What’s the measure of angle X?
1 answer:
Answer:
x = 84°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
129° is an exterior angle of the triangle, thus
x + 45° = 129° ( subtract 45° from both sides )
x = 84°
The 2 triangles formed by the tree/ shadow and Jordan/ shadow are similar and ratio of corresponding sides are equal, that is
let h be the height of the tree, then
=
= 5 ( multiply both sides by 7 )
h = 35
The height of the tree is 35 ft
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Answer:
40 students choose Papa John's, and 24 did not
Step-by-step explanation:
This question can be solved by proportions, using rule of three.
For each 8 students, 5 chose Papa John's. Out of 64, how many choose?
5 - 8
x - 64
Applying cross multiplication
Simplifying by 8
40 students choose Papa John's.
In all, there are 64 students, so 64 - 40 = 24 did not
Answer: -406
Step-by-step explanation:
We have the following expression:
In addition we know:
and
If we substitute this in the expresion, we will have: