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4 years ago

Angles

Mathematics

1 answer:

coldgirl [10]4 years ago

4 0

<h3>Answer: XWY and STR</h3>

I tend to think of parallel lines as train tracks (the metal rail part anyway). Inside the train tracks is the interior region, while outside the train tracks is the exterior region. Alternate exterior angles are found here. Specifically they are angles that are on opposite or alternate sides of the transversal cut.

Both pairs of alternate exterior angles are shown in the diagram below. They are color coded to help show how they pair up and which are congruent.

A thing to notice: choices B, C, and D all have point W as the vertex of the angles. This means that the angles somehow touch or are adjacent in some way due to this shared vertex point. However, alternate exterior angles never touch because parallel lines never do so either. We can rule out choices B,C,D from this reasoning alone. We cannot have both alternate exterior angles on the same exterior side of the train tracks. Both sides must be accounted for.

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Find common ratio and series sum

Artyom0805 [142]

Answer:

Her total harvest over the

first 5 years that she owns the farm is 11277 kg

Step-by-step explanation:

Maggie is starting a small farm. In her first year, she harvests 90.000 kilograms of kale.

As she gets better at planting, fertilizing and pest control,

each year her harvest increases by 3%.

So,

In First year

She owns 90,000 kg

In Second year

She owns 90,000 kg and her harvest is increases by 3%.

i.e.,

90000 × 3 ÷ 100 = 2700

So, The increase in 90,000 kg kale is 2,700

Now,

90,000 + 2,700 = 92,700 kg

In Third year

She owns 92,700 kg and her harvest is increases by 3%.

i.e.,

92700 × 3 ÷ 100 = 2781

So, The increase in 92,700 kg kale is 2781

Now,

92,700 + 2,781 = 95,481 kg

In Fourth year

She owns 95,481 kg and her harvest is increases by 3%.

i.e.,

95481 × 3 ÷ 100 = 2846

So, The increase in 95,481 kg kale is 2846

Now,

95,481 + 2,846 = 98,345 kg

In Fifth year

She owns 98,354 kg and her harvest is increases by 3%.

i.e.,

98354 × 3 ÷ 100 = 2950

So, The increase in 98354 kg kale is 2950

Now,

98354 + 2950 = 101,295 kg

Now,

In First five years She owns

2700 + 2781 + 2846 + 2950 = 11277 kg

Thus, her total harvest over the first 5 years that she owns the farm is 11277 kg

<u>-TheUnknownScientist</u>

6 0

3 years ago

Sharon will borrow $3400 at 11% APR. She will pay it back over 18 months. What will her monthly payment be?

omeli [17]

The first step to calculate the APR is to calculate the interest rate per $100

Here Interest rate = 11%

Term or time of repayment = 18 months

interest per $100 =

$100 × 11% × $\frac{18}{12}$

= $16.50

Now we should calculate the interest part for $3400 for 18 months

$\frac{3400}{100}$ × $\frac{16.50}{18}$

= $31.12

So $ 31.17 is the interest part of the repayment amount

Now lets calculate the principal part which would be $ 3400 divided equally for 18 months

$\frac{3400}{18} = $188.89$

Now to find the final payment we add the interest and the principal part

$31.17+$188.89 = $220.06

Hence option D is the right answer

5 0

3 years ago

Read 2 more answers

Find the length of DE. Round to the nearest hundredth. (Picture included)

LenKa [72]

Notice the picture
we have, the opposite side
the angle
and we want the hypotenuse

so recall your SOH CAH TOA $\bf sin(\theta)=\cfrac{opposite}{hypotenuse}
\qquad \qquad 
% cosine
cos(\theta)=\cfrac{adjacent}{hypotenuse}

\\ \quad \\\\
% tangent
tan(\theta)=\cfrac{opposite}{adjacent} =$

which one has all that? low and behold, is Ms Sine,
so let's bother Ms Sine

$\bf sin(\theta)=\cfrac{opposite}{hypotenuse}\implies sin(27^o)=\cfrac{18}{hypotenuse}
\\\\\\
hypotenuse=\cfrac{18}{sin(27^o)}$

make sure your calculator is in Degree mode, since the angle here is in degrees, as opposed to Radian mode