Answer:
x = 41 degrees
Step-by-step explanation:
supplement of 73 = 107 degrees
x = 180 -107 - 32 = 41 degrees
Answer:
144cm²
Step-by-step explanation:
Area of square A Aa = La²
Area of square B Ab= Lb²
If the length of each side of square B is 4cm greater than the length of each side of square A, then;
Lb = La + 4 ... 1
Also if the area of square B is 70cm² greater than the area of square A, then;
Ab = Aa + 70
Since Aa = La² and Ab = Lb²
Lb² = La² + 70 ...2
Substitute 1 into 2;
(La+4)² = La²+70
Expand
La²+8La+16 = La²+80
8La+16 = 80
8La = 80 - 16
8La = 64
La = 64/8
La = 8cm
Since Lb = La + 4
Lb = 8 + 4
Lb = 12cm
Area of square B = Lb²
Area of square B = 12²
Area of square B = 144cm²
Answer:
D.) 38.6 m
Step-by-step explanation:
Use the cosine ratio:
Because we are given the measure of an angle and the length next to it (adjacent), and we need to find the hypotenuse (the hypotenuse is NEVER considered the adjacent side). Insert the values:
Now isolate the variable. Multiply both sides by x:
The x's on the right side cancel each other out. Simplify:
Now divide both sides by cos75°:
The cos75° on the left side cancels each other. Simplify:
Insert this value into a calculator to simplify the value of x:
The hypotenuse is 38.6 m.
:Done
Answer:
-1/3
Step-by-step explanation:
Take the ratio of the corresponding sides to get the scale factor so for this equation let's use the hypotenuse.
The length of the hypotenuse of the larger triangle is 12 units and the smaller triangle's hypotenuse is 4 so 4/12 is the scale factor.
However 4/12 can be simplified down to 1/3.
Since the smaller triangle has been flipped upside down the scale factor is negative so the final answer is -1/3
Answer:
D: There were 100 more football players than basketball players.
Step-by-step explanation:
