Answer:
The circumference of original circle is, The area of original circle is, The dilation by scale factor 8 means the radius of new circle is 8 times of the original circle. Therefore the radius of new circle is 4 ft and the statement A is true.
Answer: 3/4
Step-by-step explanation: Dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the divison sign to multiplication and flip the second fraction.
So here, 3/8 divided by 1/2 can be rewritten as 3/8 × 2/1.
Now we are simply multiplying fractions so we multiply across the numerators and we multiply across the denominators.
So we have 3 × 2 which is 6 and 8 × 1 which is 8. Since 6/8 is not in lowest terms, we divide the numerator and the denominator by the greatest common factor of 6 and 8 which is 2 and we get the equivalent fraction 3/4.
Therefore, 3/8 divided by 1/2 is 3/4.
A.In Step 2, 90 should be multiplied by the quantity 10 – 12, not by 10.
correct:
90(10 - 12) = 90 · 10 - 90 · 12 or 90(10 - 12) = 90 · (-2)
Answer:
2x+2x2=32
2x+4=32
Step-by-step explanation:
Answer: choice G)
Corresponding angles are congruent; therefore, 2x+52 = 76
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Explanation:
Let's go through the answer choices one by one
- We can rule out choice F because 4x and 104 are alternate exterior angles. They are equal because line a and line b are parallel. So 4x = 104 is a valid equation to solve for x.
- Choice G is the answer because 2x+52 and 76 are not corresponding angles. One possible pair of corresponding angles are 2x+52 and 104. These two angles are in the southeast corner of each 4 corner angle configuration, which is why they correspond to one another. The pairing 2x+52 and 76 are instead supplementary, so those two angles add to 180.
- We can rule out choice H because 4x and 2x+52 are congruent vertical angles. Vertical angles form when we have an X shape from the intersection of two lines. Specifically vertical angles are opposite one another like the diagram shows.
- We can rule out choice J because the angles (4x) and (x+50) are supplementary. This means they add to 180. This applies to any pair of same side exterior angles. They are on the same side of the transversal line t. They are exterior because they are outside of the parallel lines a and b.
