A = 54 because alternate interior angles
b = 72 because 54+54=108 and 180-108=72
c = 108 because b and c are supplemental angles
d = 72 because b and d are corresponding angles
e = 162 because 72+90=162 and definition of a straight line
f = 18 because definition of a straight line
g = 81 because definition of an isosceles triangle
h = 49.5 because vertical angles and definition of an isosceles triangle
i = 130.5 because definition of a straight line
j = 31.5 because 49.5-18=31.5
k = 99 because corresponding angles
bcegk = 540
3x-16x-24=-12x-30
-13x+12x=-30+24
-x=-6 /*(-1)
x=6
T=8√t
T=temperature
t=time in minutes.
If T=48, we have to calculate the time.
48=8√t
(48)²=(8√t)²
2304=64t
t=2304 / 64=36
answer: 48 degrees Celsius will be reached in 36 minutes.
<span>X - 2 > -3
x > -3 + 2
x > -1
A number line with an open circle -1, closed circle on 4 and shading in between.,when dividing/multiplying by a negative, the inequality sign changes. An open circle is used when there is no equal sign involved. A closed circle is used when there is an equal sign involved. If it is greater then, shading goes to the right. If it is less then, shading goes to the left</span>
Answer:
X = 11
Step-by-step explanation:
Simplifying
X + 24 = 35
Reorder the terms:
24 + X = 35
Solving
24 + X = 35
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-24' to each side of the equation.
24 + -24 + X = 35 + -24
Combine like terms: 24 + -24 = 0
0 + X = 35 + -24
X = 35 + -24
Combine like terms: 35 + -24 = 11
X = 11
Simplifying
X = 11
