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Zinaida [17]
1 year ago
5

M∠DFG=(2x+6)° and m∠EFG=(3x−11)°. Find the value of x.

Mathematics
1 answer:
BigorU [14]1 year ago
7 0

Answer:

x = 37

Step-by-step explanation:

A straight angle is 180 degrees. That means ∠DFG & ∠EFG have to add together to be 180.

2x + 6 + 3x - 11 = 180     Combine like terms

5x - 5 = 180                   Add 5 to both sides

5x = 185                         Divide by 5

x = 37

∠DFG = 80°

∠EFG = 100°

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2z - 6 = 2(2 + 2) - 10
Blababa [14]

Answer:

z=2

Step-by-step explanation:

2z-6=2(2+2)-10  Distribute.

2z-6=4+4-10      Combine like terms.

2z-6=-2              Add 6 on both sides.

   <u>+6 +6</u>

2z=4                   Divide by 2 on both sides.

<u>/2 /2</u>

z=2

Hope this helps! Have a great day ^^

6 0
3 years ago
31. A driver
Gnesinka [82]

Answer:

D. of any age

Step-by-step explanation:

A driver  can be charged with Driving While Intoxicated of any age.

It doesn't matter how old you are because a crime is a crime. If you are younger there will most likely be less of a punishment as adults.

8 0
2 years ago
Mrs. Bonilla is a saleswoman at a furniture store. Her commission on rugs is 10% and her commission on furniture is 15%. Her goa
lara31 [8.8K]
<span>so here is how you can answer this: 

Your commission must be equal to the sum of the 10% of the value of the rug and the 15% of the value of the furniture and equate this to the value of your commission. Translate this to a mathematical equation, you would get, 

Commission = (10%) (value of rugs) + (15%) (value of furniture).
substituting the known values, 
 
5000 =.1 * x + .15 * 12500.

Now it's a matter of finding for x. You should get, 

 x = $31,250.</span>
8 0
3 years ago
What is the equation of the line that goes through the point (6,-1) and is parallel to the line represented by the equation belo
stepladder [879]

\huge{\boxed{y=-\frac{5}{6} x+4}}

Parallel lines share the same slope, so the slope of the parallel line in this case must be -\frac{5}{6}.

Point-slope form is y-y_1=m(x-x_1), where m is the slope and (x_1, y_1) is any known point on the line.

Plug in the values. y-(-1)=-\frac{5}{6} (x-6)

Simplify and distribute. y+1=-\frac{5}{6} x+5

Subtract 1 from both sides. \boxed{y=-\frac{5}{6} x+4}

6 0
3 years ago
Read 2 more answers
Please put into slope intercept form and please SHOW THE WORK
daser333 [38]
5x+y= -5 , i hope I help you
8 0
2 years ago
Read 2 more answers
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