Answer:
51
Step-by-step explanation:
PEMDAS means parenthesis (there are none), exponents (there are none), multiplication. So you multiply 8x18 to get 144. Then you have division, so 144/4 is 36. Finally, you add this number to 15 to get 51 as your final answer.
Answer:
AB XY
Step-by-step explanation:
They are congruent side angles
Answer:
The focus is: 
Step-by-step explanation:
Given

Required
Determine the focus
The focus of a parabola

is:

So, we have:

Cross multiply

Rewrite as:

Rewrite as:

Express 8 as 4 * 2

By comparison with: 

So, the focus
is:


The GCF would simply be 1 because 19 is a prime number. This means that the only factors of 19 are 1 and 19, while the factors of 22 would be 1, 2, 11, and 22. The only factor they share is 1, so their greatest common factor is 1.
Answer:
<h3>Q1</h3>
- This is acute angle since 75° < 90°
<h3>Q2</h3>
- This is an isosceles triangle
<h3>Q3</h3>
<u>Exterior angle is the sum of non-adjacent interior angles:</u>
- 4x + 7 + 6x - 9 = 118
- 10x - 2 = 118
- 10x = 120
- x = 12
m∠L = 4*12 + 7 = 48 + 7 = 55°
<h3>Q4</h3>
<u>The triangles are congruent and corresponding sides are equal:</u>
- 3x - 5 = 2x + 1
- 3x - 2x = 1 + 5
- x = 6
<u>Side lengths are:</u>