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dolphi86 [110]
3 years ago
10

What is the value of x? ​

Mathematics
1 answer:
mr Goodwill [35]3 years ago
5 0

Answer:

x = 7

Step-by-step explanation:

Similar

The two triangles

1) the one making up the peak of the large triangle

2)the large triangle  

are similar. That is because the 2 bases are parallel and corresponding angles are equal. The third angle at the peak is common. So by AAA they are similar.

Proportion

Therefore the sides are in proportion.

5/40 = 3/(2x + 10)

Solution

Cross multiply

5*(2x + 10) = 40*3

Remove the brackets on the left. Combine the right.

10x + 50 = 120          

Subtract 50 from both sides

10x + 50 - 50 = 120 - 50

10x = 70

Divide by 10

10x/10 = 70/10

x = 7

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Answer:

  • 25 mph, 5 mph

Step-by-step explanation:

  • Speed of the boat = x
  • Speed of the current = y

<u>Travel downstream, speed is:</u>

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Which side lengths form a right triangle? Choose all answers that apply:​
Tom [10]

Answer:

Option C, 30 40 50

Step-by-step explanation:

In order for <u>3 sides to form a right triangle</u>, there are two options:

           1.) Both sides are equal, and the hypotenuse is sqrt(2) * the length of the sides.

           2.)  One side is (sqrt(3)) / 2 * h and the other side is 1/2 * h and the hypotenuse is just h.

<u>Step 1:  Determine if A is correct</u>

No, Option 1 is automatically thrown away because no sides are equal.

No, Option 2 isn't possible because if you put the sides in any arrangement it won't work.

<u>Step 2:  Determine if B is correct</u>

No, Option 1 is once again thrown away because no sides are equal.

No, Option 2 is not possible once again because in whatever arrangement you put the sides in, it won't work.

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