Answers
Answer:
x = 43.25
Step-by-step explanation:
In the given figure :
In ΔDEF ,
DF = FE
⇒ ∠DEF = ∠FDE = x ( Angles opposite to equal sides are equal)
Now, using angles sum property of a triangle in ΔDEF
∠DEF + ∠FDE + ∠DFE = 180
⇒ ∠FDE + ∠FDE + 93.5 = 180
⇒ x + x = 180 - 93.5
⇒ 2x = 86.5
⇒ x = 43.25
Answer: D. 43.25
Step-by-step explanation:
I have just taken the test
Related Questions
Which of the following is not involved in constructing a circle inscribed in a triangle?
A- angle bisectors
B- perpendicular bisectors
C- incenter of a triangle
D- center of a circle
Answers
i) Draw 2 (or 3) of the angle bisectors. Their point of intersection is the center of the inscribed circle, or the incenter. Let's denote this point by O
ii) Draw a perpendicular line segment from the incenter to one of the sides. Let the intersection of the perpendicular from O and the side be T.
iii) Draw a circle with center the incenter, and radius the distance OT.
Answer: B) Only perpendicular bisectors are not involved.
Help me with this question
Answers
Your Y-intercept (0, y), you plug in the y value as B. M is where you put your slope.
So for the second one (top right), you have a Y-int of -2 or (0, -2) and a slope/m of 1/1 = 1. So your equation would be y = 1x - 2 or y = x - 2.
Maths question!!! The angles in triangle ABC are given in degrees, prove that AB=AC
Answers
We know that all the interior angles of a triangle equal to 180 degrees.
4x+5x-8+3x+20=180
12x=180-12
12x=168
x=168/12
x=14
Put in these values of to find if AB=AC.
(4×14)(3×14+20)=(4×14)(5×14-8)
Solve for LHS first,
(4×14)(3×14+20) = 56×62
=3472
Solve for RHS next,
(4×14)(5×14-8) = 56×62
=3472
Since LHS=RHS, AB is also equal to AC.
Hope I helped :)
What is the equation of the line graphed below?
Select the correct answer below.
A.1/2x+y=3
B.1/2x+y=6
C.-1/2x+y=3
D.-1/2x+y=6
Answers
Solve the equation to put it in slope intercept form. (y=mx+b)
1/2x + y = 3
Subtract 1/2x from both sides.
y = -1/2x + 3
The y-intercept (where the line crosses the y-axis) is three and the slope (rise over run) is -1/2.
Hope this helps!
Answer: A. [tex]\dfrac{1}{2}x+y=3[/tex]
Step-by-step explanation:
The equation of a line passing through two points (a,b) and (c,d) is given by :-
[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]
Then the equation of a line passing through two points (0,3) and (6,0) is given by :-
[tex](y-3)=\dfrac{0-3}{6-0}(x-0)\\\\\Rightarrow\ y-3=\dfrac{-1}{2}x\\\\\Rightarrow\ \dfrac{1}{2}x+y=3[/tex]
Hence, the equation which is graphed in the given picture :-
[tex]\dfrac{1}{2}x+y=3[/tex]
Kyle bought a 5 pound pumpkin for $2.60. How much did he pay per pound?
Answers
2.60 divided by 5 equals 0.52
:P
2.60 divided by 5 equals 0.52
Evaluate 2x + 6y when x= −4/5x and y= 1/3
Answers
Four cousins were born at two-year intervals. The sum of their ages is 36. How old are they?
Answers
Answer:
6, 8, 10, 12
Step-by-step explanation:
x + (x + 2) + (x + 4) + (x + 6) = 4x + 12.
4x + 12 = 36
24 = 4x
x = 6
Factor. x(3y−5)+3(3y−5)
Answers
Answer: The required factored form is [tex](x+3)(3y-5).[/tex]
Step-by-step explanation: We are given to factor the following polynomial :
[tex]P=x(3y-5)+3(3y-5)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We will be using the following factorization formula :
[tex]a(b+c)+d(b+c)=(a+d)(b+c).[/tex]
So, from expression (i), we get
[tex]P\\\=x(3y-5)+3(3y-5)\\\\=(x+3)(3y-5).[/tex]
Thus, the required factored form is [tex](x+3)(3y-5).[/tex]
16. 7⁄8 = ?⁄48 A. 42 B. 1 C. 13 D. 6
i cant answer it :(
Answers
7/8=0.875
42/48=0.875
Hope this helps!
