A ratio stays equivalent when you multiply or divide the same thing to both numbers, just like fractions:
First of all, you can simplify it to
3:4 by dividing both numbers by 5.
Now you can multiply both numbers by 5 to get 75:100
Finally, you can multiply both numbers by 3 to get the ratio 45:60
A^2 + b^2 = c^2.....a and b are the legs and c is the hypotenuse
41^2 + 40^2 = c^2
1681 + 1600 = c^2
3281 = c^2...take sqrt of both sides, eliminating the ^2
sqrt 3281 = c
57.28 ...rounds to 57 = c
so the 3 sides of ur triangle are 57,41,and 40. The perimeter is all three sides added together. So the perimeter is : 57 + 40 + 41 = 138 ft <==
Step-by-step explanation:
F=ma
m=f/a
m=200÷5
m=40
Answer: 
Step-by-step explanation:
Vertical Angles states that 9x+27=117
Supplementary Angles states that 117+z=180
![9x+27=117\\Subtract (27)\\9x=90\\Divide(9)\\\left[\begin{array}{c}x=10\end{array}\right] \\\\117+z=180\\Subtract(117)\\\left[\begin{array}{c}z=63\end{array}\right]](https://tex.z-dn.net/?f=9x%2B27%3D117%5C%5CSubtract%20%2827%29%5C%5C9x%3D90%5C%5CDivide%289%29%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%3D10%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5C117%2Bz%3D180%5C%5CSubtract%28117%29%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dz%3D63%5Cend%7Barray%7D%5Cright%5D)
<em>Hope it helps <3</em>
Answer:
Option (C)
Step-by-step explanation:
Given:
In right triangles ΔAED and CEB,
m∠AED = m∠CEB = 90°
DE ≅ BE
AD ≅ BC
To prove:
ΔAED ≅ ΔCEB
Statements Reasons
1). m∠AED = m∠BC = 90° 1). Given
2). DE = BE 2). Given
3). AD = BC 3). Given
4). ΔAED ≅ ΔCEB 4). By HL theorem of congruence
Option (C) is the answer.
