∠A is complementary to ∠B. The measure of ∠A is (8x+12)∘. The measure of ∠B is half the measure of ∠A.

Write an equation that can be used to determine the value of x. Then solve for x.

Answers

Answer 1
8x+12/2 is the answer
Answer 2

The equation that can be used to solve for x is 8x + 12 + 4x + 6 = 90.

The value of x is 6.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

∠A and ∠B are complementary.

This means,

∠A + ∠B = 90

Now,

∠A = 8x + 12

∠B = (8x + 12)/2 = 4x + 6

Now,

8x + 12 + 4x + 6 = 90

12x + 18 = 90

12x = 90 - 18

12x = 72

x = 72/12

x = 6

Thus,

The value of x is 6.

Learn more about expressions here:

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Related Questions

EASY PLEASE HELP PLEASE HELP 15 POINTS...PLEASE HELP

Answers

Answer:

positive one

Step-by-step explanation:

look at the position on the y axis

Answer:

(0, - 4 )

Step-by-step explanation:

The y- intercept is the value of the y- coordinate where the line crosses the y- axis.

The line crosses the y- axis at y = - 4 ← y- intercept or

(0, - 4 ) in coordinate form

Frank marry and seth shared some sweets in the ratio 4:5:7 seth got 18 more sweets than frank work out the total number of sweets shared(pleez answer im in a crisis) ​

Answers

Answer: 96

seth got 18 more than frank

in terms of ratio he got 3 more than frank

this means that 3 is equal to 18

so we find the whole ratio to fing the total

Is this negative positive or no correlation

Answers

Step-by-step explanation:

No correlation

What is the sum (2/5x+5/8) (1/5x-1/4)?

A. 3/5x+2/8
B. 3/5x+3/8
C. 3/5x+5/8
D. 3/5x+7/8

WOULD REALLY LIKE THE ANSWER FAST,my last 5 questions no one answered ;(​

Answers

Answer:

glad the brainly people cold cach u up on work hope u come back

Answer:

i suck at math lol

Step-by-step explanation:

hey If I originally had an A/101% in class and then did an assignment and got a 72% on it, what should my grade be now?​

Answers

Answer:

well

Step-by-step explanation:

If it was a test grade it would be 60 or 70 percent but a daily grade would probaly be 20 or 30 percent hope this helps

Answer:

Step-by-step explanation:

You would have a Z on your grade obviously

the amount of sleep that elementary school children get per night follows a normal distribution with a mean of 9.5 hours and a standard deviation of 0.55 hours. is it unusual for an elementary student to get at least 12 hours of sleep?

Answers

Answer:

Yes, that is unusual as the problem is given.

Step-by-step explanation:

If the mean is 9.5 and the standard deviation is 0.55, then anything within the normal curve of 10.05 on the high end and 8.45 on the low end is normal. 12 is more than several standard deviations or an outlier if this makes sense.

So, it is unusual as the problem is stated, but if it's a weekend, 12 hours is normal. LOL

Good luck!  

Based on the normal distribution parameters given, the probability of a student getting atleast 12 hours of sleep ls 0. Hence, it is abnormal.

Given the Parameters :

Mean = 9.5 Standard deviation = 0.55

Using the Zscore formula, the probability of getting a atleast 12 hours of sleep can be expressed thus :

Zscore = (Score - Mean) / standard deviation

For X ≥ 12 :

Z = (12 - 9.5) / 0.55 = 4.545

The probability using a normal distribution table :

P(Z ≥ 4.54) = 1 - P(Z ≤ 4.54)

P(Z ≤ 4.54) = 1 ( normal distribution table)

P(Z ≥ 4.54) = 1 - 1 = 0

Since, the probability is 0 ; hence, it is unlikely and therefore, abnormal.

Learn more :https://brainly.com/question/8165716

I have a diameter of 45 in, what is the radius ?

Answers

Answer:

[tex]r = 22.5in[/tex]

Step-by-step explanation:

[tex]d = 2r \\ 45 = 2r \\ \frac{45}{2} = \frac{2r}{2} \\ r = 22.5in[/tex]

Answer:

if the diameter is 45 in the radius would be 22.5 in

Step-by-step explanation:

The radius is half of the diameter.

There are 40Student in a class. If the number of boys is 4less than the number of girls.find the number of boys.​

Answers

Answer:

18

Step-by-step explanation:

Let number of girls be 'x'.

