42 point!!!!! Help me answer the question Find z Compute the m Compute the m
1 answer:
Answer:
z = 110°
w = 80°
x = 0°
Step-by-step explanation:
Start with the 100° angle. The vertical angle is also 100°. Supplementary angles add up to 180°, so the angle beside it is 80°.
External angles equal the sum of the opposite internal angles, so the other internal angle is 50°. The angle supplementary to that is 130°.
The angle supplementary to the 120° angle is 60°. Angles of a quadrilateral add up to 360°, so the remaining angle is 70°. This angle is supplementary to z, so z is 110°.
TUVW is a parallelogram (a quadrilateral where opposite angles are congruent). Therefore, angle W is 80°. (You could also use the fact that angles of a quadrilateral add up to 360°.)
Angles of a quadrilateral add up to 360°, so:
90 + 84 + 2x + 118 + 2x + 68 = 360
4x + 360 = 360
4x = 0
x = 0
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The correct answer is: [B]: " 9.6 cm " .
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Explanation:
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Let "FH" = "x" ; for which we wish to solve.
45 cm / 12 cm = 36 cm / "x" (in "cm") ;
To solve for "x" ;
Cross--multiply:
Note: Given:
"
" ; " ad = bc " ; (b ≠ 0 ; d ≠ 0) ;
So: " 45x = 12 * 36 " ;
→ 45x = 432 ;
Divide each side of the equation by "45" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
→ 45x / 45 = 432 / 45 ;
→ x = 9.6 cm ;
___________________________________________________________
→ which corresponds with:
___________________________________________________________
→ Answer choice: [B]: " 9.6 cm " .
___________________________________________________________
Hope this answer — and explanation — helps!
Best wishes in your academic pursuits!
___________________________________________________________
____________________________________________________________
Explanation:
____________________________________________________________
Let "FH" = "x" ; for which we wish to solve.
45 cm / 12 cm = 36 cm / "x" (in "cm") ;
To solve for "x" ;
Cross--multiply:
Note: Given:
"
So: " 45x = 12 * 36 " ;
→ 45x = 432 ;
Divide each side of the equation by "45" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
→ 45x / 45 = 432 / 45 ;
→ x = 9.6 cm ;
___________________________________________________________
→ which corresponds with:
___________________________________________________________
→ Answer choice: [B]: " 9.6 cm " .
___________________________________________________________
Hope this answer — and explanation — helps!
Best wishes in your academic pursuits!
___________________________________________________________
Answer:
x=2.5 ; y=-1.5
Step-by-step explanation:
Explaination in picture
