Answer:
x= +13/5
Step-by-step explanation:
2-7 is -5 so it simplifies to -5x=-13
Then you divide both sides by -5 to get -5x/-5=-13/-5
The negatives cancel off and your left with x=13/5
First page:
Angles B and C >>> vertical angles
C + D is 180 because they form a >>> straight line
D and E are congruent bc they are alternating interior.
Second page:
If A = 72 degrees, then D is 72 degrees. E and G would also be 72 degrees.
If A = 72, just remember that A + B = 180 (bc together they are a straight line), so 180-72 = 108. So Angle B is 108 degrees.
If B is 108 degrees, then C, F and H are also 108 degrees.
So the actual questions in the order listed:
B = 108 degrees
D = 72 degrees
E = 72 degrees
F = 108 degrees
H = 108 degrees
G = 72 degrees
10
9
8
Step-by-step explanation:
We are provided with an equation and are required to give reasons on how we got the final answer.
(1.) The equation is -3(2x-3) = 25-8x is given.
(2.) In this step, we have simplified the left hand side of the equation by opening the bracket i.e. -6x+9 = 25-8x
(3.) Here, the terms containing 'x' are brought to the left hand side of the equation and simplified i.e. 2x+9 = 25
(4.) Now, the constant terms of the equation are brought to the right side of the equation and simplified i.e. 2x = 16.
(5.) Lastly, the whole equation is divided by 2 in order to get the value of 'x' i.e. x = 8.
Answer: x^2 + 23x + 49
Step-by-step explanation:
The area of the shaded region is the area of the big rectangle minus the square
area of rectangle
area = bh
b = 2x + 5
h = x + 10
area = (2x+5)(x+10) FOIL
= 2x^2 + 20x + 5x + 50
= 2x^2 + 25x + 50
area of square
area = s * s
s = x + 1
area = (x+1)(x+1) FOIL
= x^2 + x + x + 1
= x^2 + 2x + 1
area of shaded region
now subtract rectangle - square
(2x^2 + 25x + 50) - (x^2 + 2x + 1)
= 2x^2 + 25x + 50 - x^2 - 2x - 1 combine like terms
= x^2 + 23x + 49
Answer:
(x² + 23x + 49) units²
Step-by-step explanation:
(x + 10)(2x + 5) - (x + 1)²
(2x² + 20x + 5x + 50) - (x² + 2x + 1)
2x² + 25x + 50 - x² - 2x - 1
x² + 23x + 49
Answer:
a = -21
Step-by-step explanation:
Multiply the equation by the reciprocal of the coefficient of 'a'.
(-7/6)(-6/7)a = (-7/6)(18)
a = (-7)(18/6) = (-7)(3)
a = -21
Answer:
I think the answer is a=-1/21