<u>Answer:</u>
<u>Step-by-step explanation:</u>
- 10 + 4.5m = 21.25
- => 4.5m = 21.25 - 10
- => 4.5m = 11.25
- => m = 11.25/4.5
- => m = 2.5
<u>Conclusion:</u>
Therefore, m = 2.5
Hoped this helped.

Answer:
A) x = 12
Step-by-step explanation:
if its a right angle? then the angle in total is 90 degrees,
subtract the 35 from 90 to get 55 degrees,
4x + 7 = 55 solve this
4x = 48
x = 12
Answer:
21 cm
Step-by-step explanation:
Call the triangle ABC, with the right angle at B, the hypotenuse AC=25, and the given leg AB=10. The altitude to the hypotenuse can be BD. Since the "other leg" is BC, we believe the question is asking for the length of DC.
The right triangles formed by the altitude are all similar to the original. That means ...
AD/AB = AB/AC . . . . . . ratio of short side to hypotenuse is a constant
Multiplying by AB and substituting the given numbers, we get ...
AD = AB²/AC = 10²/25
AD = 4
Then the segment DC is ...
DC = AC -AD = 25 -4
DC = 21 . . . . . centimeters
Answer:
-19/36
Step-by-step explanation:
We can find the slope using
m = ( y2-y1)/(x2-x1)
m = ( 94-56)/( 28 -100)
= 38 / -72
= -19/36
Angle W:
180 = 90 + 57 + W
180 = 147 + W
W = 33 degrees
Using trigonometry functions to find the side lengths. (SOH CAH TOA)
Side XZ:
cos(57) = XZ / 18
XZ = cos(57) x 18
XZ = 9.8 units
Side XW:
sin(57) = XW / 18
XW = sin(57) x 18
XW = 15.1 units
Hope this helps!! :)