HELP!! !WILL GIVE BRAINLIEST!!We are given that XY is parallel to ZW. If XZ is a transversal that intercepts XY and ZW, angle __
__and angle ____are alternate interior angles. Since XY is parallel to ZW, we know that these angles are ____. We also know that angle XVY and angle ZVW are _____angles, and thus congruent. We can conclude that △XYV ~ △ZWV using the ____ similarity theorem.
2 answers:
Answer:
Step-by-step explanation:
From △XYV and △ZWV, we have
∠YXZ=∠WZX (Alternate interior angles)
∠XVY=∠ZVW(Vertically opposite angles)
By AA rule,
△XYV is similar to △ZWV.
We are given that XY is parallel to ZW. If XZ is a transversal that intercepts XY and ZW, ∠YXZ=∠WZX (Alternate interior angles), Since XY is parallel to ZW, we know that these angles are congruent. We also know that angle XVY and angle ZVW are Vertically opposite angles and thus congruent. We can conclude that △XYV ~ △ZWV using the AA similarity theorem.
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Here we are given the inequality:
Let us check for each ordered pair that satisfies the given inequality.
1. (3,0)
LHS: y
here y is 0.
So LHS is 0.
RHS: 4x-5
plugging x as 3,
4(3)-5 = 7
0≥7
False
So (3,0) does not satisfy the inequality.
2. (1,1)
LHS: y
here y is 1.
So LHS is 1.
RHS: 4x-5
plugging x as 1,
4(1)-5 = -1
1≥-1
True
So (1,1) satisfy the inequality.
1. (3,4)
LHS: y
here y is 4.
So LHS is 4.
RHS: 4x-5
plugging x as 3,
4(3)-5 = 7
4≥7
False
So (3,4) does not satisfy the inequality.
1. (2,1)
LHS: y
here y is 1.
So LHS is 1.
RHS: 4x-5
plugging x as 2,
4(2)-5 = 3
2≥3
False
So (2,1) does not satisfy the inequality.
Answer: (1,1) is the solution of the given inequality.