Answer:
<h2>
Yes, this is a right triangle.</h2>
Step-by-step explanation:
Hypotenuse always have the highest number than base and perpendicular.
Hypotenuse ( h ) = 15
Base ( b ) = 9
Perpendicular ( p ) = 12
Let's see whether the given triangle is a right triangle or not
Using Pythagoras theorem:

Plugging the values,

Evaluate the power

Calculate the sum

Hypotenuse is equal to the sum of perpendicular and base.
So , we can say that the given lengths of the triangle makes a right triangle.
Hope this helps..
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Answer:
$2,400
Step-by-step explanation:
We get 10% of 4,000 by dividing 4,000 by 10.
4,000 ÷ 10 = 400
To get the amount that 4,000 is subtracted by we multiply 400 by 4.
400 × 4 = 1,600
To get the answer we subtract 4,000 by 1,600.
4,000 - 1,600 = 2,400
Hope I helped!
Answer:
m∠R = 60° and AB ≅ MQ
m∠Q = 56° and CB ≅ RQ
Step-by-step explanation:
Given data :
Prove ΔABC ≅ ΔMQR using SAS
The missing information to prove ΔABC ≅ ΔMQR using SAS
X^2+5x=2
you then solve by completing the square using the formula (b/2)^2 in order to create the new term. Solve for x by using this term to complete the square.
Your answer is then
x=-5/2+-√33/2
Let x and y be the rate per hour for Mechanic 1 and 2 respectively.
Then,
x+y=205 ---------- (1)
Additionally,
10x+15y = 2500 ------ (2)
Solving equations 1 and 2;
Multiply (1) by 10 and subtract two from the result,
10x+10y = 2050
10x +15 y =2500
----------------------
-5 y = --450 => y = 450/5 = $90
Then,
x= 205-90 = $115
Therefore,
Mechanic 1 charged $115 per hour
Mechanic 2 charged $90 per hour