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irakobra [83]
3 years ago
5

Use the figure to find the measures of the numbered angles. ∠5 = ∠6 =

Mathematics
1 answer:
Gwar [14]3 years ago
5 0

Answer:

∠ 5 = 49°, ∠ 6 = 131°

Step-by-step explanation:

∠ 5 and 49° are corresponding angles and are congruent, then

∠ 5 = 49°

∠ 5 and ∠ 6 are adjacent angles and are supplementary, sum to 180° , that is

∠ 6 + ∠ 5 = 180°

∠ 6 + 49° = 180° ( subtract 49° from both sides )

∠ 6 = 131°

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½x + 1 ⅔ subtracted from 1 ½x - 1 ⅓<br> simplify IF NEEDED
Volgvan

Answer:

( \frac{1}{2} x + 1 \frac{2}{3} ) - (1 \frac{1}{2} x - 1 \frac{1}{3} ) \\  = ( \frac{1}{2}  -  \frac{3}{2} )x  +  ( \frac{5}{3}  +  \frac{4}{3} ) \\  =  \frac{ - 2}{2} x +  \frac{9}{3}  \\  =  - x + 3 \\  = 3 - x

4 0
3 years ago
According to 2017 Belgium Labor data information: Adult Population in 2017= 4500, Number of employed in 2017= 2800, and Number o
maks197457 [2]

The labor-force participation rate of Belgium in 2017 was 77.78%

1.

Given:

Adult population = 4500

Number of employed in 2017 = <em>2800</em>

Number of Unemployed in 2017 = 700

Labor force participation rate = (employed + unemployed) / total population × 100

= (2800 + 700) / 4,500 × 100

= 3,500 / 4500 × 100

= 0.777777777777777 × 100

= 77.77777777777777%

Approximately, 77.78%

2.

Given:

Adult Population in 2016 = 3500

Number of employed in 2016 = 1800

Number of Unemployed in 2016= 600

Unemployment rate = unemployed population/ total labor force × 100

= 600 / 3,500 × 100

= 0.171428571428571 × 100

= 17.14285714285714%

Approximately,

17.14 %

Therefore, the unemployment rate of Japan in 2016 was 17.14%

Learn more about unemployment rate:

brainly.com/question/13280244

5 0
2 years ago
PLEASE HELP! (Look at photo)
spayn [35]

Answer:

Starting from the one on the left.

Upper left:

145 degrees

Down left:

35 degrees

Down right:

145 degrees.

-------------

Now for the right image.

Upper left:

153 degrees

Down left:

27 degrees

Down right:

153 degrees

Step-by-step explanation:

Apply the same steps for the second image as for the first.

One thing to keep in mind is that a flat line (horizontal or vertical), as an angle of 180 degrees.

And another useful reminder is that opposed angles have the same degree.

Starting from the one on the left.

Upper left:

180 - 35 = 145 degree

Down left:

since it is opposed to the upper right angle which is 35 degrees this one is also equal to 35 degrees.

Down right:

since it is opposed to the upper left angle which is 145 degrees this one is also equal to 145 degrees.

You can always double check by making sure one flat side (left or right or up or down), is equal to 180 degrees.

example: on the right image, for the down part, I wrote as answers 27 degrees (for down left because it is opposed to upper right) and 153 degrees (for down right because it is opposed to upper left) => 153 + 27 = 180 degrees

8 0
3 years ago
Points A(-2, 4), B(1, 3), C(4, -1) and D form a parallelogram. What are the coordinates of D?
Rudik [331]
Let point A(-2,4)  = A (X1,Y1)
      point B( 1,3  )= B (X2,Y2)
      point C(4,-1)  = C (X3,Y3)
and point D(?, ?) = D (X4,Y4)  We have to find this point

To find X4 we have to use the formula:
X2-X1=X3-X4

Now just plug in the numbers that correspond to the letters provided:
(1)-(-2)=(4)-(X4) ----> we don't know what X4 is yet, so we have to solve for it!
1+2=4-X4
3=4-X4
3-4=-X4
-1=-X4  divide both sides by -1
X4=1

Now we have to find Y4 using this formula:
Y2-Y1=Y3-Y4

Therefore,
(3)-(4)=(-1)-(Y4)
-1=-1-Y4
-1+1=-Y4
0=-Y4
So,
Y4=0


Now we have found the coordinates of the point D, which is (1,0)

Hope this helped!
8 0
3 years ago
Read 2 more answers
What is the value of x in the equation 4(2x + 14) = 0? (1 point)
mezya [45]

Answer:

<h2>-7</h2>

Step-by-step explanation:

Simplify the equation first:

8x+56=0

-56 on both sides

8x=-56

-56/8=-7

That's your answer: -7

7 0
3 years ago
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