Answer:
1.8 miles
Step-by-step explanation:
For this case we can model the problem as a rectangle triangle.
We know:
Length of the sides of the triangle
We want to know:
Length of the hypotenuse
Using the Pythagorean theorem we have:
Then, the distance that he would have saved if he travels directly is:
Answer:
he would have saved:
1.8 miles
Answer:
Step-by-step explanation:
To complete the square, we first have to get our equation into 
form.
First we add 16x to both sides:
And now we subtract 62 from both sides.
We now have to add 
to both sides of the equation. b is 16, so this value becomes 
.
We can now write the left side of the equation as a perfect square. We know that x+8 will be the solution because 
and 
.
We can now take the square root of both sides.
We can now isolate x on one side by subtracting 8 from both sides.
So our solutions are
Hope this helped!
Answer:
X = 11
X = 7
Step-by-step explanation:
Part 1:
The measure of an inscribed angle is half the measure of an intercepted arc. So 1/2 mCE = m∠CDE
158 ÷ 2 = 79
You need to find x so you're going to set your equation of (8x - 9) = 79
Then you're going to add 9 to both sides to get 8x = 88
Divide both sides by 8 to get x = 11
Part 2:
We know that WY is 180 because it's a semicircle. Using this and the knowledge that ∠WXY is half the measure of the intercepted arc (180), we know that our equation should be (13x - 1) = 90
add 1 to both sides and our equation is (13x = 91)
Divide both sides by 13 and...
x = 7
Answer:
8:15 pm
Step-by-step explanation:
A concert starts by 7:00pm
They perform for 30 minutes
There is a 15 minutes break
The band performs for another 30 minutes
Hence the concert will end by 8:15 pm
Depends on how the papers are connected. if they are connected with the 7cm side joining each other, use solution one. if they are connected with the 9cm side joining each other, use solution two.
perimeter of edges of sign= 2 [(9x3)+7]
= 68 inches
left over= 144-68
= 76 inches
OR
perimeter of edges of sign= 2[(7x3)+9]
= 60 inches
left over= 144-60
= 84 inches
