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3 years ago

What does it mean when two lines are parallel? What does this tell you about the equations?

Mathematics

2 answers:

Dahasolnce [82]3 years ago

5 0

Answer:

it means that the 2 lines will never meet, and that there will be no point where 2 things are the same amount

pychu [463]3 years ago

3 0

Answer: lines going in the same direction at a same space without intersecting

Step-by-step explanation:

imagine two rulers on a desk just straight. they dont touch, and they can go on forever.

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A 10-ft vertical post casts a 14-inch shadow at the same time a nearby cell phone tower cast a 119-ft shadow. How tall is the ce

Yakvenalex [24]

Answer:

The cellphone towers height is 1020 ft.

Step-by-step explanation:

This question is solved using proportions, by a rule of three.

A 10-ft post casts a 14-inch shadow.

Each feet has 12 inches, which means that a post with 10 feet will cast a 14/12 = 1.167 ft shadow. How tall is the cell-phone tower with a 119-feet shadow?

10 feet post - 1.167 ft shadow

x feet tower - 119 feet shadow

Applying cross multiplication:

$1.167x = 10*119$

$x = \frac{1190}{1.167}$

$x = 1020$

The cellphone towers height is 1020 ft.

8 0

3 years ago

Scott started his banking account with $150 and is spending $7 per day on lunch what would the x axis be labeled

Mariulka [41]

X: number of days
y: money available

8 0

3 years ago

Hi everybody! I need help, and this question is worth TEN points!

harkovskaia [24]

Answer:

Step-by-step explanation:

we know,

The Angle Addition Postulate states that: If a point lies in the interior of an angle, then the postulate describes that putting two angles side by side with their vertices together creates a new angle whose measure equals the sum of the measures of the two original angles.

Here, W is the internal point.

The two angles are UVW and WVX.

Now, by the angle addition postulate,

UVX is equal to the sum of UVW and WVX.

Hence, the reason is-

Angle Addition Postulate

5 0

3 years ago

A photo album costs $10.49 before discount and tax.

Gemiola [76]

Answer:

Total after tax and discount is $7.78

Step-by-step explanation:

(10.49×0.3)= 3.15

10.49 - 3.15 = 7.34

(7.34×0.06)= 0.44

7.34 + 0.44 = 7.78

7 0

3 years ago

Consider a home mortgage of $225,000 at a fixed APR of 4.5 % for 30 years. a. Calculate the monthly payment. b. Determine the

White raven [17]

<u>The formula for the monthly payment</u>.....

$M= \frac{P(1+r)^nr}{[(1+r)^n] -1}$ , where P = the principal amount, r = the monthly interest rate and n = the total number of months.

Here annual interest rate is given as 4.5%

So, the monthly interest rate $=\frac{4.5\%}{12}= 0.375\% = 0.00375$

Total number of months $= (30*12)months=360 months$

Also given that, the principal amount is $225000

a. So, the monthly payment will be.....

$M= \frac{P(1+r)^nr}{[(1+r)^n] -1}\\ \\ M= \frac{225000(1+0.00375)^3^6^0*0.00375}{(1+0.00375)^3^6^0 -1}\\ \\ M= \frac{225000(1.00375)^3^6^0*0.00375}{(1.00375)^3^6^0 -1} \\ \\ M \approx 1140$

Thus, the monthly payment will be approximately $1140

b. The <u>total amount paid</u> over the term of the loan will be: $\$ 1140*360 months = \$ 410400$

c. As the principal amount was $225000 , so the amount of interest $= (\$ 410400- \$ 225000)= \$ 185400$

So, the percentage of amount that is paid toward the principal $=\frac{225000}{410400}*100\% =54.82\%$

and the percentage of amount that is paid toward the interest $=\frac{185400}{410400}*100\%=45.18\%$

4 0

3 years ago