E and F are complementary. If m E = 9x - 38 and mF = 2x + 40, find m F pls I need help

Answers

Answer 1

Answer:

m[tex]\angle[/tex]F = 34°

Step-by-step explanation:

If E and F are complementary I means that the sum of their angles add up to 90° since all complementary angles have the sum of their angles equal to 90°

To find m[tex]\angle[/tex]F add m[tex]\angle[/tex]E and m[tex]\angle[/tex] F and equate it to 90 to find x then substitute it into the expression for m[tex]\angle[/tex]F

Thats

m[tex]\angle[/tex]E + m[tex]\angle[/tex]F = 90

[tex]\rarr[/tex] 9x - 38 + 2x + 40 = 90

[tex]\rarr[/tex] 11x + 2 = 90

[tex]\rarr[/tex] 11x = 90 - 2

[tex]\rarr[/tex] 11x = 88

Divide both sides by 11

x = 8

Now we have

if m [tex]\angle[/tex]F = 9x - 38

m[tex]\angle[/tex] F = 9( 8) - 38

m[tex]\angle[/tex]F = 72 - 38

We have the final answer as

m[tex]\angle[/tex]F = 34°

Hope this helps you

Related Questions

If it takes a company 4 hours to build 1,300 cell phones, at the same rate it will
take the company n hours to build 39,000 cell phones.

Answers

39,000/1,300 = 30. 30 x 4 = 120 Hours

HELP ME
A 6-foot tall man has a 9-foot shadow. At the same time, a tree he is standing next to has a 30-foot shadow.
A. 20 ft
B. 27 ft
C. 45 ft
D. 21 ft
E. 24 ft

Answers

Answer:

A.20 ft

Step-by-step explanation:

the shadow is double the height of the object.

Makayla was given a box of assorted chocolates for her birthday. Each night, Makayla treated herself to some chocolates. There were originally 12 chocolates in the box and after 2 nights, there were 8 chocolates remaining in the box. Write an equation for C,C, in terms of t,t, representing the number of chocolates remaining in the box tt days after Makayla's birthday.

Answers

Answer: c = 12 - 2t

Step-by-step explanation:

Which equation represents the data: m = -3, b = 5

Answers

The answer is Y= -3x +5

Find the parabola through
(
−
7
,
−
39
)
(
-
7
,
-
39
)
with vertex
(
−
4
,
−
12
)

Answers

Answer:

y = - 3x² - 24x - 60

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 4, - 12 ), thus

y = a(x + 4)² - 12

To calculate a substitute (- 7, - 39) into the equation

- 39 = a(- 7 + 4)² - 12 ( add 12 to both sides )

- 27 = 9a ( divide both sides by 9 )

- 3 = a

y = - 3(x + 4)² - 12 ← in vertex form

Expand (x + 4)²

y = - 3(x² + 8x + 16) - 12

= - 3x² - 24x - 48 - 12

y = - 3x² - 24x - 60 ← in standard form

= - 3(x²

Ming made a triangular picture frame out of cardboard. The sides of the frame are 6.75 in., 6.75 in., and 8.375 in. Ming uses the addition below to determine the amount of string she needs to decorate the edges of the frame.

675 + 675 + 8.375 = 9.725. The 675 values are lined up with the 375 portion of 8.375.

Which explains Ming’s error?

Answers

Answer:

She should have included the decimal in 6.75 and aligned the decimal points to add 6.750 + 6.750 + 8.375 = 21.875.

Step-by-step explanation:

6.750

+ 8.375

21.875

I hope this helps

Answer:

The answer is A

Step-by-step explanation:

I took the test

13. A new CD costs $13.79, plus $0.97 in sales tax. How much do 3 new CDs cost? Explain how

you found your answer.

Answers

Answer:

the cost of the three new CDs is $44.28

Step-by-step explanation:

Here in this question, we are interested in calculating the cost of 3 new CDs cost.

From the question, we already know the cost of one. The cost of three would be 3 multiplied by the cost of one.

The cost of the three excluding the sales tax = $13.79 * 3 = $41.37

The sales tax for the three pieces = 3 * $0.97 = $2.91

The cost of the three CDs including the sales tax = $41.37 + $2.91 = $44.28

In which Quadrant is the point (4, -2) located?
Quadrant 3
Quadrant 1
Quadrant 4
0 Quadrant 2

Answers

Answer:

Quadrant 4

Step-by-step explanation:

We go to the x-axis first and put a point on number 4, second we move that point along the y-axis till number -2

which is located in the 4th quadrant

Answer: Quadrant 4

Step-by-step explanation: Since the rule for Quadrant 4 is (+, -) it will be located there because 4 is a positive number and -2 is a negative number.

Identify the graph of the inequality 2(2x – 1) + 7 < 13 or –2x + 5 < –10.

Answers

Answer:

–2x + 5 < –10.

