Answer:
D.) 8
Step-by-step explanation:
You can use the Pythagorean theorem because this is a right triangle:

a and b are the legs and c is the hypotenuse. The hypotenuse is always the longest side in a right triangle (since it is opposite the biggest angle). The two legs squared have to add up to the hypotenuse squared.
Fill in values:

Simplify exponents:

Isolate the variable. Subtract 225 from both sides:

Find the square root of both sides:

The missing leg length is 8.
Answer
Write an expression for the number of pencils Maggie gives to jamil.
To prove
Let us assume that the number of pencils Katie have = x
As given
Katie gives Maggie half of her pencils.

As given
Maggie keeps 5 and gives the rest to jamil.
Thus

Therefore the expression for the number of pencils Maggie gives to jamil are
.
Answer:
24 people borrowed the books on Friday
Step-by-step explanation:
Every day, the number of books is being subtracted by 2.
56 - Monday (-8)
48 - Tuesday (-8)
40 - Wednesday (-8)
32 - Thursday (-8)
24- Friday
Answer:
70.52 degrees
Step-by-step explanation:
To find the angles, we must first find the lengths of each side of the triangle. Adding up the respective radii, we can see that
XY = 5+4 = 9 CM
XZ = 6+5 = 11 CM
ZY = 4+6 = 10 CM
Now we can apply the cosine rule

We need to rearrange the rule to solve for x, our missing angle

solving for our unknown angle:


Therefore angle YXZ is 70.52 degrees