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3 years ago

If triangle ABC is congruent to triangle DEC, angle B = x + 15 and angle E = 6x - 65

Mathematics

1 answer:

DENIUS [597]3 years ago

5 0

If triangle ABC is congruent to triangle DEC, then all the lengths and angles in the one triangle are equal to their corresponding lengths and angles in the other triangle.

In other words, Angle B = Angle E

x+15 = 6x-65

Now solve for x:
-80 = 5x
-16 = x

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(b) Write the ratio 12:30 in the form 1:n

kari74 [83]

answer:

1 : 2.5

explanation:

given ratio: 12 : 30

divide by 12:

$\frac{12}{12}$ : $\frac{30}{12}$

1 : 2.5

n = 2.5

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2 years ago

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What is the slope of y=-4x+5

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Answer:

the slope is -4.

Step-by-step explanation:

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3 years ago

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4(2x + 1) = 12x + 3 - 4x +1

gayaneshka [121]

Answer:4(2x + 1) = 12x + 3 - 4x +1=0

Step-by-step explanation:

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add similar elements=4(2x+1)=8x+3+1

add the numbers=4(2x+1)=8x+4

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3 years ago

The circumference of Circle K is pi. The circumference of Circle L is 4xpi.

dmitriy555 [2]

Answer:

Ratio of circumferences: $\displaystyle\frac{1}{4}$

Ratio of radii: $\displaystyle\frac{1}{4}$

Ratio of areas: $\displaystyle\frac{1}{16}$

Step-by-step explanation:

Hi there!

We are given:

- The circumference of Circle K is $\pi$

- The circumference of Circle L is $4\pi$

Therefore, the ratio of their circumferences would be:

$\displaystyle\frac{\pi}{4\pi}$ ⇒ $\displaystyle\frac{1}{4}$ when simplified

The formula for circumference is $C=2\pi r$ , where <em>r</em> is the radius. To find the ratio of the circles' radii, we must identify their radii through their given circumferences.

If the circumference of Circle K is $\pi$ , or $1\pi$ , then its radius is $\displaystyle\frac{1}{2}$ .

If the circumference of Circle L is $4\pi$ , then its radius is $\displaystyle\frac{4}{2}$ , which is 2.

Therefore the ratio their radii would be:

$\displaystyle\frac{\frac{1}{2}}{{2}}$ ⇒ $\displaystyle\frac{1}{2}*\frac{1}{2}$ ⇒ $\displaystyle\frac{1}{4}$ when simplified

The formula for area is:

$A=\pi r^2$

First, let's find the area of Circle K:

$A=\pi (\displaystyle\frac{1}{2})^2\\\\A=\displaystyle\frac{1}{4}\pi$

Now, let's find the area of Circle L:

$A=\pi (2)^2\\A = 4\pi$

Therefore, the ratio of their areas would be:

$\displaystyle\frac{\frac{1}{4}\pi}{4\pi}$ ⇒ $\displaystyle\frac{\frac{1}{4}}{4}$ ⇒ $\displaystyle\frac{1}{4} * \frac{1}{4}$ ⇒ $\displaystyle\frac{1}{16}$ when simplified

I hope this helps!

5 0

2 years ago

Alguien me ayuda con su area porfaaaa

11Alexandr11 [23.1K]

Answer:

english please

Step-by-step explanation:

144 is the answer tho I think

8 0

3 years ago