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Stels [109]
2 years ago
11

The equation of line r is y = 1/2 * x + 1 line runs parallel to line r and passes through (2, 5) what would be the equation of l

ine 8 ?help please

Mathematics
1 answer:
Yakvenalex [24]2 years ago
4 0

Answer:

x - 2y + 8 = 0

Step-by-step explanation:

that is the procedure above

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Jameson is seeking a loan with a simple interest rate of 3% per year. If he wants to borrow $8000, then how much will he be char
Thepotemich [5.8K]

Answer:

$960

Step-by-step explanation:

You are going to want to use the simple interest formula for this. The one below is modified for solving the interest earned.

I=Prt

<em>I = interest amount </em>

<em>P = principal amount </em>

<em>r = interest rate (decimal form) </em>

<em>t = time </em>

The first step is to change 3% into a decimal:

3% -> \frac{3}{100} -> 0.03

Now, lets plug in the values into the equation:

I=8,000(0.03)(4)

I=960

Jameson will be charged $960 of interest after 4 years.

8 0
3 years ago
Find the missing length of the following with midsegment drawn
natulia [17]

Answer:

18

Step-by-step explanation:

RQ = (22+14)/2 = 36/2 = 18

6 0
3 years ago
Read 2 more answers
If m∠a=47°, what is m∠b, m∠c, and m∠d? Explain how you know the measures are correct.
avanturin [10]

m ∠b = 133°, m ∠c = 47°, and m ∠d = 133°.

<h3>Further explanation</h3>

Follow the attached picture. I sincerely hope that's precisely a correct illustration.

We will use a graph of two intersecting straight lines.

Note that m ∠a and m ∠c are vertical angles. Since vertical angles share the same measures, in other words always congruent, we see \boxed{ \ m \ \angle{c} = m \ \angle{a} \ } \rightarrow \boxed{\boxed{ \ m \ \angle{c} = 47^0 \ }}

We continue to determine m ∠b and m ∠d.

Note that m ∠b and m ∠d represent supplementary angles. Recall that supplementary angles add up to 180°.

Let us see the following steps.  

\boxed{ \ m \ \angle{a} + m \ \angle{b} = 180^0. \ }

\boxed{ \ m \ 47^0 + m \ \angle{b} = 180^0. \ }

Both sides subtracted by 47°.

\boxed{ \ m \ \angle{b} = 180^0 - 47^0. \ }

Thus \boxed{\boxed{ \ m \ \angle{b} = 133^0. \ }}

Finally, note that m ∠b and m ∠d are vertical angles. Accordingly, \boxed{ \ m \ \angle{d} = m \ \angle{b} \ } \rightarrow \boxed{\boxed{ \ m \ \angle{d} = 133^0 \ }}

<u>Conclusion:</u>

  • m ∠a = 47°
  • m ∠b = 133°
  • m ∠c = 47°
  • m ∠d = 133°

<u>Notes:</u>

  • Supplementary angles are two angles when they add up to 180°. \boxed{ \ example: \angle{a} + \angle{b} = 180^0 \ }
  • Vertical angles are the angles opposite each other when two lines cross. Note that vertical angles are always congruent, or of equal measure. \boxed{ \ example: \angle{a} = \angle{c} \ }
<h3>Learn more</h3>
  1. About the measure of the central angle brainly.com/question/2115496
  2. Undefined terms needed to define angles  brainly.com/question/3717797
  3. Find out the measures of the two angles in a right triangle brainly.com/question/4302397

Keywords: m∠a = 47°, m∠b, m∠c, and m∠d, 133°, vertical angles, supplementary, 180°, congruent

7 0
3 years ago
Read 2 more answers
Which terms in the expression are like ?
Dennis_Churaev [7]
A, B, and D? I chose those 3 because they all feature the expression a. (I literally just signed up, sorry, I'm still kind of new.)
7 0
3 years ago
Gina opened a bank account with $40. She plans to add $20 per week to the account and not make any withdrawals. After how many w
ZanzabumX [31]

Answer:

After 33 weeks.

Step-by-step explanation:

Let w be number of weeks.

We have been given that Gina opened a bank account with $40. She plans to add $20 per week to the account and not make any withdrawals. So the balance after w weeks will be 20w+40.

To figure out number of weeks Gina will have exactly $700 in her account, we will equate the balance after w weeks to 700.

20w+40=700

Let us subtract 40 from both sides of equation.

20w+40-40=700-40

20w=660

Upon Dividing both sides of our equation by 20 we will get,

\frac{20w}{20}=\frac{660}{20}

w=\frac{660}{20}

w=33

Therefore, after 33 weeks Gina will have exactly $700 in her account, excluding interest.

6 0
3 years ago
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