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kvv77 [185]
2 years ago
14

Triangle ABC is an isosceles triangle. Angles B and C are base angles, with measurements of (11x −10)° and (7x + 10)°, respectiv

ely. What is m∠A?
Group of answer choices

90°

85°

35°

5°
Mathematics
1 answer:
Ulleksa [173]2 years ago
7 0

Answer:

m∠A = 90°

Step-by-step explanation:

In isosceles triangle base angles are congruent. That means we can equate measurments of angle B and angle C and solve for x!

m∠B = m∠C

11x - 10 = 7x + 10

4x - 10 = 10

4x = 20

x = 5

Now let's insert x back in the expressions for angles.

m∠B = (11x − 10)° = (11(5) − 10)° = 45°

m∠C = (7x + 10)° = (7(5) + 10)° = 45°

<u>Sum of all angles in the triangle is 180°.</u> Let's make an equation.

m∠A + m∠B + m∠C = 180°

m∠A + 45°+ 45° = 180°

m∠A  = 90°

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1) On a standardized aptitude test, scores are normally distributed with a mean of 100 and a standard deviation of 10. Find the
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Answer:

A) 34.13%

B)  15.87%

C) 95.44%

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Step-by-step explanation:

To find the percent of scores that are between 90 and 100, we need to standardize 90 and 100 using the following equation:

z=\frac{x-m}{s}

Where m is the mean and s is the standard deviation. Then, 90 and 100 are equal to:

z=\frac{90-100}{10}=-1\\ z=\frac{100-100}{10}=0

So, the percent of scores that are between 90 and 100 can be calculated using the normal standard table as:

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At the same way, we can calculated the percentages of B, C, D, E and F as:

B) Over 110

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P( 80

D) less than 80

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Read 2 more answers
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NNADVOKAT [17]

Answer:

99 minutes, or an hour and 39 minutes.

Step-by-step explanation:

It takes Emma 18 minutes to do 14 pages. That means that we can set up a proportion, where Emma uses 18 minutes to do 14 pages, which is equal to x minutes per page!

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So, it will take Emma 99 minutes, or an hour and 39 minutes, to type and spell check 77 pages.

Hope this helps!

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