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ohaa [14]
2 years ago
8

50 POINTS !! PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Mathematics
1 answer:
schepotkina [342]2 years ago
6 0

Answer: 17mm

Step-by-step explanation:

c\sqrt{15^{2}+8^{2}  } =17

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diagrams are not drawn to scale. do numbers 10 and 12. i only care about the answers & the steps to get the answers. pls don
Stella [2.4K]

10. from the question; the circle theorem obeyed is "angled formed by semi-circle"

The angle formed in a semicircle is 90 degrees, hence

m\angle XYZ=90^{\circ}

This gives

m\angle YXZ\text{ + m}\angle YZX\text{ = 90}

But

\begin{gathered} m\angle YXZ\text{ = 2x + 8} \\ m\angle YZX\text{ = 5X - 2} \end{gathered}

Substituting values we get

\begin{gathered} 2x\text{ + 8 + 5x - 2 = 90} \\ 2x\text{ + 5x + 8 - 2 = 90} \\ 7x\text{ + 6 = 90} \\ 7x\text{ = 90 -6} \\ 7x\text{ = 84} \\ \text{divide both sides by 7} \\ x\text{ = }\frac{84}{7} \\ x\text{ = 12} \end{gathered}

hence, x =12

3 0
1 year ago
A researcher asks random samples of residents of two separate counties as to whether they had purchased organically grown food i
Leni [432]

Answer:

2 proportions z test

The two populations are named as residents from the first county and residents from the second county.

Step-by-step explanation:

This is testing hypothesis about the difference between two proportions.

When the proportions are tested if they are the test statistic

z= ( p^1-p^2)- (p1-p2) / √p₁q₁/n₁ + p₂q₂/ n₂

where p^1 is the proportion of success in the first sample and   p^2 of size n₁   is the proportion of success in the second sample of size n₂ with unknown proportions of successes p1 and p2 respectively.

When the sample sizes are sufficiently large

z= ( p^1-p^2)- (p1-p2) / √p₁q₁/n₁ + p₂q₂/ n₂ is approximately standard normal.

The two populations are named as residents from the first county and residents from the second county.

7 0
2 years ago
7. A letter from the word PERSONALITY and a card from a standard deck are chosen at random. How many outcomes are possible?
yKpoI14uk [10]

Answer:

11

Step-by-step explanation:

There are more than eleven cards in a deck but there can only be one outcome because there are only 11 letters in the word PERSONALITY.

8 0
3 years ago
What is 48 fluid ounces equal to pints
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48 us fluid ounces =
3 us liquid pints
5 0
3 years ago
Which is the graph of f(x) = 5(2)x?
Klio2033 [76]
It’s a because you have to calculate and do the formal slope
5 0
3 years ago
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