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.
Answer:
<u>The correct answer is D. x + 5≤ - 4</u>
Step-by-step explanation:
Let's review which inequality has - 12 in its solution set, this way:
A. x + 6 less-than negative 8
-12 + 6 < - 8
-6 < - 8 Not correct
B. x + 4 greater-than-or-equal-to negative 6
- 12 + 4 ≥ - 6
- 8 ≥ - 6 Not correct
C. x minus 3 greater-than negative 10
- 12 - 3 > - 10
<u>- 15 > - 10 Not correct</u>
D. x + 5 less-than-or-equal-to negative 4
- 12 + 5 ≤ - 4
- 7 ≤ - 4 This is correct
<u>The correct answer is D. x + 5≤ - 4</u>
Answer:
hope you don't mind but im using this for points
Answer:
15
Step-by-step explanation:
-3x = -5-10
-x=-15
therefore, x=15
Answer:
158.1
Step-by-step explanation:
Distance is the square root of (x1-x2)^2+(y1-y2)^2
square root of (-4-146)^2+(2-52)^2
square root of 150^2+50^2
square root of 22500+2500
square root of 25000
50sqrt10
Rounding is 158.1
