Answers
Your answer will be: (The first option) CPCTC
Which statement cannot be justified given that triangle PBJ is congruent to triangle TIM?
Your answer will be: (The last option) segment JP congruent to segment MI
Which theorem or postulate can you use to prove triangle ADM congruent to triangle ZMD?
Your answer will be (The third option) SAS
Answer:
CPCTC; JP≅MI; SAS
Step-by-step explanation:
For the first question, we use the congruence statement. When we are using the congruence statement to match corresponding pieces, the justification is that Congruent Parts of Congruent Triangles are Congruent, or CPCTC.
For the second question, we again use CPCTC and the congruence statement. P matches T and B matches I, so PB = TI and B = I. J matches M also, so BJP = IMT. However, P does not match I, so JP does not equal MI.
For the third question, we have two sides (AM matching ZD and BD matching itself) and an included angle (AMD and ZDM). This is Side-Angle-Side, or SAS.
Related Questions
Twice a number decreased by seven
Answers
Consider the following equation, bh+hr=25 when solving for h
Answers
2.) Divide out b+r: h=25/(b+r)
The answer is 25/(b+r)
Answer:
[tex]h=\frac{25}{b+r}[/tex]
Step-by-step explanation:
Given equation,
[tex]bh+hr=25[/tex]
For solving this equation for h,
We need to isolate h in the left side of the equation,
We can write,
[tex]h(b+r) = 25[/tex] ( by the converse of distributive property ),
Divide both sides by b + r,
[tex]h=\frac{25}{b+r}[/tex]
Which is the required equation.
Suppose you need to buy fabric to make costumes for a school play. The budget is $16 for each costume.
You need 12 costumes made from brown fabric. Each brown costume needs 3.25 yards of fabric. You need 8 costumes made from red fabric. Each red costume needs 3.5 yards of fabric.
You have gotten prices from two stores.
Store A: Brown fabric is $4.25 per yard. Red fabric is $4.75 per yard. On any purchase over $40, you will receive a $10 coupon for your next purchase. This store is 5 miles from school.
Store B: Both fabrics are $4.50 per yard. This store is walking distance from school.
What is the maximum budget for the fabric?
Answers
Hope this helped!
20 x 16 = 320
The maximum budget for the fabric is $320
Translate the following phrase into an algebraic expression or equation.
the square of the difference of two numbers
Answers
(x - y)^2
Done.
Jolinda scores 21 points during her basketball game. Her team scores a total of 28 points. What fraction of the team’s points does Jolinda score? Choose the answer in simplest form.
Answers
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
If Jolinda scored 21 points of 28 total, the fraction is:
[tex]\frac{21}{28}=\frac{3}{4}= 0.75(or75\%)[/tex]
Remember that a fraction is the representation of a portion among the total.
In addition, this fraction also would represent the effectiveness of Jolinda, we could say that she is able to score a 75% of team's points.
Which line is parallel to a line that has a slope of 3 and a y-intercept at (0, 0)?
line AB
line CD
line FG
line HJ
Answers
Answer:
line HJ
Step-by-step explanation:
we know that
The equation of the line that has a slope of [tex]3[/tex] and a y-intercept at [tex](0, 0)[/tex] is equal to
[tex]y=3x[/tex] -----> is a proportional relationship
Remember that
If two lines are parallel , then their slopes are the same
Find the slope of the line HJ
[tex]H(-1,-4), J(1,2)[/tex]
The formula to calculate the slope between two points is equal to
[tex]m=\frac{2+4}{1+1}[/tex]
[tex]m=\frac{6}{2}[/tex]
[tex]m=3[/tex]
therefore
The line HJ is parallel to the line [tex]y=3x[/tex]
solve the inequality
6n-3 > -18
a. n > -2.5
b. n > -3.5
c. n < -2.5
d. n > 2
Answers
n > 2 {divided each side by -6 and changed the inequality sign}
B.) n > 2
Consider kite FGHJ. What are the values of a and b?
