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Tom [10]
2 years ago
10

Please answer & explain how the answer was found

Mathematics
1 answer:
pshichka [43]2 years ago
3 0

Answer: GEF = 30 DEF = 40

Step-by-step explanation: By angle summation we know the entire angle

GED = 70, so the smaller angles that make up GED (GEF and DEF) will have to sum up to equal GED. Using this we get:

2x + 10 + 5x - 10 = 70

From here we can combine like terms:

7x = 70

and solve for x

x = 10

Then we can plug the value of x back into the equations given to solve for GEF and DEF

GEF:

2x+10 == 2(10)+10 = 30

DEF:

5x-10 == 5(10)-10 = 40

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Which of the following is rational number?<br> a.) π<br> b.) 1.425<br> c.) √50<br> d.)√-4
Contact [7]
1.425 because it can be represented as:

1425/1000

A rational number is any number that can be expressed as ratio of two integers...
4 0
2 years ago
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Move the numbers to the table to arrange them in order from least to greatest.
777dan777 [17]

Answer:

-3/5

-1/2

-0.4

0.6

4/5

Step-by-step explanation:

For this question I converted the fractions to decimals.

-3/5 = -0.6

-1/2 = -0.5

4/5 = 0.8

Start off with the negatives, as they are the lowest numbers. <em>The further they are from zero the lower they get.</em>

-0.6  (-3/5)

-0.5  (-1/2)

-0.4

Now there are only <em>2</em> positive numbers, so order them.

0.6

0.8 (4/5)

Put it all together:

-3/5

-1/2

-0.4

0.6

4/5

3 0
2 years ago
The end points of Line GH are G (10,2) and H(4,8). Find the coordinates of the midpoint M.
nikitadnepr [17]

Answer:

(10-4)/2 , (2-8)/2

6/2 , -6/2

Midpoint = (3,-3)

7 0
2 years ago
If angle 1= 105°, angle 12= (3x + 15)°, and angle 7 = (8y-5)°, determine the values<br> of x and y.
Darina [25.2K]

The value of the variable x is 30° and the value of the variable y is 10°.

The missing diagram is attached below.

<h3>What is an angle?</h3>

The angle is the distance between the intersecting lines or surfaces.

Corresponding angle – If two lines are parallel, then the third line. The corresponding angles are equal angles.

Vertically opposite angle – When two lines intersect, then their opposite angles are equal.

Linear angle – If the total of two angles is 180 degrees, they are said to be linear angles.

∠1 = ∠5 = ∠9 = 105° (corresponding angles)

∠1 = ∠4 = 105° (Vertical opposite angles)

∠1 + ∠2 = 180° (linear angle)

       ∠2 = 75°

∠2 = ∠3 = 75° (Vertical opposite angles)

∠3 = ∠8 = ∠12 = 75° (corresponding angles)

If angle ∠1 = 105°, angle ∠12 = (3x + 15)°, and angle ∠7 = (8y-5)°.

Then the value of x and y will be

   ∠9 = ∠12

   ∠1 = ∠12

105° = (3x + 15)°

  3x = 90°

    x = 30°

∠6 = ∠7

75° = (8y – 5)°

8y = 80°

  y = 10°

More about the angled link is given below.

brainly.com/question/15767203

#SPJ1

7 0
2 years ago
A room that measures 12 feet by 9 feet needs new flooring. Wood flooring costs $2.70 per square foot. How much will it cost to c
Korvikt [17]
The answer is 291.60 because you multiply 12 x 9 which equals 108 then multiply 108 x 2.70 which equals 291.60
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