An isosceles triangle has base angles that each measure 42 degrees.Which equation can be used to find z, the measure of the thir
1 answer:
You might be interested in
Answer:
y = - 2x + 13
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (3, 7) and (x₂, y₂ ) = (5, 3)
m = =
= - 2, thus
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (3, 7), then
7 = - 6 + c ⇒ c = 7 + 6 = 13
y = - 2x + 13 ← equation of line
If the perimeter of the garden is (14x - 32) ft and has a side length of (x + 2) ft:
- the perimeter = 24 ft
- the area = 36 sq. ft
- if the perimeter of the garden is doubled, the perimeter of the new garden = 48 ft
- if the area of the garden is doubled, the area of the new garden = 72 sq. ft
<em><u>Recall</u></em>:
- A square has equal side lengths
- Perimeter of a square = 4(side length)
- Area of a square =
<em><u>Given:</u></em>
Perimeter of square (P) =
Side length (s) =
<em><u>First, let's find the </u></em><em><u>value of x</u></em><em><u> by creating an </u></em><em><u>equation </u></em><em><u>using the </u></em><em><u>perimeter </u></em><em><u>formula:</u></em>
- Perimeter of a square = 4(side length)
- Plug in the values
- Solve for x
<em><u>Find how much fencing would be needed (</u></em><em><u>Perimeter </u></em><em><u>of the fence):</u></em>
- Perimeter of the fence =
- Plug in the value of x
Perimeter of the fence =
<em><u>Find the </u></em><em><u>area </u></em><em><u>of the garden:</u></em>
- Area of the garden =
Area =
- Plug in the value of x
Area =
<u><em>Find the </em></u><u><em>perimeter </em></u><u><em>if the garden size is doubled:</em></u>
- Perimeter of the new garden = 2 x 24 = 48 ft
<em><u>Find the </u></em><em><u>area </u></em><em><u>if the garden size is doubled:</u></em>
- Perimeter of the new garden = 2 x 36 = 72 sq. ft
In summary, if the perimeter of the garden is (14x - 32) ft and has a side length of (x + 2) ft:
- the perimeter = 24 ft
- the area = 36 sq. ft
- if the perimeter of the garden is doubled, the perimeter of the new garden = 48 ft
- if the area of the garden is doubled, the area of the new garden = 72 sq. ft
Learn more here:
