Answer: Measure angle H = 42°
Step-by-step explanation:
"In a triangle, the measure of the exterior angle is equal to the sum of the measures of the two non-adjacent angles to the exterior angle"
In given we have,
angle E is an exterior angle to triangle DFH
The two non-adjacent angles to angle E are angles D and H
Based on the above rule,
measure angle E = measure angle D + measure angle H
We are given this:
angle E = 87°
angle D = 45°
Substitute with the givens in the above rule and solve for the measure of angle H as follows:
angle E = angle D + angle H
87° = 45° + measure angle H
measure angle H = 87° - 45°
measure angle H = 42°
Hope this helped!
Answer:
Largest number ins scientific notation: 1.4 x 10⁹ (Diameter of sun)
Step-by-step explanation:
We need to find the largest number ins scientific notation.
The number which has highest degree would be the largest.
In the given options, Diameter of Sun has highest power i.e 10⁹
All other options have lower degrees.
So, largest number ins scientific notation: 1.4 x 10⁹ (Diameter of sun)
Answer:
45
Step-by-step explanation:
So you have the equation:
(3x - 5) ^(x) - 19
and the value x = 3,
so just substitute in and simplify:
(3*3 - 5) ^ (3) - 19
(9 - 5)^(3) - 19
(4)^(3) - 19
64 - 19
45
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Answer: The answer is 0.38
Step-by-step explanation:
Well, everything is given, as stated in the question "the probability that a student is a girl and in an art class is 0.20."
It's given that the probability that a student is a girl is 0.52.
However, in the question, it said that it's given a student is a girl.
You have the probability that a student is a girl and in art class, so you need to find what 0.52 was multiplied by which would be the probability of someone being in art class. Knowing this you can do 0.20 / 0.52 to get 0.38.
