angle A and angle B are complementary angles. If m angle A = (6x – 8)° and m
angle B = (5x + 21)°, then find the measure of angle B.

Answers

Answer 1

Answer: B = 56 degrees

Step-by-step explanation: Complementary angles add up 90 degrees. So we will set both of the equations equal to 90 degrees and then solve from there.

6x+8+5x+21=90

1. Simplify 5x + 6x and 21 - 8

11x+13=90

 

2. Subtract 13 from both sides.

11x=90-13

 

3. Simplify 90-13 to 77.

11x=77  

4. Divide both sides by 11.

x = 77/11

​    

5. Simplify 77/11 to 7

 x=7

Now we have to take the value of x and substitute it back into B = (5x+21)

1. Substitute

B = (5(7)+21)

B = 35 +21

B = 56

HOPE THIS HELPS :)


Related Questions

In the diagram ABC is congruent to DEF. aging the values of x and y

Answers

Answer:

x = 1, y = 46

Step-by-step explanation:

Since the triangles are congruent then corresponding sides and angles are congruent, then

DE = AB , that is

3x + 6 = 9 ( subtract 6 from both sides )

3x = 3 ( divide both sides by 3 )

x = 1

and

∠ C = ∠ F

10x + y = 56 ( substitute x = 1 )

10(1) + y = 56

10 + y = 56 ( subtract 10 from both sides )

y = 46

Somebody help pls I need help with this

Answers

Answer:

Step-by-step explanation:140

70 Miles

Explanation:
If 1 inch equals 7 miles than simply multiply 7 x 10 and that equals 70.
Hope this helps!

Evaluate the expression: 5 + 3 × (5 - 2)²

Answers

Answer: 32

Step-by-step explanation:

5+3*(5-2)^2

5+3*(3)^2

5+3*9

5+27

32

Answer:

32

Step-by-step explanation:

5 + 3 * (5 - 2)^2

5 + 3 * 3^2

5 + 3 * 9

5 + 2

= 32

Find the domain and range of y = 8x + 7.5.

plz help​

Answers

Answer:

domain                     range

0                                7.5

1                                  15.5

2                                 13.5

Answer: Domain: (-∞, ∞), Range: (-∞, ∞)

Hope this helped! :)

At middle school lunch in the cafeteria, 60% of the students pack a lunch and 40% buy a lunch. Of the students who pack a lunch, 70% have a cookie. What is the percent of the students who have a cookie at lunch?

Answers

Answer:

42%

Step-by-step explanation:

The computation of the percentage is shown below:

Here we assume that there are 100 students

So according to the question

60% of the students would pack the lunch i.e. 60 students

And, 40% of the students buy a lunch i.e. 40 students

Now the students who pack the lunch they have 70% of cookie

So, 70% of 60 students = 42 students

Now the percentage is

= 42 students ÷ 100 students

= 42%

The area of a square floor on a scale drawing is 49 square centimeters, and the scale drawing is 1 centimeter:3 ft. What is the area of the actual floor? What is the ratio of the area in the drawing to the actual area?

Answers

Answer:

the area of the actual floor is  784 ft² and the ratio is (1 cm²) ÷ (16 ft²). The same would be relevant

Step-by-step explanation:

The computation of the area and the ratio of the area is shown below:

The ratio of the drawing area to the actual area is  

= ((1 cm) ÷ (4 ft))²

= (1 cm²) ÷ (16 ft²)

 Now the actual floor area is  

(16 ft²) ÷ (1 cm²) = actual area ÷ (49 cm²)

= (16 ft²) × 49 ÷ 1

= 784 ft²

hence, the area of the actual floor is  784 ft² and the ratio is (1 cm²) ÷ (16 ft²). The same would be relevant

can someone please help me :,) ​

Answers

Answer:

The answer is 40

Step-by-step explanation:

8+3+5+4=20

Once you added all the nunbers mutilpy by 2

20x2=40

that's how you get 40 as your answer

hope that helps ❤

What is the equation of the line shown in the graph?

Answers

Answer:

-6

Step-by-step explanation:

I'm not really sure whether or not your question is asking for the slope intercept form or just the slope.

Your answer would be: y = -6x + 7   [if your question is asking for the slope intercept form]

OR

Your answer would be: -6   [if your question is asking for just the slope]

what is 3 13/20 as a decimal

Answers

Answer:

3.65

Step-by-step explanation:

What is the scale factor of the dilation?

Answers

Answer:

Step-by-step explanation:

2/5

NO LINKS PLEASE!

54 is equal to 75% of a number n. Write and solve an equation to find n. Write the percent as a decimal.

Answers

Answer:

Set this up as a proportion.

54/n = 75/100

Now solve for n and finish from here.

Can i also have brain or a heart :)

Answer:

x would equal 72

Step-by-step explanation:

you can find a percent but there is already a percent showing. So the answer should be 72.

When you're trying to find the answer to these problems you should check if there is a percent part and whole. In this question, there is already a percent and a part so you would just try to find the whole.

PLS HELP!!!!!
which polynomial is a perfect square trinomial?

