Answer:
51,129
Step-by-step explanation:
x+x+78=180(supplementary angles are 180)
2x+78=180
2x= 102
x= 51
x+78 = 129
Hi there!
The problem statement describes the dimensions. The base length is 15 ft; the height is 10 ft.
The area of a parallelogram is the product of base length and height, just as it is for a rectangle.
A = bh
A = (15 ft)(10 ft) = 150 ft²
Mr Morris should purchase 150 ft² of material.
_____
If you compare the area to a 15 ft by 10 ft rectangle, you see the "excess" triangle at the left end just matches the "missing" triangle at the right end. The A=bh formula still works even if the top and base are offset by more than the width of the base.
~SharkieOwO~
We know that
[surface area <span>of the ramp]=10*16+8*16+6*16+2*[6*8/2]
</span>[surface area of the ramp]=160+128+96+48-----> 432 ft²
the answer Part a) is
the surface area of the ramp is 432 ft²
if 1 ft² is sold for--------------------> $3
432 ft²-------------------> x
x=432*3-----> x=$1296
the answer Part b) is
$1296
<em>Here's</em><em> </em><em>my</em><em> </em><em>working</em><em> </em><em>for</em><em> </em><em>1</em><em>)</em><em> </em><em>You</em><em> </em><em>need</em><em> </em><em>to</em><em> </em><em>find</em><em> </em><em>the</em><em> </em><em>exterior</em><em> </em><em>angle</em><em>,</em><em> </em><em>then</em><em> </em><em>divide</em><em> </em><em>by</em><em> </em><em>360</em><em> </em><em>to</em><em> </em><em>find</em><em> </em><em>the</em><em> </em><em>number</em><em> </em><em>of</em><em> </em><em>sides</em><em>:</em>
<em>Applying</em><em> </em><em>these</em><em> </em><em>steps</em><em> </em><em>:</em><em> </em>
180 (Interior Angles) - 162 = 18 (Exterior angle)
360 ÷ 18 is<em> </em><em>20</em><em> </em><em>sides</em><em> </em>
<em>For</em><em> </em><em>2</em><em>)</em>
<em>Its</em><em> </em><em>the</em><em> </em><em>same</em><em> </em><em>method</em><em>,</em><em> </em><em>so</em><em> </em><em>apply</em><em> </em><em>the</em><em> </em><em>steps</em><em>:</em>
<em>180</em><em> </em><em>-</em><em> </em><em>175</em><em> </em><em>=</em><em> </em><em>5</em>
<em>360</em><em> </em><em>÷</em><em> </em><em>5</em><em> </em><em>=</em><em> </em><em>72</em><em> </em><em>sides</em><em> </em>
<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>!</em><em> </em><em>:</em><em>)</em><em> </em>
Differences:
point slope form of line:
(a) equation is ![(y-y_1)=m(x-x_1)](https://tex.z-dn.net/?f=%28y-y_1%29%3Dm%28x-x_1%29)
where m is slope and (x1,y1) is a point
(b)This equation of line can be determined when two points are given
(x1, y1) and (x2,y2)
slope intercept form of line:
(a) equation is ![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
where m is a slope
b is y-intercept
(b)This equation of line can be determined when y-intercept and slope are given
Similarilties:
(a) both are equation of straight line
(b) slope is always constant in both