Answer:
Not sure for 1. Area might be 144. Perimeter might be 50. I got perimeter by finding slant height of the parallelogram and then substituting it to the perimeter formula (P=2(a+b) where a is a side and b is a base). I found area by just multiplying 12*12 since to find area of parallelogram, it is base x height.
2. 45, 135, 135
Step-by-step explanation:
2. We know that an isosceles trapezoid has congruent base angles and congruent upper angles, so if one base angle measures 45 degrees, the other base angle will also be 45 degrees.
For the upper angles, we know that diagonal angles are supplementary, so 180- base angle 1 (45 degrees)= upper angle 1
180-45=upper angle 1
upper angle 1 = 135 degrees
Mentioned above, upper angles are congruent, so upper angles 1 and 2 will be 135 degrees.
Check: The sum of angles in a quadrilateral is equal to 360 degrees. We can use this to check if our answer is correct.
135+135=270 degrees (sum of upper angles)
45+45= 90 degrees (sum of base angles)
270+90=360
So the angle measures of the other three angles are 135, 135, and 45.
Hope this helps!
Answer:
A cross section parallel to the base is a square measuring 4 cm by 4 cm.
A cross section perpendicular to the base through the midpoints of opposite sides is a square measuring 4 cm by 4 cm.
A cross section that passes through the entire bottom front edge and the entire top back edge is a rectangle measuring 4 cm by greater than 4 cm.
Step-by-step explanation:
Cross sections parallel and Perpendicular to the base are squares 4 × 4
The diagonal cross section will be a rectangle with base 4 and height
sqrt(4² + 4²) = 4sqrt(2) > 4
Answer:
Average rate of change is <u>0.80.</u>
Step-by-step explanation:
Given:
The two points given are (5, 6) and (15, 14).
Average rate of change is the ratio of the overall change in 'y' and overall change in 'x'. If the overall change in 'y' is positive with 'x', then average rate of change is also positive and vice-versa.
The average rate of change for two points 
is given as:
Plug in 
and solve for 'R'. This gives,
Therefore, the average rate of change for the points (5, 6) and (15, 14) is 0.80.
Answer:
first option
Step-by-step explanation:
I'm not really sure myself but I think the first option is the best option to choose because the others aren't really that true and if you look the angle c is much bigger than the other angles so I think the first option is more likely
