Denise is constructing A square in which two of its vertices are points M and N. She has already used her straightedge and compa
ss to construct the lines and arcs shown.
What should Denise do for her next step?
A) use a straightedge to draw a horizontal line that contains point O.
B) use a straightedge to draw MO.
C) place the point of the compass on point M and draw any arc above it.
D) place the point of the compass on point N and draw an arc that intersects N O, using MN as the width for the opening of the compass.
What should Denise do for her next step?
A) use a straightedge to draw a horizontal line that contains point O.
B) use a straightedge to draw MO.
C) place the point of the compass on point M and draw any arc above it.
D) place the point of the compass on point N and draw an arc that intersects N O, using MN as the width for the opening of the compass.
2 answers:
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Answer:
One Angle = 110°
Other Angle = 70°
Step-by-step explanation:
A linear pair means that two angles are in a straight line (or, a straight angle).
A straight line is 180 degrees.
THey are supplementary.
We can say one angle is "a" and another one is "b".
<em>One angle is 10 MORE THAN 2/3rds of the other, we can write:</em>
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<em>Also, since they are supplementary (add up to 180), we can write:</em>
<em>a + b = 180</em>
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We can now substitute 1st equation in this one and find b:
Since a + b = 180, we can write:
a + 110 = 180
so,
a = 180 - 110
a = 70
Thus,
One Angle = 110°
Other Angle = 70°
It translates to which solves to
after dividing both sides by 78. This means n is equal to 4 or it can be larger than 4.