Answer:
45°,55° and 80°.
Step-by-step explanation:
Dilations preserve angle measures, regardless of the scale factor. Therefore, the angle measures of the image will be the same of that of the pre-image, so our answer is still 45 °, 55 °, and 80 °.
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Answer:
37 minutes
Step-by-step explanation:
Answer:
D= -0.37
R= -0.34
Step-by-step explanation:
Answer: The answer is 60
Step-by-step explanation: 40% = .4 because % means hundredths. So 40% = 40/100 = .4
Let x be the total number of marbles.
Then, .4x = 24
Divide both sides by .4
x = 60 and 24 is 40% of 60 marbles
Answer:
C
Step-by-step explanation:
Given 2 secants intersect a circle from a point outside the circle, then
The product of the external part and the entire part of one secant is equal to the product of the external part and the entire part of the other secant, that is
x(x + 10 + x) = 6(6 + 10 + x)
x(2x + 10) = 6(16 + x) ← distribute parenthesis on both sides
2x² + 10x = 96 + 6x ← subtract 96 + 6x from both sides
2x² + 4x - 96 = 0 ← in standard form
Divide through by 2
x² + 2x - 48 = 0 ← factor the left side
(x + 8)(x - 6) = 0
Equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8
x - 6 = 0 ⇒ x = 6
However x > 0 ⇒ x = 6 → C
