Answer:
2. 90°
3. 65°
Step-by-step explanation:
2. Points A, B, and D are on a semicircle centered at C. The angle A is inscribed in that semicircle, so is 90°. Then angles B and D sum to 90°.
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3. Triangle ABC is similar to triangle EDC by SAS, so angle x has the same measure as the third angle of triangle EDC: 180° -80° -35° = 65°.
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The relevant relationship in both cases is that the sum of angles in a triangle is 180°. Also, for problem 2, you need to know that an inscribed angle has half the measure of the arc it subtends. And for problem 3, it helps to understand the relationships in similar triangles.
Answer:
A = 1.00b + 57.00
Step-by-step explanation:
A = total price
57: amount earned every week
1: amount per book sold
b: number of books sold
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Answer:
x=7
Step-by-step explanation:
−3(x−1)+8(x−3)=6x+7−5x
(−3)(x)+(−3)(−1)+(8)(x)+(8)(−3)=6x+7+−5x(Distribute)
−3x+3+8x+−24=6x+7+−5x
(−3x+8x)+(3+−24)=(6x+−5x)+(7)(Combine Like Terms)
5x+−21=x+7
5x−21=x+7
Step 2: Subtract x from both sides.
5x−21−x=x+7−x
4x−21=7
Step 3: Add 21 to both sides.
4x−21+21=7+21
4x=28
Step 4: Divide both sides by 4.
4x/4=28/4
Its 4 (24+8 because the am answer because 28+12= 28.