Simplifying that expression will be
32m + 56mp = 8m (4 + 7p)
Answer: Choice A
The triangles are congruent because both the corresponding sides of the triangles and the corresponding angles of the triangles are congruent.
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Explanation:
Congruent triangles are identical copies of one another. This means the corresponding pieces must be the same.
It's like saying two houses are identical, so that means the all the various parts (eg: front door, windows, etc) must be identical. If let's say the two front doors were different, then the houses wouldn't be completely identical.
Going back to the triangles, we know that the sides are congruent by the tickmarks
- side MN = side RS (single tickmark)
- side NP = side ST (double tickmarks)
- side MP = side RT (triple tickmarks)
That takes care of the first part of choice A.
And similarly, the angle markers tell us which angles are congruent
- angle M = angle R (single arc)
- angle N = angle S (90 degree angle marker)
- angle P = angle T (double arc)
That concludes the second part of choice A.
Answer:
12 times the August rainfall
Step-by-step explanation:
The total of 12 of the same value is 12 times that value. Multiply the August average by 12 to get your answer.
percent ---------------- quantity
Acid type I 60.00% ---------------- x liters
acid type II 30.00% ------ 60 - x liters
Mixture 40.00% ---------------- 60
Total 60 liters
60.00% x + 30.00% ( 60 - x ) = 40.00% * 60
60 x + 30 ( 60 - x ) = 2400
60 x + 1800 - 30 x = 2400
60 x - 30 x = 2400 - -1800
30 x = 600
/ 30
x = 20 liters 60.00% Acid type I
40 liters 30.00% acid type II
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