<u>Given</u>:
Given that the figure of similar triangles.
The altitude of the triangle is x.
The length of the left part is 30.
The length of the right part is 15.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the geometric mean theorem.
Thus, we have;

Substituting the values, we have;

Cross multiplying, we get;


Taking square root on both sides, we have;

Thus, the value of x is 15√2
Answer:
$12.80
Step-by-step explanation:
Before markup: $8
After markup: $8 x 160% = $12.80
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Answer:
Nominal data are used to label variables without any quantitative value. Common examples include male/female (albeit somewhat outdated), hair color, nationalities, names of people, and so on. In plain English: basically, they're labels (and nominal comes from "name" to help you remember). You have brown hair (or brown eyes).
Answer: 1,2,3, and 5
Step-by-step explanation:
The isometries that preserve a shapes angles and line segments making the pre image congruent to the (post) image are :
Reflections, rotations, translations
These are rigid transformations. Think of your ruler. If you flip it, slide it, or rotate it around, did the ruler change shape? No. Just positions.
If you dilate something, you are either making it larger or smaller, therefore changing the size of the shape.
Anything that has dilation in its transformation does not have congruent shapes.
46
Step-by-step explanation:
all angles must add to 180
32+102= 134
180-134= 46
correct me if im wrong:)