Answer:
a. two column proof
Step-by-step explanation:
This is a two column proof, for 2 columns are given to you.
One column is the "Statements" column, which lists everything in mathematical terms.
The other column is the "Reasons" column, which lists everything by definition (either Theorem, Postulate, or Definition).
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Answer:
- <u><em>The name of the quadrilateral is</em></u><u> isosceles trapezoid.</u>
Explanation:
1) The two parallel sides of different legths 
and 
constitute the bases of a trapezoid.
2) The two equal anglesare the base angles of the trapezoid, and mean that it is an isosceles trapezoid.
An isosceles trapezoid is truncated isosceles triangle.
The definition of trapezoid is a quadrilateral with at least two parallel sides.
The drawing is attached: only the green lines represent the figure, the dotted lines just show how this is derived from an isosceles triangle.
Answer: 6 hours
Step-by-step explanation: If you write an equation for this scenario it would be y = 12+3x. 12 is the starting value and x represents how many hours the bike is rented, therefore 3 dollars would be added to the initial 12 each hour. So if Lucy spent $30 then it would change to 30= 12+3x. Now you essentially just need to work backwards. Rearrange the equation and move 12 to the left of the equal sign to make 30-12=3x. Combine vairable to make 18=3x. Divide 3x by 3 to isolate x and divide 18 by 3 as well to make it even. This looks like 18/3=3x/3. Meaning it would end up as 6=x.
Step-by-step explanation:
We know that m∠1 is 110°. If we look at m∠7 closely, we can see that while m∠1 is an obtuse angle (greater than 90° but less than 180°), m∠7 is an acute angle (less than 90°).
Now, we can eliminate 110° and 180° since we know that m∠7 is an acute angle. There are only 2 choices now: 40° or 70°.
If you flip the image around, you can see that the angle is slightly less than 90°, so it has to be 70°.
Answer:
2) 70°