Answers
Answer:
Hmmm... interesting on my final I answered B: a=14, b=8 and got it wrong but, when I did it again I got C: a=17, b=6
Step-by-step explanation
Answer:
The value of a=17 cm and b=6 cm
C is correct option.
Step-by-step explanation:
Given: FGHJ is a kite.
Kite has property their adjacent sides are equal. Top two side of the kite is equal and bottom two side of the kite is equal.
FG=GH because ∠F=∠H.
30=2a-4
2a=34
a=17 cm
Similarly, ∠F=∠H
FJ=HJ
3b+6=24
3b=18
b=6 cm
Hence, The value of a=17 cm and b=6 cm
How to find the slope of a line perpendicular to each given line?
Answers
Ex:
slope= 2/3
perpendicular slope= -3/2
solve the system by substitution
2x-y+z=-4
z=5
-2x+3y-z=10
Answers
To solve the system by substitution, substitute the value of z in the equations and solve them simultaneously.
Explanation:To solve the system by substitution, we need to substitute the value of z in the other equations. Given that z=5, we can substitute this value in the first and third equations:
2x - y + 5 = -4
-2x + 3y - 5 = 10
Now, we can solve these two equations simultaneously to find the values of x and y.
To solve a system of equations by substitution, express one variable in terms of the other and substitute it into the other equations to eliminate that variable before solving for the remaining variables.
Explanation:To solve this system of equations by substitution:
Start by expressing one variable in terms of the other variable from one of the equations. In this case, we can express z as 5 since it is given.Substitute the value of z into the other two equations to eliminate the variable z.Solve the resulting system of equations for the remaining two variables.By following these steps, you can find the values of x, y, and z that satisfy the system of equations.
What is the value of y?
Enter your answer in the box.
y =
Answers
Answer-
[tex]\boxed{\boxed{y^{\circ}=26^{\circ}\ 45'}}[/tex]
Solution-
As the triangle ABC is an isosceles triangle, with AC = BC.
So the angles A and B will be same, i.e
[tex]\Rightarrow \angle A=\angle B[/tex]
[tex]\Rightarrow 34^{\circ}=(x-5)^{\circ}[/tex]
[tex]\Rightarrow x^{\circ}=34^{\circ}+5^{\circ}[/tex]
[tex]\Rightarrow x^{\circ}=39^{\circ}[/tex]
As sum of all angles in a triangle is 180°, so
[tex]\Rightarrow \angle A+\angle B+\angle C=180^{\circ}[/tex]
[tex]\Rightarrow 34^{\circ}+39^{\circ}+4y^{\circ}=180^{\circ}[/tex]
[tex]\Rightarrow 4y^{\circ}=180^{\circ}-34^{\circ}-39^{\circ}[/tex]
[tex]\Rightarrow 4y^{\circ}=107^{\circ}[/tex]
[tex]\Rightarrow y^{\circ}=\dfrac{107^{\circ}}{4}[/tex]
[tex]\Rightarrow y^{\circ}=26.75^{\circ}[/tex]
[tex]\Rightarrow y^{\circ}=26^{\circ}\ 45'[/tex]
PLEASE HELP ME BOTH MY TUTORS LEFT AT THE SAME TIME I NEED MAJOR HELP!!! PPPPLLLLEEEEAAAASSSSEEE
What is the length of an arc with a central angle of 5/4π radians and a radius of 34 centimeters?
Use 3.14 for pi.
Enter your answer, as a decimal, in the box.
What is the value of y?(picture)
Enter your answer in the box.
Round your final answer to the nearest whole number.
What is tanB ? (picture)
Enter your answer, as a simplified fraction, in the box.
Based on the diagram, what is tanA ?(picture)
Enter your answer in the boxes.
What is the value of x?
sin(x+34)°=cos(2x+20)°
Enter your answer in the box.
What is the value of x?
cos63°=sinx
Enter your answer in the box.