EASYYYYYYYYYYYYYYYYYYYYYYYYYYYY
Answers
______________________________________________
In this answer choice, when you divide each side by "-5" ;
you get: " ΙxΙ = -5 ;
If x = 5, the result is "5" ; NOT "-5" .
If x = -5, the result is "5" ; NOT "-5" .
The "absolute value" of a value is always "zero" or greater.
______________________________________________
Answer choice: [C]: has no solution.
______________________________________________
Suppose that 18% of people have a dogdog, 34% of people have a cat, and 88% of people own both. What is the probability that someone owns a dog
or a cat
Answers
So, 52% of people have either a dog or a cat.
Henry drove 195 miles in 3 hours. How many miles per hour was he driving?
Answers
666-601=65
boom
it wont let me put it in without these words\
Explain why the t-distribution has less spread as the number of degrees of freedom increases
Answers
Molly earns $8 per hour at her job. Last month, Molly worked for 45 hours. On her paycheck, Molly noticed that she paid $38.50 for federal income tax, $22.32 for Social Security, and $5.22 for Medicare. Molly's net income was
Answers
Molly's gross income is $360, and after subtracting her total deductions ($66.04), her net income is $293.96. This demonstrates the difference between gross and net income.
Explanation:To find Molly's net income, we will first need to calculate her gross earnings, and then subtract her deductions. Molly's gross earnings are her hourly wage multiplied by the number of hours she worked, so: $8/hr * 45 hours = $360.
Next, we add up Molly's deductions: $38.50 (federal tax) + $22.32 (Social Security) + $5.22 (Medicare) = $66.04.
Finally, to determine Molly's net income, we subtract her total deductions from her gross earnings: $360 - $66.04 = $293.96.
This example illustrates the concept of gross income versus net income. Gross income is the total amount earned before deductions, and net income is the amount left after deductions have been subtracted, which is the exact amount the employee receives in their paycheck.
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The degree of the polynomial function f(x) is 4.
The roots of the equation f(x)=0 are −6 , −2 , 1, and 3.
Which graph could be the graph of f(x) ?
Answers
Answer:
option B
Step-by-step explanation:
The degree of the polynomial function f(x) is 4.
The roots of the equation f(x)=0 are [tex]−6 , −2 , 1,[/tex] and 3.
We are given with four roots. they are the x intercepts
x intercepts are [tex]−6 , −2 , 1,[/tex] and 3
The polynomial has degree 4, the polynomial goes up on both sides
We look at the graph that has x intercepts [tex]−6 , −2 , 1,[/tex] and 3 and both ends of the graph goes up
option B is correct
The graph that could be the graph of f(x) is;
The second graph which is the one at the top right
We are told that;
Degree of polynomial f(x) = 4; This means it has 4 roots
Roots of polynomial = -6, -2, -1 and 3
The roots of a polynomial simply means the values of x at which the function f(x) is equal to zero. This simply means the x- intercept is the root.
Thus, the x-intercept of the correct graph should be at;
x = -6; x = -2 ; x = -1 and x = 3
Looking at the given graphs, the only one that has its' x-intercepts at x = -6; x = -2 ; x = -1 and x = 3 is the second graph at the top right.
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An on-demand movie company charges $2.95 per movie plus a monthly fee of $39.95. Which expression represents the yearly cost for x movie rentals?
Answers
Answer:
2.95 x + 39.95 (12)
Hope this helps!!
The yearly cost for a student's movie rentals with a monthly subscription fee and a per-movie fee is expressed as $479.40 + $2.95x, where x is the number of movies rented.
Explanation:The yearly cost for x movie rentals from an on-demand movie company that charges a monthly fee and a per-movie fee can be represented by an algebraic expression. To find this expression, we need to account for both the monthly fee and the cost per movie.
The monthly fee is $39.95, so over one year, this fee would be 12 times $39.95.
For each movie rented, there is an additional charge of $2.95. If x movies are rented over a year, this cost is x times $2.95.
Combining these two costs gives us the total yearly cost:
Yearly Cost = (12 \(\times\) $39.95) + ($2.95 \(\times\) x)
This can be simplified to:
Yearly Cost = $479.40 + $2.95x
is 8.23 a rational number?
Answers
the area of a triangle is 56.4cm and the base is 12cm.What is the height of the triangle?
