Answer:
First. 115°
Second. 65°
Third. 65°
Fourth. 7
Fifth. 425.25
First
angle DAB = angle ADC (since this is an isosceles trapezoid)
Second
In a trapezoid adjacent angle are supplmentary (that is their sum is 180°)
180-115 is 65°
Third
(Same reason as second)
Fourth
The side 3x+4 is same as the opposite side
So 3x + 4 = 25
on solving you get x = 7 in
Fifth
![area \: = \frac{1}{2} \times length \: of \: the \: perpendicular \: (b1 + b2)](https://tex.z-dn.net/?f=area%20%5C%3A%20%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%20length%20%5C%3A%20of%20%5C%3A%20the%20%5C%3A%20perpendicular%20%5C%3A%20%28b1%20%2B%20b2%29)
area = 1/2 × 13.5 (20+43)
area = 1/2 × 13.5 × 63
Thus area is 425.25
Step-by-step explanation:
yes
no
yes
yes
that is the correct answer
(4x4)3 – 103 The third choice is correct :)
We know that 15 elves represent the 20% of the total.
Since 20% is one-fifth, the total number of elves is
![15\cdot 5 = 75](https://tex.z-dn.net/?f=15%5Ccdot%205%20%3D%2075)
Alternatively, solve the proportion
![15\div x = 20\div 100](https://tex.z-dn.net/?f=15%5Cdiv%20x%20%3D%2020%5Cdiv%20100)
which yields
![x=\dfrac{1500}{20}=75](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B1500%7D%7B20%7D%3D75)