Answer:
165
Step-by-step explanation:
First, m<UTS=m<UTV+m<VTS by Angle Addition Postulate. Then, you substitute all the values that you provided for the angles. 15x+15=x+15+140. You then solve for x.
15x+15=x+155
14x=140
x=10
You then plug back in 10 for X in the value of m<UTS. 15(10)+15=165
l = 2w + 4
l * w = 48
We can substitute l with its value:
2w + 4 * w = 48
2w^2 + 4w - 48 = 0
2(w^2 + 2w - 24) = 0
2(w+6)(w-4) = 0
w = {4, -6}
Answer:
<u>scalene</u>
Step-by-step explanation:
Length of XZ = √3² + 4² = √25 = 5
Length of ZY = √1² + 7² = √50 = 5√2
Length of XY = √4² + 5² = √41
As all lengths are different, the triangle is <u>scalene</u>
Answer:
400
Step-by-step explanation:
Looking at the number 433, we have to look at the number in the tens place (in this case, 3) to determine if we will round down to 400, or up to 500.
Because the number 3 is less than 5, we will round down to 400.
