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2 years ago

Please answer this I REALLY REALLY REALLY NEED IT....

Mathematics

1 answer:

ziro4ka [17]2 years ago

8 0

The answers to this questions would be:

1. A-> (1.5, 1.5) 5. A and B-> 7 units

2. B-> (-2, -1.5) 6. C and D-> 3 units

3. C-> (-3.5, 2) 7. B and D-> 1 unit

4. D-> (0.5, 0) 8. A and D-> 8 units

-------------------------------- WORD PROBLEMS------------------------------------------

9. 8 feet

10a. (-4, -1) 10b. (4, 1)

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lyudmila [28]

${\large{\textsf{\textbf{\underline{\underline{Given :}}}}}}$

★ ∆ ABC is similar to ∆DEF

★ Area of triangle ABC = 64cm²

★ Area of triangle DEF = 121cm²

★ Side EF = 15.4 cm

${\large{\textsf{\textbf{\underline{\underline{To \: Find :}}}}}}$

★ Side BC

${\large{\textsf{\textbf{\underline{\underline{Solution :}}}}}}$

Since, ∆ ABC is similar to ∆DEF

[ Whenever two traingles are similar, the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. ]

$\therefore \tt \boxed{ \tt \dfrac{area( \triangle \: ABC )}{area( \triangle \: DEF)} = { \bigg(\frac{BC}{EF} \bigg)}^{2} }$

❍ Putting the values, [Given by the question]

• Area of triangle ABC = 64cm²

• Area of triangle DEF = 121cm²

• Side EF = 15.4 cm

$\implies \tt \dfrac{64 \: {cm}^{2} }{12 \: {cm}^{2} } = { \bigg( \dfrac{BC}{15.4 \: cm} \bigg) }^{2}$

❍ By solving we get,

$\implies \tt \sqrt{\dfrac{{64 \: cm}^{2} }{ 121 \: {cm}^{2} }} = \bigg( \dfrac{BC}{15.4 \: cm} \bigg)$

$\implies \tt \sqrt{\dfrac{{(8 \: cm)}^{2} }{ {(11 \: cm)}^{2} }} = \bigg( \dfrac{BC}{15.4 \: cm} \bigg)$

$\implies \tt \dfrac{8 \: cm}{11 \: cm} = \dfrac{BC}{15.4 \: cm}$

$\implies \tt \dfrac{8 \: cm \times 15.4 \: cm}{11 \: cm} = BC$

$\implies \tt \dfrac{123.2 }{11 } cm = BC$

$\implies \tt \purple{ 11.2 \: cm} = BC$

Hence, BC = 11.2 cm.

${\large{\textsf{\textbf{\underline{\underline{Note :}}}}}}$

★ Figure in attachment.

$\rule{280pt}{2pt}$

4 0

1 year ago

What is (16, -6) dilated with a scale factor of 1.5

Alexandra [31]

We need to see the other points

5 0

2 years ago

In the figure what is the length of BD?

Dmitry_Shevchenko [17]

Answer: 24

Step-by-step explanation: The triangle is a 45-45-90. It’s an isosceles triangle

5 0

2 years ago

6. Evaluate /(x) = -4x - 5 for x = -1.

Stels [109]

Answer:

-1

Step-by-step explanation:

-4(-1)-5=4-5=-1

3 0

2 years ago

Complete the steps to solve 1.02 ÷0.06

ki77a [65]

Answer:

your answer is 17 hope I helped

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2 years ago

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