Answers
area of a triangle = 1/2 base x height
56.4 = 1/2 x 12 x height
56.4 = 6 x height
height = 56.4 /6 = 9.4cm
Factor 16x 4 – 81 completely. First factor each term. 16x 4 = (_____)2 81 = ___ 2 Then use a2 – b2 = (a – b)(a + b) twice. Show your work. 16x 4 – 81 =
Answers
16x^4 = (4x^2)^2
81 = 9^2
16x^4 - 81 =
(4x^2 - 9) (4x^2 + 9) <==
The completely factored form of expression 16x⁴ - 81 is (4x² - 9)(4x² + 9).
To factor the expression 16x⁴ - 81 completely, let's first factor each term:
16x⁴ can be written as (4x²)² since (4x²)²= 16x⁴.
81 can be written as 9² since 9² = 81.
Now, we can rewrite the expression:
16x⁴ - 81 = (4x²)² - 9²
Using the formula a² - b² = (a - b)(a + b).
we can apply it twice to factor the expression further:
(4x² - 9)(4x² + 9)
Therefore, the completely factored form of 16x⁴ - 81 is (4x² - 9)(4x² + 9).
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If PS || QR what is the measure of angle RSP?
Answers
Plug in 9 for 8y - 13 we get 8(9)-13 = 72- 13 = 59.
The inside angles of triangles must equal 180 so now we have 3x + 2x + 1 + 59 = 180. Combine like terms you get 5x + 60 = 180. Subtract 60 from both sides, you get 5x = 120. Divide by 5, x = 24. This is NOT your answer; we are not done yet!
We must plug in again for the angle represented by 2x + 1. The middle letter tells you which one to plug in for (rSp). x = 24 so 2(24) + 1. 48 + 1 = 49.
Your answer is B. 49. degrees.
Option B is correct. The measure of m<RSP is 49 degrees
From the diagram shown
3x + 2x + 1 + 8y - 13 = 180
5x + 8y - 12 = 180
5x + 8y = 180 + 12
5x + 8y = 192 ................. 1
Also, since PQ is parallel to PS, hence;
5y +14 = 8y - 13 (alternate interior angle)
5y - 8y = -13 - 14
-3y = -27
y = 27/3
y = 9
Substitute y = 9 into equation 1
5x + 8y = 192
5x + 8(9) = 192
5x + 72 = 192
5x = 192 - 72
5x = 120
x = 120/5
x = 24
Get the measure of <RSP
m<RSP = 2x + 1
m<RSP = 2(24) + 1
m<RSP = 48 + 1
m<RSP = 49degrees
Hence the measure of m<RSP is 49 degrees
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There are approximately 45 hundred species of mammals on Earth and 2.8 x 10 to the 4 species of fish. What is the difference in the number of species?
This is SCIENTIFIC NOTATION
Answers
Answer:
23500
Step-by-step explanation:
We are given that
Number of species of mammals on earth=approximately 45 hundred=4500
Number of species of fish=[tex]2.8\times 10^4=2.8\times 10000=28000[/tex]
We have to find the difference between the number of species of mammals and fish.
In order to find the difference in the number of species we will subtract number of species mammals from the number of species of fish.
Difference=28000-4500=23500
Hence, the difference between the number of species of mammals and fish=23500
Answer:
23,500
Step-by-step explanation:
45 hundred = 45 × 100 = 4,500
2.8 × 10^4 = 28,000
28,000 - 4,500 = 23,500
If two sides of a triangle measure 12 and 7, which cannot be the perimeter of the triangle
Answers
We can utilize the Triangle Inequality Theorem, Which states
A + B > C
A + C > B
B + C > A
With that said, we are going look for C.
We know that
12 + 7 > C
So
19 > C
OR
C < 19
So our 3rd leg has to be less than 19.
So if we make C =18.999 and Sum up all the sides, 12 + 7 + 18.999 = 37.999
this means the max perimeter is 37.999.. so we know D: 38 cannot be the perimeter.
38 cannot be the perimeter of the triangle.
What is Triangle Inequality Theorem?The sum of any two sides of a triangle is greater than or equal to the third side.
Given:
Two sides are 12 and 7.
Using Triangle Inequality Theorem, we have
In ΔABC,
AB + BC > CAAC + CB > BAAB + CA > BCSo,
12 + 7 > C
19 > C
C < 19
So, the third side should be less than 19.
