Answer:
first one: 53°
Second one: reflective property of congruence <-(I'm not sure on this one but it seems like it)
Step-by-step explanation:
First one:
The measure of every triangle is 180°
we have to find that missing angle
so 180-53-74=53°
If its harder to understand you can make angle E x and solve 180=x+53+74
For the second one:
The reflexive property of congruence states that any geometric figure is congruent to itself.
This means that even same line segments and be congruent because of this property.
I hope this helped
Problem One
Pretty nice little application problem. The thing to do is compare money with money and cubic yards with cubic yards.
Givens
1 cubic yard costs 98 dollars.
x cubic yards costs 72.59 dollars.
1 cubic yard = 3*3*3 = 27 cubic feet.
Length = 10 feet
Height = 3/12" = 1/4 foot.
Solve
27 cubic feet / 98 dollars
x cubic feet / 72.56 Cross multiply
98x = 27* 72.56
x = 27 * 72.56 / 98
x = 19.99 cubic feet.
L * W * H = 19.99 cubic feet (call it 20. We're going to be rounding anyway.
10*1/4*W= 20
H = 4 * 20/10 = 8 feet which is what you had. <<<< Answer
We agree so either both of us are wrong or we are both right. I'm an optimist. I choose to believe we are both right.
Problem Two
When you get the answer correct, there is not much to add. I would agree with what you wrote. There is one note that you should observe. Be very careful of answer A. That is a snake in the grass. It's true it is a constant, but it is not a term. 0.25 is what is charged per day and it is just a coefficient of x.
Three times m,
so it would be three times the value of m.
To square something, you multiply a number by itself.
So the square of 1.1 is
which is equal to 1.21
The area of a square is the length of its side, squared. If a square lawn has area 338, then its side is sqrt(338) = 13sqrt2.
If the sprinkler covers all the way up to the corner of the lawn, we must use the Pythagorean theorem to calculate its radius. If the side of the square is 13sqrt2, then the diagonal of the entire square would be sqrt2*(side length) = sqrt2*13sqrt2 = 2*13 = 26 ft. Then the distance from the center to the corner would be half this diagonal, or 13 ft.
So the radius of the circle is 13 ft.
