ANSWER: SSS, SAS, ASA, AAS, or HL
EXPLANATION:
SAS: Three congruent sides on both triangles.
SAS: Two congruent sides and a congruent included angle on both triangles.
ASA: Two congruent angles and a congruent included side on both triangles.
AAS: Two congruent angles and a congruent side on both triangles.
HL: Two right triangles with one congruent leg and congruent hypotenuses.
What is the degree of x^5-4x+2
Answer:
degree 5
Step-by-step explanation:
the degree of a polynomial is determined by the term with the largest exponent and is the value of the exponent.
[tex]x^{5}[/tex] is the term with the largest exponent of 5
degree of polynomial is 5
Is the equation y=3x in slope-intercept form? Explain.
Answer:
y = 3x is in slope intercept form.
Step-by-step explanation:
The slope intercept form of an equation is y =mx+b where m is the slope and b is the y intercept.
y =3x can be written as
y = 3x+0
where 3 is the slope and has a y intercept of 0
y = 3x is in slope intercept form.
Pls help with correct choice
Answer:
(-1, -1)
Step-by-step explanation:
Rotating the point (-1, -1) about the origin at -90° will be a 90 degree clockwise rotation. This will map switch the x- and y-coordinates and negate the x-coordinate:
(x, y)→(y, -x)
(-1, -1) → (-1, 1)
Following this with a 90 degree counter-clockwise rotation will map
(x, y)→(-y, x)
(-1, 1)→(-1, -1)
This is the same point we started with. Thinking about this logically, if we rotate something 90 degrees clockwise and then follow that with a 90 degree counter-clockwise rotation will put the object back in its original position.
Answer:
The correct option is 3.
Step-by-step explanation:
The coordinates of point P are (4,3).
We have to find the value of
[tex]R_{p,90}\circ R_{o,-90}:(-1,-1)[/tex]
The operations area operated from right to left it means first we have to apply
[tex]R_{o,-90}[/tex], then [tex]R_{p,90}[/tex].
[tex]R_{o,-90}[/tex] means rotation 90 degree clockwise about the origin, it is defined as
[tex](x,y)\rightarrrow (y,-x)[/tex]
[tex](-1,-1)=(-1,1)[/tex]
[tex]R_{p,90}[/tex] means rotation 90 degree counter clockwise about the the point P, it is defined as
[tex](x,y)\rightarrrow (-(y-3)+4,(x-4)+3)[/tex]
[tex](x,y)\rightarrrow (-y+7,x-1)[/tex]
[tex](-1,1)\rightarrrow (-1+7,-1-1)[/tex]
[tex](-1,1)\rightarrrow (6,-2)[/tex]
Therefore the coordinates of image are (6,-2). Option 3 is correct.
5x+2(3+x) x =4 I
don't know
Answer:
34
Step-by-step explanation:
5x+2(3+x)
The first step is to distribute the 2
5x+2*3 + 2x
5x+6+2x
Combine like terms
7x+6
Now substitute x=4
7*4+6
28+6
34
What is the vertex of the graph of y = 2(x − 3)2 + 4? (1 point)
A (4, 3)
B (4, −3)
C (3, 4)
D (−3, 4)
The vertex form of the quadratic function:
[tex]f(x)=a(x-h)^2+k[/tex]
(h, k) - vertex
We have
[tex]y=2(x-3)^2+4[/tex]
h = 3, k = 4
Therefore your answer is:
C. (3, 4)The vertex of the parabola given by the equation [tex]y = 2(x - 3)^2 + 4[/tex] is at the point (3, 4), which corresponds to answer option C.
The question is asking to identify the vertex of the parabola given by the equation y = 2(x − 3)^2 + 4. In this form, the equation is in vertex form of a parabola, which is [tex]y = a(x - h)^2 + k[/tex], where (h, k) is the vertex of the parabola. Comparing the given equation to the vertex form, we can see that h = 3 and k = 4, hence, the vertex of the parabola is at the point (3, 4). Therefore, the correct answer is C (3, 4).