Answers
The formula to use is
s = r*theta
where,
s = arc length
r = radius
theta = angle in radians
Note: if the angle is not in radians, you have to convert it over to radians. However, in this case we are told the angle is "5pi/4 radians". So no conversion is needed.
In this case,
s = unknown (this is what we want to solve for)
r = 34
theta = 5pi/4
keep in mind that 5pi/4 is the same as (5/4)*pi
----------------------------
Plug the value of r and theta into the formula to get...
s = r*theta
s = 34*(5pi/4)
s = (34*5/4)*pi
s = 42.5*pi
s = 42.5*3.14
s = 133.45
----------------------------
----------------------------
Final Answer: 133.45
===============================================
Problem 2
sin(angle) = opposite/hypotenuse
sin(61.7) = 8/y
y*sin(61.7) = 8
y = 8/sin(61.7)
y = 9.08598042654456 ... use a calculator
y = 9 ... rounding to the nearest whole number
----------------------------
----------------------------
Final Answer: 9
===============================================
Problem 3
We need to know the length of BC. Let's call this x for now. Use the pythagorean theorem to find x
x^2 + 14^2 = 50^2
x^2 + 196 = 2500
x^2 + 196-196 = 2500-196
x^2 = 2304
sqrt(x^2) = sqrt(2304)
x = 48
So BC = 48 units long
Now we can compute the tangent of angle B
----------------------------
tan(angle) = opposite/adjacent
tan(B) = AC/BC
tan(B) = 14/48
tan(B) = 7/24
----------------------------
----------------------------
Final Answer: 7/24
===============================================
Problem 4
In this current stage, I cannot answer this question because the image isn't showing up. On my end, all I see is a black rectangle with no triangle showing. It seems like some kind of glitch is happening. Please repost this image. Thank you.
===============================================
Problem 5
There are multiple answers here so it seems like there should be a restriction. Does it state what the restriction must be? Please let me know. Thank you.
===============================================
Problem 6
Rule:
sin(x) = cos(90-x)
where x is an angle in degrees
----------------------------
Using that rule mentioned above, we can replace the "sin(x)" term with "cos(90-x)" then solve for x
cos(63) = sin(x)
cos(63) = cos(90-x)
both arguments must be equal, so 63 must be equal to 90-x
63 = 90-x
63+x = 90-x+x
x+63 = 90
x+63-63 = 90-63
x = 27
----------------------------
----------------------------
Final Answer: 27
A water tank can hold 234 cubic meters of water. How many gallons can the water tank hold?
A. 6,176 gallons
B. 61,776 gallons
C. .886 gallons
D. 23,400 gallons
Answers
Approximately, 1 cubic meter is equal to 264.172 gallons.
i hope this helps you
1 cubic meter of water = 264 gallons of water
264*234 would be your equation :)
The diameter of a small gear is 16 cm this is 2.5 more than 1/4 of the diameter of a larger gear ehat is the diameter of the larger gear
Answers
the small one has a diameter of 16cm, we know that, this is 2.5 more than (1/4)x.
[tex]\bf 16=\cfrac{1}{4}x+2.5\implies 16-2.5=\cfrac{x}{4}\implies 13.5=\cfrac{x}{4}\implies 4(13.5)=x \\\\\\ 54=x[/tex]
In Mrs. Johnson's class there are 28 student desks each desk measures 26.17 inches long if you were to line up all the desks end to end how long would all the desk be?
Answers
number of desks* how long it measures = total measurement
28*26.17
=732.76 inches
Solve the equation
9|9-8x|=2x+3 show work.
