Answer:
80 degrees
Step-by-step explanation:
First find the the angles N and L:
5x=3x+40
2x=40
x=20
m<N= 100 m<L=100
Now we know that the sum os all Interior angles of a parallelogram is 360
and you know that opposite sides are equal
hence,
2y= 360-2(100) y being angle M (or o)
2y= 160
y=80
Answer:
Options 2), 4), and 5) are correct
Step-by-step explanation:
<u>Rock the House Digital Designs</u>
<u>Elegant Home Architects</u>
===========================
<u>Answer options:</u>
1)The expression 50h represents the total charge for Rock the House Digital Designs.
-
Incorrect. Additional $500 charged.
2)The expression 75h represents the total charge for Elegance Home Architects.
3)The expression 500 + 75h + 50h represents the total amount the Nelsons will spend working drawings of their new house plans.
-
Incorrect. They will choose one of the options.
4)If the Nelsons hire the design firm for 15 hours, then Elegance Home Architects will be cheaper.
-
Correct. It will cost 15*75 = $1125. Alternative costs 500 + 50*15 = $1250
5)If the Nelsons hire the design firm for 25 hours, then Rock the House Digital Designs will be cheaper.
- Correct. It will cost 500+25*50 = $1750. Alternative cost is 25*75 = $1875
Answer:
-60 3/4m
Step-by-step explanation:
The diver first dives down 50 1/4m, which is represented by the -50 1/4m. He then descends another 10 1/2m down. So -50 1/4m - 10 1/2m.
-50-10=-60
-(1/4)-(1/2)= (1/4)+(1/2)
(1/4+1/2)=(2/8+4/8) you can only add with the same denominators.
=6/8 (simplifies down to 3/4)
Answer:
Length of the ladder used by worker = 17 feet
Step-by-step explanation:
Given:
Height of the window from the ground = 13 ft
Distance of fence from the building = 3 ft
Distance of ladder from the building = (3+8) = 11 ft
We have to find the length of the ladder.
Let the length of the ladder be 'x'
From the diagram we can also say that 'x' is the hypotenuse of the right angled triangle.
Using Pythagoras formula:
⇒ 
Here base length = 11 ft
Perpendicular = 13 ft
Plugging the values:
⇒ 
⇒ 
⇒ 
⇒ 
feet
The length of the ladder = 17 feet to its nearest tenth.
Answer: 23%
explanation:
4 + 6 + 2 + 2 + 3 + 4 + 6 + 3
There are total of 30 students.
4 + 3
7 students are freshman.
Find the percentage.
7/30 × 100
700/30 = 23.333333...
Round to nearest whole percent.
⇒ 23%
