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Sever21 [200]
3 years ago
15

It’s less than 60 and greater than 55. If you add the digits the sum is 13.

Mathematics
1 answer:
labwork [276]3 years ago
6 0

58

Between 60 and 55, 5+8=13

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2/5of a number is 80. What is 34of the same number?
Masja [62]

Answer:

150

Step-by-step explanation:

First you have to find what number 80 is 2/5 of, to do this do the reciprocal of 2/5 which would be 5/2. Multiply 80 by 5/2 and you'll get 200, then find what 3/4 of 200. Multiply 200 by 3, then divide by 4 to get the answer of 150.

3 0
3 years ago
Ian has the option of purchasing or renting a home. The purchase option requires a loan of $100,000 for a 20-year term at a 4.9%
jenyasd209 [6]

Answer:

The correct answer to the following question will be "70.56".

Step-by-step explanation:

The given values are:

Loan requires, PV = $100,000

Years = 20

Number of months, n = 240

Rate interest = 4.90000%

Monthly rate, r = 0.408333%

Monthly rental payment = $725

As we know,

PV=PMT\times (\frac{1}{r})\times [1-[\frac{1}{(1+r)^n}]]

On putting the values in the above formula, we get

⇒  100000=PMT\times (\frac{1}{0.004083333})\times [1-(\frac{1}{(1+0.004083333^{240})})]

⇒  100000=PMT\times 152.8014557

⇒  PMT=\frac{100000}{152.8014557}

⇒  PMT=654.44

Now,

Saving \ Per \ Month =Rent \ per \ month-PMT

On putting the values, we get

⇒                             =725-654.44

⇒                             =70.56

3 0
3 years ago
In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving that lines
lisabon 2012 [21]

To enable the completion of the proof that line <em>l</em> is parallel to line <em>m</em>, a

diagram showing the lines and their common transversal is attached.

The completed two column proof is presented as follows;

Statement  {}                                                      Reason

1. ∠1 and ∠2 are supplementary angles  {}   1. Given

2. m∠1 + m∠2 = 180°   {}                                 2. <u>Definition of supplementary ∠s</u>

3. ∠1 and ∠3 are supplementary angles  {}  3. Exterior sides in opposite rays  

4. <u>m∠1 + m∠3 = 180° </u>    {}                                4. <u>Definition of supplementary ∠s</u>

5. m∠1 + m∠2 = m∠1 + m∠3      {}                   5. <u>Transitive property of equality</u>

6. <u>m∠2 = m∠3 </u>     {}                                        6. <u>Subtraction property of equality</u>    

7. l ║ m      {}                                                   7. <u>Converse of alternate interior </u>

    {}                                                                      <u>angles postulate</u>

Reasons:

  • Reason for statement 2: Supplementary angles are defined as two angles that sum up to 180°

  • Reason for statement 3: Two angles are supplementary if the exterior sides that form each angle are opposite rays (rays that are drawn out infinitely in opposite direction but have the same endpoint)

  • Statement 4: Mathematical expression of the sum of ∠1 and ∠3; Reason for statement 4 is the definition of supplementary angles

  • Reason for statement 5: Transitive property of equality describes the property that if a number <em>x</em> = <em>y</em>, and <em>z </em>= <em>y</em>, then <em>x</em> = <em>z</em>.

  • Statement 6: Subtracting m∠1 from both sides of the equation in statement 5. gives; m∠1 + m∠2 - m∠1 = m∠1 + m∠3 - m∠1 ⇒ m∠2 = m∠3. Reason for statement 6 is the subtraction property of equality

  • Reason for statement 7: The converse of the alternate interior angles postulate states that if the alternate interior angles formed between two  lines and a common transversal are congruent, the two lines are parallel.

Learn more here:

brainly.com/question/25178453

6 0
2 years ago
Find the value of x so that the function has the given value.<br><br> t(x)=-4x-5 <br><br> t(x)=3
Sveta_85 [38]

Answer:

x = 8 since 3 × 8 = 24

4 0
2 years ago
What is the exact value of cos 45° ?
Georgia [21]
Let the two sides of a right triangle be equal to one, which means that the hypotenuse is √2

Since cosa=adjacent side / hypotenuse

cos45=1/√2

We can rationalize the denominator by multiplying numerator and denominator by √2

√(2)/2

or if you prefer:  √(1/2)
3 0
3 years ago
Read 2 more answers
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