Answer:
radius = 10 units
Step-by-step explanation:
using the Pythagorean theorem:
height of triangle = 6 units
base of triangle = 16/2 = 8 units
radius² = 6² + 8² = 36 + 64 = 100
radius = √100 = 10 units
First, open the parentheses (make sure you distribute the '-':
6x - 3x - 4 = x - 40
3x - 4 = x - 40
2x = -36
x = -18
The solution set is {-18}
From the diagram, ΔRST, ΔRUS and ΔSUT are right triangles. This means that the corresponding legs of the three triangles are proportional, then we can say that the triangles are similar by side-angle-side similarity.
RS/RU=RU/SU
In the figure we can also notice that the acute angles of the corresponding angles are similar, then by angle-angle similarity the triangles are similar.
∠TRS~∠URS~TSU
This implies that: ΔSUT~ΔSRU~ΔRTS
Answer:

Assuming that there are only 2 flavors of the sweet ⇻ strawberry & orange.
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P (strawberry flavored sweet) = 0.8
P (orange flavored sweet) = ?
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Now, we know that ➳ the value of probability ≤ 1. So, the probability of orange flavored sweets is less than 1.
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So,
P (orange flavored sweet) = 1 - P (strawberry flavored sweet)
P (orange flavored sweet) = 
P (orange flavored sweet) = 
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✐ The probability that the sweet is orange flavored is <u>0</u><u>.</u><u>2</u>
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