Answer:
Correct options,
a) 
c) 
and ∠A = ∠X
Step-by-step explanation:
Given : ΔABC ≅ Δ XYZ
We have choose out of given options that correctly prove that ΔABC ≅ Δ XYZ
Two triangles are said to be similar when their corresponding sides are in same ratio and the measure of their corresponding angles are equal.
That is 
and ∠ A = ∠X , ∠ B = ∠Y AND ∠C = ∠Z
Also ,
We have conditions for two triangle to be similar.
1) SSS : When the ratio of all the three sides of a triangle are equal.
that is
2) SAS: When the ratio of two corresponding sides are equal and the measure of angle between those sides are equal
and ∠ A = ∠X
Thus, Out of given options,
a)
c) and ∠A = ∠X
3/4, 5/8 = 6/8, 5/8
3/4, 1/12 = 9/12, 1/12
1/6, 5/24 = 4/24, 5/24
2/9, 1/6 = 4/18, 3/18
1/4, 3/7 = 7/28, 12/28
1/12, 7/24 = 2/24, 7/24
2/5, 1/2 = 4/10, 5/10
1/16, 3/8 = 1/16, 6/16
8/9, 1/5 = 40/45, 9/45
Answer:
216 I think this is the answer
Step-by-step explanation:
Answer:
(4, 4) is the solution to both lines A and B.
Step-by-step explanation:
The solution to a system of equations is the point at which the two lines intersect. Lines A and B intersect at point (4,4). This means (4,4) is the point which makes both equations true for the same values. The correct answer is "(4, 4) is the solution to both lines A and B."
Answer:
-3x - 7y = 36
Step-by-step explanation:
The given line -3x - 7y = 10 has an infinite number of parallel lines, all of the form -3x - 7y = C.
If we want the equation of a line parallel to -3x - 7y = 10 that passes through (-5, -3), we substitute -5 for x in -3x - 7y = 10 and substitute -3 for y in -3x - 7y = 10:
-3(-5) - 7(-3) = C, or
15 + 21 = C, or C = 36
Then the desired equation is -3x - 7y = 36.
