Answer:
Step-by-step explanation:
Since you didn't state what you're looking for, I will lost out all the angles in the picture instead.
Given that
∠CEF = 150°
∠ECA = 32°
∠CEA = 180 - ∠CEF(angles in a straight line)
∠CEA = 180 - 150
∠CEA = 30°
∠EAC = 180 - ∠CEA - ∠ECA(angles in a triangle)
∠EAC = 180 - 30 - 32
∠EAC = 118°
∠CAB = 180 - ∠EAC(angles in a triangle)
∠CAB = 180 - 118
∠CAB = 62°
∠ACB = ∠CEA = 30°(similar angles)
∠ABC = 180 - ∠CAB - ∠ACB(angles in a triangle)
∠ABC = 180 - 62 - 30
∠ABC = 88°
∠ECB = ∠ECA + ∠ACB(angles in a triangle)
∠ECB = 32 + 30
∠ECB = 62°
∠CEA + ∠ECB + ∠ABC = 180
30 + 62 + 88 = 180°.
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Answer:
30 I N
Step-by-step explanation:
Triangles CPA and CPB are both right triangles. They share a leg, so that leg in one triangle is congruent to that leg in the other triangle. We are given that PA is congruent to PB by the hash marks on the diagram. Thus two legs and an included angle are congruent between the triangles.
... ∆CPA ≅ ∆CPB by the SAS postulate
Then side CA ≅ CB = 15 in, because corresponding parts of congruent triangles are congruent (CPCTC).
... CA is 15 in.
Answer:
Step-by-step explanation:
f(x) = (x - 2)(x - 5)x(x+ 7)
f(x) = (x^2 - 7x + 10)*x * (x + 7)
f(x) = x(x^3 - 39x + 70)
f(x) = x^4 - 39x^2 + 70x
To show that this is correct, I've made a graph with these points labeled. The graph is just around the x axis. The local maximums and minimums are just too large a value.