We have some couples of angles that are equal
66° 44 and 70 make 114. 180 minus 114 makes 66
Answer:
Step-by-step explanation:
These triangles are similar triangles, so there is a number that you can multiply the sides of TUV to find the side lengths of QRS. looking at the triangle, the similar sides are RS being similar to UV and RQ being similar to UT.
If RS~UV, then there is a ratio between them. 54/36=1.5. The ratio is 1.5.
RQ~UT, and by a factor of 1.5, so divide RQ by the scale factor. 24/1.5=16. UT=16=x+5.
x+5=16, subtract 5 from both sides.
x=11
Answer: ![\frac{11}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7B15%7D)
Step-by-step explanation:
You know that:
- 2/5 of the spice mixture was oregano.
- 1/3 of the spice mixture was basil.
Then, to find the fraction of the total amount of spice mixture that was oregano and basil, you must add both fractions, as following:
- Find the least common multiply of the denominators:
![LCM=5*3=15](https://tex.z-dn.net/?f=LCM%3D5%2A3%3D15)
- Divide the LCM by each original denominator and multiply the result by each numerator.
- Make the addition.
Then, the result is:
![\frac{(2*3)+(1*5)}{15}=\frac{6+5}{15}=\frac{11}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B%282%2A3%29%2B%281%2A5%29%7D%7B15%7D%3D%5Cfrac%7B6%2B5%7D%7B15%7D%3D%5Cfrac%7B11%7D%7B15%7D)
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