12 points!

the coordinates of point a on a grid are (−2, −4). point a is reflected across the y-axis to obtain point b. the coordinates of point b are −4).

*numerical answers expected! *

answer for blank 1:

(2,-4)

Step-by-step explanation:

When a point (x,y) is reflected across the y-axis, you need to change the sign of x. For example, if (-x,y) you need to take away the negative sign, which makes (x,y). Or, if the point is (x,y), you need to add a negative sign to the x, which makes (-x,y). So, if your point (-2, -4) is reflected across the y-axis, you need to take the negative sign off the -2, which makes (2,-4).

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°

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x