Richard and Linda enjoy visiting Hilton Head Island, South
Carolina. The distance from their home to Hilton Head is
975 mi, so the drive takes them 2 days. Richard and Linda
travel twice as far the first day as they do the second day.
How many miles do they travel each day?

∠P = 40°; ∠S = 140° answer

Step-by-step explanation:

The measures of angles of the parallelogram are ∠P = 140°; ∠S = 40°

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the parallelogram be represented as PQRS

Now , the measures of angles of parallelogram are

The measure of m∠Q = ( x + 15 )°

The measure of m∠P = ( 6x - 10 )°

where ∠Q and ∠R are supplementary to each other

For a parallelogram , same-side interior angles (consecutive angles) are supplementary

On simplifying , we get

m∠Q + m∠P = 180°

( x + 15 ) + ( 6x - 10 ) = 180

7x + 5 = 180

Subtracting 5 on both sides , we get

7x = 175

Divide by 7 on both sides , we get

x = 25

And , the measure of ∠Q = 40° = measure of ∠S

The measure of ∠R = 140° = measure of ∠P

Hence , the measures of angles of parallelogram are solved

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Answer:

13.5

Step-by-step explanation:

the answer is 13.5, because you do the proportionate equations of 6/4 = x/9, and then you cross multiply to get 4x=54, and then you isolate x, so the answer is 13.5

Answer:

Step-by-step explanation:

3(x-3)+x(r+4)

3x-9+xr+4x

7x+9+xr

Answer:

6

Step-by-step explanation:

I hope this helps :)

Answer:

√39

Step-by-step explanation:

use the Pythagorean Th because the triangle is right

8² = 5² + x²

8²-5² = x²

√64-25 = x

√39 =x

Answer:

[tex]\displaystyle \frac{14}{3}\sqrt{5}[/tex]

Step-by-step explanation:

Simplify:

[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}[/tex]

We must express the mixed fraction into an improper fraction:

[tex]2\frac{2}{9}=2+\frac{2}{9}=\frac{20}{9}[/tex]

[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \sqrt{80} + \sqrt{\frac{20}{9}}[/tex]

Since 80 = 16*5 and 20=4*5

[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \sqrt{16*5} + \sqrt{\frac{4*5}{9}}[/tex]

[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle 4\sqrt{5} + \frac{2}{3}\sqrt{5}[/tex]

Adding the fractions:

[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle (4 + \frac{2}{3})\sqrt{5}[/tex]

[tex]\mathbf{\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \frac{14}{3}\sqrt{5}}[/tex]

Solution :

Given :

Principal amount deposited, P = $ 6000

Rate of interest, r = 5%

Number of years, t = 4 years

When the deposited amount is compounded semiannually, i.e. n = 2

Therefore,

Future value,

[tex]$FV = P\left( 1 +\frac{r}{n}\right)^{nt}$[/tex]

[tex]$FV = 6000\left( 1 +\frac{0.05}{2}\right)^{2 \times 4}$[/tex]

[tex]$FV = 6000 \times (1.025)^8$[/tex]

       = 6000 x 1.2184

        = 7310.4

Therefore, after 4 years there will be $ 7310.4 in the amount when compounded semi annually.

When the deposited amount is compounded quarterly, i.e. n = 4

Therefore,

Future value,

[tex]$FV = P\left( 1 +\frac{r}{n}\right)^{nt}$[/tex]

[tex]$FV = 6000\left( 1 +\frac{0.05}{4}\right)^{4 \times 4}$[/tex]

[tex]$FV = 6000 \times (1.0125)^{16}$[/tex]

       = 6000 x 1.219889

        = 7319.334

Therefore, after 4 years there will be $ 7319.334 in the amount when compounded quarterly.

