SV is an angle bisector of ∠RST. If m∠RSV = (2x + 8)° and m∠RST = (6x − 26)°, find x.

[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (\stackrel{x}{5}~,~\stackrel{y}{8})\qquad \implies 8=k(5)\implies \cfrac{8}{5}=k[/tex]

Answer:

Step-by-step explanation: Alright so first you ditribute the 3 with 3m and - 2 so you will get 9m - 6 - 3 = 36 from there add all like terms like - 6 and - 3 so you will get 9m - 9 = 36 now we want variables in one side and normal numbers in the others so we add 9 to both sides so we get 9m = 45 now divide both by 9 so M = 5

Step-by-step explanation:

(r/s)(x)=3x-1

2x

(r/s)(6)=18-1/12

=17/12

Answer: X = y - yi - 7i

               Y = (x + 7i)/(1 - i)

Step-by-step explanation: for the case of (X) you only need to pass the 7i to the other side with the subtraction sign (-7i), then we get this equation:

x + 7i = y − yi

X = y - yi - 7i

in the case of the (Y), first we select the common multiple.

y - yi = y(1 - i)

if we replace it in the original expression, we get the following equation:

x + 7i = y(1 - i)

after that you can pass the value (1 - i) to the other side dividing,

Y = (x + 7i)/(1 - i)

Answer:

x=y-yi-7i

y=ix+x-7+7i

        2      

Step-by-step explanation:

Answer:

Jose incorrectly rounded $2.85 down to $2. The estimate should be $18.

Step-by-step explanation:

When we round 6.2 lb to the nearest pound we round down, because the digit after point is less than 5 (2<5), so

[tex]6.2\ lb\approx 6\ lb[/tex]

When we round $2.85 to the nearest dollar we round up, because the digit after point is greater than 5 (8>5), so

[tex]\$2.85\approx \$3[/tex]

Now, 6.2 lb of blueberries will approximately cost

[tex]\$3\cdot 6=\$18[/tex]

Hence, Jose incorrectly rounded $2.85 down to $2. The estimate should be $18.

Answer:

answer is B Jose incorrectly rounded $2.85 down to $2. The estimate should be $18. have a great day.

Step-by-step explanation:

Answer:

52 ounces

Step-by-step explanation:

multiply the volume value by 8

To convert 6 1/2 cups to ounces, multiply the number of cups by 8 (since 1 cup equals 8 ounces). Six cups equal 48 ounces, and half a cup equals 4 ounces, which totals to 52 ounces. Therefore, 6 1/2 cups is equal to 52 ounces.

To convert 6 1/2 cups to ounces, we first need to understand the relationship between cups and ounces. A cup is a unit of volume commonly used in cooking to measure liquids, and it is equivalent to 8 ounces. To find out how many ounces are in 6 1/2 cups, we multiply the number of cups by the number of ounces in one cup.

Here is the step-by-step conversion:

So, 6 1/2 cups equals 52 ounces.

Answer:  [tex]\bold{L=\dfrac{S-2WH}{2W+2H}}[/tex]

Step-by-step explanation:

[tex]S=(2W+2H)L+2WH\\\\\\\underline{\text{Subtract 2WH from both sides:}}\\S-2WH=(2W+2H)L\\\\\\\underline{\text{Divide both sides by (2W + 2H):}}\\\\\dfrac{S-2WH}{2W+2H}=L[/tex]

Answer:

Step-by-step explanation:

note : distance between A(X1,Y1) an B (X2,Y2) is :

AB= √((X2 - X1)² + (Y2 - Y1)²)

in this exercice : X1 = -3      X2 = - 4     Y1 = 5         Y2 = 1

continue .....calculate AB

Answer:

This will occur again in 15 more days.

Step-by-step explanation:

Simply divide 15 by 3, which equals 5, in which makes it the least common multiple of 5 and 3.

Answer:

Step-by-step explanation:

Least: 2/15 , 1/5 , 3/5 -greatest

Answer:

2/15,1/5=3/15,3/5=9/15

Step-by-step explanation:

Look at the answer it is from least to greatest

Answer:

D. 29 cm.

Step-by-step explanation:

The measure of the longest side cannot be equal or greater than (17 + 13) = 30 cm  or it wouldn't be a triangle.

So it cannot be 30 or 31 cm long. Also as we want the longest side so it can't be 4 cm.

The answer is 29 cm.

Answer:

90

can i have brainliest

To find how many 2/5 cups are needed for 3 cups of sugar, divide 3 by 2/5, resulting in 7.5. Therefore, 7.5 of the 2/5 cups are required.

To calculate how many 2/5 cups are needed for a recipe that requires 3 cups of sugar, you can follow these steps:

Determine the total amount required: The recipe requires 3 cups of sugar.

Determine the measurement of the cup you have: You can measure using only 2/5 cups.

Calculate the number of 2/5 cups needed: Divide the total amount needed by the measurement of the cup you have.

This gives you the equation: 3 cups \/ (2/5 cups) = 15/2 = 7.5. Therefore, you will need 7.5 of the 2/5 cups to measure out 3 cups of sugar.

Answer:

I believe the answer to this is D. All Real Numbers. I had the same question and this is what I picked.

Hope it helps!

