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Angelina_Jolie [31]
3 years ago
9

Answers are O - 17 O - 16 O - 15 O - (-16)

Mathematics
1 answer:
Rasek [7]3 years ago
5 0
Interior angles on parallel lines cut by a traversal are supplementary (they add up to 180°). These can be identified as "c" angles, due to their shape. Knowing this, we can figure out the value of x:
7x+(2x+36)=180
7x+2x+36=180
Simplify the equation
9x+36=180
Collect like terms
9x=144
Divide by 9 on both sides to isolate x
x=16
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Please answer below :-)
Evgen [1.6K]

Answer:

2\frac{7}{10}

Step-by-step explanation:

First, find the LCM and multiply through:

12(\frac{2x-1}{4} ) +12(\frac{x}{3})=12(2)

The LCM will cancel out the denominators (note that braket symbolizes Multiplication):

:3(2x-1) +4(x)=24

:6x-3+4x=24

Group like terms:

6x+4x=24+3

10x=27

Divide through by 10 to eliminate the coefficient of x

\frac{10x}{10}=\frac{27}{10}

: x=\frac{27}{10}=2\frac{7}{10}

3 0
2 years ago
Mount Kosciuszko is the highest mountain in Australia, with a peak of about 2,228 meters above sea level. Lake Erye has the lowe
marta [7]

Answer:

Option (A)

Step-by-step explanation:

Heights above the sea level are denoted with positive notations and depths below the sea level with negative.

Height of the highest peak of the mountain = +2228 meters

Lowest point of the lake = -15 meters

Difference between these elevations = 2228 - (-15)

                                                              = 2243 meters

Therefore, Option (A) will be the correct option.

6 0
3 years ago
0=4t-16t^2 Solve this please
vaieri [72.5K]

Answer:

\large\boxed{t=0\ \vee\ t=\dfrac{1}{4}}

Step-by-step explanation:

4t-16t^2=0\qquad\text{divide both sides by 4}\\\\\dfrac{4t}{4}-\dfrac{16t^2}{4}=\dfrac{0}{4}\\\\t-4t^2=0\\\\t(1-4t)=0\iff t=0\ \vee\ 1-4t=0\\\\1-4t=0\qquad\text{subtract 1 from both sides}\\\\-4t=-1\qquad\text{divide both sides by (-4)}\\\\t=\dfrac{1}{4}

7 0
3 years ago
A rectanglar swimming pool is three times as long as it is wide. If the perimeter of the soccer feild is 300 yards, what are the
fredd [130]

Answer:

The dimension of the rectangular pool is 112.5\times 37.5

Step-by-step explanation:

Given : A rectangular swimming pool is three times as long as it is wide. If the perimeter of the soccer field is 300 yards.

To find : What are the dimensions?

Solution :

Let the width of the rectangular pool be 'x'.

A rectangular swimming pool is three times as long as it is wide.

The length of the pool be '3x'

The perimeter of the rectangular swimming pool is P=2(l+w)

The perimeter of the soccer field is 300 yards.

Substitute the value in the formula,

300=2(3x+x)

300=2\times 4x

300=8x

x=\frac{300}{8}

x=37.5

The width of the pool is x=37.5 unit

The length of the pool is 3x=3(37.5)=112.5

Therefore, The dimension of the rectangular pool is 112.5\times 37.5

4 0
3 years ago
Help I will be marking brainliest!!
lora16 [44]

Answer:

<u>Given</u>: base = 10.4ft, height = 12.5

Area of octagon = 8(1/2 × b × h)

  • 8(1/2 × 10.4 × 12.5)
  • 520ft²

Volume of pool = 520ft² × 3ft

  • 1560ft³

Now, 1 cubic ft takes 7.5 gallons to fill.

Therefore, 1560 cubic ft takes,

  • 1560 × 7.5
  • 11700

So, <u>Correct choice</u> - [D] 11,700.

5 0
3 years ago
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