Answer:
x= 77
Step-by-step explanation:
The angle at 122 degrees is a linear pair with the isosceles triangle, meaning it makes 180 degrees.
180-122= 58 degrees
Since it is an isosceles triangle, the two angles at the bottom are both 58 degrees.
Let's use this info to find the degree at the top.
58+58= 116
There are 180 degrees in a triangle, so subtract 116 degrees we have so far to find the last angle.
180-116= 64 degrees
And since the angle at the top makes 90 degrees, we can subtract 64 degrees to find the smaller angle to the right of the 64 degree angle.
90-64= 26 degrees
And since a triangle has a total of 180 degrees, subtract the 26 degrees from 180.
180-26= 154 degrees.
And since it is an isosceles triangle, divide the remaining 154 degrees by 2 because they are both equal.
154/2= 77 degrees.
Your answer is 77 degrees.
Answer:
$28
Step-by-step explanation:
cp=20
mp=20%ofcp
=20/100*20
=8
now,
sp=mp+cp
=8+20
=28
Answer:
5 units
Step-by-step explanation:
3x + 4y = 8
4y = -3x+8
y = -3/4+2
The shortest distance between a point and a line is the perpendicular line.
Slope of the perpendicular line: 4/3 and point (-3,-2)
b = -2-(4/3)(-3) = 2
Equation of the perpendicular line: y=4/3x+2
y is equal y
4/3x+2= -3/4x+2
4/3x +3/4x = 2-2
x = 0
Plug x=0 into one of the equations to find y
y = 4/3(0) + 2
y = 2
(0,2) and (-3,-2)
Distance = sqrt [(-3-0)^2 + (-2-2)^2]
Sqrt (-3)^2+ (-4)^2
Sqrt 25 = 5
