First, you would start by adding 7 8/15 and 11 1/6 together. Starting with the whole numbers you would add 7 and 11, getting 18. You would then multiply 8/15 by 2/2 and 1/6 by 5/5, making them 16/30 and 5/30, you then add them getting 21/30, or 7/10. Then add 18 and 7/10 together, getting 18 7/10. Finally, subtract 13 1/6 from 18 7/10. You would start by subtracting 13 from 18, getting 5. Then you would multiply 1/6 by 5/5 and 7/10 by 3/3, getting 5/30 and 21/30, you would subtract 5/30 from 21/30, getting 16/30. Finally, you would add 16/30 and 5 with each other, getting 5 16/30.
Small triangle needs to equal 180degrees.
so
180 = 63 + 36 + x
180 = 99 + x
subtract 99 from both sides to isolate x
81 = x
Now, x and z are supplementary angles.
Meaning that they add up to 180degrees
x + z = 180
81 + z = 180
subtract 81 from both sides to isolate z
z = 99
Now we can see there is a triangle formed with the top angle 13 degrees and z and y
they must all add up to 180.
180 = 13 + z + y
we know z = 99
180 = 13 + 99 + y
180 = 112 + y
68 = y
Hope this helps!
9514 1404 393
Answer:
8 : 125
Step-by-step explanation:
The volume is proportional to the cube of the side lengths. Hence, the ratio of volumes is proportional to the cube of the ratio of side lengths.
v1 : v2 = (2 : 5)^3 = 2^3 : 5^3 = 8 : 125
Answer:
what si the questions
Step-by-step explanation:
The two points are (-4, -2) and (4, 5) and the equation of the line is 8y = 7x + 12 passing through the two points.
<h3>What is geometric transformation?</h3>
It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have a quadrilateral ABCD which is reflected over a line and formed a mirror image A'B'C'D' of the quadrilateral.
From the graph:
The two points are (-4, -2) and (4, 5)
The line equation passing through two points:
[y - 5] = (5+2)/(4+4)[x - 4]
y - 5 = 7/8[x - 4]
8y - 40 = 7x - 28
8y = 7x + 12
Thus, the two points are (-4, -2) and (4, 5) and the equation of the line is 8y = 7x + 12 passing through the two points.
Learn more about the geometric transformation here:
brainly.com/question/16156895
#SPJ1