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2 years ago

5

Sarah is making a scale drawing of a painting that is 60 in. wide by 120 in. high. Her paper is 15 in. wide and 25 in. tall. She

decides to use the scale 1 in. = 4 in. Is this a reasonable scale?

1 answer:

Law Incorporation [45]2 years ago

6 0

Answer:

This is not a reasonable scale.

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Sara is working on a Geometry problem in her Algebra class. The problem requires Sara to use the two quadrilaterals below to ans

zloy xaker [14]

Part A:

Given a square with sides 6 and x + 4. Also, given a rectangle with sides 2 and 3x + 4

The perimeter of the square is given by 4(x + 4) = 4x + 16

The area of the rectangle is given by 2(2) + 2(3x + 4) = 4 + 6x + 8 = 6x + 12

For the perimeters to be the same

4x + 16 = 6x + 12
4x - 6x = 12 - 16
-2x = -4
x = -4 / -2 = 2

The value of x that makes the <span>perimeters of the quadrilaterals the same is 2.

Part B:

The area of the square is given by

$Area=(x+4)^2=x^2+8x+16$

The area of the rectangle is given by 2(3x + 4) = 6x + 8

For the areas to be the same

$x^2+8x+16=6x+8 \\ \\ \Rightarrow x^2+8x-6x+16-8=0 \\ \\ \Rightarrow x^2+2x+8=0 \\ \\ \Rightarrow x= \frac{-2\pm\sqrt{2^2-4(8)}}{2} \\ \\ = \frac{-2\pm\sqrt{4-32}}{2} = \frac{-2\pm\sqrt{-28}}{2} \\ \\ = \frac{-2\pm2i\sqrt{7}}{2} =-1\pm i\sqrt{7}$

Thus, there is no real value of x for which the area of the quadrilaterals will be the same.
</span>

7 0

3 years ago

Find the measure of <1<br> A.) 30<br> B.) 45<br> C.) 15<br> D.) 60

nataly862011 [7]

45 would most likely be right

5 0

3 years ago

FIND M∠R (GIVING BRAINLIEST, 25 PTS)

riadik2000 [5.3K]

Answer:

<h2>76</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

triangles
equation
PEMDAS

<h3>given:</h3>

$M\angle T=2x+2$
$M\angle R=3x+1$

<h3>tips and formulas:</h3>

this is an isosceles triangle since two sides are equal therefore $\angle T=\angle S$
a triangle contains 180°

<h3>let's solve:</h3>

according to the question

2x+2+2x+2+3x+1=180

solve:

collect like terms:7x+5=180
substract 5 from both sides:=>7x+5-5=180-5=>7x=175
divide both sides by 7: =>7x/7=175/7

x=25

given:

M∠R=3x+1

substitute the value of x

3×25+1

75+1

76

7 0

2 years ago

Read 2 more answers

If x = y and y=z which statement is true?

dybincka [34]

The x=y
Is this the the test of the question?

3 0

3 years ago

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the cost of printing a store flyer is 440 for 1000 copies and 880 for 2000 copies. write a linear equation for modeling this dat

Anna35 [415]

Since they tell us that this is linear, having a constant rate of change, we can express this as a line:

y=mx+b, where m=slope (change in y divided by change in x) and b=y-intercept (value of y when x=0)

First find the slope, or m, which mathematically is:

m=(y2-y1)/(x2-x1), in this case:

m=(880-440)/(2000-1000)

m=440/1000

m=0.44, so far our line is:

y=0.44x+b, now we can use either data point to solve for b, I'll use (1000,440)

440=0.44(1000)+b

440=440+b

0=b, so our line is just:

y=0.44x

7 0

3 years ago

Read 2 more answers