Evaluate the expression for the given value of the variable 1. 8q + 6; q = 2 2. 9 + 4g; g = -3 3. 7x - 7 ; x = 4 4. 10 - 3.2n; n = 2 5. 12p + 4; p = 1.5 6. 5w + 10 = 40 7. 4y - 12 = 60 8. 10k + 5 = 65 9. 2b - 15 = 33 10. 3d + 18 = 21 with all the answers?

Evaluate the expression for the given value of the variable

1. 8q + 6; q = 2

Plug in 2 for q in the given expression

8(2) + 6= 22

2. 9 + 4g; g = -3

9 + 4(-3) = 9 - 12 = -3

3. 7x - 7 ; x = 4

7(4) - 7 = 28 -7 = 21

4. 10 - 3.2n; n = 2

10 - 3.2(2) = 10 - 6.4 = 3.6

5. 12p + 4; p = 1.5

12(1.5) + 4= 18  + 4 = 22

6. 5w + 10 = 40

Subtract both sides by 10

5w = 30, now divide both sides by 5

w = 6

7. 4y - 12 = 60

Add both sides by 12

4y = 72

Now divide both sides by 4

y = 18

8. 10k + 5 = 65

Subtract both sides by 5

10k = 60, now divide both sides by 10

k = 6

9. 2b - 15 = 33

Add both sides by 15

2b = 48

Now divide both sides by 2

b = 24

10. 3d + 18 = 21

Subtract both sides by 18

3d = 3, now divide both sides by 3

d= 1

d) -1

step-by-step explanation:

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°