Answer:
x || t, [Given]
[Given] ......[1]
Transversal defined as a line that cuts across two or more Parallel lines.
When two parallel lines are cut by a transversal, then the pairs of corresponding angles are equal in measure.
[Corresponding Angle theorem] ......[2]
Substitute value [1] in [2] we have;
[Substitution Property]
When two lines are cut by a transversal and the alternate exterior angles are equal in measure, then the lines are parallel.
k || w [ By Alternative Exterior Angle Theorem] Hence proved!
Answer:
Yes.
Step-by-step explanation:
We know <S is congruent to <U. line segment ST is congruent to line segment UT. Also, the line going through T( line segment RV) makes 2 congruent angles. <STU and < UTV are congruent. So triangle RST is congruent to triangle VUT by ASA (angle side angle.)
Answer:
264
Step-by-step explanation:
44 + 44 + 44 + 44 + 44 + 44
88 + 88 + 88
174 + 88
264
Hope this helped! Please leave any questions or concerns in the comments byeee <3
Step-by-step explanation:
The original number is x.
The new number is 3x + 5.
We know that 0.5(3x + 5) = 16, so 3x + 5 = 32.
3x + 5 = 32, 3x = 27, x = 9.
Hence the original number is 9.
