Answer:
Yes it is a right triangle.
Step-by-step explanation:
Because the Pythagorean Theorem states that 
Answer:
m<ABC=94°
m<BCD=25°
m<ACB=43°
Step-by-step explanation:
To find <mBCD
m<ABD=133°, so m<CBD=133° too.
A triangle is equal to 180°.
22°+133°=155°
80°-155°=25°
To find <mACB
You first need to know triangle ACD measurements.
m<ADC=44° (22°+22°)
Then you take the two 25 and add them.
25°+25°=50°
50°+44°=94°
180°-94°=86°
86°÷2=43°
To find m<ABC
43°+43°=86°
180°-86°=94°
Answer:
x=28
Step-by-step explanation:
We can use proportions to solve this problem. Put the side of the small triangle over the side of the large triangle.
x 42
------ = ----------
x+10 42+15
x 42
------ = ----------
x+10 57
Solve using cross products
57x = 42(x+10)
Distribute
57x = 42x+420
Subtract 42x from each side
57x-42x = 42x-42x+420
15x = 420
Divide by 15
15x/15 = 420/15
x=28
Converting units from feet to yards is easy. However, it becomes tricky when converting square yard to square feet but it is easy if you get the gist of it. Simply square both sides of the conversion:
Since 3 feet = 1 yard
(3 feet)^2 = (1 yard)^2
9 feet^2 = 1 yard^2
In the same way, if you want to convert from cubic feet to cubic yard, simply cube (raise to the power of 3) both sides. :)
Given that,
Colin buys a box of pasta that contains 823 cups of pasta.
He uses 212 cups to make dinner.
To find,
How much pasta is left?
Solution,
Left pasta = Total cups of pasta - used cups of pasta
= 823 - 212
= 611
Hence, 611 cups of pasta is left.
