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Simora [160]
3 years ago
11

PLEASE HELP!!! I CANT DO THIS

Mathematics
1 answer:
mash [69]3 years ago
7 0

Answer:

∠WVU = 67°

Step-by-step explanation:

∠WVU = 1/2(arc WV)

8x + 11 = 1/2(15 + 17x)

8x + 11 = 7.5 + 8.5x

subtract 7.5 and 8x from each side of the equation:

0.5x = 3.5

multiply both sides by 2:

x = 7

∠WVU = 8(7) + 11 = 67°

proof:

arc WV = 15 + 17(7) = 134° which is 2 x 67°

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What is the length of the rectangle?
gregori [183]

Step-by-step explanation:

area \: of \: rectangle \:  = 60 \:  {yards}^{2}  \\  \therefore \: (w + 4) \times \: w = 60\\  \\  \therefore \:  {w}^{2}  + 4w -60 = 0 \\  \\  \therefore \: {w}^{2}  + 10w - 6w -60 = 0 \\  \\   \therefore \: w({w} + 10) - 6(w  + 10)= 0 \\  \\  \therefore \: ({w} + 10) (w- 6)= 0 \\ \therefore \: {w} + 10 = 0 \: or \: w- 6 = 0 \\  \therefore \: {w}   = -  10  \: or \: w =  6  \\  \because \: sides \: of \: rectangle \: cant \: be \: negative \\  \therefore \: w \neq \:    - 10 \\  \\ \therefore \: w = 6 \\  \\ \therefore \: w + 4 = 6 + 4 = 10 \\  \\ length \: of \: rectangle \:  = 10 \: yards.

4 0
3 years ago
Liana can see that the measure of Angle L and Angle M form a straight line. Since Liana knows that a straight line has an angle
cricket20 [7]

Answer:

150 degrees

Step-by-step explanation:

Let's start off by looking at what we are working with in this specific problem:

We can see that we are looking at 2 angles, angle L and angle M, that add up to a total of 180 degrees (aka a straight line)

Now that we know that, we also have to keep is mind that angle L + angle M = 180 degrees.

Now that we've got all of that out of the way, let's set up a simple algebraic equation:

angle L + angle M = 180

We also know that angle L is 30 degrees so let's add it into the equation we have just created:

30 + angle M = 180

We now know that 30 plus angle M (whatever it might be) is equal to 180 so in order to solve this problem we have to do some simple subtraction.

180 - 30 = angle M

Now we are left with:

150 degrees = angle M

4 0
3 years ago
What is the slope of the line passing through<br> points (6, -1) and (1,8)?
Fynjy0 [20]

Answer:

-1.8

Step-by-step explanation:

m= y2 - y2over x2 - x1

m= -1 - 8 over 1 - 6 = -1.8

m= -1.8

7 0
3 years ago
The Powerball lottery is decided every Wednesday and Saturday night by drawing five white balls out of a drum with 69 balls and
Doss [256]

Answer: a) 11,238,513 and b) 292,201,338

Step-by-step explanation:

Since we have given that

Number of white balls = 69

Number of white balls drawn = 5

Number of red balls = 26

Number of red balls drawn = 1

According to question, The Powerball jackpot is won by matching all five white balls in any order and the red Powerball.

So, a) Possible different ways of Powerball tickets can be purchased is given by

^{69}C_5\\\\=11,238,513

And

b) Number of possible ways of different winning Poweball tickets are there would be

26\times ^[69}C_5\\\\=292,201,338

Hence, a) 11,238,513 and b) 292,201,338

7 0
3 years ago
A standard stop sign measures 30.00 inches from flat to flat. What is the side length, x, of the stop sign (to the nearest 0.01
Lorico [155]

Answer: 254

Step-by-step explanation:

3 0
3 years ago
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