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Anna35 [415]
2 years ago
12

Are the triangles similar? If so, state the similarity and the postulate or theorem that justifies your answer.

Mathematics
1 answer:
malfutka [58]2 years ago
6 0

The triangles are similar by SAS principle.

<h3>How to know similar triangles?</h3>

Similar triangles have the same shape but may have different sizes.

In similar triangles, corresponding sides are always in the same ratio.

The corresponding angles are congruent.

Therefore, using SAS ratio,

6 / 8 = 8 × 3 / 32

6 / 8  = 24 / 32 = 3 / 4

Therefore, the corresponding sides are a ratio of each other.

Therefore, the triangles are similar by SAS principles because the two triangles have two pairs of sides in the same ratio and the included angles are also equal

learn more on similar triangle here: brainly.com/question/21480885

#SPJ1

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Determine whether each pair of ratios are equivalent ratios. Write yes or no.
Novay_Z [31]

Answer:

1. Yes

2. Yes

Step-by-step explanation:

1. 9/11 is equal to 81/99 because if you simplify 81/99 (divide by 9), you get 9/11.

2. 29.2/10.4 is equal to 7.3/2.6 because when divided, they both equal to 2.807692308.

5 0
3 years ago
The Intelligence Quotient (IQ) test scores for adults are normally distributed with a population mean of 100 and a population st
adell [148]

Answer: 0.7471

Step-by-step explanation:

Given : The Intelligence Quotient (IQ) test scores for adults are normally distributed with a population mean of \mu=100 and a population standard deviation of \sigma=15.

Sample size = 50

Using formula z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}, the z-value corresponding to x=98 will be:-

z=\dfrac{98-100}{\dfrac{15}{\sqrt{50}}}\approx-0.94

Z-value corresponding to x=103 will be:-

z=\dfrac{103-100}{\dfrac{15}{\sqrt{50}}}\approx1.41

Using the standard normal distribution table for z-scores, we have

P-value = P(98

Hence, the  probability we could select a sample of 50 adults and find that the mean of this sample is between 98 and 103 = 0.7471

8 0
4 years ago
The capacity of a container is 2060 milliliters. convert this to liters
Y_Kistochka [10]
2.06 liters. divide by 1000
8 0
4 years ago
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The morning temperature was at 23.5° F. Later that evening the temperature had dropped to 15.6° F. What was the change in temper
salantis [7]

Answer:

Jake's answer is true; the change in temperature is -7.9° F.

Step-by-step explanation:

The change in temperature is the final value minus the initial value. Evening minus the morning.

The final value is 15.6° F, the initial value is 23.5° F.

So 15.6 - 23.5 = -7.9

Jake's answer is true.

3 0
3 years ago
Solve for x<br> 5x - 10&gt; 20 or 5x – 105-15<br> -13x&lt;6<br> x3_5 orx&gt;6<br> 3-1 or x&gt;6
matrenka [14]

Answer:

please retype question I don't get it

7 0
4 years ago
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