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lara [203]
1 year ago
15

If the two adjacent angles are supplementary then their outer sides are???​

Mathematics
1 answer:
Ainat [17]1 year ago
6 0

Answer:

If the bisectors of two adjacent angles are perpendicular to each other, are the angles then supplementary angles?

Suppose two angles ABC and CBD are x and y.

x+y = 180 deg.

The bisector of angle ABC (BE) and the bisector of angle CBD (CF) will form angle EBF = (x/2)+(y/2) = 180/2 = 90 deg.

Conclusion: If the angle bisectors of two adjacent angles are perpendicular to eaxh other, the adjacent angles are supplementary angle

Adjacent angles are when the 2 angles have a common vertex and a common arm.

if the exterior sides of 2 adjacent angles are perpendicular, then the angles are complementary angles.

Then the sum of the 2 adjacent angles is a right angle - 90°.

When 2 angles add up to 90°, they are called a pair of complementary angles.

Step-by-step explanation:

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Babe Ruth's 1931 salary was $80,000, Government statistics show a consumer price index of 15.2 for 1931 and 237 for 2015. Ruth's
Lady_Fox [76]

Answer:

Ruth's 1931 salary was equivalent to a 2015 salary of $1,247,368.

Step-by-step explanation:

This question can be solved by a rule of three.

Government statistics show a consumer price index of 15.2 for 1931 and 237 for 2015.

This means that $15.2 in 1931 is equivalent to $237 in 2015. So

$15.2 in 1931 - $237 in 2015

$80,000 in 1931 - $x in 2015

15.2x = 237*80,000

x = \frac{237*80,000}{15.2}

x = 1,247,368

Ruth's 1931 salary was equivalent to a 2015 salary of $1,247,368.

8 0
2 years ago
Erica earned a total of $50,450 last year from her two jobs. The amount she earned from her job at the store was $1,250 more tha
Mariana [72]

Erica earned a total of $50,450 last year from her two jobs. The amount she earned from her job at the store was $1,250 more than four times the amount she earned from her job at the college.

Lets x be the amount she earned from here job at college

amount she earned at the store = 4 * amount earned at college + 1250

= 4x + 1250

Amount earned at college + amount earned at store = 50450

x + 4x + 1250 = 50450

5x + 1250 = 50450

Subtract 1250 from both sides

5x = 49200 (divide by 5)

x = 9840

she earn $9840 from her job at the college

5 0
2 years ago
Now let the figure show a scale drawing of a park. The scale is 1 unit : 25 meters. What is the horizontal distance across the p
insens350 [35]

The question is missing the figure. So, the figure is attached below.

Answer:

C. 350 m

Step-by-step explanation:

Given:

Scale  is given as:

1 unit  : 25 meters

This means that 1 unit on the grid is equivalent to 25 meters in actual.

Now, from the figure, the horizontal distance across the park is 14 units.

1 unit = 25 meter

Now, we can find the actual distance using unitary method and thus multiplying 25 and 14 to get the actual distance across the park horizontally.

∴ 14 units = 25\times 14=350 meters.

Therefore, the horizontal distance across the park is 350 m in actual.

So, the correct option is option C.

7 0
2 years ago
If cyanide in a stream next to a gold mine increases from 240 ppm to 360 ppm, what percent increase is this?
avanturin [10]

Given :

Initial concentration , 240 ppm .

Final concentration , 360 ppm .

To Find :

Percent increase.

Solution :

Percentage increase is given by :

=\dfrac{Final-Initial}{Initial}\times 100\\\\=\dfrac{360-240}{240}\times 100\\\\=50\%

Therefore , percent increase is 50 % .

Hence , this is the required solution .

4 0
2 years ago
A department store purchases logo shirts at a cost of $10 per shirt. They increase the price 100% and put them on the sales floo
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The original selling price is found by multiplying 100% by $10 and adding that to the original $10. The logo shirt goes on the sale floor for $20. Each of the next three months, the reduced price is found by multiplying the current sale price by 75%. The tax is found by multiplying 5% by the final discounted price and adding the tax to the final sale price.

7 0
2 years ago
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