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HACTEHA [7]
2 years ago
8

Triangle ABC is dilated to create triangle DEF on a coordinate grid. You are given that angle A is congruent to angle D. What ot

her information is required to prove that the two triangles are similar?
Mathematics
1 answer:
Marina CMI [18]2 years ago
4 0

Answer:

They must meet at least three requirements like those in the explanation.

Step-by-step explanation:

-The other angles are also corresponding for example: B is congruent to E and C to F.

- Its sides are proportional to each other

-These two triangles can have the same shape no matter what size each one is

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What is the distance between the points (21 , 11) and (4 , 11) in the coordinate plane?
mash [69]
The different is that 21 is going ALL the way down to 21 while 4 is only going to 4..
4 0
2 years ago
A cone with radius 2 and height 9 has its radius tripled. How many times greater is the volume of the larger cone than the small
SpyIntel [72]

Answer:

When increasing the radius 3 times the volume increases 9 times and when it is reduced to a third the volume decreases 9 times

Step-by-step explanation:

We have that the formula for the volume of a cone is:

Vc = pi * (r ^ 2) * h

We first calculate the original volume, where the radius is 2 and the height is 9, replacing:

Vc = 3.14 * (2 ^ 2) * 9

Vc = 113.04

Now if the radius is tripled it would be: 2 * 3 = 6, the radius would be 6, replacing:

Vc = 3.14 * (6 ^ 2) * 9

Vc = 1017.36

If we compare:

1017.36 / 113.04 = 9

This means that when the radius is tripled, the volume increases 9 times.

When if re reduces to a third the radius would be: 2/3, replacing:

Vc = 3.14 * ((2/3) ^ 2) * 9

Vc = 12.56

113.04 / 12.56 = 9

Which means that by reducing it to a third the volume becomes 9 times smaller.

6 0
3 years ago
( 7x + 1/2) + ( 7x - 7 and 1/2) Simplify
pishuonlain [190]

Answer:

The answer will be 7(2x - 1)

Step-by-step explanation:

1) Convert 7 and 1/2 to improper fraction. Use this rule: a b/c = ac + b/c

7x +  \frac{1}{2}  + 7x -  \frac{7 \times 2 + 1}{2}

2) Simplify 7 × 2 to 14 .

7x +  \frac{1}{2}  + 7x  -  \frac{14 + 1}{2}

3) Simplify 14 + 1 to 15.

7x +  \frac{1}{2}  + 7x -  \frac{15}{2}

4) Collect like terms.

(7x + 7x) + ( \frac{1}{2}  -  \frac{15}{2} )

5) simplify.

14x - 7

6) Factor out the common term 7.

7(2x - 1)

Therefor, the answer is 7( 2x - 1 ).

7 0
2 years ago
Joann is looking at a map. The map shows that two towns are 13.5 inches apart. If the scale factor for the map is 1.25 inch = 10
k0ka [10]

Answer:

biotbhuvb2tupbpu2

Step-by-step explanation:

6 0
2 years ago
What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9?
Sholpan [36]

Answer:

the first step is to distribute the -4 to (3-5x)

Step-by-step explanation:

3 0
2 years ago
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