Decimal Form: 7.5

15/2

Answer:

the answer is C on edge

Simplify the expression 4+ (-2)
0-12
O 12
0-2
Please help ASAP

Answers

Answer:

4 + (-2) = 2

Step-by-step explanation:

[tex]4+(-2)=\\\\4-2=\\\\2[/tex]

None of the given options are correct.

Hope this helps.

Serena estimates that she can paint 60 square feet of wall space every half-hour. Write an equation for the relationship with time in hours as the independent variable x and the square footage she can paint as the dependent variable y. Can she paint 400 square feet in 3.5 hrs

Answers

Answer:

So, the relationship with i hours as the indecent variables would be

Serena can't paint 400 square feet of wall space of wall space in 3.5 hours.

Step-by-step explanation:

Since we have given that

Area that she can paint = 60 square feet

Time taken = half hour = 30 minutes = 0.5 hours

Using "Unitary method, we get that

In 0.5 hours, she can paint = 60 square feet

In 1 hour, she can paint =

In i hours, she can paint =

Let the total area she can paint be 'y'.

So, the relationship with i hours as the indecent variables would be

Now, Can Serena paint 400 square feet of wall space i. 3.5 hours

We put y = 400 and i = 3.5 hours to check whether it is equal or not.

Hence, Serena can't paint 400 square feet of wall space of wall space in 3.5 hours.

Answer:

0.5

Step-by-step explanation:

what is 91,007,500 in scientific notation?

Answers

Answer:

Step-by-step explanation:

the scientific notation of 91,007,500

9.10075 x 10^7

What is the midpoint of points (3.9) and (1.-7)?

Answers

Answer:

Answer is (2,1)

Step-by-step explanation:

The Midpoint formula is simply (x2+x1)/2, (y2+y1/2)

Just gotta plug in the points!

Hope this helps!

how does a dilation change a figure

Answers

It can make the shape bigger or smaller

500g:3kg.Give answer in lowest term

Answers

Answer:

Step-by-step explanation:

First, you have to convert the units, since kilograms and grams aren't the same unit. 1000 grams=1 kilogram. Keep that in mind, and lets move on.

So, that means 3 kilograms=3,000 grams. Let's rewrite our ratio.

500g:3,000g

Answers

Answer:

im pretty sure its kilometers

5 miles should be the answer

Can someone plz help with both of these

Answers

Answer:

Domain: (-5<x<-2) (1<x≤3]

Range: (-3<x<4) [-1≤x<2)

Step-by-step explanation:

(Explained another post by same asker)

The distance from A to B, then from B to C, is the same distance as from A to C.

Thus,

AB + BC = AC

AB = 8x + 8

BC = 4x + 2

AC = 22

AB + BC = AC

(8x + 8) + (4x + 2) = 22

Expanding the parenthesis:

8x + 8 + 4x + 2 = 22

8x + 4x + 8 + 2 = 22

12x + 12 = 22

Subtracting 12 from both sides:

12x = 10

Dividing both sides by 12:

x = 10/12 = 1.2

x = 1.2

We're looking for BC. As we know,

BC = 4x + 2

Let's now put in x = 1.2 into this equation:

BC = 4x + 2

BC = 4 * 1.2 + 2

Since 4 * 1.2 is 4.8:

BC = 4.8 + 2

BC = 6.8

Answer: BC = 6.8

f(x) = 3(x-4)2-2
Pls help me solve

Answers

Answer:

x = 13/3

Step-by-step explanation:

Solve for x:

3×2 (x - 4) - 2 = 0

Hint: | Multiply 3 and 2 together.

3×2 = 6:

6 (x - 4) - 2 = 0

Hint: | Distribute 6 over x - 4.

6 (x - 4) = 6 x - 24:

6 x - 24 - 2 = 0

Hint: | Group like terms in 6 x - 24 - 2.

Grouping like terms, 6 x - 24 - 2 = 6 x + (-24 - 2):

6 x + (-24 - 2) = 0

Hint: | Evaluate -24 - 2.

-24 - 2 = -26:

6 x + -26 = 0

Hint: | Isolate terms with x to the left hand side.

Add 26 to both sides:

6 x + (26 - 26) = 26

Hint: | Look for the difference of two identical terms.

26 - 26 = 0:

6 x = 26

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 6 x = 26 by 6:

(6 x)/6 = 26/6

Hint: | Any nonzero number divided by itself is one.

6/6 = 1:

x = 26/6

Hint: | Reduce 26/6 to lowest terms. Start by finding the GCD of 26 and 6.

The gcd of 26 and 6 is 2, so 26/6 = (2×13)/(2×3) = 2/2×13/3 = 13/3:

Answer:x = 13/3

Solve the equation 5x+3÷4=7. Explain and justify each step in your solution process.

Answers

5x+3÷4=7
5x+.75=7
-.75 -.75
5x = 6.25
divide by 5 on both sides
x= 1.25

please mark brainliest

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