So, Number of boys = Number of girls - 4

= x - 4

Total number of students in a class = 40

Number of girls + Number of boys = Total number of students in a class

[tex] \longrightarrow [/tex] x + x - 4 = 40

[tex] \longrightarrow [/tex] 2x - 4 = 40

[tex] \longrightarrow [/tex] 2x - 4 + 4 = 40 + 4

[tex] \longrightarrow [/tex] 2x = 44

[tex] \longrightarrow [/tex] [tex] \sf \dfrac{2x}{2} = \dfrac{44}{2} [/tex]

[tex] \longrightarrow [/tex] x = 22

[tex] \therefore [/tex] Number of boys = 22 - 4

= 18

Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.

Answers

9514 1404 393

Answer:

  x = 14°

  y = 5°

Step-by-step explanation:

Angle COL is complementary to both 25° (∠AOC) and 5y (∠LOM). Then it must be true that ...

  5y = 25°

  y = 5° . . . . . . divide by 5

__

Similarly, angle MOB is complementary to angle LOM, so ...

  90° -25° = 3x +23°

  42° = 3x . . . . . subtract 23° and simplify

  14° = x . . . . . .  divide by 3

The values of x and y are ...

x = 14°y = 5°

Find the measure of the third angle classify the triangle?

Answers

Answer:

obtuse and isosceles

Step-by-step explanation:

obtuse bc the third angle is 110 degrees if the two other angles are 35 degrees

if one angle is greater than 90 degrees than it is an obtuse triangle

it's isosceles bc isosceles triangles have two equal sides

Sam and Bethan share £54 in the ratio 5:4
Work out how much each person gets.

Answers

Step-by-step explanation:

54=5:4=5+4=9/9

Sam=5/9 of 54

Bethany=4/9 of 54

Sam=30

Bethany=24

m is the midpoint of segment AB. if M (-1,2) and A(-9,6) find the cooridinates of the other endpoints.

Answers

Answer:

B(7 , -2)

Step-by-step explanation:

A(-9 , 6)

Midpoint = (-1 , 2 )

[tex]Midpoint = (\frac{x_{1}+x_{2}}{2} , \frac{y_{1}+y_{2}}{2}) = (-1 , 2)\\[/tex]

                   [tex](\frac{-9+x_{2}}{2},\frac{6+y_{2}}{2}) = (-1 , 2)\\[/tex]

Compare the x co ordinates and y co ordinates,

[tex]\frac{-9+x_{2}}{2}= - 1[/tex]               &    [tex]\frac{6+y_{2}}{2}=2[/tex]

-9 + x₂ = -1*2            & 6 + y₂ = 2*2

-9 + x₂ = -2               & 6 + y₂ = 4

      x₂ = -2 +9          &       y₂  = 4 - 6

      x₂ = 7                 &       y₂   = -2

B(7 , -2)  

What number is in the exact middle of -3 and 1.5?

Answers

1 is in the middle!! hope this helps

Libby takes a test that has a total possible score of 500. Each question is worth the same number of points. If she misses 4% of the questions, what is her score?

Answers

Answer:

Step-by-step explanation:

We can use the markdown formula to solve this question because it is the same type of problem.

= R x P

1. = 500 x 0.04

= 20

2. 500 - 20

= 480

I'd like to imform you about responsible internet usage. Social sites like this shouldn't be used for asking people to be their girlfriend. They should especialy not be used for inappropriate reasons either. I've seen very offensive pictures on this website. Thank you for listening! Have a great day!

Key: R = Percentage Rate P = Original Price

This graph displays a linear function. What is the rate
of change?
2
Rate of change =
cy

Answers

Answer:

5

Step-by-step explanation:

Got 100% on it

Answer:

its 5

Step-by-step explanation:

I need help pls !!!!!

Answers

Answer:

a=5

Step-by-step explanation:

right angel=90%

90-52=28

28-3=25

5(5)=25

hope this helps

Answer:

a=7

Step-by-step explanation:

90=52+5a+3

90=55+5a

35=5a

/5

a=7

A garden table and a bench cost 600 combined. The cost of the garden table is three times the cost of the bench. What is the cost of the bench?

