Answer/Step-by-step explanation:
1. 7x + 2 = 5x + 22 (alternate interior angles are congruent)
Collect like terms
7x - 5x = -2 + 22
2x = 20
2x/2 = 20/2
x = 10
2. 13x - 6 = 10x + 24 (alternate interior angles are congruent)
Collect like terms
13x - 10x = 6 + 24
3x = 30
3x/3 = 30/3
x = 10
3. (12x + 26)° + 46° = 180° (same side interior angles are supplementary)
12x + 26 + 46 = 180
12x + 72 = 180
12x + 72 - 72 = 180 - 72
12x = 108
12x/12 = 108/12
x = 9
4. (5x + 5)° + 135° = 180° (same side interior angles are supplementary)
5x + 5 + 135 = 180
5x + 140 = 180
5x + 140 - 140 = 180 - 140
5x = 40
5x/5 = 40/5
x = 8
Answer:
when the radicand is negative
Step-by-step explanation:
Answer:
Option A)
Step-by-step explanation:
Remember that the volume of a rectangle is:
Where l is the length, w is the width and h is the height.
In the figure, these three dimensions are given as a function of the variable v.
Then the volume will be the product of the three expressions.
If we have the volume, the width and the length of the rectangle, then we find the height when we divide the volume by the product of the width and the length
The volume is:
The product of the width and the length is:
Now
we factor quadratic expressions
We use the quadratic formula to factor the expression
We also factor the quadratic function using the quadratic formula
So the height is
24 square inches. do the area of the whole rectangle (7x12) and subtract the two little rectangles (5X6) x 2= 60 so 84-60=24
1. x = 60°
Equivalent Triangle
2. x = 30°
Isosceles Triangle