A plot of land has been surveyed for a new housing development with borders AB, BC, DC, and DA. The plot of land is a right trap
ezoid with a height of 60 feet and an opposite leg length of 65 feet. If the measure of angle BCD is 61°, the measure of angle ABC is °. If the length of base AB is 80 feet, the length of DC is feet.
Answers are 119, and 105 on e2020
Answers are 119, and 105 on e2020
2 answers:
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
You might be interested in
Answer:
<h2>41.74 m²</h2>Step-by-step explanation:
We have:
rectangle 4.8 m × 3.8 m
two triangles with base b = 4.8 m and height h = 2.6 m
two triangle with base b = 3.8 m and height h = 2.9 m.
The formula of an area of a rectangle l × w:
Substitute:
The formula of an area of a triangle:
Substitute:
The Surface Area:
Answer:
1/2
Step-by-step explanation:
There are exactly 6 shaded regions; for every shaded region, there is also an unshaded region -- making this value 6 as well.
There are 12 possible outcomes, and 6 events
To determine probability, we divide the number of events by the number of possible outcomes, like this:
.50 = 50% or 1/2 chance.
#SpreadTheLove