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Firdavs [7]
3 years ago
12

I need help with this question.. Please

Mathematics
1 answer:
Dvinal [7]3 years ago
6 0

\text{If}\ \triangle ABC\cong\triangle DE F, \text{then}\\\\m\angle A=m\angle D,\ m\angle B=m\angle E\ \text{and}\ m\angle C=m\angle F\\\\\text{Therefore we have the equation:}\\\\8x-1=87\qquad\text{add 1 to both sides}\\\\8x=88\qquad\text{divide both sides by 8}\\\\\boxed{x=11}\\\\\text{We know, the sum of measures of the angles in a triangle is 180}^o.\\\\\text{Therefore:}\\\\m\angle F=180^o-(42^o+87^o)\\\\m\angle F=180^o-129^o\\\\m\angle F=51^o\\\\\text{We have the equation:}

3y=51\qquad\text{divide both sides by 3}\\\\\boxed{y=17}\\\\Answer:\ \boxed{x=11\ and\ y=17}

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A random sample of 11 fields of rye has a mean yield of 20.1 bushels per acre and standard deviation of 7.66 bushels per acre. D
Lady bird [3.3K]

Answer:

17.1≤x≤23.1

Step-by-step explanation:

The formula for calculating the confidence interval is expressed as;

CI = x ± z*s/√n

x is the mean yield = 20.1

z is the 80% z-score = 1.282

s is the standard deviation = 7.66

n is the sample size =  11

Substitute

CI = 20.1 ± 1.282*7.66/√11

CI = 20.1 ± 1.282*7.66/3.3166

CI = 20.1 ± 1.282*2.3095

CI =  20.1 ±2.9609

CI = (20.1-2.9609, 20.1+2.9609)

CI = (17.139, 23.0609)

hence the required confidence interval to 1dp is 17.1≤x≤23.1

8 0
3 years ago
An economist studying fuel costs wants to estimate the mean price of gasoline in her state on a certain day. On that day, she ta
irina1246 [14]

Answer:

($2.19,$2.39)

Step-by-step explanation:

khan

6 0
3 years ago
What is the exponent of 10? <br><br> (Thank you for helping!)
Lemur [1.5K]

Answer:

exponent is 0

Step-by-step explanation:

8 0
2 years ago
You make picture frames to sell at the flea market; you spent $46 on supplies and you want to sell the frames for $8.50 each. Ho
BARSIC [14]
<h3>Answer: 6 Frames</h3>

Before we start, let us figure out what profit means?

Profit is the money you make.

Note: Income is the money you receive, and expenses are the money you spend on your business.

If you sold five frames, you would make: (8.50 x 5 = $42.50)

Note: $42.50 <u>is not</u> greater than your expenses, so you haven't make any profit yet.

If you sold six frames, you would make: (8.50 x 6 = $51.00)

Note: $51.00 <u>is</u> greater than your expenses, so you made some profit.

<h3>Additional Information</h3>

To find the money you made or your profit, simply subtract the money you received from your expenses.

$51.00 - $46.00 = $5.00

You only made <u>$5.00</u>, but to make a larger profit, you have to sell more frames.

<h3>Conclusion</h3>

I hope my explanation provided excellent aid. Oh, and you're welcome.

3 0
3 years ago
Simplifying expressions with integers 54-c+3c2-10 <br> please i need help!!
Snowcat [4.5K]
54-c+3cx2-10
Calculate the product:
54-c+6c-10
Subtract:
44-c+6c
Collect like terms:
44+5c
Answer: 44+5c
6 0
3 years ago
Read 2 more answers
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