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Maru [420]
3 years ago
11

Help on using the figure to find measure of each angle.

Mathematics
1 answer:
Sloan [31]3 years ago
3 0

Answer:

Triangle ABC is equal and that means all angles are the same

Step-by-step explanation:

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Describe and correct the error the student made when writing the equation of the line that passes through (-8,5)
pshichka [43]

Option D (The student should have used  as the slope of the perpendicular line.) is correct.

Step-by-step explanation:

We need to identify the error that the student made in finding equation of the line that passes through (-8,5)  and is perpendicular to y = 4x + 2

The slope of the required line would me -1/m because both lines are perpendicular.

So, slope of new line will be: -1/4

because the equation of slope-intercept form is: y=mx+b where m is the slope

Now, for finding equation the student used point slope form i.e y-y_1=m(x-x_1)

where y_1 and x_1 are the points and m is the slope.

Putting values:

x_1=-8, y_1=5 and m=-1/4

y-5=-\frac{1}{4}(x-(-8))\\y-5=-\frac{1}{4}(x+8)\\y-5=-\frac{1x}{4}-2\\y=-\frac{1x}{4}-2+5\\y=-\frac{1x}{4}+3

This is the correct solution.

The student made error by using the wrong slope he used 2 instead of -1/4

in the step y-5 = 2(x-(-8))

So, Option D (The student should have used  as the slope of the perpendicular line.) is correct.

Keywords: Equation of line using Slope  

Learn more about Equation of line using Slope at:

  • brainly.com/question/4819659
  • brainly.com/question/4097107
  • brainly.com/question/1979240

#learnwithBrainly

3 0
3 years ago
Read 2 more answers
Given negative four and one sixth times negative three and fifteen hundredths, determine the product.
Contact [7]

The sum of the digits, B. thirteen and one eighth, is the product of the numerals.

<h3>How do you compute the value of the product?</h3>

According to the data, we are in the negative four hundred and one-sixth times the negative three hundred and fifteen-hundredths range.

This is going to be the product:

= (-4 1/6) × (-3 15/)

= - 4 1/6 × 3 3/20

= - 25/6 × -63/20

x= 13 1/8

In conclusion, The answer that you should choose is an option (d), which is thirteen and one-eighth.

Find out more about the product by visiting:

brainly.com/question/10873737

#SPJ1

3 0
2 years ago
The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increas
Mazyrski [523]

Answer:

The population in 40 years will be 1220.

Step-by-step explanation:

The population of a town grows at a rate proportional to the population present at time t.

This means that:

P(t) = P(0)e^{rt}

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.

The initial population of 500 increases by 25% in 10 years.

This means that P(0) = 500, P(10) = 1.25*500 = 625

We apply this to the equation and find t.

P(t) = P(0)e^{rt}

625 = 500e^{10r}

e^{10r} = \frac{625}{500}

e^{10r} = 1.25

Applying ln to both sides

\ln{e^{10r}} = \ln{1.25}

10r = \ln{1.25}

r = \frac{\ln{1.25}}{10}

r = 0.0223

So

P(t) = 500e^{0.0223t}

What will be the population in 40 years

This is P(40).

P(t) = 500e^{0.0223t}

P(40) = 500e^{0.0223*40} = 1220

The population in 40 years will be 1220.

7 0
4 years ago
What is 5 and 9 25 ad an improper fraction
natta225 [31]
134/25! I hope I helped!
3 0
3 years ago
Read 2 more answers
Which correctly gives the location of the point (–14, 3)? A. Quadrant I B. Quadrant II C. Quadrant III D. Quadrant IV
dedylja [7]
The answer is B. Quadrant II

Just remember this concept instead.

3 0
3 years ago
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