Answer:
<em>x = 49°</em>
Step-by-step explanation:
<u>Angles in a Triangle</u>
The sum of the internal angles in any triangle adds up to 180°.
The figure shows a triangle that includes two angles with the same tick mark. This means they are congruent, i.e. they measure the same.
The larger triangle has three defined angles: 43°, 39°, and 2x. Since the sum of them is 180°:
43° + 39° + 2x = 180°
Operating:
82° + 2x = 180°
Subtracting 82°:
2x = 180° - 82° = 98°
x = 98°/2 = 49°
x = 49°
Answer:
E 0.923
Step-by-step explanation:
The Z score is a measurement used in statistics to determine the relationship between a value and a mean of a group of values measured as standard deviation from the mean. The z score (z) is given as:
, Where μ is the mean, σ is the standard deviation and x is the value.
Given that:
σ = 7, μ = 80 and x = 90

From the normal distribution table, P(X < 90) = P(z < 1.43) = 0.923
Answer:
23 degrees
Step-by-step explanation:
6x + 42 = 180
x = 23
Answer:
350 calories
Step-by-step explanation:
divide 50 by 3 then multiply that number by 21.
False. Since the probability of one side of the coin is 3/10, the other must be 7/10.