Answers
[tex]\bf 9|9-8x|=2x+3\implies |9-8x|=\cfrac{2x+3}{9}\\\\\\ \begin{cases} +(9-8x)=\cfrac{2x+3}{9}\\\\ -(9-8x)=\cfrac{2x+3}{9} \end{cases}\\\\ -------------------------------\\\\ 9-8x=\cfrac{2x+3}{9}\implies 81-72x=2x+3\implies 78=74x \\\\\\ \cfrac{78}{74}=x\implies \cfrac{39}{37}=x\\\\ -------------------------------\\\\ -(9-8x)=\cfrac{2x+3}{9}\implies -9+8x=\cfrac{2x+3}{9} \\\\\\ -81+72x=2x+3\implies 70x=84\implies x=\cfrac{84}{70}\implies x=\cfrac{6}{5}[/tex]
To solve the equation 9|9-8x|=2x+3, follow these steps: remove the absolute value by considering both positive and negative cases, combine like terms, solve for x, and simplify the solutions.
Explanation:To solve the equation 9|9-8x|=2x+3, we need to isolate the variable x. Let's start by removing the absolute value by considering both positive and negative cases.
Case 1: Positive
9-8x = 2x+3
Combine like terms: -8x - 2x = 3 - 9
-10x = -6
Divide both sides by -10: x = -6/-10
Simplify: x = 0.6
Case 2: Negative
-(9-8x) = 2x+3
Distribute the negative sign: -9+8x = 2x+3
Combine like terms: 8x - 2x = 3 + 9
6x = 12
Divide both sides by 6: x = 12/6
Simplify: x = 2
Therefore, the solutions to the equation are x = 0.6 and x = 2.
Learn more about Solving Equations here:https://brainly.com/question/17595716
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sam and bethan share £54 pounds in the ratio 5:4 workout how much each person gets
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ratio is 5:4
5+4 =9
54 pounds divided by 9 = 6
6*5 = 30
6*4 = 24
Sam gets 30 pounds Bethan gets 24 pounds
Which element is located at B42?
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The probability that an event will occur is 100%. Which of these best describes the likelihood of the event occurring?
Likely
Certain
Unlikely
Impossible
Answers
Answer: Certain
Step-by-step explanation:
A probability is from 0 - 1, if not 0 or 1 it is a fraction, percentage, or decimal. 100% also equal to 1 is the highest amount you can get, therefore the answer is certain.
Write the base of −(−6)^5.
Answers
Rectangle ABCD is transformed to AB’C’D’ by a dilation .What is the scale factor used for the dilation ?
Answers
Answer: The required scale factor that is used for the dilation is 3.
Step-by-step explanation: Given that the rectangle ABCD is transformed to A'B'C'D' by a dilation.
We are to find the scale factor that is used for the dilation.
We know that
the scale factor of dilation is defined as
[tex]S=\dfrac{\textup{the length of a side of the dilated figure}}{\textup{the length of the corresponding side of the original figure}}.[/tex]
From the graph, we see that
in rectangle ABCD, the length the side AB is 2 units
and
the length of the corresponding side A'B' in the dilated rectangle A'B'C'D' is 6 units.
Therefore, the scale factor of dilation is given by
[tex]S=\dfrac{A'B'}{AB}=\dfrac{6}{2}=3.[/tex]
Thus, the required scale factor that is used for the dilation is 3.
factor by grouping: 12x^3-20x+3x-5
Answers
1,705x-5
F(x) = 4x^2+1
Group 1: 3x-5
Group 2: 12x3-20x2
This is going to take a long time to explain so the answer is just (12x2 - 12x - 5) • (x + 1)
Please help me thank you.
Answers
A train travels from city a to city b and then to city
c. the distance from a to b is 200 miles and the distance from b to c is 70 miles. the average speed from a to b was 50 miles per hour, and the average speed from b to c was 35 mph. what was the average speed from a to c (that is for the entire trip) in miles per hour?
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What Is The Perimeter Of The triangle ? A(1,2) B(4,6) C(4,2)
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you can pretty much get AC and BC right off the grid.
now, let's check how long is AB then.
[tex]\bf \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) A&({{ 1}}\quad ,&{{ 2}})\quad % (c,d) B&({{ 4}}\quad ,&{{ 6}}) \end{array}\qquad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2} \\\\\\ AB=\sqrt{(4-1)^2+(6-2)^2}\implies AB=\sqrt{3^2+4^2} \\\\\\ AB=\sqrt{9+16} \implies AB=\sqrt{25}\implies AB=5[/tex]
so the perimeter will then be AB + BC + AC.