Mya takes a drive from a springboard at a swimming pool. The board is 3 1/2 feet above the surface of the water. The total length of her dive is 8 3/4 feet. How far below the surface of the water is mya at the end of the dive
Answer:
dive below = 5 1/4 ft
Step-by-step explanation:
Dive above water + dive below water = total dive
We know the dive above water is 3 1/2 ft
The total length of the dive is 8 3/4 ft
Substitute in what we know
3 1/2 + dive below = 8 3/4
get a common denominator of 4
3 1/2*2/2 +dive below = 8 3/4
3 2/4 +dive below = 8 3/4
Subtract 3 2/4 from each side
3 2/4 - 3 2/4 +dive below = 8 3/4 - 3 2/4
dive below = 5 1/4 ft
Final answer:
To find out how far below the surface of the water Mya is at the end of her dive, subtract the diving board's height from the total dive length. Convert mixed numbers to improper fractions for easy subtraction, and after calculation, you find that Mya is 5 1/4 feet below the water's surface.
Explanation:
To determine how far below the surface of the water Mya is at the end of the dive, we need to subtract the height of the diving board from the total length of the dive. Mya's dive board is 3 1/2 feet above the water, and the total length of her dive is 8 3/4 feet.
First, convert the mixed numbers to improper fractions to make the subtraction easier. For 3 1/2, multiply 3 (the whole number) by 2 (the denominator) and add 1 (the numerator) to get 7/2. For 8 3/4, multiply 8 by 4 and add 3 to get 35/4.
The fractions are now 7/2 and 35/4. Before subtracting, find a common denominator, which is 4 in this case.
Convert 7/2 to 14/4, so we can subtract it from 35/4.
Subtract 14/4 from 35/4 to find the distance below the water's surface: 35/4 - 14/4 = 21/4.
Finally, convert the improper fraction back to a mixed number. The mixed number for 21/4 is 5 1/4, which means Mya is 5 1/4 feet below the surface of the water at the end of her dive.
Job A pays $32,448 per year. How much would Job A pay per hour based on a 52 weeks working 40 hours per week?
Answer$15.60
Step-by-step explanation:
First you would go 32,448 divided by 52. That would give you how much you make in one week. Then you do 624 divided by 40. This would give you Job A's hourly wage ($15.60). I hope this helps.
Which car can travel at the slowest rate? Plz help fast
A) 300 miles in 4 hours
B) 450 miles in 6 hours
C) 750 miles in 10 hours
D) 800 miles in 12 hours
Answer:
D
Step-by-step explanation:
Let's find unit rate of each (number of miles traveled in 1 hour). For that we will divide the distance by time to get the unit rate.
Note: [tex]rate=\frac{Distance}{Time}[/tex]
(A)
rate = [tex]\frac{300}{4}=75[/tex] mph (miles per hour)
(B)
rate = [tex]\frac{450}{6}=75[/tex] mph
(C)
rate = [tex]\frac{750}{10}=75[/tex] mph
(D)
rate = [tex]\frac{800}{12}=66\frac{2}{3}[/tex] mph
As we can see, the first 3 rates are same, 75 mph, and the last one is [tex]66\frac{2}{3}[/tex] mph. So clearly, the last rate is the slowest.
D is the right answer.
Answer:
D) 800 miles in 12 hours
Step-by-step explanation:
300/4=75
450/6=75
750/10=75
800/12=66.6666667
evaluate the expression 4!×3!
If you mean 4 x |3| =12
If it's 4 = 3x => 0.75
I'm sorry if I didn't help, I don't understand what you mean with " ! "
Answer is 144
4! = 4*3*2*1 = 24
3! = 3*2*1 = 6
6*24 = 144
[[IGNORE MY ANSWER]]
which fact would help Estelle prove that the measure of angle KNQ is equal to the measure of MNS
To demonstrate that the measure of angle KNQ is equal to the measure of angle MNS, one should use geometric principles to show congruency or similarity between the angles, which could involve establishing congruent triangles or proportional relationships.
