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3 years ago

PLS HELP ME & EXPLAIN ANSWER <3

Mathematics

1 answer:

defon3 years ago

5 0

Answer:

e. 10√30

Step-by-step explanation:

In this right triangle geometry, all of the right triangles are similar. This means that the ratio of long side to hypotenuse is the same for all triangles:

x/(10+50) = 50/x

Multiplying by 60x, we have ...

x^2 = 3000

x = 10√30 . . . . . take the square root. Matches choice E.

_____

Comment on estimating

You're looking for x. Examining the figure, you see that x is the long side of the triangle with hypotenuse 10+50=60, so it will be shorter than that value. x is also the hypotenuse of the triangle with long side 50. So, x will be longer than 50.

The only answer choice with a value between 50 and 60 is choice E.

You don't even need to know how to find x. You only need to know that the hypotenuse is the longest side in a right triangle.

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HURRY In the figure, j∥k and m∠2 = 117°. What is the m∠3 ?

Andreyy89

Answer:

∠ 3 = 63°

Step-by-step explanation:

∠ 2 and ∠ 3 are adjacent angles and supplementary, thus

∠ 2 + ∠ 3 = 180°, that is

117° + ∠ 3 = 180° ( subtract 117° from both sides )

∠ 3 = 63°

3 0

2 years ago

A group of friends ordered two pizzas, one with pepperoni and one with mushrooms and green peppers. A plain pizza costs 9 dollar

Xelga [282]

1 pizza = 9 dollars

1 topping = 1 dollar

1. Let's gather the information

2 Pizzas

One pizza is a pepperoni

The other is a mushroom and green pepper

2. Make an equation for the question

x9 + y1 = ?

x = number of pizzas

y = number of toppings

3. Multiply x and y by the number given

2 x 9 + 3 x 1 = ?

2 x 9 + 3 x 1 = 21

Which means, the two pizzas had costed 21 dollars.

8 0

3 years ago

A right triangle ABC with right angle at B and base BC is drawn. Length of AB is 12, length of BC is 11.5. A similar right trian

expeople1 [14]

Answer:

Option D is correct.

Length of PQ is 36 unit.

Explanation:

If the measures of two sides in one triangle are proportional to the corresponding sides in the another triangle and their including angles are congruent, then the triangles are similar.

Given: Right angle triangle ABC at B , Length of AB = 12 unit and length of BC = 11.5 unit and in right angle triangle PQR at Q , length of QR = 34.5 unit.

Also it is given that Angle A is congruent to angle P and angle C is congruent to angle R.

To find the length of QR:

It is given that ΔABC and ΔPQR are Similar triangle

then, by the definition of similar triangle:

$\frac{PQ}{AB} = \frac{QR}{BC}$