If the measure of arc GH= 90° and the measure of arc EF= 45°, calculate m∠GDH.

Mathematics

1 answer:

user100 [1]3 years ago

6 0

Answer:

∠ GDH = 67.5°

Step-by-step explanation:

The measure of the chord- chord angle GDH is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

∠ GDH = $\frac{1}{2}$ (GH + EF) = $\frac{1}{2}$ (90 + 45)° = 0.5 × 135° = 67.5°

You might be interested in

Jack spent $40 on new shoes then he spent half of what he had left on clothes finally he gave five dollars to his brother now he

aleksandrvk [35]

This is a working backwards problem. You know he has $35 at the end. Before he gave his brother $5, he would have $40, which is half of what he had before he bought the clothes, so he would have had $80. Before he spent the $40 on shoes, he would have had $120, so the answer is $120.

4 0

3 years ago

Sally was walking to Ocean Front Housing Complex, In miles, how far is her distance?

Vanyuwa [196]

Answer:

Sally is 10 miles

The coordinate ofthe deli is (1, -1)

Step-by-step explanation:

✍️Coordinate of Sally = (-3, 2)

Coordinate of Ocean Front = (5, -4)

The distance of Sally to Ocean Front Housing Complex = the distance between point (-3, 2) and (5, -4).

Use the distance formula, $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ , to calculate the distance between (-3, 2) and (5, -4):