Explanation:To prove that the measure of angle KNQ is equal to the measure of angle MNS, one would need to establish a relationship between the two angles based on geometric principles or congruent triangles. This could involve demonstrating that the angles are corresponding angles of similar triangles, alternate interior angles of a transversal crossing parallel lines, or possibly vertical angles resulting from intersecting lines. Given the information provided, it seems that if one could show that triangles KNQ and MNS are congruent, then by the Corresponding Parts of Congruent Triangles are Congruent (CPCTC) theorem, it would follow that the angles in question are equal.
Applying trigonometry in proving congruency or similarity might be necessary, especially if an equivalence can be drawn from given proportional relationships or if one can establish that angles are congruent through right triangles and the definition of trigonometric ratios.
Anjali is adding a border to her 4 tablecloths. Each tablecloth requires 6 3/4 yards of border. How many yards of border will she use?
Answer:
27 yards
Step-by-step explanation:
multiply 4*6 3/4
Which expression is equivalent
Answer:
Option B is correct.
[tex]\frac{81m^2n^5}{8}[/tex] is equivalent to [tex]\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}[/tex]
Step-by-step explanation:
Given expression: [tex]\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}[/tex]
Using exponents power:
[tex](ab)^n = a^nb^n[/tex][tex](a^n)^m = a^{nm}[/tex][tex]a^m \cdot a^n = a^{m+n}[/tex]Given: [tex]\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}[/tex]
Apply exponent power :
⇒ [tex]\frac{3^4 (m^{-1})^4(n^2)^4}{2^3(m^{-2})^3 n^3}[/tex]
⇒ [tex]\frac{81 m^{-4}n^8}{8m^{-6}n^3} = \frac{81 m^{-4} \cdot m^6 n^8 \cdot n^{-3}}{8}[/tex]
⇒[tex]\frac{81 m^{-4+6} n^{8-3}}{8} = \frac{81 m^2 n^5}{8} = \frac{81m^2 n^5}{8}[/tex]
Therefore, the expression which is equivalent to [tex]\frac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}[/tex] is, [tex]\frac{81m^2 n^5}{8}[/tex]
Answer:
Correct choice is B
Step-by-step explanation:
Consider expression
[tex]\dfrac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}.[/tex]
1. Simplify numerator:
[tex](3m^{-1}n^2)^4=3^4\cdot (m^{-1})^4\cdot (n^2)^4=81m^{-4}n^8.[/tex]
2. Simplify denominator:
[tex](2m^{-2}n)^3=2^3\cdot (m^{-2})^3\cdot n^3=8m^{-6}n^3.[/tex]
Then,
[tex]\dfrac{(3m^{-1}n^2)^4}{(2m^{-2}n)^3}=\dfrac{81m^{-4}n^8}{8m^{-6}n^3}=\dfrac{81}{8}m^{-4-(-6)}n^{8-3}=\dfrac{81}{8}m^2n^5.[/tex]
The school play started at 2:10pm and ended at 3:22pm. How long did the play last?
Answer:
The play lasted 1 hour and 12 minutes.
Step-by-step explanation:
Start: 2:10 pm. End: 3:22 pm.
3 hours - 2 hours = 1 hour
Start: 2:10 pm. End: 3:22 pm.
22 minutes - 10 minutes = 12 minutes
The play lasted 1 hour and 12 minutes.
The boat moves 138 miles every 3 hours. How far does it move in 10 hours?
the formula for the volume of a cylinder is V=π^2h. The cylinder to the right has an exact value of 180π cubic meters.find its height.
Answer it's more singler to the right angle then the left angle ×{3*25+16=}
Step-by-step explanation:
The height of the cylinder is 20 meters.
Given,
The formula for the volume of a cylinder is V=πr²h.
The cylinder to the right has an exact value of 180π cubic meters.
Its radius is given as 3 meters in the figure.
We need to find its height.
What is the volume of a cylinder?
It is given by:
V = π r² h
Find the volume of the cylinder.
V = π r² h
We have,
V = 180π cubic meters
180π cubic meters = πr²h
Find the height of the cylinder.
We have,
180π cubic meters = πr²h
Divide both sides by π
180 cubic meters = r²h
We have,
r = 3 m
180 cubic meters = 3² square meters x h
180 cubic meters = 9 square meters x h
Divide both sides by 9.
20 meter = h
h = 20 meters
Thus the height of the cylinder is 20 meters.
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6 - x = -12
what the answer?
Answer:
x=18
Step-by-step explanation:
6 - x = -12
+x +x
6=-12 + x
+12+12
18=x
this is the workk and the answer :}
Answer:
x =18
Step-by-step explanation:
6 - x = -12
Subtract 6 from each side
6-6 - x = -12-6
-x =-18
Multiply by -1
-1*-x = -1 * -18
x = 18
The table below shows the distance d(t) in feet that an object travels in t seconds: t (seconds) d(t) (feet) 2 64 4 256 6 576 8 1024 What is the average rate of change of d(t) between 2 seconds and 6 seconds, and what does it represent? 128 ft/s; it represents the average speed of the object between 2 seconds and 6 seconds 80 ft/s; it represents the average speed of the object between 2 seconds and 6 seconds 128 ft/s; it represents the average distance traveled by the object between 2 seconds and 6 seconds 80 ft/s; it represents the average distance traveled by the object between 2 seconds and 6 seconds
Answer:
128 ft/s; it represents the average speed of the object between 2 seconds and 6 seconds
Step-by-step explanation:
The average rate of change is another way to say slope.
slope = (y2-y1)/(x2-x1)
= (576-64)/(6-2)
= (512/4)
=128 ft/s
This represents the change in ft per second, or the average speed the object is going during the time period.
Answer:
it's A
Step-by-step explanation:
How to solve this problem
Answer:i fffffffffffffffffffffoooooooooooooooooooooorrrrrrrrrrrrrrrrrrggggggggggggggggggggggooooooooooooooooooottttttttttttttttttttttttttt
Step-by-step explanation:
Brenda deposits $500 in a savings account that pays a simple interest rate of 2.5% per year. How much internet will Brenda earn after 18 months
Final answer:
Brenda will earn $18.75 in simple interest after 18 months on her $500 deposit at a 2.5% annual simple interest rate.
Explanation:
To calculate the simple interest Brenda will earn after 18 months on a $500 deposit at a simple interest rate of 2.5% per year, we can use the simple interest formula:
I = P * r * t, where:
I represents the interest earned,
P is the principal amount (the initial amount of money),
r is the annual interest rate (in decimal form), and
t is the time in years.
First, convert the interest rate from a percentage to a decimal by dividing by 100:
2.5% = 2.5 / 100 = 0.025
Next, since the time is given in months, convert it to years:
18 months = 18 / 12 = 1.5 years
Now, plug the values into the formula:
I = $500 * 0.025 * 1.5
I = $18.75
Therefore, Brenda will earn $18.75 in simple interest after 18 months.
rebecca is given two triangles, ABC and DEF. at first glance, she thinks that the triangles are congruent l. how can she use what she knows about rotations and triangle congruence to prove the triangle congruence?
Answer:
She can use rotation and overlap the two triangles, and if they overlap perfectly/identically, that means they are surely congruent.
Rebecca can prove triangle congruence by applying the rotation property. If she can rotate one triangle to align with the other, maintaining the same shape and size, then the triangles are congruent. Additionally, she can compare corresponding angles and sides to confirm congruence.
Rebecca can use rotations to prove triangle congruence by performing a sequence of rotations, translations, and reflections on one triangle to align it with the other. If she can manipulate one triangle to superimpose it exactly onto the other triangle without changing its shape or size, then they are congruent. She can also use the properties of triangle congruence, such as side-angle-side (SAS), angle-side-angle (ASA), side-side-side (SSS), or angle-angle-side (AAS), to verify their congruence. By demonstrating that the corresponding sides and angles of the two triangles are congruent based on these properties, she can conclusively prove their congruence. This approach ensures that both triangles share identical measurements and configurations, providing geometric evidence for their congruence.
