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devlian [24]
3 years ago
12

The sum of two numbers is 73. Twice the smaller number is one less than the larger number. The smaller number is

Mathematics
1 answer:
Ilya [14]3 years ago
6 0

Answer:

The big number is 41 and the small number is 32.

Step-by-step explanation:

b + s = 73

2b - s = 50        Add these equations together

3b = 123            Divide both sides by 3

b = 41

Now plug this into the first equation to find s

41 + s = 73

-41       - 41

s = 32

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Diego made a scale drawing of a theater. The scale of the drawing was 1 inch : 3 feet. The
Artyom0805 [142]

Answer:

The actual stage is 42 feet long

Step-by-step explanation:

Step 1

Determine the conversion factor as shown;

1 inch in the drawing represents 3 feet in the actual drawing

To convert a measurement in inches in the drawing to an actual measurement, we use a conversion factor of 3. In the same way, to convert a measurement in feet in the actual stage to the drawing measurement in inches, we use a conversion factor of (1/3).

Step 2

Convert 14 inches in the drawing to the actual measurement of the stage as follows;

Actual stage length=drawing length×conversion factor

where;

drawing length=14 inches

conversion factor=3

replacing;

Actual stage length=(14×3)=42 feet

The actual stage is 42 feet long

3 0
3 years ago
What is the area of the figure? <br><br>A. 617.5 m^2<br>B. 824 m^2<br>C. 759 m^2<br>713.5 m^2
Flura [38]
Hey !!

Check the attachment.

Hence, On proper calculations ,
We get our answer as D) 713.5 m^2


Hope it helps you :)

8 0
3 years ago
Draw Line HI perpendicular to Line JK<br> (be sure to include appropriate markings)
kirill [66]

To draw line HI perpendicular to JK we need to follow the given steps:

Place your compass on the given point (point H). Draw an arc across the line on each side of the given point. Do not adjust the compass width when drawing the second arc.

From each arc on the line, draw another arc on the opposite side of the line from the given point (H). The two new arcs will intersect.

Use your ruler to join the given point (H) to the point where the arcs intersect (I).

HI is perpendicular to JK.

What is perpendicular?

Two distinct lines intersecting each other at 90°, or a right angle, are called perpendicular lines.

Properties of Perpendicular Lines

  • These lines always intersect at right angles.
  • If two lines are perpendicular to the same line, they are parallel to each other and will never intersect.
  • Adjacent sides of a square and a rectangle are always perpendicular to each other.
  • The sides of the right-angled triangle enclosing the right angle are perpendicular to each other.

To learn more about perpendicular lines,

brainly.com/question/1202004

#SPJ9

4 0
1 year ago
if the force acting on an object stays the same, then the acceleration of the object is inversely proportional to its mass. if a
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6 = k/9 => k = 6 x 9 = 54 N

a = 54/2 = 27 meters per second per second
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3 years ago
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pantera1 [17]
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