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3 years ago

Given the figure below is a parallelogram find m<R

Mathematics

1 answer:

vovangra [49]3 years ago

5 0

Answer:

135+m=180

m=180-135

m=45°

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Consider an equilateral triangle that is small enough to fit in your pocket. Now consider an equilateral triangle that is big en

Simora [160]

Answer:

Step-by-step explanation:

First Question: Equilateral triangles all have the same interior angles. 60 degrees. Size does not make the angles bigger. It makes the sides bigger.

Second Question: No the size does not influence the size of the interior angle.

Third Question: That's true for all polygons. Size is not affect the interior angle size.

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3 years ago

The preimage and image of △DEF are shown

aleksley [76]

Answer:

x+3, y-4

Step-by-step explanation:

You are moving the triangle 3 to the right, so x+3, an 4 down, so y-4.

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3 years ago

A house was valued at $120,000 in the year 1992. The value appreciated to $160,000 by the year 2007.

pochemuha

Answer:

A) 0.0194

B) 1.94%

C) $ 170,000

Step-by-step explanation:

Value of house in 1992 = P = $ 120,000

Value of house in 2007 = S = $ 160,000

Time difference from 1992 to 2007 = 15 years

Part A)

The formula of compound interest is:

$S=P(1+r)^{t}$

P is the original amount i.e. $ 120,000

t is the time in years which is 15 years

S is the amount after t years which is $ 160,000

r is the annual growth rate

Using the values, we get:

$160000=120000(1+r)^{15}\\\\\frac{160000}{120000}=(1+r)^{15}\\\\ \frac{4}{3}=(1+r)^{15}\\\\(\frac{4}{3} )^{\frac{1}{15}}=1+r\\\\ r=(\frac{4}{3} )^{\frac{1}{15}}-1\\\\ r=0.0194$

Thus, the annual growth rate is 0.0194

Part B)

In order to convert a decimal to percentage, simply multiply the decimal by 100.

So, 0.0194 in percentage would be 1.94%

Part C)

We have to find the value of house in 2010 i.e. after 18 years. So t =18

Using the values in the formula, we get:

$S=120000(1+0.0194)^{18}\\\\ S=169584$

Rounded to nearest thousand dollars, the value of the house would be $ 170,000

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3 years ago

Given that 1 inch = 2.54 cm, how many centimeters are there in 6 feet? Answer may be written using decimal form and should be ro

Rainbow [258]

Answer:182.88cm

Step-by-step explanation:

12in in a foot

12in x 6 ft. = 72in

72in x 2.54cm = 182.88cm

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3 years ago

A collector has 180 movie posters and 100 band posters she wants to sell 36 movie posters but she still has her poster collectio

zaharov [31]

Answer:

20 band posters

Step-by-step explanation:

$\frac{36}{180} = \frac{20}{100}$

7 0

4 years ago

Given the figure below is a parallelogram find m<R​

Given the figure below is a parallelogram find m<R