Estimate the square root of 4.92+2.18x7.31
Answer:
4.36
Step-by-step explanation:
The given expression is
[tex]\sqrt{4.98+2.18\times 7.31}[/tex]
We need to estimate the value of given expression.
First approximate each term of the given expression.
First term : [tex]4.92\approx 5[/tex]
Second term : [tex]2.18\approx 2[/tex]
Third term : [tex]7.31\approx 7[/tex]
The value of given expression after approximation is
[tex]\sqrt{5+2\times 7}[/tex]
[tex]\sqrt{5+14}[/tex]
[tex]\sqrt{19}[/tex]
The approximate value of [tex]\sqrt{19}[/tex] is 4.36.
Therefore, the estimated value of given expression is 4.36.
The estimated square root of 4.92 + 2.18 x 7.31 is between 4 and 5.
To estimate the square root of 4.92 + 2.18 x 7.31, we first calculate the value inside the square root:
4.92 + 2.18 x 7.31 = 4.92 + 15.8678 = 20.7878
Next, we estimate the square root of 20.7878:
Since the square root of 16 is 4, and the square root of 25 is 5, we can estimate that the square root of 20.7878 is between 4 and 5.
Therefore, the estimated square root of 4.92 + 2.18 x 7.31 is between 4 and 5.
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Please help.
Write the linear inequality shown in the graph.
Please explain how you got your answer.
A. y > or = 3x +4
B. y < or = 3x + 4
C. y < or = 3x - 4
D. y > or = 3x - 4
Answer:
D. y > or = 3x - 4
Step-by-step explanation:
Looking at the graph, we know the y intercept, or where the graph crosses the y axis, is -4.
We can find the slope of the line from 2 points (0,-4) and (2,2)
The slope is given by
m = (y2-y1)/(x2-x1)
= (2--4)/(2-0)
= (2+4)/(2-0)
=6/2
=3
Using the slope intercept form for the line, y=mx+b
y = 3x+-4
y = 3x-4
The graph is shaded above the line so y is greater than the line, and the line is solid so y is also equal to the line
y ≥3x-4
Jaden is in charge of building a dance floor for the school dance. He wants to build the largest dance floor that he can while staying within the budget. His plan is to buy wooden planks and lay them side by side on the grass just outside the gym. A plank that 2 inches thick, 4 inches wide, and 8 feet long costs $3.25. How large of a dance floor, in square yards, can he build with $526.50?
Jaden can build a dance floor measuring 48 square yards with his budget of $526.50, based on the cost of $3.25 per wooden plank.
To calculate the size of the dance floor Jaden can build with his budget, we first need to determine how many wooden planks he can purchase. Each plank costs $3.25 and he has $526.50 to spend.
Number of planks = Total budget / Cost per plank
= $526.50 / $3.25
= 162 planks
Next, we need to find out the area that each plank covers. Since each plank is 8 feet long and 4 inches (or 1/3 feet) wide, its area in square feet is:
Area per plank = Length * Width
= 8 feet * 1/3 feet
= 8/3 square feet
Now, let's calculate the total area covered by 162 planks:
Total area in square feet = 162 planks * [tex]\frac{8}{3}[/tex] square feet/plank
= 432 square feet
Since 1 square yard is equivalent to 9 square feet, we convert the total area to square yards:
Total area in square yards = Total area in square feet / 9
= 432 square feet / 9
= 48 square yards
Therefore, Jaden can build a dance floor measuring 48 square yards within his budget.
a 1 kg ball has 10 joules of kinetic energy and starts to roll up a hill how far up the hill will it be when it stops
Answer:
The ball will roll upto 1 m.
Step-by-step explanation:
A 1 kg ball has 10 joules of kinetic energy and starts to roll up a hill.
As along the hill the ball rises up, it loses its kinetic energy. The kinetic energy is converted to potential energy.
According to the law of conservation of energy, the kinetic energy plus the potential energy equals a constant.
Here given kinetic energy as 10 J, so this energy will get converted to potential energy.
