All the angles required to complete each sentence are:
- m ∠ 4 = 60, m ∠ 2 = 120
- m ∠ 3 = 110, m ∠ 4 = 70
- m ∠ 2 = x, m ∠ 1 = 180 - x
<h3>How to find measures of missing angles by Euclidean geometry</h3>
In this question we must take advantage of definitions and theorems of Euclidean geometry to complete the three sentences seen in the figure. Now we proceed to present each sentence completed in detail:
- If m ∠ 5 = 60, then m ∠ 4 = 60 by <em>alternal internal</em> angles between <em>parallel</em> lines and m ∠ 2 = 120 by <em>supplementary</em> angles.
- If m ∠ 7 = 110, then m ∠ 3 = 110 by <em>corresponding</em> angles between <em>parallel</em> lines and m ∠ 4 = 70 by <em>supplementary</em> angles.
- If m ∠ 6 = x, then m ∠ 2 = x by <em>corresponding</em> angles and m ∠ 1 = 180 - x by <em>supplementary</em> angles.
To learn more on angles: brainly.com/question/7116550
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<span> He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x2, –x, –6x, and 6.</span>
Formula for area of parallelogram:
A= Base x Height
Here Area, A= 18 1/3 ft²
Height, H=3 1/3 ft
Convert the mixed number into improper fraction.
18 1/3 = 55/3
and 3 1/3= 10/3
Put values in formula to get the length of base.
55/3=B x 10/3
Multiply both sides by 3.
55=10B
Divide both sides by 10.
55/10=B
or
B=11/2 ft
or
B= 5 1/2 ft
Answer: Base of window is 11/2 ft or 5 1/2ft
Answer:
x=-2, y=2
Step-by-step explanation:
-8x +4y=24
-7x+7y=28
substitute 4y=24+8x
y=6+2x in second equation and hence we find X=-2
put value of X in either equation and get value of y=2