Answer:
x=26
Step-by-step explanation:
We can use the Pythagorean theorem for this answer.
Pythagorean Theorem: a^2 +b^2 = c^2
We can see that both triangles are right triangles. We should first find the hypotonus of the bottom triangle.
So, we plug in the values.
6^2 +8^2 = c^2
36 +64 = c^2
c^2= 100
c= square root of 100
c=10
The hypotonus for the bottom triangle is equivalent to the base of the top triangle. Therefore, we can use the Pythagorean Theorem again.
10^2 +24^2= c^2
100+576+c^2
c^2 = 676
c= square root of 676
c= 26
The answer to the problem is 26.
Answer:
∠XMZ = 74°
Step-by-step explanation:
Since the arcs XZ and BC are congruent, then
∠BNC = ∠XMZ ← substitute values
6x - 88 = 3x - 7 ( subtract 3x from both sides )
3x - 88 = - 7 ( add 88 to both sides )
3x = 81 ( divide both sides by 3 )
x = 27
Hence
∠XMZ = 3x - 7 = (3 × 27) - 7 = 81 - 7 = 74°
Answer:
38
Step-by-step explanation:
(f°g)(5)=f(g(5)
(f°g)(5)=f(5^2-5*3)
(f°g)(5)=f(10)
(f°g)(5)=4(10)-2
(f°g)(5)=38