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Goryan [66]
3 years ago
9

Devin’s football team carpools for practice every week. This week is his parents’ turn to pick up team members and take them to

the football field. While still staying on the roads, Devin’s parents always takethe shortest route in order to save gasoline. Below is a map of their travels. Each gridline represents a street and the same distance.
Mathematics
1 answer:
dem82 [27]3 years ago
3 0
No map??????????????
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What coordinates for point c would make pqt simular to abc
Dafna1 [17]

Answer:

A. (7, -5)

Step-by-step explanation:

The given coordinates of the vertices of ΔPQT are;

P(-2, 5), Q(-2, 1) and T(-5, 1)

The length of the side TQ = 3 units

The length of the side PQ = 4 units

Therefore, the length of the side PT = √(3² + 4²) = 5

The coordinates of the line segment AB = A(1, 3), B(1, -5)

Therefore, using a scale factor of 2, where the sides PQ and AB are corresponding sides, we have;

Where BC is the corresponding side to the TQ on ΔPQT, we have;

The length of BC = 2 × The length of TQ = 2 × 3 units = 6 units (distant from <em>B</em> along the x-axis)

Therefore, the possible points for the point <em>C</em> are;

C(1 - 6, -5) or C(1 + 6, -5)

C(-5, -5) or C(7, -5)

Therefore, the correct option is option A. C(7, -5).

5 0
3 years ago
help please!! find the area of each triangle. round intermediate values to the nearest tenth. use the rounded values to calculat
White raven [17]

Area of a triangle = (1/2)*base*height

For both of the triangles, you have the base (8.8 for the triangle on the left, 7.6 for the triangle on the right) and the side lengths, but not the height. But since both are isosceles triangles, you can find the height using the pythagorean theorem.

5.

First divide the triangle vertically into two triangles (see attached picture). Now you have two right triangles, you can apply the pythagorean theorem on either one of them to find the height. The pythagorean theorem says that for a right triangle, a^2+b^2=c^2, where c is the hypotenuse and a and b are the sides of the triangle.

Substituting the given values and rounding to nearest tenth:

a^2+b^2=c^2\\4.4^2+h^2=10^2\\h=9.0

Now that you have the height, you can find the area of the entire triangle.

A = (1/2)*base*height

A = (1/2)*8.8*9.0 = 39.6

6.

Same procedure.

a^2+b^2=c^2\\3.8^2+h^2=10^2\\h=9.2

A = (1/2)*base*height

A = (1/2)*7.6*9.2 = 35.0

7 0
3 years ago
What is 42 divided by 1020
Dvinal [7]
It is 0.0411764706 when divided with a calculator. In a scientific notation it would be 4.11764706 x 10^(-2).
6 0
3 years ago
Simplify.<br> -3(u + 3) + 4(4u + 2)
sergeinik [125]

Hello!

So, here you want to do the distributive property.

Start on the left side of the + sign...

-3*u = -3u

-3*3 = -9

So we now we have:

(-3u + -9) + 4(4u + 2)

Now we focus on the right side of the + sign...

4*4u=16u

4*2=8

So now we have:

(-3u + -9) + (16u + 8)

Now you want to combine like terms. Start by adding terms with the same variable. So, we need to add -3u and 16u

<em>-3u + 16u =</em> 13u

Now we have:

13u + -9 + 8

Now add the constants, -9 + 8

-9 + 8 = -1

So, the simplified expression would be:

13u - 1 or 13u + -1

6 0
3 years ago
Read 2 more answers
Pat wants to enter a typing contest. In order to enter, one has to be able to type t0 words per minute. Pat took 15 seconds to t
galben [10]
No, because he can only type 40 words a minute
5 0
3 years ago
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