Answer:
c < 8
Step-by-step explanation:
Answer:
side lengths are 6, 12, 12, 9, 9
Step-by-step explanation:
The perimeter is the sum of the lengths of the sides:
x + 2x + 2x + (x+3) + (x+3) = 48
7x +6 = 48 . . . . collect terms
7x = 42 . . . . . . .subtract 6
x = 6 . . . . . . . . . divide by 7
Substitute this value into the expressions for the side lengths:
x = 6
2x = 12
x+3 = 9
The side lengths are 6, 12, 12, 9, 9.
Answer:
A) -8x^2 - 26x - 15
Step-by-step explanation:
(4x + 3)(-2x - 5)
FOIL
first: 4x*-2x = -8x^2
outer : -5*4x = -20x
inner: -2x*3 = -6x
last: -5*3 = -15
Add these together
-8x^2 -20x-6x -15
-8x^2 -26x-15
Answer: 6
Step-by-step explanation: By checking the factors of both numbers, you see that 6 is their greatest common factor.
30: 1, 2, 3, 5, 6, 10, 15, 30
42: 1, 2, 3, 6, 7, 14, 21, 42
Hope this helps!
Answer:
67.5°, 107.5°
Step-by-step explanation:
For supplementary angles, their sum equals 180°.
Let x be the first angle and y be the second angle, then
x + y = 180°.
It is given that x = y + 45°.
So x + y = 180°
substituting x into the equation, we have
y + 45° + y = 180°
simplifying, we have
2y + 45° = 180°
collecting like terms, we have
2y = 180° - 45°
2y = 135°
dividing through by 2, we have
y = 135°/2
y = 67.5°
Since y = 67.5°
then x = y + 45°
x = 67.5° + 45°
x = 107.5°
