By ASA postulate it can be say that the triangle ABC and triangle MRQ are congruent
<h3>What is Angle Sum Property?</h3>
The sum of all three angles(interior) of a triangle is 180 degrees, and the exterior angle of a triangle measures the same as the sum of its two opposite interior angles.
Using Angle Sum Property, in ΔMRQ
<M + <R + <Q= 180
<M + 42 + 85 = 180
<M = 180 -42
<M= 53°
Now, In ΔMRQ and ΔABC
<A= <R ,
<B = <M
AB = MR
Hence, By ASA criteria ΔMRQ ≅ ΔABC
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Answer:
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- <u>She should aim 6 feet down the wall</u>
Explanation:
The diagram attached sketches the situtation.
Since the angle with which the ball hits the wall is the same with which it bounces, angle β is the same for the two shown triangles.
Then, since both are right triangles, then all the angles are congruent and the triangles are similar. Hence, you can equal the ratios of the sides, to make an equation:
You have other equation:
Substitute
- 2y + y = 18
- 3y = 18
- y = 18/3
- y = 6 ← this is the distance down the wall where the ball should hit
Then, she should aim 6 feet down the wall.
Answer:
answers below
Step-by-step explanation:
1)5000
2)6450
3)50
4)30
5)1500
please make brainliest hope this helps
Answer:
=10
Step-by-step explanation:
5x-4x². (x=2)
5(2)-4(2)²
=10-0
=<em>1</em><em>0</em>
Answer:
The equation would be Y= -7/2x + 7
Step-by-step explanation:
With the points given (0,7) and (2,0) we find our slope which is: -7/2. We know that our change in the y values is -7 and the change in our x values is +2. Y IS ALWAYS OVER X SO WE GET -7/2.
To find our y intercept you just look at the graph of where there's a point on the y line. For example (0,7) the 7 would be our y intercept.
So we get Y= -7/2x +7
The slope is ALWAYS put next to the variable x.
Hope this helps! :)
(Side Note: You look at the graph from left to right, so our first point would be (0,7)!)
