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Law Incorporation [45]
3 years ago
5

If angle symbol1 and angle symbol2 are complementary angles and if the measure of angle symbol1 is 5454degrees° more than the me

asure of angle symbol​2, determine the measures of angle symbol1 and angle symbol2
Mathematics
1 answer:
Misha Larkins [42]3 years ago
7 0
<span>Complementary angles by definition sum up to 90 degrees.
   Let x = measure of angle2.
 It's given that angle1 = x + 54

   Since complementary, we know (x+54)+x = 90
 2x+54=90
 2x=36
 x=18.
 So angle2 measures 18 degrees and angle1 is 18 degrees+54 degrees, or 72 degrees. 72+18 = 90 as expected for complementary angles.</span>
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If C = 2m2 + m and D = 2 – 6m + 2m², find an expression that equals<br> 2C - 2D in standard form.
lidiya [134]
C = 2m^2 + m
D = 2 - 6m + 2m^2

2C = 2(2m^2 + m) = 4m^2+2m
2D = 2(2-6m+2m^2) = 4-12m+4m^2

2C - 2D =
4m^2+2m-(4-12m+4m^2) =
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0m^2 + 14m -4 =
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3 years ago
What number 10times greater than 0.03
Rudiy27

Answer:

0.3

Step-by-step explanation:

0.03*10= 0.3

0.3/10= 0.03

you can use a calculator or move the decimal place forward once for each ten

hope this helps <3

3 0
3 years ago
Read 2 more answers
Lawrence High prevailed in Saturday's track
Serggg [28]

Answer:

The answer is below

Step-by-step explanation:

Let x represent a first place finish, y represent a second place finish and z represent a third place finish.

Since there is a total of 20 individual events, hence:

x + y + z = 20          (1)

A first place finish is 5 point, a second place finish is 3 point and third place finish is 1 point. Therefore:

5x + 3y + z = 68      (2)

The second  place finishers is as much as first and third-place  finishers combined. Hence:

y = x + z                   (3)

Solving equation 1, 2 and 3 simultaneously gives:

x = 7,  y = 10 and z = 3

This means the number of first place finishes was 7, second place finishes was 10 and third place finishes was 3

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3 years ago
From the ground, a hot-air balloon went up at a speed of 375 feet per minute for 5 minutes. It then went down at a speed of 225
GarryVolchara [31]

it went up: 375 *5 = 1875 feet total

it went down: 225 *6 = 1350 feet total

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6 0
3 years ago
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A cylinder has volume 628in and a radius of 10 inches. Who’s is the height of the cylinder rounded to the nearest inch?
Anettt [7]

Answer:

h = 20 in

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V = pi * r^ * h

628 = pi x 10 x h

628/(pi x 10) = h

h = 20

7 0
2 years ago
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