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2 years ago

Find the value of X. Show your work.

Mathematics

2 answers:

den301095 [7]2 years ago

6 0

Answer:

x = 3

Step-by-step explanation:

The triangle in the left is dilated 3 times bigger than the triangle in the right

that means that the left triangle is 3 times larger. In order to solve for x, you must compare one side from the left triangle to the other side of the right triangle.

so…

since the hypotenuse of the left triangle is 18, the hypotenuse of the right triangle is 3. 18 to 3 is 6 because 18 divided by 6 is 3.
And from 15 to 2 1/2 is 6 as well. (Use your calculator if you need to). so with all that information, x = 3 because…

4x > 2

and since the right triangle is 3 times larger…

4(3) > 2

12 > 2

and that means that 12 to 2 is 6

Therefore, the value of x is 3

Wittaler [7]2 years ago

4 0

Answer:

x = 3

Step-by-step explanation:

The traingels are similar so we can conpare sides.

3 is to 18 as 2 is to 4x or

3/18 = 2/4x

1/6 = 1/2x

6 = 2x

3 = x

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Vertices A and B of triangle ABC are on one bank of a river, and vertex C is on the opposite bank. The distance between A and B

Anna71 [15]

Answer:

The length of side b is 179 ft

Step-by-step explanation:

Given triangle ABC in which

∠A = 33°, ∠B = 63°, c=200

we have to find the length of b

In ΔABC, by angle sum property of triangle

∠A+∠B+∠C=180°

33°+63°+∠C=180°

∠C=180°-33°-63°=84°

By sine law,

$\frac{\sin \angle A}{a}=\frac{\sin \angle B}{b}=\frac{\sin \angle C}{c}$

$\frac{\sin \angle B}{b}=\frac{\sin \angle C}{c}$

$\frac{\sin 63^{\circ}}{b}=\frac{\sin 84^{\circ}}{200}$

$b=200\times \frac{\sin 63^{\circ}}{\sin 84^{\circ}}=179.182887\sim 179 ft$

The length of side b is 179 ft

Option C is correct.

7 0

3 years ago

Write a positive or negative integer that represents the situation. You lose 38 coins in a video game.

ikadub [295]

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5 0

2 years ago

-x+6is the same as -(x-6) how do I know? Pls help

Verdich [7]

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3 years ago

Jacob and Ali want to run from one corner of a football field to the opposite corner. The rectangular football field is 50 yards

svet-max [94.6K]

Answer:

Jacob ran 40 yards more than Ali.

Step-by-step explanation:

Football field is in the shape of a rectangle having dimensions 120 yards × 50 yards

Since Jacob runs around the perimeter of the field from one corner to other corner, therefore, distance run by Jacob = $(\text{Length+width})$