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3 years ago

Lines m and n are parallel solve for the following values of x. Tell which theorem you used.

Mathematics

1 answer:

nevsk [136]3 years ago

8 0

Answer:

x=60°

Step-by-step explanation:

angle 135° and (2x+15)° are corresponding and thus are equal

Therefore (2x+15)°=135°

2x=135-15

2x=120°

X=60°

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2(3 + 4x) = 8x + 6<br> How Many solutions?

Mrrafil [7]

Answer:

Infinite number of solutions

Step-by-step explanation:

$2(3 + 4x) = 8x + 6\\6 + 8x = 8x+6\\8x-8x=6-6\\0=0$

For any value of x, both equations are equal to each other because both sides are identical

4 0

3 years ago

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If y is directly proportional to x and y = 17.5 when x=21 find y when x=39

morpeh [17]

direct proportion y=kx , k is constant and k does not equal to 0.

17.5=k(21)

k=5/6

when x =39

y=5/6 ×39

y=32.5

4 0

3 years ago

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John has decided to prepare an old field for his son's new horse. the length of the field is 10 meters less than 4 times its wid

tatuchka [14]

Answer: The total money invested in the field will be $1,623.80

Step-by-step explanation:

step 1

Find the dimensions of the field

Let

x -----> the length of the field

y -----> the width of the field

p=2(x+y)

p(4.80)=1,584

p=330m

we know that

The perimeter of the field is equal to

330=2(x+y)----> equation A

x=4y-10 ------> equation B

substitute equation B in equation A and solve for y

330=2(4y-10+y)

165=(5y-10)

5y=165+10

y+35

Find the value of x

x=4(35)-10+130

therefore

The length of the field is 130 meters and the width of the field is 35 meters

step 2

Find the area of the field

The area of the field is

A=xy

substitute

A=(130)(35)=4,550m2

step 3

Find the number of bags of seed

Divide the area by 460

4,550/460=9.89 bags

Round up to the nearest whole number

9.89 bags=10 bags

step 4

Find the cost of the seed

(10 )(3.98)=$19.8

step 5

Find the total money invested in the field

1,584+$39.8=$1,623.80

7 0

2 years ago

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If 9.8 - 5.29 is changed to 9.8 - 5.3=4.5, what must be done to 4.5 to get the exact answer for 9.8 - 5.29? Explain

Rashid [163]

The answer is 4.51 and what needs to be added to 4.5 is a .01

5 0

3 years ago

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What is the frequency of the function f(x)?<br> Express the answer in fraction form.

Reil [10]

Answer:

<u>Frequency = 1/period = $\frac{1}{8\pi }$ </u>

Step-by-step explanation:

The frequency of the sinusoidal function = 1/period

Frequency is how many the function repeats itself per unit if time i.e: per "1"

For the given graph :

$\frac{x}{4} =Bx$ , Where: B = 2π/period

period = 2π/B , B = 1/4 = 0.25

∴ Period = 2π/0.25 = 8π

∴ Frequency = 1/period = $\frac{1}{8\pi }$

3 0

3 years ago