#4. 20 Tropical Fantasies
It says that the triangles are congruent (same size). Also, a triangle's angles add up to 180 degrees. In both of these triangles, one angle is 90° and another angle is 52°. The other angle is 180°-90°-52°=38°.
Solve these equations to find x and y: 2x+18=38, 3y+11=38


Answer:
The solution to the inequality is:

The number line solution graph is also attached below.
Step-by-step explanation:
Given the inequality

Add 8 to both sides


Divide both sides by 2


Add 3 to both sides


Thus, the solution to the inequality is:

The number line solution graph is also attached below.
Answer:

Step-by-step explanation:
simplify

to

then
-0.05 × 120 = -6
then we have our answer
-6√2
An = a1 + (n - 1)(d)
Where a1 is the first term and d is the common difference.
First find d, the common difference.
24, ____, 32
a3 a4 a5
Subtract 32-24 = 8
Subtract a5 - a3 = 2
Divide 8/2 = 4
d = 4
Use d and one of the values they give us to find a1.
a3 = 24
24 = a1 + (3 - 1)(4)
24 = a1 + 2(4)
24 = a1 + 8
Subtract 8 from both sides
16 = a1
an = 16 + (n - 1)(4)
Can also be written
an = 16 + 4n - 4
an = 4n + 12