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natta225 [31]
3 years ago
11

Geometry math question

Mathematics
2 answers:
lawyer [7]3 years ago
4 0

Supplementary angles add up to 180

so (2x + 3) + (3x + 2) = 180

.

<u>Solve x:</u>

2x + 3 + 3x + 2 = 180

5x + 5 = 180

5x = 175

x = 35

.

<u>Find the angles:</u>

One angle = (2x + 3) = 2(35) + 3 = 73°

Other angle = (3x + 2) = 3(35) + 2 = 107°

.

Answer: The two angles are 73° and 107°

Paladinen [302]3 years ago
4 0

Because this angles are supplementary,

(2x+3)+(3x+2) = 180

5x+5=180

5x=175

x=35

2x+3=2*35 + 3 = 73⁰

3x+2=3*35+2 =107⁰

Answer is B.

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Vitek1552 [10]
To solve this we are going to use the future value of annuity due formula: FV=(1+ \frac{r}{n} )*P[ \frac{(1+ \frac{r}{n})^{kt}-1 }{ \frac{r}{n} } ]
where
FV is the future value
P is the periodic deposit 
r is the interest rate in decimal form 
n is the number of times the interest is compounded per year
k is the number of deposits per year

We know for our problem that P=420 and t=15. To convert the interest rate to decimal form, we are going to divide the rate by 100%: r= \frac{10}{100} =0.1. Since Ruben makes the deposits every 6 months, k=2. The interest is compounded semiannually, so 2 times per year; therefore, k=2.
Lets replace the values in our formula:

FV=(1+ \frac{r}{n} )*P[ \frac{(1+ \frac{r}{n})^{kt}-1 }{ \frac{r}{n} } ]
FV=(1+ \frac{0.1}{2} )*420[ \frac{(1+ \frac{0.1}{2})^{(2)(15)}-1 }{ \frac{01}{2} } ]
FV=29299.53

We can conclude that the correct answer is <span>$29,299.53</span>
8 0
3 years ago
Simplify 10(N + 3).<br><br> 10N + 30<br> 10N + 13<br> 10N + 3
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3 0
3 years ago
Read 2 more answers
In a competitive examination negative marks of 2 are awarded for each wrong answers and 4 marks for every correct answer. If nee
Alex777 [14]

9514 1404 393

Answer:

  Rajan gets 6 marks more

Step-by-step explanation:

Neerav's marks are (15)(4) +(5)(-2) = 60 -10 = 50.

Rajan's marks are (14)(4) = 56.

Rajan gets 6 more marks than Neerav.

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2 years ago
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Salsk061 [2.6K]
The answer is 19.6 cm^2


you should find the height of the triangle by heron formula: it will be 9.8

so the area is
(9.8 \times 4 ) \div 2= 39.2 \div 2 = 19.6



good luck
8 0
3 years ago
A craft store buys 50 yards of satin ribon for $12.50. The store sells the ribbon by the foot. A customer can purchase 5 feet of
amm1812

Answer:

$8.1

Step-by-step explanation:

Convert 45 yards of ribbon to feet through proper conversion factor.  

  (45 yards)(3 ft / 1 yard) = 135 feet

Divide this number by 5 to determine the number of 5-ft ribbon that customers can purchased.

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Then, multiply by $0.80.

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    P = $21.6 - $13.50 = $8.1

Answer: $8.1

8 0
3 years ago
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