First, we must figure out what the hypotenuse of the triangle is. We have the two small sides (5 and 12), but don't have the larger side. To find this, we must use the Pythagorean theorem: $a^{2} + b^2 =c^2$

Let's plug in our a and b values

$5^2 + 12^2 = C^2$

Simplify

$144 + 25 = c^2$

$169 = c^2$

Square both sides

$c = 13$

But sadly, we aren't done yet. Now we know the length of the whole hypotenuse side. Time to figure out what X is by a simple equation.

$12x + 14x = 13$

Simplify

$26x = 13$

Divide by 26

Answer is 1/2

6 0

3 years ago

What is the length of the arch CH

Yakvenalex [24]

Answer:

147°

Step-by-step explanation:

The measure of arc CH is equal to the central angle it sees

the angles arc AH sees are BAC and CAH so the length of arc AH would be the sum of these two angles

90° + 57° = 147°

3 0

3 years ago

DIRECT VARIATION

aivan3 [116]

Y $\alpha$ x
y=kx
36=6k
k=6
42=6x
x= $\frac{42}{6}$
x=7

8 0

3 years ago