Rule: with any inscribed quadrilateral, the opposite angles are supplementary (they add to 180 degrees)
Based on that rule, we can say
d+100 = 180
d+100-100 = 180-100
d = 80
Answer: 80
Answer:
They are congruent by SAS
Step-by-step explanation:
MQ=PN
The angles with markings also go together
The line right in the middle is the second side because of the reflexive property
Answer:
-1
Step-by-step explanation:
-5-15+4+15
=-20+19
=-1
Let blueberry = b and poppyseed = p
b + p = 64
b = p + 20
p + 20 + p = 64
2p + 20 = 64
2p = 44
p = 22
b = 22 + 20
b = 42
Jack bought 42 blueberry muffins
The final equation of line that passes through (9, 0) AND (0, -6) is:
![y=\frac{2}{3}x-6](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B2%7D%7B3%7Dx-6)
Further explanation:
The general form of equation of line is:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
Given
(x1,y1) = (9,0)
(x2,y2) = (0, -6)
We have to find the slope first:
![m=\frac{y_2-y_1}{x_2-x_1}\\= \frac{-6-0}{0-9}\\=\frac{-6}{-9}\\=\frac{2}{3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5C%3D%20%5Cfrac%7B-6-0%7D%7B0-9%7D%5C%5C%3D%5Cfrac%7B-6%7D%7B-9%7D%5C%5C%3D%5Cfrac%7B2%7D%7B3%7D)
Putting the value of slope in general form
![y=\frac{2}{3}x+b](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B2%7D%7B3%7Dx%2Bb)
To find the value of b, we have to put a point in the equation
Putting (9,0) in equation
![0=\frac{2}{3}(9)+b\\0=2*3+b\\0=6+b\\b=-6](https://tex.z-dn.net/?f=0%3D%5Cfrac%7B2%7D%7B3%7D%289%29%2Bb%5C%5C0%3D2%2A3%2Bb%5C%5C0%3D6%2Bb%5C%5Cb%3D-6)
Putting the values of b and m in general form
The final equation of line that passes through (9, 0) AND (0, -6) is:
![y=\frac{2}{3}x-6](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B2%7D%7B3%7Dx-6)
Keywords: Equation of line, Pount-slope form
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