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OLEGan [10]
3 years ago
6

If you reduce the size of a triangle to a height 2 inches. If the original rectangle was 2 feet wide and 12 inches tall. What is

the width of the reduced rectangle?
Mathematics
1 answer:
stealth61 [152]3 years ago
4 0
4 inches wide is the answer
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I’ll give brainliest
Serjik [45]

Answer:

The graph of the system of equations solves the equation  -\frac{1}{4} x + 2 = 2x - 7 ⇒ C

Step-by-step explanation:

<em>Let us revise some important notes about the slope and y-intercept of a line</em>

The form of the linear equation is y = m x + b, where m is the slope and b is the y-intercept

  • If the line has a positive slope then its direction will be to the right
  • If the line has a negative slope then its direction will be to the left

The y-intercept (0, b) is the the point of intersection between the line and the y-axis

  • If the line cuts the y-axis at a point above the x-axis, then b is positive
  • If the line cuts the y-axis at a point down the x-axis, then b is negative

<em>To solve our question without any calculation, let us find the direction of the slopes and their y-intercepts</em>

∵ The direction of the blue line is to the left

→ That means m in the equation is negative

∴ Its slope is negative

∵ The line intersects the y-axis at point (0, 2)

→ That means b in the equation = 2

∴ The number in the equation is 2

→ Look at the answer we have two answers have negative slope and

   y-intercept 2 in the left hand side ⇒ C and D

∴ The equation of the blue line is represented by the left side -\frac{1}{4} x + 2

→ that means the equation of the red line is represented by the right side

∵ The direction of the red line is to the right

→ That means m in the equation is positive

∴ Its slope is positive

→ Only C has a positive slope in the right side

∴ The equation of the red line is represented by 2x - 7

The graph of the system of equations solves the equation  -\frac{1}{4} x + 2 = 2x - 7

<u><em>Another way:</em></u>

<em>You can solve each equation to find the value of x, then substitute it in one side of the equation to find y , the values of x and y must be (4, 1) as the point of intersection of the two lines in the graph</em>

8 0
3 years ago
Solve the equation for y.<br> X= my
Elodia [21]

Answer:

y = x/m

Step-by-step explanation:

Please type I WILL NAME YOU BRAINLY Please measure the angles and answer it

3 0
2 years ago
Consider the following data set:<br> 11, 6, -2, -4 -5, 0, 8, 15<br> ,<br> Find the median.
s2008m [1.1K]

\bold{ANSWER:}
Median —> 3

\bold{SOLUTION:}

7 0
1 year ago
M∠a=(48−x)°m∠b=(9x−38)°m∠c=90°
Fudgin [204]

Answer:

Option C:

  • m∠a = 38°
  • m∠b = 52°
  • m∠c = 90°

Step-by-step explanation:

Hello!

The sum of all angles in a triangle is 180°.

Add up all the angles and solve for x by setting the equation to 180°.

<h3>Solve for x</h3>
  • ∠a + ∠b + ∠c = 180°
  • (48 - x)° + (9x - 38)° + 90° = 180°
  • 10° + 8x + 90° = 180°
  • 8x = 180° - 90° - 10°
  • 8x = 80°
  • x = 10°

Now that we solved for x, we can plug it back into each equation to solve for each angle.

<h3>Angle A</h3>
  • 48° - x
  • 48° - 10°
  • 38°
<h3>Angle B</h3>
  • 9x - 38°
  • 9(10°) - 38°
  • 90° - 38°
  • 52°
<h3>Angle C</h3>
  • 90°

The answer is Option C:

  • m∠a = 38°
  • m∠b = 52°
  • m∠c = 90°
4 0
1 year ago
The length of a rectangle is 8 feet more than its width. If the width is increased by 4 feet and the length is decreased by 5 fe
alexgriva [62]
Let the width be x.

Length is 8 feet more than width. Length = x + 8

Area = x(x + 8)

width increased by 4, that is,  (x + 4)
Length decreased by 5,    (x + 8 - 5) = (x + 3)

Area  = (x + 4)(x +3)

Area remains the same

x(x + 8) = (x+4)(x +3)

x² + 8x =   x(x +3) + 4(x +3)

 x² + 8x =   x² +3x + 4x +12

x² + 8x =   x² +7x +12        Eliminate x² from both sides

8x = 7x + 12

8x - 7x = 12

x = 12

Dimensions of original rectangle :  x,  x + 8

12, 12 +8 =   12, 20

Original rectangle is   20 feet   by 12 feet 
5 0
3 years ago
Read 2 more answers
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