The grid lines will help you find an exact solution (assuming the two lines actually cross at a grid intersection point). However, the two lines may intersect somewhere off the grid lines which is when an estimation will be the next best thing.
Answer:
x = 4
Step-by-step explanation:
Since the triangle is right use Pythagoras' identity to solve for x
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
(x + 3)² + (4(x + 2))² = 25² ← expand parenthesis on left side
x² + 6x + 9 + 16(x+ 2)² = 625
x² + 6x + 9 + 16(x² + 4x + 4) = 625
x² + 6x + 9 + 16x² + 64x + 64 = 625 ← simplify left side
17x² + 70x + 73 = 625 ( subtract 625 from both sides )
17x² + 70x - 552 = 0 ← in standard form
with a = 17, b = 70, c = - 552
Using the quadratic formula to solve for x
x = ( - 70 ± 
) / 34
= ( - 70 ± 
) / 34
= - 70 ± 
) / 34
= - 70 ± 206 ) / 34
x = 
= - 8.1176....
or x = 
= 4
However, x > 0 ⇒ x = 4
Hence
x + 3 = 4 + 3 = 7 and
4(4 + 2) = 24
The triangle is a 7- 24- 25 right triangle
Answer:
7
Step-by-step explanation:
Alternate interior angles must be congruent.
3x - 2 = 2x + 5
x = 7
Answer:
Before going to the first store he had $ 112.
Step-by-step explanation:
Before going to the first store Mr. Chin had all his money, which we will call by "x". After the first store he had:
y = x/2 - 14
He then went to a second store and he spent all his money in a way that:
y/3 - 14 = 0
Because after that store he had no money left. So we can use the second equation to solve for y and then use that value to solve for x, that is the amount of money he had before going to the first store. We have:
y/3 = 14
y = 14*3 = 42
From the first equation:
42 = x/2 - 14
x/2 - 14 = 42
x/2 = 42 + 14
x/2 = 56
x = 112
Before going to the first store he had $ 112.
Rational Numbers
It says that between any two real numbers, there is always another real number. Rational Numbers: Any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions.
