1/2X+4=X-4
1/2X+8=X
8=1/2X
16=X
(Pick one of the equations )
y=1/2X+4
y=(1/2)(16)+4
y=12
point: (16,12)
Answer:
17 feet
Step-by-step explanation:
Let x represent the shorter leg of the triangle. Then the longer leg is (2x-1) and the area is ...
A = (1/2)bh = (1/2)(x)(2x-1) = 60
2x^2 -x = 120 . . . . multiply by 2 and simplify
2x^2 -x -120 = 0 . . . . subtract 120
(x -8)(2x +15) = 0 . . . . factor. The positive solution is x=8.
The square of the hypotenuse is ...
hypotenuse^2 = x^2 + (2x -1)^2 = 8^2 + 15^2 = 289
hypotenuse = √289 = 17
The length of the hypotenuse is 17 feet.
The answer would be 300 dollars because 250x0.20 equals 50 and since its the sale price you do 250+50
Answer:
70° and 110°
Step-by-step explanation:
If two angles forms a linear pair, this means that the sum of the angles is 180°. If the measure of one angle is x and the measure of the other angle is 1.4 times x plus 12∘
Let A be the first angle = x°
Let B be the second angle = (1.4x+12)°
Since they form a linear pair, then
A+B = 180°
x + 1.4x+12 = 180°
2.4x = 180-12
2.4x = 168
x = 168/2.4
x = 70°
The measure of angle A = 70°
The measure if angle B = 1.4x+12
B = 1.4(70)+12
B = 98+12
B = 110°
The measure of both angles are 70° and 110°
Refer to the diagram below
The shape ABCD first is reflected on the mirror line y = x
Then it is reflected again on the y-axis [equation of the line is x = 0]