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3 years ago

Given the figure below, find the values of x and z.

Mathematics

1 answer:

N76 [4]3 years ago

5 0

Answer:

x=9

z=73

Step-by-step explanation:

Angle 107 and 8x+35 are vertical angles, so they are equal

107 = 8x+35

Subtract 35 from each side

107-35 = 8x+35

72 = 8x

Divide by 8

72/8 = 8x/8

9 =x

We also know that 107 and z are supplementary angles since they form a straight line. This means they add to 180 degrees

107+z = 180

Subtract 107 from each side

107-107+z=180-107

z =73

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Suppose y= 2x - 2.5. Find x if y =10

Marat540 [252]

Plug 10 in for y.

10=2x-2.5

Add 2.5 to both sides.

12.5=2x

Divide both sides by 2.

6.25=x

Hope this helps! :)

8 0

3 years ago

Read 2 more answers

A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,360 ft Determine the flag's width and

just olya [345]

The length of rectangular mosaic flag is 710 feet and width is 470 feet

Step-by-step explanation:

Let l be the length of the flag

and

w be the width

Then according to given statement

l = w+240

Perimeter = 2360 feet

The formula for perimeter is given by:

$Perimeter = 2(Length+Width)$

Putting values

$2360 = 2[w+240+w]\\\frac{2360}{2} = \frac{2[w+240+w]}{2}\\1180 = 2w+240\\1180-240 = 2w+240-240\\940 = 2w$

Dividing both sides by 2

$\frac{2w}{2} = \frac{940}{2}\\w = 470$

The width is 470 feet

Now,

$l = w+240\\= 470+240\\=710$

Hence,

The length of rectangular mosaic flag is 710 feet and width is 470 feet

Keywords: Perimeter, dimensions

Learn more about perimeter at:

#LearnwithBrainly

4 0

3 years ago

Please answer this ASAP LINKS WILL BE BANNED !!!

Karo-lina-s [1.5K]

Answer:

p = - 10

Step-by-step explanation:

I hope this helps. Good luck

5 0

2 years ago

A process is controlled with a fraction nonconforming control chart with three-sigma limits, n = 100, UCL = 0.161, center line =

photoshop1234 [79]

Answer:

Lets Recall, p= 0.080, n=100, UCL= 0.161

Then np=100, 0.080=8

Step-by-step explanation:

The full steps or solution to this is in an an attached document.

4 0

3 years ago

State weather the equation represents exponential growth, exponential decay or neither, 30 POINTS EASY

RSB [31]

Answer:

Exponential Decay

Step-by-step explanation:

It's exponential growth when your base value is > 1. Example:

1.3ˣ, 2ˣ, 7ˣ, 999ˣ

It's exponential decay when the base value is < 1. Example:

0.9ˣ, 0.45ˣ, (1/2)ˣ, 0.79ˣ, .999ˣ

It's neither when the base value = 1. Example:

1ˣ

5 0

3 years ago