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Shkiper50 [21]
3 years ago
6

Two vertical angles have measures of (4x + 8) and (7x -22). What is the measure of the two angles?

Mathematics
1 answer:
boyakko [2]3 years ago
8 0

Answer:

48

Step-by-step explanation:

Vertical angles are congruent

7x - 22 = 4x + 8     {Add 22 to both sides}

         7x = 4x + 8 + 22

        7x = 4x + 30         { subtract 4x from both sides}

7x - 4x = 30

         3x = 30

           x = 30/3

x = 10

4x + 8 = 4*10 + 8

          = 40 + 8

          = 48

7x - 22 = 7*10 - 22

            = 70 - 22

            = 48

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Don't have to do all of them just tell me the ones you do.​
Alik [6]

See explanations below.

Step-by-step explanation:

12. If H(x) represent the percent of U.S households with internet use in x years after 1980 then;

a) H(23)=55 means the number of U.S households with internet use in 23 years after 1980 is 55

b)H(4)=k

so if in 23 years H, is 55, find in 1 year

In 1 year H= 55/23=k

c)H(27) ≥ 61 means in 27 years the number of U.S households with Internet use will be greater or equal to 61 households. If you check the results, in 27 years, H is 55/23 * 27 =64.5 ≅65 households which is at most 61 households.

d) H(17) + H(21)=H(29) means the sum of households with internet use  in 17 years and 21 years after 1980 equal the number of households with internet use in 29 years.Checking the results;

H(17) = 55/23 *17 =40.65

H(21)=55/23 *21=50.22

H(17)+H(21)=40.65+50.22=90.87≅91 households

H(29)=55/23 * 29 = 69.34≅69 which is False

13.

h(x)=-7x ; h(x)=63  ⇒replacing x in the second function with -7x

-7x=63

x=63/-7

x=-9

14.

t(x)=3x ; t(x)=23

3x=23

x=23/3 = 7.67

14.

m(x) =4x +15 ; m(x)=7

4x+15=7

4x=7-15 -----------collecting like terms

4x=-7

x=-7/4

15.

k(x)=6x-12 ; k(x) =18

6x-12=18

6x=18+12-------collecting like terms

6x=30

x=30/6

x=5

16. q(x) =1/2x -3 , q (x) =-4

1/2 x-3 =-4------------multiply each term by 2

x-6= -8 ----------------collect like terms

x= -8+6

x= -2

17.

j(x)= -4/5 x + 7 ; j(x)= -5

-4/5 x +7 = -5 ---------multiply each term by 5

-4x+35= -25

-4x=-25-35

-4x=-60

4x=60

x=60/4

x= 15

Learn More

Functions ; brainly.com/question/2316114

Keywords : Functions

#Learnwithbrainly

3 0
2 years ago
The perimeter of a square is 72cm what is the area of the square​
Radda [10]

Answer:

the area is 324 cm²

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Yolanda's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Yolanda $5.20 per pound, and t
MAXImum [283]

Answer:

78 pounds

Step-by-step explanation:

Let's say Yolanda makes a pounds of Type A coffee and b pounds of Type B coffee. Since the total number of pounds is 130, we can write the equation:

a + b = 130

We know the cost of Type A coffee is $5.20/lb and the cost of Type B coffee is $4.05/lb, so since the total cost is $586.30, we can write:

5.20a + 4.05b = 586.30

We can now solve the system of equations:

a + b = 130

5.20a + 4.05b = 586.30

Manipulate the first equation by subtracting b from both sides:

a + b = 130

a = 130 - b

Substitute 130 - b for a in the second equation:

5.20a + 4.05b = 586.30

5.20 * (130 - b) + 4.05b = 586.30

676 - 5.20b + 4.05b = 586.30

Move the terms with b to one side:

1.15b = 89.70

b = 78

Thus, Yolanda used 78 pounds of Type B coffee.

<em>~ an aesthetics lover</em>

7 0
3 years ago
PLZ PLZ HALP!!
bogdanovich [222]

Answer:

(A) - (5)

(B) - (4)

(C) - (1)

(D) - (2)

Step-by-step explanation:

(A) We are given the polynomial (x+4)(x−4)[x−(2−i)][x−(2+i)]

(5) The related polynomial equation has a total of four roots; two roots are complex and two roots are real.

(B) We are given the polynomial (x+i)(x−i)(x−2)³(x−4).

(4) The related polynomial equation has a total of six roots; two roots are complex and one of the remaining real roots has a multiplicity of 3.

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(1) The related polynomial equation has a total of four roots; all four roots are real and one root has a multiplicity of 2.

(D) We are given the polynomial (x+2)²(x+1)²

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8 0
3 years ago
1+1+1+1 what is the correct answer ​
Semenov [28]

1+1+1+1

First, let's do 1+1

1+1=2

and the other 1+1 also equals 2

2+2=4

so the final answer is 4

5 0
2 years ago
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