Emma made a scale model of the Sam Houston's monument. The monument's actual height is 67 ft tall. Emma is using a scale where 1 inch is 10 ft. What is the height of Emma's model?

The area of the rectangle is 44 square inches larger than the area of the square.

The area of a rectangle is defined as the product of the length and width.

Let represents the original side length of the square "s", then the dimensions of the rectangle are (s+10) inches and (s-1) inches.

So the area of the rectangle is (s+10)(s-1) = s² + 9s - 10.

Since the area of the rectangle is given as 80 square inches, we can set up the equation:

s² + 9s - 10 = 80

Solving this equation for s, we find that s = 6. This means that the original side length of the square was 5 inches.

The area of the square is s² = 6² = 36 square inches. So the area of the rectangle is 80 square inches and the area of the square is 36 square inches.

Therefore, the area of the rectangle is 80 - 36 = 44 square inches larger than the area of the square.

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Answer:

  see attached

Step-by-step explanation:

Find the y-values corresponding to x-values of 0 and 1, then plot those points and draw a line through them.

For x=0, ...

  y = -4·0 -1 = -1 . . . . the point is (0, -1) . . . the y-intercept

For x=1, ...

  y = -4·1 -1 = -5 . . . . the point is (1, -5)

The attached graph shows these points and the line through them.

Answer:

2/-2

Step-by-step explanation:

X-axis is first and Y-axis

Answer:

Slope: [tex]m=-\frac{1}{2}[/tex]

y-intercept: [tex](0,-1)[/tex]

Equation: [tex]y=-\frac{1}{2}x-1[/tex]

Step-by-step explanation:

Slope-intercept form of an equation is written as [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

The slope of a line that passes through the points [tex](x_1,\: y_1)[/tex] and [tex](x_2, \: y_2)[/tex] is [tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]. Using the coordinates [tex](-2, 0)[/tex] and [tex](2,-2)[/tex] as given in the problem, we have slope of this line to be:

[tex]m=\frac{-2-0}{2-(-2)}=\frac{-2}{4}=-\frac{1}{2}[/tex].

Now using this slope we've found and any point the line passes through, we can find the y-intercept of this equation:

[tex]0=-\frac{1}{2}(-2)+b, \\ b=-1[/tex]

Therefore, the equation of this line in slope-intercept form is [tex]\fbox{$y=-\frac{1}{2}x-1$}[/tex].

The y-intercept occurs when [tex]x=0[/tex]:

[tex]y=-\frac{1}{2}(0)-1, \\\\y=1[/tex]

Thus, the y-intercept is

[tex](0, -1)[/tex]

Answer:

The answer is 4/3 or 1.33 square units.

Step-by-step explanation:

Length = 1 + 7/9 = 16/9 units.

Width = 3/4 units.

Since area of rectangle = Length * Width

Area = 16/9 * 3/4 = 4/3 square units.

Answer:

Step-by-step explanation:

Each point moves 3 times the distance from the center of dilation that it was.

You can compute the new coordinates by ...

 L = P - O . . . . . the length from O to P is P-O for some point P and origin O

Then 3 times that distance is

 3L = 3P -3O

We want to find the point P' that is 3L from O, so we add this distance to the coordinates of O. We get ...

 P' = 3L +O = 3P -3O +O

 P' = 3P -2O

So, for the lower left point A(-2, -7), the dilated image point A' is ...

 A' = 3(-2, -7) -2(2, -7) = (-6, -21) +(-4, 14) = (-10, -7)

That is, ...

 A' = 3A +(-4, 14)

The coordinates of the remaining points can be found similarly.

___

On a graph, it is usually fairly easy to count the grid squares in each direction between the point of interest and the center of dilation. The image point is 3 times the distance in each direction (horizontally, vertically).

Answer:

See the attached picture

Step-by-step explanation:

Verified correct with test results.

Answer: He was given 50 for his birthday

Answer:

It's b

Step-by-step explanation:

This was the first answer I gave. So I am going with it.

Answer:

A

Step-by-step explanation:

For this question, just look at the y-intercept (equals 2 btw), that is where the line crosses the y-axis. Hope this helps :)

Answer:

(B). 50°

Step-by-step explanation:

(5x + 55)° = (2x + 100)°

5x + 55 = 2x + 100

5x - 2x = 100 - 55

3x = 45

x = 15

5(15) + 55 = 130°

m∠2 = 180° - 130° = 50°

Answer:

d. $13.35

Step-by-step explanation:

subtract

i am so sorry if this is wrong! hope this helps:)

Answer:

the correct awnser would be c because both the climate and weather can change daily

Step-by-step explanation:

❀[tex] \underline{ \underline{ \text{Given}}} : [/tex]

Then, Increment of the marks = 30 - 20 = 10

❀ [tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

❀ [tex] \underline{ \underline{ \text{Solution}}} : [/tex]

[tex] \boxed{ \sf{Percentage \: of \: increment = \frac{Increase \: of \: marks}{Initial \: marks} \times 100\%}}[/tex]

⇒ [tex] \sf{ \frac{10}{20} \times 100\%}[/tex]

⇒ [tex] \boxed{ \sf{50 \: \%}}[/tex]

[tex] \pink{ \boxed{ \boxed{ \bold{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{50\%}}}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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Answer:

3/4   and  2/5 have a common denominator of 20, so re-write

15/20x - 2 = 8/20       Now multiply both sides by 20

15x-40 = 8

Step-by-step explanation:

hope this helps!! good luck!!

Answer:

The answer is 3 :D

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27*9=3

Answer:

RT is corresponding to TY

Hence, we conclude that:

Step-by-step explanation:

Given

△RST ≅ △TXY

It means the triangles △RST and △TXY are congruent to each other.

We know that congruent triangles have equal corresponding parts.

Please check the attached graph.

From the graph, it is clear that:

We need to determine RT

as

RT is corresponding to TY

i.e. RT = TY

Hence, we conclude that:

Answer:

B

Step-by-step explanation:

I used desmos

Answer: They are congruent, because the angle representers are equal on both triangles

Step-by-step explanation:

Answer:

A. AAS(Angle-Angle-Side)

Step-by-step explanation:

From the image, you can already see 1 angle and 1 side measured.

But, angle KLJ and angle MLN are congruent to each other as well because they are vertical angles (angles on opposite sides). And vertical angles are always congruent to each other.

So in total, we have 2 angles and 1 side congruent to each other,

<KLJ and <MLN

<LKJ and <LMN

KJ and MN

From the other (based on the image), they are ordered in a angle angle, side format. So the answer is AAS.

Hope I was able to help! Good Luck!

Answer:

360-(<XYZ + <WYZ)

Step-by-step explanation:

Angles around a point add up to 360°

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Answer:

4.06 dollars

Step-by-step explanation:

To find the discount, you multiply 4.78 by 0.15. You get 0.717. You round it to get 0.72. You then subtract. 4.78-0.72=4.06.

Answer:

Yes it is! good job

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

1.) 2(8x-1)+2(2x+4)

2.) 16x-2+4x+8

3.) (20x+6)

Step-by-step explanation:

The perimeter of the rectangle is (20x + 6)inches

The formula for calculating the perimeter of a rectangle is expressed as:

P = 2l + 2w

Given that;

l = 8x - 1

w = 2x + 4

Susbtitute

P = 2(8x - 1) + 2(2x + 4)

Expand

P = 2(8x) - 2(1) + 2(2x) + 2(4)

P = 16x - 2 + 4x + 8

P = 16x + 4x - 2 + 8

P = 20x + 6

Hence the perimeter of the rectangle is (20x + 6)inches

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Answer:

(0,-5)

Step-by-step explanation:

This is the y intercept I graphed it

Answer:

(0,-5)

Step-by-step explanation:

3y-5x=-15

Add 5x on both sides

3y=5x-15

Divide each side by 3

y=5/3x-5

y=mx+b

b is the y-intercept

b=-5

Therefore (0,-5) is the answer

ANSWER: the same y intercepts

good luck on the test or quiz :)

Answer:

40 miles per hour.

Step-by-step explanation:

100 miles/2.5 hours = 40 miles per hour.

I might be wrong though.

Answer: x = 3

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

[tex]D. k \leq -25[/tex]

Step-by-step explanation:

[tex]2 - \frac{k}{5} \geq 7\\-2\\\frac{-k}{5}^{-5} \geq 5^{-5} \\k \leq -25[/tex]

Answer:

D. k≤ - 25  

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Answer: 14

Step-by-step explanation:

Answer:

r = 68 km

Step-by-step explanation:

56 - 25 = 32

There is a 32 km difference between the two triangle so you would add 32 to 62...

32 + 36 = 68

r = 68 km