When the deposited amount is compounded monthly, i.e. n = 12

Therefore,

Future value,

[tex]$FV = P\left( 1 +\frac{r}{n}\right)^{nt}$[/tex]

[tex]$FV = 6000\left( 1 +\frac{0.05}{12}\right)^{12 \times 4}$[/tex]

[tex]$FV = 6000 \times (1.0041667)^{48}$[/tex]

       = 6000 x 1.22089

        = 7325.34

Therefore, after 4 years there will be $ 7325.34 in the amount when compounded monthly.

Answer:

A or B

Step-by-step explanation:

ANSWER.

$1,500.00 net price / sales tax 6.25 / $1,593.75 total price

Step-by-step explanation:

hope it helps

Answer:

x = 77 ft

Step-by-step explanation:

55 ÷ 45 = 1.222222222

1.222222222 x 63 = 77

Answer:

63+45 divided by 12 + 55 times 12 + 95 (is what i think is the approximate length of the shadow)

Step-by-step explanation:

then after you do all this round it to the nearest foot

Answer:

gorgeous

Step-by-step explanation:

Answer:

i am disturbed.

Step-by-step explanation:

this image is disturbing to me, because he is staring at you in your sleep too

Answer:

y=2

Step-by-step explanation:

add the -5y over and you get 14y=28

then divide by 14 on both sides and you get y=2

Answer:1) 29.4

2)4.2

Step-by-step explanation:

0.7×42=29.4

0.3×14=4.2

Answer:

y=-3x-13

Step-by-step explanation:

Plug in the -2 and -4 for the y and x. The slope is the same

1) -4 = -3 (-3)+b

2) -4=9+b

3) -4-9=b

4) -13=b

The equation is y=-3x-13

Answer:

non-linear plots are when the dots are far away from the other dots and linear is when all the dots are together

Answer:

Step-by-step explanation:

805/38= 21 7/38

So that is 21 full payments of $38.00 and one of $7.00

Answer:

n the figure, m 3 = 75 and mZ10 = 115. ... CY 337] . 2x +13269. 2x =50. X=28. Find mZ1 in each figure. Exoor. 10. تا ... m24 = 75 24 and 22 are vertical angles.

Missing: m22 = ‎| Must include: m22 =

Step-by-step explanation:

Answer:

[tex] m\angle ABC = 35\degree [/tex]

Step-by-step explanation:

(3x - 70)° = x° (corresponding angles)

3x - 70 = x

3x - x = 70

2x = 70

x = 70/2

x = 35

[tex]

m\angle ABC = (3x - 70)\degree \\\\

m\angle ABC = (3\times 35- 70)\degree \\\\

m\angle ABC = (105- 70)\degree \\\\

\huge\red {\boxed{m\angle ABC = 35\degree }} \\\\[/tex]

Step-by-step explanation:

The relation and its inverse (if it exists) must be symmetrical about the line y = x.

Hence the answer is the 2nd from the top.

Answer:

Second option

Step-by-step explanation:

Answer:

four thousand five hundred and sixty eight and fifty hundredths

Step-by-step explanation:

Answer:

four thousand five hundred sixty -eight, and fifty Hundredths

Step-by-step explanation:

Answer:

pemdas

Step-by-step explanation:

3^3 = 27 (3*3*3)

9^1 =9 (9)

27/9= 3

Answer: -0

The absolute value of any number is positive so you can say the absolute value of -0 is 0 and it’ll be true. You can also say the absolute value of 0 is 0.

Answer:

y=-2/3x+2/3 i think... :)

Step-by-step explanation:

y=mx+b

-4=-2/3(-7)+b

-4=14/3+b

b=2/3

y=-2/3x+2/3

Answer:

e4 squared

Step-by-step explanation:

Answer:

Step-by-step explanation:

Option C 3 is the correct answer

Answer:

3

Step-by-step explanation:

1. Simplify -4 + 7 to 3.

-3 + 3 × 2

2.  Simplify 3 × 2 to 6.

−3 + 6

3. Simplify.

3

Answer:

$1.94 per square inch

Answer:

y-(-8) = 7(x-3) or

y+8 = 7(x-3)