Answer:
m∠ABC = 119° and DC = 105 feet
Step-by-step explanation:
For better understanding of the solution see the attached figure of the trapezium ABCD :
m∠BCD = 61°
By using the property, Sum of interior opposite angles in a trapezium is supplementary ⇒ m∠BCD + m∠ABC = 180°
⇒ m∠ABC = 180° - 61°
⇒ m∠ABC = 119°
Now, to find length of DC,
Draw a perpendicular BE on CD ⇒ CD = DE + EC
AB = DE
⇒ DE = 80 feet
In ΔBEC, By using Pythagoras theorem
EC² = BC² - BE²
⇒ EC² = 65² - 60²
⇒ EC = 25 feet
Hence, DC = 80 + 25
= 105 feet
Answer:
Step-by-step explanation:
.
Answer as an improper fraction = 13/8
This is equivalent to the mixed number 1 & 5/8
In decimal form, 13/8 = 1.625
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Work Shown:
3/4 = (3/4)*(2/2)
3/4 = (3*2)/(4*2)
3/4 = 6/8
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7/8 + 3/4
7/8 + 6/8
(7+6)/8
13/8
So 7/8 + 3/4 = 13/8
Answer:
-8 and 2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
We can find the slope of a line by using two points
(-2,1) and (2,-7)
The slope is given by
m = (y2-y1)/(x2-x1)
= (-7-1)/(2- -2)
= (-8)/(2+2)
= -8/4
=-2