Answer:
x = 5
Step-by-step explanation:
Step 1: Subtract 2x from both sides.
4x−3−2x=2x+7−2x
<u>2x−3=7</u>
Step 2: Add 3 to both sides.
2x−3+3=7+3
<u>2x=10 </u>
Step 3: Divide both sides by 2.
2x/2 = 10/2
x=5
The height of the pole is 96 feet
In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation relating the lengths of the legs a, b and the hypotenuse c, often called the Pythagorean equation:[1]
Create a diagram of the scenario first. You would have a right triangle with a hypotenuse (longest side) of h + 4, a longest leg of h - 68, and one leg of length h to represent the pole.
Set up the equation using the Pythagorean theorem ().
On simplifying we get
Solving using quadratic formula
h1 = 96 feet , h2 = 48 feet
If height would have been 48 feet then the other side would have a negative value as as 48 - 68 = -20 .
Hence the height of the pole is 96 feet
Learn more about Pythagoras theorem here :
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Answer: x = 10
Explanation:
Line A is parallel to line B only when the corresponding angles 4x and 3x+10 are congruent
4x = 3x+10
4x-3x = 10
x = 10
In order to solve this, start by adding 1 to both sides of the equation.
m-1=2
+1 +1
-----------
m=3
The solution to your equation is 3.
You can also check to see if this is true by replacing m with 3.
m-1=2
3-1=2
Answer:
d. vertical line
Step-by-step explanation:
A line with an undefined slope is a vertical line
Slope is the change in y over the change in x
When the slope is undefined, it means that the x does not change, which is a vertical line