The answer:
according to the image, the main theorem concerning right triangle similarity is as follow:
the altitude to the hypotenuse of a right triangle divides the triangle into two triangles that are similar to the original triangle and each other,
in our case, KL is the altitude, and by applying theorem, we get three triangles that are similar:
therefore:
<span>△JKL ~ △JKM
</span><span>△JKM ~ △JKM
</span><span>△JMK ~ △KML</span>
There are 145 total pieces . you must first convert 20% to a decimal by placing a decimal point two places from the right. 20% = .20
then you mulitiply 145 x .20 = 29
So, Cathy owns 29 pieces of yellow clothing.
Answer:
B
Step-by-step explanation:
The correct answer is B
GK = 5 and KF = 5
5/5 = 1
HJ = 3
JG = 3
HJ/JG = 1
9514 1404 393
Answer:
(8.49; 225°)
Step-by-step explanation:
The angle is a 3rd-quadrant angle. The reference angle will be ...
arctan(-6/-6) = 45°
In the 3rd quadrant, the angle is 45° +180° = 225°.
The magnitude of the vector to the point is its distance from the origin:
√((-6)² +(-6)²) = √(6²·2) = 6√2 ≈ 8.4859 ≈ 8.49
The polar coordinates can be written as (8.49; 225°).
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<em>Additional comment</em>
My preferred form for the polar coordinates is 8.49∠225°. Most authors use some sort of notation with parentheses. If parentheses are used, I prefer a semicolon between the coordinate values so they don't get confused with an (x, y) ordered pair that uses a comma. You need to use the coordinate format that is consistent with your curriculum materials.
Answer:
Given - Radius of ring is 9 millimeters
To find - Circumference
Solution -
9 millimeters = 0.9 centimeters
Circumference of circle = 2 × pie × r
= 2 × 3.14 × 0.9
= 6.28 × 0.9
= 5.652