Which of the following points is a solution of the inequality y < -|x|?
a. (1,-2)
b. (1,-1)
c. (1,0)
Answers
You can substitute each point into the inequality which gives you the answer of a
None of the given points is the solution to the inequality y < -|x|.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.
As per the given inequality,
y < -|x|
As per the given below, the dotted line is not included in the region thus, point (1,-1) is not included.
Hence "None of the given points is the solution to the inequality y < -|x|".
For more about inequality,
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A solid right pyramid has a square base with an edge length of x cm and a height of y cm. Which expression represents the volume of the pyramid?
Answers
The correct expression representing the volume of the pyramid is:
[tex]\[ \frac{1}{3} \times x^2 \times y \[/tex]. Therefore the correct option is 2.
The volume [tex]\( V \)[/tex] of a pyramid is given by the formula:
[tex]\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \][/tex]
For a square pyramid, the base area is given by [tex]\( \text{Base Area} = \text{side length}^2 \)[/tex].
In this case, the side length is [tex]\( x \)[/tex] and the height is [tex]\( y \)[/tex]. Therefore, the expression for the volume [tex]\( V \)[/tex] is:
[tex]\[ V = \frac{1}{3} \times x^2 \times y \][/tex]
Now, let's compare this with the given options:
1. [tex]\( \frac{1}{3}xy \)[/tex] cm³
2. [tex]\( \frac{1}{3}x^2y \)[/tex] cm³
3. [tex]\( \frac{1}{2}xy^2 \)[/tex] cm³
4. [tex]\( \frac{1}{2}x^2y \)[/tex] cm³
Now, we can see that the correct expression representing the volume of the pyramid is:
[tex]\[ \frac{1}{3}x^2y \, \text{cm}^3 \][/tex]
So, the correct option is option 2: [tex]\( \frac{1}{3}x^2y \)[/tex] cm³.
The correct expression representing the volume of the pyramid is:
[tex]\[ \frac{1}{3} \times x^2 \times y \[/tex]
Complete question:
A solid right pyramid has a square base with an edge length of x cm and a height of y cm. Which expression represents the volume of the pyramid?
1. [tex]\( \frac{1}{3}xy \)[/tex] cm³
2. [tex]\( \frac{1}{3}x^2y \)[/tex] cm³
3. [tex]\( \frac{1}{2}xy^2 \)[/tex] cm³
4. [tex]\( \frac{1}{2}x^2y \)[/tex] cm³
Look at the figure. If doing a two-column proof, what will be the very last statement?
Question 1 options:
X = 15
MN¯¯¯¯¯¯¯ = RS¯¯¯¯¯
Division Property of Equality
3x+3 = 5x-27
Save
Answers
In the given question, we are required to prove that x = 15
Therefore, the very last statement of the two-column proof for the given figure is x = 15.
F(x) = |x − 1| find the derivative from the left at x = 1. if it does not exist, enter none.
Answers
A graph of the function is shown below.
The function is either
f(x) = x-1, for x>1
or
f(x) = 1-x, for x<1
Therefore
f'(x) = 1, for x>1
and
f'(x) = -1, for x<1
Answer: -1
What is the product of −412 and 212 ? Enter your answer as a mixed number, in simplified form, in the box.
Answers
It seems that the two factors are - 4 + 1/2 and 2 + 1/2.
Let's use latex for better underestanding:
[tex](-4 \frac{1}{2} ).(2 \frac{1}{2} ) = (-4 - \frac{1}{2} ).(2+ \frac{1}{2} )=(- \frac{9}{2} ).( \frac{5}{2})=- \frac{45}{4} = -( \frac{44 + 1}{4} ) = - 11 \frac{1}{4} [/tex]
Answer: - 11 1/4