In the diagram below of triangle V W X Y is a midpoint of VW and Z is a midpoint of W X. If Y Z = 21, and V X = 106 - 10x, what
is the measure of Y Z?
1 answer:
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Answer: 41.1
Step-by-step explanation:
To find the value of x, we need to use SOH-CAH-TOA. SOH-CAH-TOA is since, cosine, and tangent. The O, A, H stands for opposite, adjacent, and hypotenuse respectively.
Looking at the figure, we see 47°. The labelled angles are adjacent and the hypotenuse. Therefore, we use CAH or cosine.
[multiply both sides by x]
[divide both sides by cos(47)]
When we plug that into a calculator, we get x=41.1.
Answer: The total number of student in the school = 240.
Step-by-step explanation:
Let x be the total number of students in the school.
Given: 35% of the students at Charles drew middle school are 6th graders.
i.e. Number of sixth graders = 35% of x = 0.35x [35% = 0.35]
Since there are 84 sixth graders in the school,
So
Divide both sides by 0.35, we get
Hence, the total number of student in the school = 240.