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2 years ago

Determine whether the two triangles are similar and, if they are similar, state a reason.

Mathematics

1 answer:

aleksley [76]2 years ago

5 0

Answer:

Step-by-step explanation:

By triangle sum theorem,

Sum of interior angles of a triangle is 180°.

Therefore, measure of third angle in the larger triangle = 180° - (35° + 120°) = 25°

Similarly, measure of third angle in the smaller triangle = 180° - (25° + 120°)

= 35°

Since, measure of interior angles of larger triangle is equal to the measure of smaller triangle,

Both the triangles will be similar by AA property of similarity.

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Question 7

serg [7]

$\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}$

Given - a cone with volume 769?3 ft³ , having a height of 15 ft

To calculate - radius of the cone

We know that ,

$\bold{Volume \: of \: cone = \frac{1}{3}\pi \: r {}^{2} h }\\$

substituting the values in the formula stated above ,

$\bold{769.3 = \frac{1}{3} \times 3.14 \times r {}^{2} \times 15} \\ \\\bold{\implies r {}^{2} = \frac{769.3 \times 3}{3.14 \times 15} } \\ \\\bold{\implies r {}^{2} = \cancel\frac{2307.9}{47.1}} \\ \\\bold{ \implies \: r {}^{2} = 49} \\ \\ \bold{\implies \: r = 7 \: ft}$

therefore ,

radius = 7 cm

hope helpful ~

4 0

1 year ago

Parallelogram ABCD is dilated to form parallelogram EFGH. Side AB is

denis23 [38]

Answer:

Step-by-step explanation:

All you have to do is look at the order of the letters/segments and line them up. Like:

ABCD

EFGH

AB AND EF ARE PROPORTIONAL.

4 0

3 years ago

Which of the following is the decimal 0.6250 written as a fraction in lowest form

geniusboy [140]

The answer is 5/8. Hope this helps

6 0

3 years ago

A local hospital tracked the blood type and gender of the patients they saw on an average day. Which is a fair statement?

Oksana_A [137]

Tracked the blood type.

3 0

2 years ago

Read 2 more answers

kate takes 48 minutes to get to the park. if she gets to the park at 2:32 what time did she leave for the park

olya-2409 [2.1K]

Answer:

1:44

Step-by-step explanation:

You can subtract 32 minutes from 2:32 to get 2:00.

Since you only subtracted 32, subtract 16 (16+32=48) from 60, since 60 minutes is one hour, to get 1:44

8 0

2 years ago