Question 3 of 40
5 Points
Simplify the following expression:
V-36 + v-100 +7
O
A. 23+0;
O B. 7 +16
O C. 16-7;
O D. 7 + 136

2 v - 129

Step-by-step explanation:

Simplify the following:

v - 36 + v - 100 + 7

Grouping like terms, v - 36 + v - 100 + 7 = (v + v) + (-36 - 100 + 7):

(v + v) + (-36 - 100 + 7)

v + v = 2 v:

2 v + (-36 - 100 + 7)

-36 - 100 + 7 = 7 - (36 + 100):

2 v + 7 - (36 + 100)

| 1 | 0 | 0

+ | | 3 | 6

| 1 | 3 | 6:

2 v + (7 - 136)

7 - 136 = -(136 - 7):

2 v + -(136 - 7)

| | 2 | 16

| 1 | 3 | 6

- | | | 7

| 1 | 2 | 9:

2 v - 129

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°

answer:   rotate 270° clockwise about (7, 1) and reflect across the line x = 7

step-by-step explanation:

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