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3 years ago

Solve for x. Each figure is a parallelogram.

Mathematics

2 answers:

Yuki888 [10]3 years ago

6 0

Answer:

A)4

Step-by-step explanation:

degree measure of the 4 angles of a trapezoid is 360

since we have only 2 angles, 360/2

180=125+(14x-1)

180-125=125+(14x-1)-125

55=14x-1

55+1=14x-1+1

56=14x

4=x or x=4

hope this helps!

Nutka1998 [239]3 years ago

4 0

Answer:

x = 4

Step-by-step explanation:

The interior angles of a parallelogram always add up to 360 degrees.

We already know that one of the angles is 125 degrees, so we can subtract 125 from 360, leaving us with 235.

The angle right across from the 125 angle is congruent to it and so now we can subtract another 125 from 235, leaving us with 110 degrees.

There are 2 angles left, they are both the same measurement, so we can divide 110 by 2, leaving us with 55.

This means that 14x - 1 = 55

Time to find x

First, we are going to add 1 to both sides in order to cancel it out.

14x - 1 + 1 = 55 + 1

14x = 56

Now, we are going to divide both sides by 14 in order to cancel it out.

14/14 x = 56/14

x = 4

Hope this helps!

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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

7 0

3 years ago

You help your dad build a dog house for your dog. You tell him that it would be easy to build a dog house in the shape of a tent

Effectus [21]

3 feet tall
If it is in the shape of a tent and the floor is 8 feet across half of it cut down the middle would be 4 ft, you create a right triangle and can use the Pythagorean theorem to solve for the height. 5 is the hypotenuse and 4 is a leg.
a^2 + b^2 = c^2
Plug in the values known
4^2 +b^2 = 5^2
simplify
16+b^2=25
subtract 16 from both sides
b^2=9
take the square root of both sides
b=3 the hight is 3 ft

6 0

3 years ago

Don's Car Rentals charges a flat rate of $35 per day plus $2 per mile. If the number of miles is represented by m, what is the a

Mumz [18]

Given that, Don's Car Rentals charges a flat rate of $35 per day plus $2 per mile.

The number of miles is represented by m.

For 1 mile the charge is $2. So, for m miles the charges will be 2m.

Since, Don's Car Rentals charges a flat rate of $35 per day .

So, total charge must be the sum of 35 and 2m.

Hence, the algebraic expression representing the overall rate for the day is

35 + 2m.

Hope this helps you.

6 0

3 years ago

What is the reciprocal of<br> 4/7

denis23 [38]

Answer:

7/4

Step-by-step explanation:

it just is

4 0

2 years ago

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Find the value of x. Type the answer in the box below.

Yakvenalex [24]

Answer:

cross multiply

Step-by-step explanation:

7 0

3 years ago

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