The total measure of the interior angles of a quadrilateral is 360 degrees
you are given 57, 65, 118
That is 240
to solve for the last angle
360-240
120
The exterior angle of a D would be the number that you add that will make it 180 degrees.
meaning 180-120 is
The exterior angle of angle D is 60 degrees.
Hope this helps
The distance between the x-intercept and the y-intercept of Line k is 13 units.
<h3>
Linear equation</h3>
Linear equation is in the form:
y = mx + b
Where y, x are variables, m is the rate of change and b is the y intercept.
Line k crosses the x-axis at 5, that is (5, 0). Line k is parallel to line 5y-12x = 5.
The slope of line 5y-12x = 5 is:
- 5y = 12x + 5
- y = (12/5)x + 1
Line k has a slope of 12/5 which is the same as slope of line 5y-12x = 5.
![y-y_1=m(x-x_1)\\\\y-0=\frac{12}{5}(x-5) \\\\y=\frac{12}{5}x-12](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29%5C%5C%5C%5Cy-0%3D%5Cfrac%7B12%7D%7B5%7D%28x-5%29%20%5C%5C%5C%5Cy%3D%5Cfrac%7B12%7D%7B5%7Dx-12%20)
y intercept of line k is:
y = 12/5(0) - 12
y = -12
y intercept = (0, -12)
Distance between y and x intercept:
![Distance=\sqrt{(-12-0)^2+(5-0)^2}=13](https://tex.z-dn.net/?f=Distance%3D%5Csqrt%7B%28-12-0%29%5E2%2B%285-0%29%5E2%7D%3D13%20)
The distance between the x-intercept and the y-intercept of Line k is 13 units.
Find out more on linear equation at: brainly.com/question/14323743
Answer:
Step-by-step explanation:
The area of the floor A = Length * Width
Given
A = 200 square meters
If the length of the floor is 32 m longed than it’s width then;
L = 32+W
A = LW
200 = (32+W)W
200 = 32W + W²
W²+32W-200 = 0
W = -32±√32²+800/2
W = -32±42.71/2
W = -32+42.71/2
W = 10.71/2
W = 5.35 m
L = 32+5.35
L = 37.35m
Hence the dimension is 5.35ft by 37.35m
Answer:
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Step-by-step explanation:
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Answer:
m = 50
Step-by-step explanation:
Simplify:
9 + m/5 = 19
9 + 1/5m = 19
1/5m + 9 = 19
Subtract 9 from both sides:
1/5m + 9 - 9 = 19 - 9
1/5m = 10
Multiply both sides by 5:
5 ⋅ ( 1/5m ) = ( 5 ) ⋅ (10)
<h2>Therefore m = 50</h2>