A. 49x^2 - 28x + 16
B. 4a^2 - 20a + 25
C. 25b^2 - 20b - 16
D. 16x^2 - 24x - 9

Answers

Answer:

B

Step-by-step explanation:

We have to find which trinomial has:

1) two terms that are the perfect square of two numbers

2) a terms that is the double product of the two numbers

the first condition is satisfied by A and B, but only B satisfied the second., in fact the trinomial can be rewrite as: (2a-5)^2

Options C and D are traps because the square of a number can’t be negative

If the area of a rectangle can be represented by x^2 -5x-14. What two expressions can represent the dimensions of the rectangle?

Answers

Answer:

x-7

x + 2

Step-by-step explanation:

the equation is a quadratic equation

we need to find factors of -14x² that would add up to -5x

these factors are -7x + 2x

(x² + 2x) - (7x - 14)

factorise the expressions in the bracket

x(x + 2) -7(x + 2)

(x-7 )

or x + 2

name another pair of lines that appear to be perpendicular

Answers

Answer:

parallel lines

Step-by-step explanation:

im pretty sure this is it hope this helps

Adele correctly calculates the measure of angle w shown in the figure

Answers

Answer: the answer is 40

Step-by-step explanation:

first of all look at the lins and you can see that the lines are the same  

What happens when the ordered pair (x,y) moves to the right?

Answers

Question is unclear

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer:

Graph:

x   y

2  3

4   6

8  12

16 24

32 48

Step-by-step explanation:

Corrdinates for Linear: (5,2)

Hope this helps have a nice day :)

(I tried my best ;-;)

Haley borrows 1000 dollars from her bank.She will pay the loan at a simple annual interest rate of 4% over 4 years.How much will she pay back altogether

Answers

Answer:

1160

Step-by-step explanation:

1000×4/100% ×4=160

add the1000+160 since they have asked altogether=1160/=

Shelley had 53¢ until she spent 1 quarter. How much money does Shelley have now?

Answers

Answer:

28¢

Step-by-step explanation:

A quarter is 25¢, so 53¢ - 25¢ = 28¢.

Alicia will construct a rectangle that has a height of 4 units and an area of up to 48 square units. Which inequality represents all the possible lengths in units of the bases, b, that Alicia can use to construct this rectangle?

Answers

Answer:

b ≤ 12

Step-by-step explanation:

The area of the rectangle is given by length multiplied by breadth.

The area of the rectangle up to 48 units square means that it can be 48 or less than 48.

If the height given is taken as the width of the rectangle then we can find the base which will be the length of the rectangle.

Area = length * breadth

4units * base ≤ 48 units square

base ≤ 48 units square/4 units

base ≤ 12 units

b ≤ 12 units

can someone please help me with this question? (no links!!!)

Answers

V = 4/3 × 3 × 5^3

V = 4 × 125

V = 500 cm^3

Mark can make 42 birthday cakes in 7 days. How many cakes can he make in 5 days?

Answers

I’m pretty sure the answer is 30!

Answer:

30

Step-by-step explanation:

if he can make 42 cakes = 7days

therefore x cakes. =5days

you do cross multiplication

i.e. 42x5/7 =30 days

Val walked dogs to save money for some books she wanted to buy. To determine how much money she will make, she used the function rule y = 6x. Find f(x) = 7.

Answers

Answer:

y=6x

y=6(7)

y=6 times 7

y=42

Answer:

42

Step-by-step explanation:

if Y=6, and fx=7, then multiply 6 and 7

help and make sure 100 %

Answers

Answer:

1. 63

2.

3. 117

4.

Step-by-step explanation:

gimme some time to do 2 and 4

PLZ ANSWER QUICK WHAT IS THE RANGE OF THESE NUMBERS! WILL GIVE BRAINIEST

(give a correct number of the range of the numbers)

Answers

Answer:

170

Step-by-step explanation:

One marble is picked at random and NOT replaced from a box that has 3 red marbles, 4 green marbles 2 blue marbles and one yellow marble. Find the probability of selecting a red and a red marble.

Answers

Answer:

3/9

Step-by-step explanation:

because there are total 9 marbles. 3 red, 4 green and 2 blue.so the probability is 3/9.

92,63,22,80,63,71,44,35 what is the mean?

Answers

Answer:

58.75

Step-by-step explanation:

You add all the numbers and get 470 then divide it by the amount of numbers there which is 8 so 470 divided by 8 is 58.75

Help me question 3 plzzz

Answers

Answer:

it should be the top answer

Step-by-step explanation:

it's asking for a fraction with 3 as a denominator that is greater than one. if you need a better explanation feel free to ask in a comment!

Answer:

2+x

--------- >1

3

Step-by-step explanation:

......ur welcome.......

Anyone know how to answer this question

Answers

Answer:

x²+y²=225

Step-by-step explanation:

when centered at the origin the equation of a circle is x²+y²=r²

we are given x and y so 9²+12²=r²

[tex]r^{2} =9^{2} +12^{2}\\ =81+144\\ =225[/tex]

PLEASEEEEE HELPPP MEE THIS IS LITERALLY MY 10TH TIME POSTING AND IM LOSING POINTS PLSS HELP MEEE I WOULD HAVE A MENTAL BREAKDOWN PLS

Answers

Answer:

8

Step-by-step explanation:

it's 8 because parallel lines have equal slopes

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