Answer:
The measure of ∠GKH is 27°
Step-by-step explanation:
- In the isosceles triangle, the base angles are equal in measures
- The measure of an exterior angle at a vertex of a triangle equals the sum of the measures of two opposite interior angles
In Δ HJK
∵ HJ = JK
→ That means the triangle is isosceles
∴ Δ HJK is an isosceles triangle
∵ ∠JHK and ∠JKH are base angles
→ By using the first rule above
∴ m∠JHK = m∠JKH
∵ m∠HJK = 70°
∵ m∠JHK + m∠JKH + m∠HJK = 180° ⇒ interior angles of a triangle
∴ m∠JHK + m∠JKH + 70 =180
→ Subtract 70 from both sides
∴ m∠JHK + m∠JKH = 110
→ Divide their sum by 2 to find the measure of each one
∴ m∠JHK = m∠JKH = 110 ÷ 2 = 55°
∵ ∠JHK is an exterior angle of ΔGHK at vertex H
∵ ∠HGK and ∠GKH are the opposite interior angles to ∠JHK
→ By using the 2nd rule above
∴ m∠JHK = m∠HGK + m∠GKH
∵ m∠JHK = 55°
∵ m∠HGK = 28°
∴ 55 = 28 + m∠GKH
→ Subtract 28 from both sides
∴ 27° = m∠GKH
∴ The measure of ∠GKH is 27°
Answer:
A. You have $48 to spend on socks, but you need to save at least $8 to pay for the bus trip home. You plan to spend the rest on socks at $10 each (including tax).
Step-by-step explanation:
cause it's A
Hi there! The answer is 8y + 48.
First work out the parenthesis.
Rewrite the expression in order to collect the terms.
Next up, collect the terms.
Now we've found our answer.
Because it’s an isosceles triangle, m
Answer:
Step-by-step explanation:
The input value at which f(x) = g(x) can be found by setting the right sides of each of those equal to each other and solving for x.
1.8x - 10 = -4 and
1.8x = 6 so
x = 3 1/3
The bold equation is the answer to the first part, and the second part is that x = 3 1/3
