Consider the image of triangle ABC for the translation (x, y) to (x+4,y-2) what is the ordered pair of C?

The ordered pair for point C is option C. (3, 2).

Step-by-step explanation:

Step 1:

For this translation, (x, y) becomes (x + 4, y - 2).

This means the values of x are added with 4 and the y values are subtracted by 2.

The points of the triangle ABC are A (2, 4), B (2, 1), and C (3, -2).

Step 2:

Now we determine the ordered pairs after translation.

For A (2, 4). So A becomes (6, 2).

For B (2, 1). So B becomes (6, -1).

For C (-1, 0). So C becomes (3, -2).

So the ordered pair of C is (3, -2) which is option C.

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°

ur mom

step-by-step explanation: