I believe the answer is D because the pathagreom theorum proves it true (excuse my terrible grammar)
One side of the rectangle is x=2, the other side is 2x-5
Add up all the four sides: (x+2) +(x+2)+(2x-5)+(2x-5)=54
6x-6=54
x=10
#3: suppose the first integer is x, then the second one is x+2
x(x+2)=255
x^2 +2x -255 =0
factor the quadratic equation: (x+17)(x-15)=0
x=-17, which is impossible, or x=15
so the two positive integers are 15 and 17
Answer:
D
Step-by-step explanation:
The formula for C is
C=2πr (using 3.14 as pi)
so C=2(3.14)(45)
so C=90(3.14)
so C≈282.6 or D
Answer:
Step-by-step explanation:
3. Use Cosine law to find the length of the unknown side (PR)
q² = p² + r² - 2prCos Q
q is the opposite side of ∠Q;
p is the opposite side of ∠P; p = 33
r is the opposite sides of ∠R ; r = 67
q² = 33² + 67² - 2* 33*67 Cos 19°
= 1089 + 4489 - 4422 * 0.95
= 1089 + 4489 - 4200.9
= 1377.1
q = √1377.1
q = 37.1
PR = 37.1
To find the angle use law of sin

Sin P = 0.3

P = 17.5°
∠R = 180 - (19 + 17.5)
= 143.5°
Answer:
7 in
Step-by-step explanation:
If 12 inches of wire can be bought for $0.48, we can set up the following ratio:

Then, to determine how many inches of wire can be bought for $0.28, set up equivalent fractions, as such:

Then, cross-multiply and solve for
:



