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Alexxx [7]
3 years ago
15

Which pair of angles are vertical angles?

Mathematics
2 answers:
Darina [25.2K]3 years ago
6 0
The answer would be D.) ∠ERT and ∠MRC
Irina-Kira [14]3 years ago
3 0

Answer:

Option 4.∠ERT and ∠MRC

Step-by-step explanation:

Definition of vertical angles  : The angles opposite each other when two lines cross. They are always equal.Vertical" refers to the vertex (where they cross).They are also called vertically opposite angles.

Option 1. ∠KRC and ∠CRH

Refer the figure .

These angles does not satisfy the definition of vertical angles . since these angles are not opposite.

Option 2. ∠KRE and ∠ERT

These angles does not satisfy the definition of vertical angles . since these angles are not opposite.

Option 3. ∠MRC and ∠KRM

These angles does not satisfy the definition of vertical angles . since these angles are not opposite.

Option 4.∠ERT and ∠MRC

MT and EC are the two lines that cross each other at vertex R ,

Thus ∠ERT and ∠MRC are opposite to each other .

Hence ∠ERT and ∠MRC are pair of vertcal angles .



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ch4aika [34]

Answer:

\ln x+\frac{1}{3}\ln (x^2+1)

Step-by-step explanation:

Consider the given expression is

\ln (x\sqrt[3]{x^2+1})

We need to rewrite the expression as a sum,difference,or multiple of logarithms.

\ln (x(x^2+1)^{\frac{1}{3}})        [\because \sqrt[n]{x}=x^{\frac{1}{n}}]

Using the properties of logarithm we get

\ln x+\ln (x^2+1)^{\frac{1}{3}}         [\because \ln (ab)=\ln a+\ln b]

\ln x+\frac{1}{3}\ln (x^2+1)        [\because \ln (a^b)=b\ln a]

Therefore, the simplified form of the given expression is \ln x+\frac{1}{3}\ln (x^2+1).

6 0
3 years ago
15z-7=14z+12 What does Z equal​
Anika [276]

Answer:

19

Step-by-step explanation:

15z-14z=12+7

z=19

8 0
3 years ago
You are applying for an 80/20 mortgage to buy a house costing $145,000. The first (80%) mortgage has an interest rate of 4.75%,
babymother [125]

Answer:

$291,016.80

A is correct.

Step-by-step explanation:

You are applying for an 80/20 mortgage to buy a house costing $145,000.

Loan Formula:

EMI=\dfrac{P\cdot r}{1-(1+r)^{-n}}

Case 1:

Loan amount, P = 80% of 145000 = $ 116,000

Rate of interest, r = 4.75% = 0.0475

Time of loan, n = 30 years = 360 months

Substitute the values into formula.

EMI=\dfrac{116000\cdot \frac{0.0475}{12}}{1-(1+\frac{0.0475}{12})^{-360}}

EMI=605.11

Total payment for case 1: 605.11 x 360 = $217,839.60

Case 2:

Loan amount, P = 20% of 145000 = $ 29,000

Rate of interest, r = 4.75% = 0.07525

Time of loan, n = 30 years = 360 months

Substitute the values into formula.

EMI=\dfrac{29000\cdot \frac{0.07525}{12}}{1-(1+\frac{0.07525}{12})^{-360}}

EMI=203.27

Total payment for case 1: 203.27 x 360 = $73,177.20

Total amount of the mortgage = $217,839.60 + $73,177.20

                                                    = $291,016.80

Hence, The total amount of the mortgage is $291,016.80

3 0
3 years ago
A school cafeteria uses 10
gladu [14]

Using proportions, it is found that there are 5 cups of milk in each bowl of chocolate pudding.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The cafeteria used 10 quarts for 8 bowls, hence the number of quarts per bowl is:

10/8 = 1.25

Each quart has 4 cups, hence the number of cups is:

4 x 1.25 = 5 cups.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

8 0
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Mila [183]
5.231.281 : 70.323 = 74,3 people per square mile
or 74 people per square mile
7 0
3 years ago
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