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8_murik_8 [283]
3 years ago
7

Triangle DEF is a scaled copy of triangle ABC. Which angle in the scaled copy corresponds to angle C?

Mathematics
2 answers:
Alexxx [7]3 years ago
3 0
Its F! F is corresponds to the angel C!
damaskus [11]3 years ago
3 0
F. You can tell by ratio of side lengths, which is 1.5, which means that one side of triangle DEF is 1.5 times longer than the corresponding side in triangle ABC. We know that line AC corresponds to line DF because 9 is 1.5 times larger than 6. We also know that corresponding side lengths have corresponding angle measures, so we know that angle C corresponds to angle F.
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A-b
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Answer:

\boxed{\sf d. \ \frac{a}{b}  =  \frac{10}{7}}

Step-by-step explanation:

\sf \implies \dfrac{a - b}{b}  =  \dfrac{3}{7}  \\  \\  \sf \implies  \frac{a}{b}  -  \frac{b}{b}  =  \frac{3}{7}  \\  \\  \sf \implies  \frac{a}{b}  - 1 =  \frac{3}{7}  \\  \\  \sf \implies  \frac{a}{b}  - 1 + 1 =  \frac{3}{7}  + 1 \\  \\  \sf \implies  \frac{a}{b}  =  \frac{3}{7}  + 1 \\  \\  \sf \implies  \frac{a}{b}  =  \frac{3}{7}  +  \frac{7}{7}  \\  \\  \sf \implies  \frac{a}{b}  =  \frac{3 + 7}{7}  \\  \\  \sf \implies  \frac{a}{b}  =  \frac{10}{7}

6 0
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what is the slope of a 5-foot high platform that begins at ground level 10 feet from the base of the platform?​
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Answer:

11.2 feet

Step-by-step explanation:

Given: Height of platform (Opposite)= 5 foot

            Distance of slope from the base of platform (adjacent)= 10 feet

Picture drawn to show the measurement.

Lets find the length of slope.

Using the Pythagorean theoram.

hypotenous^{2} = opposite^{2} + adjacent^{2}

Subtituting the value in the formula.

hypotenous^{2} = 5^{2} + 10^{2}

⇒ hypotenous^{2} = 25 + 100

⇒ hypotenous^{2} = 125

Putting square root on both side

We know, √a²= a

⇒ hypotenous = \sqrt{125}

∴ hypotenous= 11.18 \approx 11.2 \ feet

Hence, the slope is 11.2 feet

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