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anyanavicka [17]
3 years ago
6

How many triangles can be constructed with angles measuring 110°, 50°, and 20°?

Mathematics
2 answers:
lutik1710 [3]3 years ago
8 0
The answer would be B) more than one hope this helped you!
Oksana_A [137]3 years ago
3 0
The answer Is Is B Because A triangle is 180 angles and if we add up the given angles we get more than 180 degrees so thats why B is the answer
Hope this has helped :)
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Mary Palm's checking account had a starting balance of $785.63. She wrote a check for $57.00 for groceries and a check for $125.
wariber [46]
785.63-(57+125)
=785.63-182
=603.63

603.63+57.25=$660.87
5 0
3 years ago
The amount of soft drink in a bottle is a Normal random variable. Suppose that in 7% of the bottles containing this soft drink t
WITCHER [35]

Answer:

The mean is 15.93 ounces and the standard deviation is 0.29 ounces.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

7% of the bottles containing this soft drink there are less than 15.5 ounces

This means that when X = 15.5, Z has a pvalue of 0.07. So when X = 15.5, Z = -1.475.

Z = \frac{X - \mu}{\sigma}

-1.475 = \frac{15.5 - \mu}{\sigma}

15.5 - \mu = -1.475\sigma

\mu = 15.5 + 1.475\sigma

10% of them there are more than 16.3 ounces.

This means that when X = 16.3, Z has a pvalue of 1-0.1 = 0.9. So when X = 16.3, Z = 1.28.

Z = \frac{X - \mu}{\sigma}

1.28 = \frac{16.3 - \mu}{\sigma}

16.3 - \mu = 1.28\sigma

\mu = 16.3 – 1.28\sigma

From above

\mu = 15.5 + 1.475\sigma

So

15.5 + 1.475\sigma = 16.3 – 1.28\sigma

2.755\sigma = 0.8

\sigma = \frac{0.8}{2.755}

\sigma = 0.29

The mean is

\mu = 15.5 + 1.475\sigma = 15.5 + 1.475*0.29 = 15.93

The mean is 15.93 ounces and the standard deviation is 0.29 ounces.

6 0
3 years ago
Given that / and /, which postulate or theorem can be used to show that all 3 center triangles in the Antigua and Barbuda flag a
MrRissso [65]
Given that we assume that all the bases of the triangles are parallel.

We can use AAA or Angle-Angle-Angle to prove that these triangles are similar.

Each parallel line creates the same angle when intersecting with the same side.
For example:
The bases of each triangle cross the left side of all the triangle.
Each angle made by the intersecting of the the parallel base and the side are the same.
Thus, each corresponding angle of all the triangles are congruent.
If these angles are congruent, then we have similar triangles.
4 0
3 years ago
Read 2 more answers
1 Negative numbers do not need the<br>negative sign (-) in front of them.<br>O True<br>O False​
katrin [286]

Answer:

The answer is False

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the completely factored from of 9x2+24x+16
dezoksy [38]

Answer:

(3x+4)(3x+4) is factor of given expression.

B is correct.

Step-by-step explanation:

We are given an expression 9x^2+24x+16

Formula: a^2+2ab+b^2=(a+b)^2

First we write each term as perfect square as formula.

\Rightarrow 9x^2+24x+16

\Rightarrow (3x)^2+2\cdot 3x\cdot 4+4^2

Using formula , a=3x and b=4

\therefore (3x)^2+2\cdot 3x\cdot 4+4^2=(3x+4)^2

Now we write same number two times.

Hence, (3x+4)(3x+4) is factor of given expression.

3 0
3 years ago
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