Let us take maximum possible values,
C =18.999
Then, perimeter will be,
12 + 7 + 18.999 = 37.999
Hence, 38 cannot be the perimeter.
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(5 - 3i)(6 + 2i)
Multiply and simplify.
A) 24 - 8i
B) 24 + 8i
C) 30 - 2i
D) 36 - 8i
Answers
Answer:
The correct answer is D
Step-by-step explanation:
36 - 8i is correct. Using FOIL we get 30 - 8i - 6i2, but since i2 = -1, we get 30 - 8i - 6(-1), which is 30 - 8i + 6 = 36 - 8i.
A circle has a diameter with endpoints at –3 + 18i and 7 – 6i. Which point is also on the circle?
Answers
Answer:
D. 14+11i
Step-by-step explanation:
Edge
Barbara went ice skating. It cost $5.85 to rent the skates, $2.50 for nachos, and it cost $1.95 per hour to skate. If she skates for 2 1/2 hours, how much does she spend?
Answers
Barbara spends $13.23. Hope I helped.
Find the critical value z subscript alpha divided by 2zα/2 that corresponds to the given confidence level
Answers
Step 1:
Subtract 0.97 from 1:
1 - 0.97 = 0.03
Step 2:
Divide 0.03 by 2:
0.03 / 2 = 0.015
Step 3:
Subtract 0.03 from 1:
1 - 0.015 = 0.985
Step 4:
From the normal distribution table, the z score that corresponds to a probability of 0.985 is 2.17.
Therefore, the critical value that corresponds to 97% confidence level is 2.17.
The critical value zα/2 that corresponds to a given confidence level can be found by subtracting the confidence level from 1, dividing by 2, and looking up this value in the Z-table. For a 90% confidence level, the corresponding zα/2 is approximately 1.645.
Explanation:To find the associated critical value zα/2 for a given confidence level, you would first subtract the confidence level from 1, then divide by 2. This will give you α/2. You would then look up this value in the Z-table to find the corresponding critical value of z. Now, let's consider an example.
Assume a confidence level of 90%. We subtract this from 1, which gives us 0.10, and then dividing by 2 gives us 0.05. Now we look up 0.05 in the Z-table, and find that the corresponding value of z is approximately 1.645. Therefore, the critical value zα/2 that corresponds to a 90% confidence level is approximately 1.645.
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What is the name of the relationship between ∠1 and ∠4 ? alternate exterior angles corresponding angles adjacent angles alternate interior angles Assessment menu bar
Answers
Answer:
coresponding angles buddy
Step-by-step explanation:
If Leslie has a total monthly budget of $4000 and spends $500 on a car payment, What percentage of her monthly budget is dedicated to the car payment?
Answers
Answer:
12.5%
Step-by-step explanation:
We have been given that Leslie has a total monthly budget of $4000 and spends $500 on a car payment.
To find the percentage of her monthly budget is dedicated to the car payment, we will find 500 is what percent of 4000.
[tex]\text{Leslie's monthly budget dedicated to car payment}=\frac{500}{4000}\times 100\%[/tex]
[tex]\text{Leslie's monthly budget dedicated to car payment}=\frac{50}{4}\%[/tex]
[tex]\text{Leslie's monthly budget dedicated to car payment}=12.5\%[/tex]
Therefore, 12.5% of Leslie's monthly budget is dedicated to the car payment.
A graphics company charges $50 per hour to create a logo plus $250 for the ownership rights of the logo. A private contractor charges $75 per hour to develop a logo plus a $100 supply fee. Which equation can be solved to determine x, the number of hours after which the costs would be the same?
Answers
A. 50x + 250 = 75x + 100 is the correct answer
Answer:
A. 50x + 250 = 75x + 100
Step-by-step explanation:
edge 2022
Write an equation of a line that includes the point (22,12) and has a slope of 4 in standard form
Answers
Point slope form: y-y1=m(x-x1)
You have to put your given values into the equation.
y-12=4(x-22)
Because it wants the equation in standard form, you leave the equation as is.
I hope I was able to help. Best of luck!
The equation of the line that passes through the point (22,12) and has a slope of 4 is; y = 4x - 76
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Which is the required equation of a line in a point-slope form.
Where x₁ - x coordinate and y₁ - y coordinate
Point (22,12)
Then Slope m =4
Now Write the equation as
y - 12 = 4(x - 22)
y = 4x - 76
Hence, the standard form of the line is; y = 4x - 76
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