What is the measure of the third angle in the similar triangles below?
A. 25
B. 65
C. 85
D. 115

Answer:

shen's new area will be 1200 ft ^ 2

It will be 2 times the original

Donna should increase the length by 5 times

Step-by-step explanation:

Original length = 40

New length = 30 x 4 = 120

Original width = 20

New width = 20 x 5 = 100

120 x 100 = 12000 ft^2

12000/600 = 20

It will be 20 times larger

For Donna:

ex:

length = 1

width = 2

Area = 2

He wants it to be 15 times 2

Lisa says increase 4 times

2 x 3 = 6

30/6 = 5

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

a) 120 ft x 100 ft = 12000 [tex]ft^{2}[/tex]

b) 20 times

c) 5 times

Step-by-step explanation:

a) 30x4 = 120

20x5 = 100

120x100 = 12000

b) 12000/600 = 20

c) 15/3 = 5

Answer:

ancho de ese culotote

Step-by-step explanation:

the answer is

y≥2x/5+2

Step-by-step explanation:

we moved the y to the right site and the -10 to the left site

so we had

2x+10≤5y

and then we devided by 5

2x/5+10/5≤y

y≥2x/5+2

hopefully its correct

Answer:  Choice D

[tex]y \ge \frac{2}{5}x +2\\\\[/tex]

=======================================

Work Shown:

[tex]2x - 5y \le -10\\\\-5y \le -2x-10\\\\y \ge \frac{-2x-10}{-5} \ \text{ ... see note1 below}\\\\y \ge \frac{-2x}{-5} - \frac{10}{-5}\\\\y \ge \frac{2}{5}x +2 \ \text{ ... answer is choice D}\\\\[/tex]

Note1: when dividing both sides by a negative number, the inequality sign flips.

----------------

Here's another approach that doesn't involve dividing both sides by a negative number.

[tex]2x - 5y \le -10\\\\2x \le -10+5y\\\\2x +10\le 5y\\\\5y \ge 2x+10 \ \text{ .... see note2 below}\\\\y \ge \frac{2x+10}{5}\\\\y \ge \frac{2x}{5} + \frac{10}{5}\\\\y \ge \frac{2}{5}x +2\\\\[/tex]

Note2: I swapped the left and right sides. Doing this swap means that the inequality sign must flip as well.

Answer:b ryry

Step-by-step explanation:

Answer:

8.67dollars

Step-by-step explanation:

20-3.25-3.79-4.29=8.67

Answer:

Axis of symmetry: x=-4

Step-by-step explanation:

If x=-7 and x=-1 are solutions to a quadratic equation, then that quadratic equation must be (x+1)(x+7)=0 -> x^2+8x+7=0 as both solutions satisfy the Zero Product Property where the function is f(x)=x^2+8x+7. The axis of symmetry would be the line x=-b/2a which means the axis of symmetry is x=-(8)/2(1)=-8/2=-4 -> x=-4. It can also be found by turning f(x)=x^2+8x+7 into f(x)=(x+4)^2-9 by completing the square, and since h=-4, then the axis of symmetry would be x=h=-4. Refer to the graph.

Answer:

32+4×[12-(2+4)]

=32+4×[12-6]

=32+4×6

=32+24

=56,,answer

hope this will help you more

Answer:

x=1

Step-by-step explanation:

6x+2=9x-1

You first want to isolate the variable to one side, so subtract 6x and 9x

2=9x-1

-6x

2=3x-1

Now you want to get rid of the constant, so add 1 to the other side

2=3x

+1

3=3x

Now divide both sides by 3 to remove the 3 from x.

3/3=3x/3

1=x

Answer:

f(8) = 195

Step-by-step explanation:

When the x if f(x) is replaced with an 8, this just means that it is the eighth term. All you really have to do is replace every X in the function to find the answer.

f(8) = 3 + 3(8)²

f(8) = 3 + 3(64)

f(8) = 3 + 192

f(8) = 195

Hope this helps!

Answer:

195

Step-by-step explanation:

plug 8 =x into the equation

Answer:

180 is closest to upper quartile

Step-by-step explanation:

Answer:

-9x-12

Step-by-step explanation:

Answer:

Factor Awnser....  -3(3x+4)

Simplify Awnser.... -9x-12

Step-by-step explanation:

not sure which you needed

Answer:

He would be about 69 inches

Answer:

69 inches tall

Step-by-step explanation:

add 5ft = 60 inches + the other 9 inches which is

69 inches all together

Answer:

31/24 or 1.29

Step-by-step explanation:

First isolate m to one side of the equation

7/8+5/12=m

21/24 + 10/24=m

31/24=m or you can simplify to get 1.29

Answer:

14 feet

Step-by-step explanation:

c = πd

Plug in the givens

43.96 = 3.14d

Divide both sides by 3.14

14 = d

Answer:

Diameter = circumference ÷π

43. 96÷3. 14 =14 feet

Answer:

12.7 cm

Step-by-step explanation:

Area of a trapezium = 1/2 x ( a + b) x height

a and b represents the bases

140 = 1/2 x (12 + 10) x h

140 = 11h

h = 140 / 11

h = 12.727 cm

h = 12.7 cm to the nearest tenth

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Answer:

12 bounce

Step-by-step explanation:

Let :

Number of Menard's bounce = x

Ben's bounce = x + 8

Diego's bounce = 2x

If Diego's bounce = 8

Then ;

2x = 8

x = 8/2

x = 4

Ben's bounce = x + 8

Ben's bounce = 4 + 8 = 12

Answer:

a

Step-by-step explanation:

Answer:

I’m pretty sure the answer is 113.03

9514 1404 393

Answer:

  C, D, B, A

Step-by-step explanation:

The values shown are ...

