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.
Line perpendicular to a given line is = 1/m
To find m, use m =y2-y1/x2-x1 formula
m = (8-(-3))/(-7-4)
m = 11/-11,
m = -1
Use y= mx+c to find equation of line
Plug in a pair of values,
-3= -1(4)+ c
c= 1
Thus, equation is:
y = -x+1
Equation of line perpendicular to this line is:
y= x+1
Hope it helps :)
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Answer:
3 times 4 over 5 equals 2.4
Step-by-step explanation:
X = 3
y = 1
You can get this by adding straight through and the y terms will cancel. Then divide the x terms to get the answer. You can then plug that x into either equation to solve for y.
