Answer: x = 9 (choice D)
Assuming this is a geometric kite, then this means that triangle ABD is a reflection over the line BD to get triangle BCD. Furthermore, this points to AB and BC being the same length
AB = BC
3x - 5 = 22 .... substitution
3x - 5+5 = 22+5 .... add 5 to both sides
3x = 27
3x/3 = 27/3 ..... divide both sides by 3
x = 9
Answer:
Step-by-step explanation:
Side c = AB can be found using the Pythagorean theorem:
c² = a² + b² = 8² +5² = 89
c = √89 ≈ 9.43
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Angle B is the complement of angle A, so is ...
B = 90° -A = 90° -58° = 32°
c is approximately 9.43; the measure of angle B is 32°.
Answer:
0.019 or 1.9%
Step-by-step explanation:
The probability that a randomly selected roll used by the manufacturer contains flaws is determined by the probability of a flawed cotton roll occurring (1% x 70%) added to the probability of a flawed nylon roll occurring (4% x 30%) .
The probability that a randomly selected roll contains flaws is 0.019 or 1.9%
Answer:
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Step-by-step explanation:
Answer:
x < 19
Step-by-step explanation:
Given that,
An inequality 2x - 5 < 33.
LHS of the inequality is 2x - 5
RHS of the inequality is 33
LHS < RHS
i.e.
2x - 5 < 33
Add 5 to both sides of the inequality
2x - 5 +5 < 33+5
2x < 38
Divide both sides by 2.
x < 19
So, the value of x is less than 19.