Answer:

total cost of putting carpet in both rooms is $3692.42

Step-by-step explanation:

given data

living room length = 24 feet

living room width = 15 feet

dining room is square so length and width will be same

dining room length = 13 feet

dining room width = 13 feet

carpet costs =  $6.98 per square foot

to find out

what is the total cost of putting carpet in both rooms

solution

first we find the total area of both room that is

area of living room = length × width      .................1

area of living room = 24 × 15

area of living room = 360 feet²      ...........................2

and

areas of dining room = length × width

area of dining room = 13 × 13

area of dining room = 169 feet²    ...............................3

so total area = add equation 1 and 2

total area = 360 feet² + 169 feet²  

total area = 529 feet²  

and

total cost of putting carpet in both rooms are = total area × carpet costs    .................4

put here value

total cost of putting carpet in both rooms  = 529  ×  $6.98

total cost of putting carpet in both rooms  =$3692.42

The calculated total square footage that needs carpeting is 529 square feet. At $6.98 per square foot, the total cost of carpeting both rooms would be $3,690.42.

The subject of this problem is mathematics, specifically the topic of area calculations and cost analysis. First, calculate the area for both rooms. The area of a rectangle is given by the formula length x width, so the area of the living room is 24 feet x 15 feet which equals 360 square feet. As the dining room is a square, its area is side x side, thus 13 feet x 13 feet equals 169 square feet.

Then, add these to get the total square footage that will need carpeting, which is 360 + 169 = 529 square feet.

Lastly, multiply this total area by the cost per square foot for carpeting. This gives $6.98 x 529 square feet = $3,690.42. So, the total cost of carpeting both rooms would be $3,690.42.

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Answer:

Yes you can because 14 is a even number.

Step-by-step explanation:

First you divide 14 by 2 to get two equal piles and boom there's your answer.

Yes, you can divide 14 shirts into 2 equal piles, due to the fact that 14 is an even number.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

The solution is as simple as dividing 14 by 2 to produce two equal piles.

⇒ 14/2

⇒ 7

Thus, you can divide 14 shirts into 2 equal piles, due to the fact that 14 is an even number.

Learn more about Arithmetic operations here:

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Answer:

18 17/24

Step-by-step explanation:

for further reasoning how i got the awnser ask in the comments

Answer:18.7

Step-by-step explanation:

Answer:

100 kilometers per centimeter.

Step-by-step explanation: We are given that

Length of Mississippi River = 3,730 km.

The scale is required to find if the length of the river is given 37.3 cm.

Thus, the scale of the map is given by, = 100

Hence, the scale of the map is 100 kilometers per centimeter.

Answer:

all work is shown and pictured

Answer:

27

Step-by-step explanation:

3 x 9 = 27

you just multiply the two. (if it asks for temperature after the hours just subtract)

The temp dropped 27 degrees. 3 degrees times 9 nights is 27 degrees dropped. :)

Answer:

x = 7/8

Step-by-step explanation:

7/8 of 4 is 3.5

4x-9 = 3.5-9

one hour has 60 minutes, each minute has 60 seconds, so then an hour has 60*60 seconds, namely 3600 seconds.  How many miles does Seth travel in 3600 seconds?

[tex]\bf \begin{array}{ccll} miles&seconds\\ \cline{1-2} 1&57.1\\ x&3600 \end{array}\implies \cfrac{1}{x}=\cfrac{57.1}{3600}\implies 3600=57.1x \\\\\\ \cfrac{3600}{57.1}=x\implies 63.05 \approx x[/tex]

Answer:

In order to find miles per hour we must first change the time given to us (57.1 seconds) into hours. We will do this by first changing the seconds to minutes:

57.1 seconds / 60 = .952 minutes

Now we can change our minutes to hours:

.952 minutes / 60= .016 hours

Now to find miles per hour we divide the miles by our time:

1 mile / .016 hours = 63.04 mph

5.5 divided by 3.5 is 1.57142857 when solved, but when rounded, you will get 1.6, or 1.57.

Hope this helped!

Nate

Answer:

terminating

Step-by-step explanation:

20 is a factor of a 100

20 × 5 = 100

therefore 19 × 5= 95

So in decimal form it's 2.95

Answer:

x = 6

y = 24

Step-by-step explanation:

(14x + 4) + (16x - 4) <--- you add them because they are supplementary angles and are equal to 180°

(14x + 4) + (16x - 4) = 180

30x = 180

[tex]\frac{30x}{30} = \frac{180}{30}[/tex]

 x = 6

Then you plug in 6 to (14x + 4)

(14(6) + 4) = 84 + 4 = 88

180 - 88 = 92

Now subtract 92 from 180 and make it equal to (4y - 8) to get y.

 (4y - 8) = 180 - 92 ---> (4y - 8) = 88

                                           + 8    + 8

                                         4y = 96

                                          [tex]\frac{4y}{4} = \frac{96}{4}[/tex]

                                               y = 24

Answer:

Step-by-step explanation:

We have the vertical angles and supplementary angles.

Vertical angles are congruent. Therefore we have the equation:

[tex](1)\qquad14x+4=4y-8[/tex]

Supplementary angles add up to 180°. Therefore we have the equation:

[tex](2)\qquad(16x-4)+(14x+4)=180[/tex]

Solve (2):

[tex](16x-4)+(14x+4)=180\qquad\text{combine like terms}\\(16x+14x)+(-4+4)=180\\30x=180\qquad\text{divide both sides by 30}\\x=6[/tex]

Put the value of x to (1) and sole:

[tex]4y-8=14(6)+4\\4y-8=84+4\\4y-8=88\qquad\text{add 8 to both sides}\\4y=96\qquad\text{divide both sides by 4}\\y=24[/tex]

Answer:

115%

Step-by-step explanation:

Set up the equation like this:

537.05 / 467 = x / 100

Cross multiply

467x = 53705

x = 115