Answer:
x=14
Step-by-step explanation:
1.subtract 72 from 86
2. add 3 to -2
3. get the X on one side
Answer:
1. Axis of Symmetry: x=-4, Vertex: (-4, -6)
2. Axis of Symmetry: x=2, Vertex: (2, 8)
Step-by-step explanation:
Answer:
Step-by-step explanation:
given.quesion.
The length of a rectangle is decreased by 25% and the width has increased by 40% calculate the percentage change in the area of the rectangle
to. find.
area of the rectangle
given
decreased. 25•/•
increased.40•/•
solusion
Length = L
Breadth = B
Original area = L x B
New area = A = L x (1 - 25%) x B x (1 + 40%)
A = L x B x 0.75 x 1.40 = L x B x 1.05
Therefore the area of the rectangle has increased by 5%.
required answer.
5•/•
answer. with. explamation. in. attachment.
hope. it's. helps. you.
Answer:
7.5 rating points
Step-by-step explanation:
The computation of the rating for Men 18-34 for program X is shown below:
Given that
Number of men 18 -34 watched a program X = 15,000 = X
Number of men 18 - 34 watched in a same time = 32,000
And, the total households in the market = 200,000 = Y
So, the rating for men 18-34 for program x is
= 7.5 rating points
We simply applied the above formula
Answer:
II, III, and IV
Step-by-step explanation:
Define:
Similar polygons:
- Corresponding angles are equal
- Corresponding sides are in a constant proportion
Congruent polygons:
- Corresponding angles are equal
- Corresponding sides are equal
Let's break each statement down one-by-one:
<u>I. Corresponding sides of similar figures are the same.</u>
False - Corresponding sides of similar figures are in a constant proportion, but not necessarily the same. <em>Congruent</em> figures have equal corresponding sides, but similar figures only have their corresponding sides in a constant proportion.
<u>II. Corresponding sides of congruent figures are the same.</u>
True - By definition, corresponding figures have equal sides and angles. Therefore, this statement is true.
<u>III. Corresponding angles of congruent figures are the same.</u>
True - By definition, corresponding figures have equal sides and angles. Therefore, this statement is true.
<u>
</u>
<u>IV. Corresponding angles of similar figures are the same.</u>
True - While corresponding sides of similar figures may not be the same, their angles are. This is what gives them the similar characteristic. All similar polygons have equal angles, therefore this statement is true.
