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3 years ago

Answer this easy question for points! :)

Mathematics

2 answers:

jek_recluse [69]3 years ago

8 0

Answer:

line l║line m

Step-by-step explanation:

See the diagram first.

Statement:

1. ∠ 2 and ∠ 5 are supplementary

Reason:

It is given

Statement:

2. ∠ 3 = ∠ 2

Reason:

They are opposite angles.

Statement:

3. ∠ 3 and ∠ 5 are supplementary

Reason:

As ∠ 3 = ∠ 2

Statement:

4. line l is parallel to line m

Reason:

Consecutive interior angles ∠ 3 and ∠ 5 are supplementary. (Answer)

irinina [24]3 years ago

6 0

Answer:

yes

Step-by-step explanation:

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Rich is comparing the cost of maintaing his car with the depreciating value of the car. When will the cost and value be the same

goldfiish [28.3K]

Complete question:

Rich is comparing the cost of maintaining his car with the depreciation value of the car.

The value starts at $20,000 and decreases by 15% each year. The maintanance cost is $500 the first year and increases by 28% per year.

When will the maintenance cost and the value be the same.

Answer:

9 years

Step-by-step explanation:

Depreciation is modeled by an exponential function :

A = p(1 - r)^t [decrease, '-']

A = 20,000(1 - 0.15)^t

A = 20000(0.85)^t - - - (1)

Maintainace cost :

A = p(1 + r)^t ; [increase, '+']

A = 500(1 + 0.28)^t

A = 500(1.28)^t - - - (2)

Equating (1) and 2

20000(0.85)^t = 500(1.28)^t

1.28^t / 0.85^t = 20000/500

(1.28 / 0.85)^t = 40

Take log of both sides

Log (1.28 / 0.85)^t = log 40

t * 0.1777910 = 1.6020599

t = 1.6020599 / 0.1777910

t = 9.01

t = 9 years

8 0

3 years ago

The value of a jewel in 2015 was $17500. The jewel was purchased in 2008, and its value appreciated 2.5%

ArbitrLikvidat [17]

Answer:

$14722.14

Step-by-step explanation:

We are given that

In 2015

The value of jewel=$17500

Rate of appreciation, r=2.5%

We have to find the initial value of the jewel when it was first bought.

Time, n=7 years

Final value= $Initial\;value (r/100+1)^n$

Using the formula

$17500=Initial\;value(2.5/100+1)^7$

$17500=Initial\;value(1.025)^7$

$Initial\;value=\frac{17500}{(1.025)^7}$

Initial value=$14722.14

Hence, the the initial value of the jewel when it was first bought=$14722.14

5 0

3 years ago

In a nursery class of 18 pupils, the average is 4<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20" id="TexFormula1"

Alisiya [41]

Answer:

The sum of ages of all 18 pupils in the class = 81

Step-by-step explanation:

Total number of pupil in the class = 18

Average of years in the class = $4\frac{1}{2}$

Now, $4\frac{1}{2} = 4 + \frac{1}{2} = 4 + 0.5 = 4.5$

⇒Average of sum of ages in the class = 4.05

Let us assume the sum of ages of all students in the class = m

By the formula for AVERAGE:

$\textrm{Average of n obseravtions} = \frac{\textrm{Sum of n observations}}{\textrm{n}}$

$\implies 4.5 = \frac{m}{18}$

or, m = 18 x 4.5 = 81

Hence, the sum of ages of all 18 pupils in the class = 81

6 0

3 years ago

Read 2 more answers

(i need a hug)<br> 1.776e^23 in stanard form

stepladder [879]

Answer:

*Hugs*

Step-by-step explanation:

https://pad let.com/padang1719/qi9nahg6ovhvm479?utm

Delete Space

6 0

3 years ago

Read 2 more answers

The weights of a certain dog breed are approximately normally distributed with a mean of μ = 55 pounds, and a standard deviation

weqwewe [10]

Answer:

(a)z=-1

(b)48.5 pounds

Step-by-step explanation:

$z-score=\dfrac{x-\mu}{\sigma}$

Given:

Mean, μ = 55 pounds

Standard deviation,σ = 6 pounds.

(a)For a dog that weighs 49 pounds.

x=49 pounds

The z-score

$=\dfrac{49-55}{6}\\=\dfrac{-6}{6}\\\\=-1$

(b)When a dog has a z-score of -1.09

$-1.09=\dfrac{x-55}{6}\\x-55=-6.54\\x=55-6.54\\x=48.46 \approx 48.5$ pounds (to the nearest tenth)$

The weight of a dog with a z-score of -1.09 is 48.5 pounds.

(c)When a dog has a z-score of 1.09

$1.09=\dfrac{x-55}{6}\\x-55=6.54\\x=55+6.54\\x=61.54 \approx 61.5$ pounds (to the nearest tenth)$

The weight of a dog with a z-score of 1.09 is 61.5 pounds.

3 0

3 years ago