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Marizza181 [45]
3 years ago
14

If the m∠A is less than 90°, then ∠A is an acute angle. M∠A=75° . What can you logically conclude using the Law of Detachment? ∠

A is acute. ∠A is acute. ∠A is right. ∠A is right. ∠A is obtuse. ∠A is obtuse. Not enough information. Not enough information.
Mathematics
1 answer:
sweet [91]3 years ago
8 0

Answer:

∠A is acute. ∠A is acute.

Step-by-step explanation:

Given that

m∠A is lower than 90°

So, it is an acute angle

And, M∠A=75°

The acute angle is the angle that measures between 0 degrees and 90 degrees on the other case the obtuse angle should be more than 90 degrees till 180 degrees

So as per the law of detachment the first option is correct and the same is to be considered

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3 0
3 years ago
Which is a greater measurement one mile or one kilometer
wel
One mile<span> is a greater measurement because it is equal to 1.6 </span>kilometers. Lets put one mile and one km into km.One <span>km is one km while one <span>mile is 1.6 <span>km.So that can also be seen as miles being a greater measurement.</span></span></span>
7 0
4 years ago
Which point is part of the solution of the inequality y&lt;=|x+4|-3
Whitepunk [10]
<h2>Hello!</h2>

The answer is: The point (0,0) is part of the solution.

<h2>Why?</h2>

To find which point is part of the solution of the inequality, we need to evaluate each of the given points. If the inequality is satisfied, then the point is part of the solution, otherwise, if the inequality is not satisfied, the point is not part of the solution.

We are given the inequality:

y\leq |x+4|-3

So, evaluating we have:

- First point (-2,1)

y\leq |x+4|-3\\\\1\leq |-2+4|-3\\\\1\leq |2|-3\\\\1\leq 2-3\\\\1\leq -1

Now, since 1 is not less or equal to -1, the point (-2,1) is not part of the solution.

- Second point (1,3)

y\leq |x+4|-3\\\\3\leq |1+4|-3\\\\3\leq |5|-3\\\\3\leq 5-3\\\\3\leq 2

Now, since 3 is not less or equal to 2, the point (1,3) is not part of the solution.

- Third point (-4,2)

y\leq |x+4|-3\\\\2\leq |-4+4|-3\\\\2\leq |0|-3\\\\2\leq 0-3\\\\2\leq -3

Now, since 2 is not less or equal to -3, the point (-4,2) is not part of the solution.

- Fourth point (0,0)

y\leq |x+4|-3\\\\0\leq |0+4|-3\\\\0\leq |4|-3\\\\0\leq 4-3\\\\0\leq 1

Now, since 0 is less than 1, the point (0,0) is part of the solution.

Hence, we have that the point (0,0) is part of the solution.

Have a nice day!

3 0
3 years ago
If the variance of the water temperature in a lake is 30°, how many days should the researcher select to measure the temperature
Jet001 [13]

Answer: The number of days would be 7 days.

Step-by-step explanation:

Since we have given that

Variance = 30°

Standard deviation = √30 =  5.47

Mean = 4°

At 95% confidence, z = 1.96

So, number of days that the researcher select to measure the temperature would be

n=(\dfrac{z\times \sigma}{error})^2\\\\n=(\dfrac{1.96\times 5.42}{4})^2\\\\n=7.053\\\\n=7

Hence, the number of days would be 7 days.

3 0
4 years ago
What is the 24th term of the arithmetic sequence where a1 = 8 and a9 = 56?
luda_lava [24]
Since this is an arithmetic sequence it would just be 8 x 24 which is 192
4 0
3 years ago
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