We know that, potential energy is
[tex]P.E=m\cdot g\cdot h[/tex]
where,
m is the mass, g is the acceleration due to gravity and h is the height.
Putting the values,
[tex]\Rightarrow 10=1\times 10\times h[/tex]
[tex]\Rightarrow 10=10 h[/tex]
[tex]\Rightarrow h=1\ m[/tex]
A dripping faucet loses about 2.5×10^−4 liters of water each minute. There are approximately 3×10^5 minutes in a month. About how many liters of water are lost because of the dripping faucet in a month?
Answer:
750 liters are lost.
Step-by-step explanation:
This question can be solved with multiplication.
Its important that when multiplying scientific forms of number together, always remember to add the exponents. -5+4=-1
-25 x -30= 750
750 liters are lost in a month.
Hope this helps!
Answer:
The answer should be 7.5*10 ^1 and that equalls 75
Step-by-step explanation:
what is a cell? Also how is the cell made
James swam 3 and 1/3 miles. For 2/6 of his swim he did the backstroke. How many miles did he swim the backstroke?
Answer:i believe thats only a third of a mile
Step-by-step explanation:
if you have the both take on the same denominator the 3 miles would be 3/3 and then it would be 6/6 and the 1/3 mile would become 2/6 hope i helped
Answer: yes its 1/3 of a mile
Step-by-step explanation:
Jenny's Knitting Corner had a profit of $298 in January and a loss of $370 in February. What was the total loss for the two months?
A.) -$75
B.) -$668
C.) $72
B.) $668
-72, I don't see any of that over there
Evaluate the expressions.
Answer:
- 1 and 1
Step-by-step explanation:
using the rule of exponents
• [tex]a^{0}[/tex] = 1
- ([tex]2^{0}[/tex]) = - 1
( - [tex]\frac{4}{9}[/tex])^0 = 1
For this case we have that by definition, any number raised to zero gives 1.
Knowing that:
[tex]\frac {a ^ 2} {a ^ 2} = 1[/tex] and by power properties of the same base we have that: [tex]\frac {a ^ 2} {a ^ 2} = a ^ {2-2} = a ^ 0[/tex]
So:
[tex]a ^ 0 = 1[/tex]
So, if we have:
[tex]- (2) ^ 0 = - (1) = - 1\\(- \frac {4} {9}) ^ 0 = 1[/tex]
Answer:
[tex]- (2) ^ 0 = - (1) = - 1\\(- \frac {4} {9}) ^ 0 = 1[/tex]
you are buying one flower for each member of the swim team to wear at an awards tonight there are 19 members on the team you have decided to buy pink roses and yellow roses the pink roses cost $3 and the yellow roses cost $2 you will spend $50 how many pink roses should you buy?how many yellow roses should you buy?
Answer: There are 12 pink roses and 7 yellow roses.
Step-by-step explanation:
Since we have given that
Total number of members = 19
Let the number of pink roses be x
Let the number of yellow roses be 19-x
Cost of pink roses be $3
Cost of yellow roses be $2
Total amount spend to buy = $50
According to question,
[tex]3x+(19-x)2=\$50\\\\3x+38-2x=\$50\\\\x+38=\50\\\\x=\$50-\$38\\\\x=\$12[/tex]
Hence, Number of pink roses be 12
and number of yellow roses be
[tex]19-12=7[/tex]
Hence, there are 12 pink roses and 7 yellow roses.
To solve the problem, we set up two equations representing the number of team members and the total cost of roses, respectively. By solving these equations, we find that we should buy 8 pink roses and 11 yellow roses.
Explanation:This problem is a type of algebraic word problem. We need to find out the number of pink roses and yellow roses to purchase with the total amounts of $50. Here's how we can solve this: Assuming that 'p' stands for pink roses and 'y' stands for yellow roses. We have two equations based on the problem:
p + y = 19 (This is because there are 19 members on the team.) 3p + 2y = 50 (That's because the pink roses cost $3 and the yellow roses cost $2 and you'll spend a total of $50.)By resolving these system of equations, the solution yields that you should buy 8 pink roses and 11 yellow roses.
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