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3 years ago

Choose the explanation that shows why ΔADE is similar to ΔABC.

Mathematics

1 answer:

Elan Coil [88]3 years ago

8 0

Hello,

First of all,
C. and D. are both incorrect because they apply translations to ABC; translations will misalign ADE with ABC.

Next,
A. is incorrect because a dilation of 1/2 will place D at (0,3) from its original point of (0,2). Also, the dilation will place E at (6,0) from its original point of (4,0). The triangle ADE would be too small to map ABC.

Finally,

B. Is the correct answer because a dilation of 2 will place D at (0,4)—where B is—and will place E at (8,0), where C is.
Choice B. maps ADE onto ABC

Sorry for that much information, but I think it’s useful. XD

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For a regular 15-sided polygon, what is the degree of rotation?

Volgvan

Hope this helps! :)
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4 years ago

What is the value of n in the equation 1 (n – 4) – 3 = 3 - (2n+3)?

xxTIMURxx [149]

Answer:

n=7/3

Step-by-step explanation:

1 (n – 4) – 3 = 3 - (2n+3)

1. distribute the 1 on the left side and distribute the -1 on the right side

1n-4-3=3-2n-3

2. add like terms

1n-7=-2n

3. move n to one side and by itself

-7=-3n

4. divide -3 to get n alone. Both negatives cancel out each other

7/3=n

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4 years ago

Read 2 more answers

A lifeguard is in a look out chair and sees a person in distress. The eye level of the lifeguard is 15 feet above the ground. Th

faltersainse [42]

Answer:

Horizontal distance between lifeguard and the person is 22 feet.

Step-by-step explanation:

Given: A lifeguard sees a person in distress.The eye level of the lifeguard is 15 feet above the ground. Angle of depression is 34°.

To find: Horizontal distance between lifeguard and the person.

Solution : If we draw a triangle then tan∅ = $\frac{height}{base}$

Here base is the horizontal distance.

Now we put the values in the formula.

tan 34° = $\frac{15}{base}$

Or Base = $\frac{15}{tan34}$

= $\frac{15}{0.675} = 22.22 feet$

So the answer is 22 feet.

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3 years ago

Which expression represents the sum of (2x-5y) and (x+y)?

trasher [3.6K]

(2x-5y) + (x+y)
= (2x+x) + (-5y+y)
= 3x + (-4y)
= 3x-4y
So option A is the correct one.

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3 years ago

Solve for the formula for the indicated variable. Solve A=1/2bh for b.

choli [55]

B = 2A/h

The way you would get this is first by clearing the fraction. So in order to clear the fraction, you have to multiply the equation by the denominator.

2(A = 1/2bh)

2A = 1bh

2A = bh

Then you have to isolate the variable. So you'd divide bh by h in order to get b by itself. So you'd end up with:

2A/h = bh/h

2A/h = b

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3 years ago