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3 years ago

PLEASE HELP ASAP WILL MARK THE BRAINLEST

Mathematics

1 answer:

statuscvo [17]3 years ago

4 0

Answer:

similar triangles

Step-by-step explanation:

First of all, what are similar shapes? Well, two shapes are similar if you can turn one into the other by moving, rotating, flipping, or scaling. That means you can make one shape bigger or smaller. In this case, we know that triangles ABC and DEF are mathematically similar. The area of triangles ABC is , so we need to know the area of triangle DEF.

From math, let's call the scaling factor, so we know that for any similar figures, the ratio of the areas of any are in proportion to . In other words, if is the area of triangle ABC, and is the area of triangle DEF, then we can write the following relationship:

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The proof, with a missing reason, proves that the measure of angle ECB is 54°.

aniked [119]

Answer:

Midsegment of a Triangle Theorem

Step-by-step explanation:

$In\: \triangle ADE\\m\angle A + m\angle D + m\angle AED = 180°\\\therefore 90°+36°+m\angle AED= 180°\\\therefore 126° +m\angle AED = 180°\\\therefore m\angle AED = 180°-126°\\\therefore m\angle AED = 54°\\$

$In\: \triangle ADE,$ D and E are mid points of sides AB and AC respectively.

Therefore, DE || BC

Hence, by Midsegment of a Triangle Theorem

$m\angle ACB = m\angle AED =54°(corresponding\:\angle 's) \\\therefore m\angle ECB = m\angle AED =54°(\because A - E - C)$

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3 years ago

Select the correct answer.

stich3 [128]

Answer:

Option C

Step-by-step explanation:

f(1) = -8

f(2) = -5/2×-8 = -20

f(3) = -5/2×-20 = -125

So option C is the answer

4 0

3 years ago

Read 2 more answers

Factor completely 3x^4 - 3x ^3 - 18x ^2. Which of the following is one of the factors?

Otrada [13]

Answer:

$3x^4 - 3x ^3 - 18x ^2=3x^2(x+2)(x-3).$

Step-by-step explanation:

The expression $3x^4 - 3x ^3 - 18x ^2$ consists of three terms:

$3x^4;$
$-3x^3;$
$-18x^2.$

These three terms have common factor $3x^2.$ Thus,

$3x^4 - 3x ^3 - 18x ^2=3x^2(x^2-x-6).$

Consider the expression $x^2-x-6.$ You can rewrite it as

$x^2-x-6=x^2+2x-3x-6=x(x+2)-3(x+2)=(x+2)(x-3).$

The whole expression takes look

$3x^4 - 3x ^3 - 18x ^2=3x^2(x+2)(x-3).$

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3 years ago

An operation manager at an electronics company wants to test their amplifiers. The design engineer claims they have a mean outpu

Zarrin [17]

Answer: brother

Step-by-step explanation:

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3 years ago

John ran the 100-m dash with a time of 9.93 sec. If this pace could be maintained for an entire 26-mile marathon, what would his

slega [8]

You can infer from this problem that for every 100 m that John was able to run, it takes him 9.93 seconds. To get how much time is needed for 26 – mile marathon, you need to divide 26 miles by 100 meters. But first, you need to convert 26 miles to meters first.

1 mile = 1,609.34 meters

26 miles = 41,842.84 meters

41,824.84 meters / 100 meters = 418.43 x 9.93 seconds = 4,155 seconds or 69.25 minutes

4 0

3 years ago