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3 years ago

A triangle, triangle ABC, is dilated to form triangle beef. Which of the following must be true?

Mathematics

1 answer:

CaHeK987 [17]3 years ago

5 0

D.)area of triangle ABC < area of triangle DEF

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In the figure below, AB=AE, AC=AD and AP is perpendicular to BE. Prove that BC=DE.

NISA [10]

Step-by-step explanation:

1) In the figure, as AB is equal to AE, ABE is an equilateral triangle.

As AP is perpendicular to BE

=> AP is the height of the triangle ABE.

In an equilateral triangle, the median and the height is the same, so that AP is also the median of the triangle.

=> P is the midpoint of BE

=> PE = PB

2) In the figure, as AC = AD, so that ACD is an equilateral triangle.

As AP is perpendicular to BE, so that it is perpendicular to CD as well

=> AP is the height of the triangle ACD

In an equilateral triangle, the median and the height is the same, so that AP is also the median of the triangle ACD.

=> P is the midpoint of CD

=> PC = PD

We have:

+) PB = PE

+) PC = PD

=> PB - PC = PE - PD => BC = DE

5 0

4 years ago

Which problem can be represented by the equation 12z + 2= 98

lisabon 2012 [21]

Where are the problems?

8 0

3 years ago

Find all zeros of 2x4 - 5x3 + 53x2 - 125x + 75=0

ser-zykov [4K]

Retire zero la bour li dan trou fess to pu ggnr bon

5 0

4 years ago

What is the measure of the angle that the slide makes with the ground, x, to the nearest degree? 28° 36° 54° 62°

ludmilkaskok [199]

Answer:

36°

Step-by-step explanation:

The computation of the measure of the angle is shown below:

As we know that

The trigonometric function in the right angle is

sinα = OS ÷ H

And,

cosα = AS ÷ H

Here

α represent the one of the angles

OS and AS represent the opposite sides

And, H represent the hypotenuse

sinx = 8.5 ÷ 14.5

x = arcsin = 8.5 ÷ 14.5

= 35.88

= 36 degrees

3 0

3 years ago

The density of lead is 11.4g/cm^3 at 25 degrees C. Calculate the volume occupied by 25.0g of lead

ElenaW [278]

Answer:

2.193 cm³

Step-by-step explanation:

density is mass divided by volume:

$density = \frac{mass}{volume}$

you can manipulate the formula by multiplying with volume:

$density \times volume = mass$

then dividing by density:

$volume = \frac{mass}{density}$

in this case:

$volume = \frac{25g}{11.4 \frac{g}{cm} } = 2.193 { \: cm}^{3}$

6 0

1 year ago