1. A
2. A
3. 144 in^2
4. 128 cm^2
5. 169 cm^2
Answer:
Rise = 0
Run = 4
Slope = 0
Step-by-step explanation:
Slope of straight line =
Since, given line is passing through two points (-2, -3) and (2, -3),
Rise of the line = -3 - (-3) = 0
Run of the given line = 2 - (-2) = 4
By substituting these values of rise and run in the formula,
Slope =
= 0
Therefore, Rise = 0
Run = 4
Slope = 0
Note: Slope of a line parallel to the x-axis is zero.
Slope of a line parallel to y-axis is not defined.
Answer:
If two figures are similar, then the correspondent sides are related by a constant factor.
For example, if the base of one side of one of the figures has a length L, then the correspondent side of the other figure has a length k*L where k is the scale factor.
Let's start with the two left triangles.
In the smaller one the base is 5, and the base of the other triangle is 15.
Then we will have:
15 = k*5
15/5 = k = 3
The scale factor is 3.
Then we will have that:
a = scale factor times the correspondent side in the smaller triangle:
a = k*3 = 3*3 = 9
a = 9
For the other two triangles, the base of the smaller triangle is 12, while the base of the larger triangle is 20.
Then we will have the relation:
12*k = 20
k = (20/12) = 10/6 = 5/3
The scale factor is 5/3
This means that the unknown side b is given by:
b*(5/3) = 15
b = (3/5)*15 = 3*3 = 9
b = 9.
If the 3 numbers are in the ratio of 1:3:5, then all together,
they make (1 + 3 + 5) = 9 parts.
Since 72 has been split up into 9 parts, each part is (72 / 9) = 8 .
So the numbers are
1 part . . . . 1 x 8 = <em>8</em>
3 parts . . . 3 x 8 = <em>24</em>
5 parts . . . 5 x 8 = <em>40</em>
<u>Check:</u>
8 / 8 = 1
24/8 = 3
40/8 = 5
8 + 24 + 40 = 72 yay !
and a shout-out to Silversoul, who has so graciously
given me so many chances to fix my typos.