Answer:
-0.5 and 5.5
Step-by-step explanation:
removing absolute value will yield two equation: 2.5-y=3 and 2.5-y=-3
solve for y in both case.
Answer:
$24
Step-by-step explanation:
160 * 0.15 = 24
Answer:
The Correct option is A) 8
The value of a is 8.
Step-by-step explanation:
Vertical Angles:
The angles opposite each other when two lines cross.
They are always equal.
∠ 2(3a-7)° and ∠ (5a-6)° are vertical angles.Hence are equal.
So on Substituting we get
Applying distributive property we get
The value of a is 8
The Correct option is A) 8
Answer:
123
Step-by-step explanation:
In a parallelogram, both pairs of opposite angles are congruent. Also, both pairs of opposite sides are parallel, meaning there are consecutive interior angles. Consecutive interior angles equal 180, so simply subtract 57 from 180 to find your missing angles.
Answer:
90 sq inches
Step-by-step explanation:
The lateral area is the side area of the pyramid. In this case, there are 3 sides because the base is a triangle. Since the base is an equilateral triangle, all sides are of equal dimensions. So, the sides of the pyramid are also all of the same size, area.
We then just have to figure out the area of one of the side triangles, then multiply it by 3 to get the total lateral area of that pyramid.
We know how to calculate the area of a triangle: A = (b * h)/2
In this case, b = 5 in, h = 12 in. So,
TA = (5 * 12)/2 = 60 / 2 = 30
Each side triangle has an area of 30 sq inches.
LA = 3 * TA (since there are 3 sides)
LA = 3 * 30 = 90 sq inches
