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Hitman42 [59]
2 years ago
13

Which shortcut can be used to prove the triangles are congruent?

Mathematics
1 answer:
Gemiola [76]2 years ago
6 0

Answer:

Option 2: AAS is the right answer

Step-by-step explanation:

In the diagram, two triangles are given with two angle measurements and one non-included side.

It can also be seen that the respective angles of both triangles have same measurement and the non-included side is also congruent.

AAS Postulate:

"AAS postulate states that when two angles and one excluded side are congruent in two triangles then the triangles are congruent."

Hence,

Option 2: AAS is the right answer

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How many times does 10 go into 44 with remainder
ankoles [38]

Answer:

Answer: 4 Remainder :4

Step-by-step explanation:

10 | 44 |

10*4 = 40

44-40

4

4 0
3 years ago
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1) Factor the polynomial using the GCE.<br> 2x2 + 6x
yarga [219]

Answer:

2x(x+3)

Step-by-step explanation:

2x^{2} +6x

2x(x+3)

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Use the following table to find the Rate of Change.
ELEN [110]

Answer:

x=1 and y= 6

Step-by-step explanation:

and for y its a positive cause their both negitives

3 0
3 years ago
What is the slope of the line given by the equation y = 4x? Enter your answer as an integer or fraction in lowest terms.
lisov135 [29]

Answer:

slope =  4

Step-by-step explanation:

recall that for a linear equation in the form:

y = mx + b,

m = slope of line and b is the y-intercept.

In our case, we are given

y = 4x

If we compare this with the general equation above,

we can see that m = 6 and b = 0

hence slope = m = 4

3 0
3 years ago
A line for tickets to a Broadway show had a mean waiting time of 20 minutes with a standard deviation of 5 minutes.
andrezito [222]

Answer:

5.48% of the people in line waited for more than 28 minutes

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean waiting time of 20 minutes with a standard deviation of 5 minutes.

This means that \mu = 20, \sigma = 5

What percentage of the people in line waited for more than 28 minutes?

The proportion is 1 subtracted by the p-value of Z when X = 28. So

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

Z = \frac{28 - 20}{5}

Z = 1.6

Z = 1.6 has a p-value of 0.9452.

1 - 0.9452 = 0.0548.

As a percentage:

0.0548*100% = 5.48%

5.48% of the people in line waited for more than 28 minutes

6 0
2 years ago
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