Step-by-step explanation:
30=-5(6n+6)
30=-5×6n-5×6
30=-30n-30
30+30=-30n
60=-30n
60/-30=-30n/30
-2=n
Answer:
The value of x =2 and y= 2, because they are congruent and 2+2=4
Answer:
50
Step-by-step explanation:
Use pythagoreom theorem to determine the length of the hypotenuse:
a² + b² = c²
- assign side a to 30 and side b to 40
30² + 40² = c²
90 + 160 = c²
250 = c²
Now square root both sides to isolate side c:
√250 = √c²
50 = c
side c = 50
Answer:
Area = 114
Step-by-step explanation:
We first must find the area of the larger outside rectangle.
Area = length × width
15 × 8 = 120
Then we find the area of the smaller inside rectangle.
4 × 1.5 = 6
Since the small rectangle is not shaded we have to subtract its area from the larger shaded rectangle's area.
120 - 6 = 114