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bearhunter [10]
2 years ago
15

Urgent! Line l is parallel to line m. If the measure of <6 is 75o, what is the measure of <1?

Mathematics
1 answer:
tresset_1 [31]2 years ago
4 0

Answer:

m<1 = 105°

Step-by-step explanation:

<6 and <2 are corresponding angles. Therefore:

m<2 = m<6

Since m<6 = 75°, therefore, m<2 = 75°.

m<1 + m<2 = 180° (linear pair angles)

m<1 = 180° - m<2 (substitution property of equality)

m<1 = 180° - 75° (substitution)

m<1 = 105°

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Decimal Addition
docker41 [41]

4: 0.99

5: 0.66

6: 0.79

7: 5.2

8: 4.86

9: 4.3

I hope I helped! Also, one thing when you adding decimals or multiplying them, pretend the decimal point isn't even there. Then, once you have your answer, you just add the decimal in the middle. Basically just adding like in first grade! Super easy and I hope I helped!

5 0
3 years ago
What is the main difference between investing and saving?
SashulF [63]

Answer:

B.) Investing has the risk of losing principal, whereas saving does not.

Step-by-step explanation:

Saving can be accomplished a number of ways, including putting the money in a cookie jar (where it will not earn interest). Most savings institutions (banks, credit unions, and the like) are governed by rules that help to ensure the availability and safety of the balance. Often, such institutions are insured so that depositors are protected against loss of principal.

Many investment opportunities are governed by no such rules. The invested amount may be unavailable for perhaps a lengthy period of time, and any return on the investment may be dependent upon factors not under the control of the party accepting the money. There is the opportunity for complete loss of the invested amount, and the possibility of incurring additional liability in some cases.

Investment in certificates that are traded on a regulated exchange will be subject to the exchange rules, generally including the requirement that the investor be fully informed of the risks. That doesn't mean there is no risk—it just means the investor is supposed to be made aware of it.

5 0
3 years ago
the sum of three consecutive integers is 78. What is the value of the smallest of the three integers?
CaHeK987 [17]

Answer:

Step-by-step explanation:

Consecutive integers just means like one after another.

This means that:

First number = x

Second number = x + 1

Third number = x + 2

They've told us that the sum of 3 consecutive integers is 78.

First number + second number + third number = 78

Sub the equations we wrote into the formula above and we get:

x + x + 1 + x + 2 = 78

Gather the like terms.

3x + 3 = 78

Subtract 3 from both sides.

3x = 78-3 = 75

Divide both sides by 3 to solve for x.

x = 75/3 = 25

If you look at the very beginning we said that the first number = x.

Therefore it is 25.

Second number = x + 1 = 26

Third number = x + 2 = 27

8 0
3 years ago
What is the answer when you evaluate n + m -2(m-m) when m = 3 and n = 2?
Effectus [21]

Answer:

5

Step-by-step explanation:

n + m -2(m-m)

Combine like terms

n+m+2(0)

n+m

Let m=3 and n=2

2+3

5

7 0
3 years ago
What are the potential solutions of log4x+log4(x+6)=2?
lions [1.4K]

The potential solutions of log_4x+log_4(x+6)=2 are 2 and -8.

<h3>Properties of Logarithms</h3>

From the properties of logarithms, you can rewrite logarithmic expressions.

The main properties are:

  • Product Rule for Logarithms - log_{b}(a*c)=log_{b}a+log_{b}c
  • Quotient Rule for Logarithms - log_{b}(\frac{a}{c} )=log_{b}a-log_{b}c
  • Power Rule for Logarithms - log_{b}(a^c)=c*log_{b}a

The exercise asks the potential solutions for  log_4x+log_4(x+6)=2. In this expression you can apply the Product Rule for Logarithms.

                                  log_4x+log_4(x+6)=2\\ \\ x*(x+6)=4^2\\ \\ x^2+6x=16\\ \\ x^2+6x-16=0

Now you should solve the quadratic equation.

 

 Δ=b^2-4ac=36-4*1*(-16)=36+64=100. Thus, x will be x_{1,\:2}=\frac{-6\pm \:\sqrt{100} }{2\cdot \:1}=\frac{-6\pm \:10}{2}. Then:

x_1=\frac{-6+10}{2}=\frac{4}{2} =2\\ \\ \:x_2=\frac{-6-10}{2}=\frac{-16}{2} =-8

The potential solutions  are 2 and -8.

Read more about the properties of logarithms here:

brainly.com/question/14868849

4 0
2 years ago
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