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3 years ago

In order to prove that traingle ADC is congruent to triangle ABC by SAS, we would need to show that

Mathematics

1 answer:

IRISSAK [1]3 years ago

8 0

Answer:

D) Angle DAC is congruent to Angle BAC

Step-by-step explanation:

Given:

The triangles ABC and ADC are congruent by SAS postulate.

SAS postulate means two corresponding sides are congruent to each other and the included pair of angles are also congruent to each other.

From the figure, consider the triangles ABC and ADC.

AB = AD (Given)

AC = AC ( Reflexive property. Side AC is a common side to both triangles)

Now, the pair of angles included between these two pair of sides are angle BAC and angle DAC.

So, in order to prove the two triangles congruent by SAS postulate, we need to prove angle DAC congruent to angle BAC. Therefore, the correct option is option D.

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A high school student took two college entrance exams, scoring 1070 on the SAT and 25 on the ACT. Suppose that SAT scores have a

antoniya [11.8K]

Answer:

Due to the higher z-score, he did better on the SAT.

Step-by-step explanation:

When the distribution is normal, we use 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.

Determine which test the student did better on.

He did better on whichever test he had the higher z-score.

SAT:

Scored 1070, so $X = 1070$

SAT scores have a mean of 950 and a standard deviation of 155. This means that $\mu = 950, \sigma = 155$ .

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

$Z = \frac{1070 - 950}{155}$

$Z = 0.77$

ACT:

Scored 25, so $X = 25$

ACT scores have a mean of 22 and a standard deviation of 4. This means that $\mu = 22, \sigma = 4$

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

$Z = \frac{25 - 22}{4}$

$Z = 0.75$

Due to the higher z-score, he did better on the SAT.

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aleksklad [387]

I think the rate is decreasing from:
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there are 39 members in a marching band for a food drive each member must bring 3 cans of fruit and 5 cans of soup how many cans

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Answer:

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Step-by-step explanation:

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What would a cd cost if it was originally $13 and had a tax of 6%?

Tasya [4]

$13 x 1.06 = $13.78
The CD costs $13.78 after the tax is added on.

Hope This Helps You!
Good Luck Studying :)

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3 years ago