What is the value of x in the triangle

Mathematics

1 answer:

KonstantinChe [14]3 years ago

7 0

Answer:

x = 17

Step-by-step explanation:

This is a right triangle so we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

15^2 + x^2 = (sqrt(514))^2

225 + x^2 = 514

Subtract 225 from each side

225-225 + x^2 = 514-225

x^2 =289

Take the square root of each side

sqrt(x^2) = sqrt(289)

x = 17

You might be interested in

How can someone convert 150 kph to mph?

Tasya [4]

It would equal 93.2057mph

4 0

3 years ago

A company makes 140 bags.

malfutka [58]

Answer:

Step-by-step explanation:

The question says we have 140 bags and we have 4 models

bags have buttons but no zips.

bags have zips but no buttons.

bags have neither zips nor buttons

bags have both zips and buttons

We don't know how many bags have zips and buttons but we know how many bags are produced. And other 3 types of bags number. So we can calculate

140-47-48-22=23

That means we have 23 bags that have zips and buttons

and

48 of the bags have zips too. that means we have 48+23=71 bags that have zips on them.

8 0

2 years ago

In the above figure (not drawn to scale), Find ∠AEC.

n200080 [17]

Answer:

C. 75°

Step-by-step explanation:

We have been given a circle and we are asked to find the measure of angle AEC.

We will use Intersecting chords theorem to find the measure of angle AEC, which states that measure of angle formed inside a circle by two intersecting chords is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

We can see that measure of arc AC is 110 degrees and measure of its vertical arc BD is 40 degrees.

$m\angle AEC=\frac{110^o+40^o}{2}$