Answer:
-9
Step-by-step explanation:
The triangle has two sides that are the same, so it is an isosceles triangle. Therefore, the base angles are the same.
Angles of a triangle add up to 180°, so:
70 + (x + 64) + (x + 64) = 180
70 + 2x + 128 = 180
2x = -18
x = -9
6b + 6p = 33.60 ; b=2.90
6(2.90) + 6p = 33.60
17.40 + 6p = 33.60
-17.40 -17.40
6p = 16.20
/6 /6
p = 2.70
ANSWER: each pendant costs $2.70
Answer:
a=50 b=20
Step-by-step explanation:
Call A and B the 2 present ages.
Ten years from now, A is twice as old as B -->
(A + 10) = 2(B + 10) (1)
Five years ago, A was 3 times as old as B -->
(A - 5) = 3(B - 5) (2).
Solve the system (1) and (2).
From (2) --> A = 3B - 15 + 5 = 3B - 10.
Replace this value of A into (1) -->
3B - 10 + 10 = 2B + 20 --> B = 20. Then,
A = 3B - 10 = 60 - 10 = 50.
Check
!0 years from now --> A = 60 and B = 30 --> A = 2B .OK
5 years ago --> A = 45 and B = 15 --> A = 3B. OK
Answer:
The area of the circle is 28.26
The area of the circle in terms of pi is 9π
Step-by-step explanation:
radius = half of diameter
d = 6
r = 6/2 = 3
To solve this problem we need to use the area formula of a circle:
a = area
r = radius = 3
π = pi
a = π * r²
we replace with the known values
a = π * (3)²
a = π * 9
a = 9π
The area of the circle in terms of pi is 9π
9 * 3.14 = 28.26
The area of the circle is 28.26
