For the answer to the question above, uUnder this assumption, BE is a median. Along with any median, the centroid of a triangle is always located 2/3 of the way from the vertex to the midpoint of the opposite side, so the centroid G is 2/3 of the way from E to B.
So we have GE = (2/3)BE.
Furthermore, by segment addition, BG + GE = BE.
Since BE = 9, GE = (2/3)(9) = 6.
<span>Then BG + 6 = 9, which gives BG = 3</span>
The degree of a line is 180, so..
Put it into an equation form: 5x + 75 = 180
1st combine like terms by subtracting 75 from 180
now your equation looks like this: 5x = 105
next you divide 5 from both sides, 105 divided by 5 is 21, so your answer is: x=21
I hope this helps!♥
Answer:
x + 5
Step-by-step explanation:
Every time it goes up by a factor of 5
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Answer:
x ≈ 4.2 (nearest tenth)
Step-by-step explanation:
The chord of length 4 is the base of an isosceles triangle with height of 3.7 and sides equal to the radius (x).
An isosceles triangle comprises two right triangles, each with:
- base = 2 units
- height = 3.7 units
- hypotenuse = x units
Therefore, to find x use Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
⇒ a² + b² = c²
⇒ 2² + 3.7² = x²
⇒ x² = 17.69
⇒ x = √(17.69)
⇒ x = 4.2 (nearest tenth)
Answer: b) The probability that an item produced by this process is defective is likely to be close to 0.15, but not exactly equal to 0.15.
Step-by-step explanation:
Given that:
Number of samples = 100
Number of defective samples = 15
Proportion =number defective samples / total samples
P = 15 / 100 = 0.15
Hence, the probability that an item produces is defective is 0.15.
However, due to sampling Variations, the probability will be corrected for these variations. Hence, probability that an item produced by this process is defective is likely to be close to 0.15, but not exactly equal to 0.15.