Angle A is supplementary to the exterior angle and angle B is 70 degrees
a. ![\frac{11}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7B12%7D)
b. ![\frac{39}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B39%7D%7B20%7D)
c. ![\frac{20}{21}](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7B21%7D)
Step-by-step explanation:
Step 1; First, we convert the given fractions into improper ones. To do this, we multiply the whole number with the denominator of the fraction and add with it the same fraction's numerator whereas the denominator remains unchanged. To convert the fraction
3
= (3 × 4) + 1 / 4 =
,
2
= (2 × 3) + 1 / 3 =
,
6
= (6 × 5) + 1 / 5 =
,
4
= (4 × 4) + 1 / 4 =
,
5
= (5 × 7) + 2 / 7 =
,
4
= (4 × 3) + 1 / 3 =
.
Step 2; Now we subtract, using LCM to arrive at the answer
3
- 2
=
-
=
=
,
6
- 4
=
-
=
=
,
5
- 4
=
-
=
=
.
Answer:
Im boutta fail my final
Step-by-step explanation:
1 like= 1 prayer
Answer:
![A.\ \frac{4}{6} = \frac{6}{9} = \frac{8.5}{12.5}](https://tex.z-dn.net/?f=A.%5C%20%5Cfrac%7B4%7D%7B6%7D%20%3D%20%5Cfrac%7B6%7D%7B9%7D%20%3D%20%5Cfrac%7B8.5%7D%7B12.5%7D)
Step-by-step explanation:
Given
Let the two triangles be A and B
Sides of A: 4, 6 and 8.5
Sides of B: 6, 9 and 12.5
Required
Which set of ratio determines the dilation
To determine the dilation of a triangle over another;
We simply divide the side of a triangle by a similar side on the other triangle;
From the given parameters,
A ------------------B
4 is similar to 6
6 is similar to 9
8.5 is similar to 12.5
Ratio of dilation is as follows;
![Dilation = \frac{4}{6}](https://tex.z-dn.net/?f=Dilation%20%3D%20%5Cfrac%7B4%7D%7B6%7D)
![Dilation = \frac{6}{9}](https://tex.z-dn.net/?f=Dilation%20%3D%20%5Cfrac%7B6%7D%7B9%7D)
![Dilation = \frac{8.5}{12.5}](https://tex.z-dn.net/?f=Dilation%20%3D%20%5Cfrac%7B8.5%7D%7B12.5%7D)
Combining the above ratios;
![Dilation = \frac{4}{6} = \frac{6}{9} = \frac{8.5}{12.5}](https://tex.z-dn.net/?f=Dilation%20%3D%20%5Cfrac%7B4%7D%7B6%7D%20%3D%20%5Cfrac%7B6%7D%7B9%7D%20%3D%20%5Cfrac%7B8.5%7D%7B12.5%7D)
<em>From the list of given options, the correct option is A,</em>