Answer:
W is either 4, 5, 6, or 7.
Step-by-step explanation:
Here, You need to apply "Proportionality Theorem"
According to this theorem, the ratio of components of a leg would be equal to the ratio of corresponding components of another leg.
In mathematical form,
TV/VS = TW/WU
Substitute their values,
14/6 = 21/(x+4)
14(x+4) = 21*6
14x+56 = 126
14x = 126-56
x = 70/14
x = 5
In short, Your Answer would be 5
Hope this helps!
Answer:
13. x = 7 ; Converse : Alternate interior angles are equal .
14. x=12; Converse used : Linear pair
15. x = 23; Converse: Corresponding angles are equal
Step-by-step explanation:
13.
Refer the attached figure
Given: q || r
(Alternate interior angles )
So, 15x+3=108
15x=108-3
15x=105

x=7
So, x = 7 ; Converse : Alternate interior angles are equal .
14.
Refer the attached figure
Given q||r
(Alternate interior angles
So,
Now
(Linear pair)
So,7x-8+11x-28=180
18x-36= 180
18x=216

x=12
So, x=12; Converse used : Linear pair
15.
Refer the attached figure
Given q||r

(corresponding angles)
90+2x=5x+21
90-21=5x-2x
69=3x
23=x
So, x = 23; Converse: Corresponding angles are equal
Answer:
<h3><u>x = 18</u></h3>
Explanation:
- Line E B C Needs To Equal 180°
3x + 5 + 3x + 4 + 3x + 9 = 180
- Simplify Both Sides Of The Equation
(3x + 3x + 3x) + (5 + 4 + 9) = 180( Combine Like Terms)
9x + 18 = 180
9x + 18 = 180
- Subtract 18 From Both Sides
9x + 18 − 18 = 180 − 18
9x = 162
Divide Both Sides By 9
9x / 9 = 162 / 9
<h3><u>x = 18</u></h3>