Answer:
115.2
Step-by-step explanation:
First we make an equation and replace blank with x.
Look at photos to see solution.
Check the picture below.
notice that, through to meet all those tests, the triangles need to only have two sides that are congruent all the while.
keeping in mind is a right-triangle, because the HL test only applies to right-triangles.
A standard equation for a line is usually written as y=mx+b, m being the slope and b the y-intercept. We already have the slope, 7. To find the y-intercept we need to make an equation. The coordinates (1,2) will help us. We can plug the x from our point into the equation as well as our y. 1 is the x and 2 is the y. Therefore our equation is 2=7(1)+b. Now we solve. 7×1=7, so 2=7+b. Then we subtract 7 from both sides to get rid of the 7 on the right side. In addition, the 7 is positive so subtracting will get rid of it.
2=7+b
-7 -7
2-7 is -5. Therefore -5 is b.
Now we can make an equation.
y will remain y.
x will remain x.
m = 7
b = -5
y=7x+(-5) or y=7x-5
I hope this helped! (:
So to find how many tenths, or 1/10's, there are in four fifths, or 4/5, divide 4/5 by 1/10.

Now, remember that <u>dividing by a number is equivalent to multiplying by its reciprocal</u>. To find the reciprocal, just flip the numerator and denominator around. In this case, 1/10 would become 10/1. Flip 1/10 to its reciprocal, change the sign to multiplication, and multiply numerators with numerators and denominators with denominators:

<u>In short, there are 8 tenths in four fifths.</u>
Answer:
x = ±√11 +2
Step-by-step explanation:
Given in the question an equation,
x²- 4x - 7 = 0
Step 1
take 7 to the right side of equation
x²- 4x = 7
Step 2
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b, the coefficient of x
2ab = -4x
2xb = -4x
b = -2
Step 3
Take square of b and add it to each side of the equation.
x²- 4x + (-2)²= 7 + (-2)²
x²- 4x + 4 = 7 + 4
x²- 4x + 4 = 11
Step 4
Factor the perfect trinomial square
(x−2)² = 11
Step 5
take square root on both sides
√(x−2)² = √11
(x-2) = ±√11
x = ±√11 +2