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Oxana [17]
4 years ago
13

Solve for x in the diagram below. (2x + 30° 40° 40° т

Mathematics
2 answers:
solniwko [45]4 years ago
7 0

Answer:

x = 35°

Step-by-step explanation:

assuming that the straight line at the bottom of the figure is actually a straight line, that means all the angles along that straight line must add up to 180 °

i.e.

40 + (2x+30) + 40 = 180

40 + 2x+30 + 40 = 180

110 + 2x = 180  (subtract 110 from both sides)

2x = 180 - 110

2x = 70

x = 35

GuDViN [60]4 years ago
7 0

Answer:

x=35

Step-by-step explanation:

The 3 angles are on a straight line. A straight line is equal to 180 degrees. Therefore, the 3 angles are supplementary and add to 180 degrees.

40+2x+30+40=180

Combine like terms. Add all the terms on the left side without a variable.

2x+(40+30+40)=180

2x+110=180

We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

110 is being added to 2x. The opposite of addition is subtraction. Subtract 110 from both sides.

2x+110=180-110

2x=180-110

2x=70

x is being multiplied by 2. The opposite of multiplication is division. Divide both sides by 2.

2x/2=70/2

x=70/2

x=35

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Need help with this number 3 and 4 all go together
vredina [299]

Solution:

Given:

\begin{gathered} m\angle3=65^0 \\ m\angle11=100^0 \end{gathered}\begin{gathered} m\angle2+m\angle3=180^0.............the\text{ sum of angles on a straight line} \\ m\angle2+65^0=180^0 \\ m\angle2=180-65 \\ m\angle2=115^0 \end{gathered}

Therefore, the measure of angle 2 is 115 degrees.

\begin{gathered} m\angle5=m\angle11.........................(alternate\text{ exterior angles are congruent\rparen} \\ m\angle5=100^0 \end{gathered}

Therefore, the measure of angle 5 is 100 degrees.

\begin{gathered} m\angle13=m\angle3.........................(alternate\text{ interior angles are congruent\rparen} \\ m\angle13=65^0 \end{gathered}

Therefore, the measure of angle 13 is 65 degrees.

6 0
1 year ago
Need help.....thanks so much
tatuchka [14]
Start by adding up the total sales in 2011 and 2012. You can make approximate estimates for the bars that are between lines. Since everything is in millions, you can ignore the 6 zeros behind every number to speed up your calculation:

1) In 2011, Asia sold 250, America sold 325, Europe sold ~210, Africa sold 150. The total in 2011 was 250+325+210+150 = 935.

2) In 2012, Asia sold ~130, America sold ~280, Europe sold ~230, and Africa sold ~140. The total in 2012 was 130+280+230+140=780.


Now find the percent decrease. Percentage decrease is basically what percent of your original number was subtracted from that original number to get the new number. 
Percent decrease is calculated by (1) calculating the decrease from original number-new number, then (2) dividing that decrease by the original number, and then (3) multiplying your quotient by 100% to get a percentage:

1) Your original number is 935, from 2011, because that's the year you started out with. Your final number is 780, from 2012. The decrease is: 935-780 = 155. 

2) Divide 155 by your original number. 155/935 ≈ 0.17

3) Finally multiply your quotient from step 2 by 100% to get your percent decrease: 0.17*100% = 17%.

The answer is A) 17.
8 0
4 years ago
Marjorie is building a dog run that is 25'8" long and 8'8" wide. How much fencing will she need if the opening is 3'6" wide and
antiseptic1488 [7]

Answer:

782 in

Step-by-step explanation:

To find the length of fence, we have to find the perimeter first.

Given

Length = l = 25 feet 8 in

Width = w = 8 feet 8 in

Opening = o =3 feet 6 in

So,

we have to convert the lengths into same unit first

So,

l = (25*12)+8 = 308 in

w = ( 8*12) +8 = 104 in

O = (12*3) + 6 = 42 in

Perimeter = 2(l+w)

= 2(308+104)

=2(412)

=824

As the opening does not need fencing

Total fence = P - o

= 824 - 42

=782 in

or

65 feet 2 in ..

3 0
3 years ago
write an equation in point-slope form for the line through the given point with the given slope. (8, -3); m= -1/4
Vlad [161]

Your answer would be y = (-1/4)x - 1

Seeing as they give us the slope, all we have to is find the y intercept of the line. We can do this by substituting in the coordinates (8, -3), and using the 8 as x and the -3 as y.

This gives us:

-3 = (-1/4 × 8) + c

-3 = -8/4 + c

-3 = -2 + c

c = -1

So therefore the final answer is y = (-1/4)x - 1

I hope this helps!

5 0
3 years ago
Need help with the angle measures?​
Lunna [17]

Answer:

x = 135°

Least to greatest

90°, 90°, 90°, 135° and 135°

Step-by-step explanation:

All the angles in this pentagon adds up to 540

(x - 45) + x + (x - 45) + (x - 45) + x = 540

x - 45 + x + x - 45 + x - 45 + x = 540

Collect like terms and place them on either side

5x = 540 + 45 + 45 + 45

5x = 675

Divide both sides by 5 to make x on its own

x = 135°

Angle measures of the pentagon from least to greatest

135 - 45 = 90

90, 90, 90, 135 and 135

5 0
3 years ago
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