3 lines are shown. A line with points T, R, W intersects with a line with points S, R, V at point R. Another line extends from p
oint R to point U in between angle V R W. Which pair of angles are vertical angles? AngleWRU and AngleSRT AngleWRS and AngleVRT AngleVRU and AngleTRS AngleVRT and AngleSRT
2 answers:
Answer:
The vertical angles are ∠ WRS and ∠ VRT ⇒ 2nd answer
Step-by-step explanation:
* <em>Lets explain the meaning of the vertical angles</em>
- Vertical angles are the angles opposite to each other when two lines
are intersected
- The vertical angle are equal in measures
- <em>Look to attached figure which represents the lines </em>
∵ Line TW intersects line SV at R
∴ ∠ WRV and ∠ SRT are vertical angle
∴ <u><em>∠ WRS and ∠ VRT</em></u> are vertical angle
∵ RU is between the rays of angle VRW
∴ RU intersects the lines TW and SV at R
∴ No vertical angles between RU and the other two lines because
it intersects them its endpoint R
* <em>Now lets look to the answer to chose the right one</em>
- ∠ WRU and ∠ SRT are not vertical angles
- <em><u>∠ WRS and ∠ VRT are vertical angles </u></em>
- ∠ VRU and ∠ TRS are not vertical angles
- ∠ VRT and ∠ SRT are not vertical angles
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a) There is no a word problem for both expressions ( and
), b) A bottle contains 25.4 fluid ounces of shampoo. Katie uses 0.75 of the bottle. How much shampoo is left? A bottle contains 25.4 fluid ounces of shampoo. Katie uses 0.25 fluid ounces of the bottle. How much shampoo is left?
Step-by-step explanation:
a) The shampoo problem is a word problem for:
(Final content) = (Initial content) - (Used content)
Then,
Or:
Hence, there is no a word problem for both expressions ( and
).
b) The word problem for is:
A bottle contains 25.4 fluid ounces of shampoo. Katie uses 0.75 of the bottle. How much shampoo is left?
The word problem for is:
A bottle contains 25.4 fluid ounces of shampoo. Katie uses 0.25 fluid ounces of the bottle. How much shampoo is left?
Let ....(1)
Multiply both sides of equation (1) by 10.
.... (2)
Multiply both sides of equation (1) by 100.
... (3)
Subtract equation (2) from equation (3)
Hence, the required fraction form is .... Answer.
Answer:
The probability of getting a sample with 80% satisfied customers or less is 0.0125.
Step-by-step explanation:
We are given that the results of 1000 simulations, each simulating a sample of 80 customers, assuming there are 90 percent satisfied customers.
Let = <u><em>sample proportion of satisfied customers</em></u>
The z-score probability distribution for the sample proportion is given by;
Z = ~ N(0,1)
where, p = population proportion of satisfied customers = 90%
n = sample of customers = 80
Now, the probability of getting a sample with 80% satisfied customers or less is given by = P( 80%)
P( 80%) = P(
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-2.24) = 1 - P(Z < 2.24)
= 1 - 0.9875 = <u>0.0125</u>
The above probability is calculated by looking at the value of x = 2.24 in the z table which has an area of 0.9875.