Answers

Answer: $150
t + b = 600
t = 3b
4b = 600
b = 150

quickly plz 9th grade math ​

Answers

Im pretty sure its -8.7

Answer:

The answer is -8.7

Step-by-step explanation:

-5(-2.1) + 4(-4.8)

10.5 + 4(-4.8)

10.5 + (-19.2) =  -8.7

What is the value of x?
What is the value of y?​

Answers

answer:

y=4

Step-by-step explanation:

given

DG=GF

10y-4=7y+8

3y-4=8 (subtract both side by 7y)

3y=12 (add both side by 4)

y=12/3

y=4 (ans)

3(2m-3)=5(m+1) What is the value of m

Answers

6m - 9 = 5m + 5
6 x 14 - 9 = 75
5 x 14 + 5 = 75
m = 14

Answer:

14!

Step-by-step explanation:

3(2m-3)=5(m+1)

Step 1: 6m-9 = 5m + 5

Step 2 : Add 9 to -9 and 5

6m= 5m+14

Step 3: Subtract 5m from 6 and 14

Simplify!

m=14

if 3 apps cost 12$ how how much would 5 cost

Answers

Answer:

$20

Step-by-step explanation:

12 / 3 = 4

$4 per app

4 x 5 = 20

Is this function linear or nonlinear?​

Answers

Answer:yes

Step-by-step explanation:0 and 0 means that those numbers dont move that distance apart 1 that 1 X 1 it seems so it would equal 1 2 and 4 2 x 2 = 4 and 3 X 3 equals 9

-7x+21y=63 what are the x and y intercepts

Answers

Answer:

x intercept: (-9,0)

Y intercept: (0,3)

Enter the sum of the numbers as the product of their gcf and other sum 27+72 what is the answer ?

Answers

Answer:

89

Step-by-step explanation: for the adtion it is 89     for the gcf is 3

Which of the expressions below are polynomials?
A) 9
B) b + 6c
C) 36xx – 2x9 + 8x7
D) –5x4 + 7x3 – 2x2 + 1/2

Answers

Answer:

A) 9

B) b + 6c

D) –5x4 + 7x3 – 2x2 + 1/2

Step-by-step explanation:

Options A), B) & D) are polynomial.

A B & D are the correct answers.

how to find the points of a line that is perpendicular to a line you only know the slope of

Answers

Answer:

Write the new equation in slope-intercept form.  Replace the old slope with the new slope.  Replace the y-intercept's value with a variable (b).

Answer:

the perpendicular slope will be the opposite reciprocal of the original slope .

Step-by-step explanation:

example:  lets use the points (5,3) ( 10,7)

                 The slope is 5/4

so we need a line of    -4/5 (perpendicular) that passes through 5,3

Hope that helps

Lines l and k are parallel to each other. A=120 degrees. and C=80 degrees. What is the number of degrees in B??
100 points

Answers

Answer:

B = 160°

Step-by-step explanation:

This is how I solved it (I hope the explanation isn't too confusing):

Since L and K are parallel, I drew a straight line from A to B. By doing this, I'm making a triangle: ΔABC

Then I solved for the angles of the triangle. First, we are given that ∠C = 80° and ∠A = 120°. Although, when I drew the vertical line from A to B, it made a 90° (see attachment).

So what we basically did was break ∠A into two parts: an angle inside ΔABC and one outside. To find the interior angle, simply subtract 90° from 120° to get 30°.

There are 180° in a triangle, so add the two interior angles you know:

30° + 80° = 110°

Then subtract 110° from 180° to find the final interior angle which is:

180° - 110° = 70°.

To find the measure of angle B, you must add all of the parts together, so the 90° outside angle and the 70° interior angle:

90° + 70° = 160°

Which factors of -12 add to -1?
py link
4 and - 3
6 and -2
-4 and 3
-12 and 1
-6 and 2
12 and -1
uTube
Rewatch

Answers

Answer:

-4 and 3

Step-by-step explanation:

an object travels at 20 m/s for 20 seconds. how far has it traveled?

Answers

Answer:

400 meters

Step-by-step explanation:

So it goes 20 meters every second. So you would multiply that by 20 seconds to get 400 meters.

Ron is planning for the back-to-school rush at his store. Notebooks are sold in boxes of 42. Last year he estimated that he would sell 168 notebooks, but he sold 200 notebooks. How much was Ron’s error? –42 -32 32 168

Answers

Answer:

-32, i took the test.

Answer:

-32 is correct

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