So, from greatest to least, the values are ...

  √9 +√2 ≈ 4.41

  8/3 ≈ 2.67

  √5 -5 ≈ -2.76

  -π ≈ -3.14

here's the solution,

[tex] \boxed{\small{volume = area \: \: of \: base \: \: \times height}}[/tex]

so,

=》

[tex]v = 25\pi \times 2[/tex]

=》

[tex]v = 50\pi[/tex]

if you solve for π then the value will be :

but in terms of π the value will be :

The volume of the cylinder is 157 unit³.

The amount of space occupied by a three-dimensional figure as measured in cubic units.

Given: B= 25π, h= 2 units

Base area= 25π

πr²=  25π

r²=25

r=±5 units

Now, Volume of cylinder= πr²h

                                         = 3.14* 5* 5* 2

                                         = 157 unit³

Hence, the volume of cylinder is  157 unit³.

Learn more about volume of cylinder here:

https://brainly.com/question/16134180

#SPJ2

Huge volumes of data on the present state of environmental conditions, notably temperatures, moisture, and wind, are gathered in order to predict weather forecasts, and via the atmospheric procedure, meteorology data analysts assess how the atmosphere will change.

Learn more:

https://brainly.com/question/19015263?referrer=searchResults

Answer:

- 8

Step-by-step explanation:

Given

x² - 64 = 0 ( add 64 to both sides )

x² = 64 ( take the square root of both sides )

x = ± [tex]\sqrt{64}[/tex] = ± 8

Solutions are x = 8 and x = - 8

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{4n + 19 + 3n - 2n - 5}[/tex]

[tex]\large\text{COMBINE the LIKE TERMS}[/tex]

[tex]\large\text{(4n + 3n - 2n) + (19 - 5)}[/tex]

[tex]\large\text{4n + 3n - 2n}\\\large\text{4n + 3n = \bf 7n}\\\large\text{7n - 2n = \bf 5n}[/tex]

[tex]\large\text{5n + (19 - 5)}[/tex]

[tex]\large\text{19 - 5 = \bf 14}[/tex]

[tex]\large\text{= \bf 5n + 14}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf Option C. 5n + 14}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

it might be 7yd^3 im not to sure.

Step-by-step explanation:

Answer:

B. About 2% of the boys are eligible to be a small forward on the team

Step-by-step explanation:

Recall : 1 feets = 12 inches

Point guard = 6’2" – 6’6" tall = 74 - 78 inches

Mean = 70 ; Standard deviation = 4

Z = (x - mean) / standard

P(x < 74) = (74 - 70) / 4 = 1

P(x < 78) = (78 - 70) / 4 = 2

0.97725 - 0.84134 = 0.13591

Small forward : 6'6" = 78 inches

P(x ≥ 78) = (78 - 70) / 4 = 2

P(z ≥ 2) = 0.02275 = 2.275% about 2%

Centre : 6'8" = 80

P(x ≥ 80) = (80 - 70) / 4 = 2.5

P(z ≥ 2.5) = 0.0062097 = 0.62%

About 2% of the boys are eligible to be a small forward on the team. Then the correct option is B.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

A high school basketball coach is selecting his team.

The minimum and maximum height requirements are as follows:

Point Guard: Small Forward: Center:

6’2" – 6’6" tall at least 6’6" tall at least 6’8" tall

The heights of the Lincoln High School boys have a normal distribution with a mean height of 70 inches and a standard deviation of 4 inches.

The value of the z-score will be

[tex]z = \dfrac{x - \mu }{\sigma}[/tex]

[tex]P(x < 74) = \dfrac{74-70}{4} = 1 \\\\P(x < 78) = \dfrac{78-70}{4} = 2[/tex]

0.97725 - 0.84134 = 0.13591

Small forward: 6'6" = 78 inches

[tex]P(x \geq 78) = \dfrac{78- 70 }{4} 2\\\\\\P(z \geq 2) = 0.02275 = 2.275 \%[/tex]

Centre: 6'8" = 80 inches

[tex]P(x \geq 80) = \dfrac{80- 70 }{4} 2\\\\\\P(z \geq 2.5) = 0.0062097= 0.62 \%[/tex]

More about the z-score link is given below.

https://brainly.com/question/13299273

Answer:

If you spend 110% more you would have spent 105 dollars. 110 percent of 50 is 55 so I added that to the orginal amount to get what you would have spent if you spent 110 percent more

Answer:  x= 1/7 y + -3/7

Step-by-step explanation:

y=7x+3

Step 1: Flip the equation.

7x+3=y

Step 2: Add -3 to both sides.

7x+3+(−3)=y+(−3)

7x=y−3

Step 3: Divide both sides by 7.