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gayaneshka [121]
3 years ago
7

How do I correctly solve this?

Mathematics
2 answers:
sdas [7]3 years ago
6 0

Answer:   14

<u>Step-by-step explanation:</u>

Since BD is parallel to EG, then ∠BCF and ∠EFC are consecutive (same side interior) angles, which means they are supplementary angles.  

∠BCF + ∠EFC = 180

(5x - 66) + (2x + 50) = 180

7x - 16 = 180

7x        = 196

 x        = 28

∠BCF ≅ ∠EFC because they are vertical angles.

∠BCF = ∠EFC

5(28) - 66 = 9y - 52

140 - 66 + 52 = 9y

192 = 9y

14 = y

Gelneren [198K]3 years ago
3 0
<h3>Answer: y = 14</h3>

===================================

Explanation:

The two angles involving x add up to 180 degrees. This is because they are same side interior angles (and because the horizontal lines are parallel)

So,

(angle BCF) + (angle EFC) = 180

(5x - 66) + (2x + 50) = 180

5x - 66 + 2x + 50 = 180

7x - 16 = 180

7x - 16+16 = 180+16 ... add 16 to both sides

7x = 196

7x/7 = 196/7 .... divide both sides by 7

x = 28

This will be used to help find y

Notice how the angles BCF and ACD are vertical angles, therefore they are congruent or the same measure

angle ACD = angle BCF

9y - 52 = 5x - 66

9y - 52 = 5*28 - 66 ..... replace x with 28 (since x = 28)

9y - 52 = 140 - 66

9y - 52 = 74

9y - 52+52 = 74+52 .... add 52 to both sides

9y = 126

9y/9 = 126/9 .... divide both sides by 9

y = 14

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18. You are standing beside the Colorado River, 400 feet
Veseljchak [2.6K]
<h3>Answer: B. 781.6 feet approximately</h3>

=======================================================

Work Shown:

The horizontal portion is 400+166 = 566 feet. Label this as 'a', so a = 566. The vertical side is unknown, so b = x. The hypotenuse is c = 965

Use the pythagorean theorem

a^2+b^2 = c^2

566^2+x^2 = 965^2

x^2 = 965^2 - 566^2

x = sqrt( 965^2 - 566^2 )

x = 781.58108984289 which is approximate

x = 781.6 feet when rounding to one decimal place

6 0
3 years ago
There is a mound of g pounds of gravel in a quarry. Throughout the day, 300 pounds of gravel are added to the mound. Two orders
galina1969 [7]

Answer:

g+300-700-700=1500, g=2600

Step-by-step explanation:

At the start of the day there are g pounds of gravel in the quarry.

Then it says that there were 300 pounds added to the mound, so at this point the pounds of gravel in the mound are now g+300.

Then two orders of 700 pounds are sold and removed from the mound. That means they removed 700 pounds from the mound 2 times. Therefore at this point the pounds of gravel in the mound are now g+300-700-700.

Then it says that at this point, the amount of pounds in the mound are 1500.  Hence we get

g+300-700-700=1500

To solve for g we just add 700 two times to both sides of the equation, and subtract 300 from both sides of the equation, getting:

g+300-700-700+700+700-300=1500+700+700-300

And so g=2600

4 0
3 years ago
Which number represents water becoming
xenn [34]

Answer:

1

Step-by-step explanation:

8 0
3 years ago
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What is the answer to 43.26 ÷ 14​
slamgirl [31]

Answer:

3.09

Step-by-step explanation:

6 0
3 years ago
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What is the solution of |x- 5|-2=10?
Lelu [443]

Answer:

x=17, x=-7

Step-by-step explanation:

Step  1  :

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

     |x-5|-2 = 10  

Another term is moved / added to the right hand side.

     |x-5| = 12  

Step  2  :

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |x-5|

For the Negative case we'll use -(x-5)  

For the Positive case we'll use (x-5)  

Step  3  :

Solve the Negative Case

     -(x-5) = 12  

    Multiply

     -x+5 = 12  

    Rearrange and Add up

     -x = 7  

    Multiply both sides by (-1)

     x = -7  

    Which is the solution for the Negative Case

Step  4  :

Solve the Positive Case

     (x-5) = 12  

    Rearrange and Add up

     x = 17  

    Which is the solution for the Positive Case

Step  5  :

Wrap up the solution

x=-7

x=17

8 0
3 years ago
Read 2 more answers
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