Since <em>l</em> and <em>m</em> are parallel, the unlabeled angle adjacent to the 63° one also has measure (7<em>x</em> - 31)° (it's a pair of alternating interior angles).
Then the three angles nearest line <em>m</em> are supplementary so that
(7<em>x</em> - 31)° + 63° + (5<em>x</em> - 8)° = 180°
Solve for <em>x</em> :
(7<em>x</em> - 31) + 63 + (5<em>x</em> - 8) = 180
12<em>x</em> + 24 = 180
12<em>x</em> = 156
<em>x</em> = 13
The bottom-most angle labeled with measure (4<em>y</em> + 27)° is supplementary to the angle directly adjacent to it, so this unlabeled angle has measure 180° - (4<em>y</em> + 27)° = (153 - 4<em>y</em>)°. The interior angles of any triangle have measures that sum to 180°, so we have
(7<em>x</em> - 31)° + 63° + (153 - 4<em>y</em>)° = 180°
We know that <em>x</em> = 13, so 7<em>x</em> - 31 = 60. Then this simplifies to
123° + (153 - 4<em>y</em>)° = 180°
Solve for <em>y</em> :
123 + (153 - 4<em>y</em>) = 180
276 - 4<em>y</em> = 180
96 = 4<em>y</em>
<em>y</em> = 24
=> 4(7)–2(7+a)=8
<h3>=>28–14
<em>–</em>2a=8</h3><h3>=>14–2a=8</h3><h3>=>-2a=8–14</h3><h3>=>
<em>-</em>2a=-6</h3><h3>
<em>=>a=3</em></h3>
No, as Anglel has 0.5 yards and Lynn has 0.75 yards
Answer:
24 to 18 is 0.75
5 to 1 is magic ratio
Step-by-step explanation:
For 5 to 1 I think is magic ratio or 17% in percentage
Hello!
Question 6:
To find the area of the pennant, we need to multiply the length by the width.
12 x 18 = area
12 x 18 = 216
The answer is 216 square inches.
Question 7:
The perimeter of the square is 24cm and the area is 36 square cm.
The perimeter of the rectangle is 30cm and the area is 50 square cm.
They have different perimeters and different areas.
I hope this helps you! Have a great day!
-Mal
