PLEASE HELP!!
What is the sum of the measures of the exterior angles of this triangle?

Answer:

Step-by-step explanation:

Given

Equivalent expression is

Answer: B) Corresponding sides of the two triangles have the ratio of 4:1, which proves SSS similarity. The length of the lake is 132m.

Step-by-step explanation: Similar Triangles are triangles with corresponding sides proportional to each other.

One way to determine if two triangles are similar is a theorem called Side-Side-Side Similarity Theorem or SSS similarity and it states that two triangles are similar if corresponding angles are equal and corresponding sides are proportional.

The triangles below are similar and they obey this theorem because we observe that the angles are the same and the corresponding sides are proportional:

[tex]\frac{big}{small}=\frac{212}{53}=\frac{60}{15}=4[/tex]

So, the ratio of bigger triangle and smaller triangle is 4:1.

With that ratio and suppose length is represented as L:

[tex]\frac{L}{33} =4[/tex]

L = 132

The length of the lake is 132m.

Thus, the answer for this question is

1) The similarity of the triangles is proved by SSS similarty;

2) Ratio of proportion is 4:1;

3) Length of the lake is 132m;

[tex](3x + 6)(5x + 4) \\ [/tex]

[tex] = 3x(5x + 4) + 6(5x + 4)[/tex]

[tex] = 15 {x}^{2} + 12x + 30x + 24[/tex]

[tex] = 15 {x}^{2} + 42x + 24[/tex]

Answer:

60

Step-by-step explanation:

If you multiply -5 and -6 which is 30 and if you multiply -2 and -1, you get 2. If you multiply both 30 and 2, you get 60.

Answer:

Easy it's 60

Step-by-step explanation:

First solve step by step:

-5*-6

=30

30*-2

= - 60

-60* -1

Answer:

Step-by-step explanation:

Percentage of purebred dogs in shelters: 25% Number cats and dogs adopted from shelters each year: 4 million. Percentage of cats euthanized in shelters: 70% Percentage of total shelter intake comprised of cats: Approximately 50% (but in some regions 2/3 of shelter population is cats)

Answer:

70 puppies

Step-by-step explanation:

Find 10% which is 200÷10=20

20*3=60=30%

20÷2=10=5% so 60+10=70 puppies

Answer:

Steak:$38

Chicken:$24.75

Fish:$16.31

Total:$79.06

Step-by-step explanation:

8 x 3 1/2 = 8 x 7/2 = 56/2 = 28

4 2/4 x 5.50 = 4 2/4 x 5 1/2 = 18/4 x 11/2 = 198/8 = 24 6/8 = 24.75

2 1/4 x 7.25 = 2 1/4 x 7 1/4 = 9/4 x 29/4 = 261/16 = 16 5/16 = 16.312 (round it and get 16.31)

38 + 24.75 + 16.31 = 79.06

Answer:

(3,5)

Step-by-step explanation:

Answer:

314

Step-by-step explanation:

Answer:

ok I won't

Step-by-step explanation:

Answer rounded by nearest thousand

1.085

Answer rounded by nearest day

2

Step-by-step explanation:

25/135

          make into a unit fraction

0.185/1

            multiple by ten

1.85/10

Answer:

$8.50

Step-by-step explanation:

ok so if you divide 3.40 by 5 you get .68 and you multiply that to get 8.16 then you divide .68 to get the cost of half a pound and you get .34 so you add that to 8.16 and get 8.5.  

your answer is $8.50

hope this helps!

Answer:i know this is no help now but plz give my sister brainliest for what she did last year.

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

The slope is 1/0, and that equals 0.

Answer:

It's undefined

Step-by-step explanation:

Answer:

x= 1/a-1/b

Step-by-step explanation:

use math.way

The answer to your question is 1 because:

'ax' and 'bx' have no values, they are missing numbers.

We have to cancel out one 1, and our answer is 1.

Carry on Learning!

Answer:

2 angles

Step-by-step explanation:

only 2 angles are ternate exteriors

Answer: 12

Step-by-step explanation:

I did it

-13

Answer:

since 5+8 is 13 and there's a '-' in the five than it's-13

Answer:   The square side lengths are  1 cm, 5 cm, and 11 cm.

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

Explanation:

Refer to the diagram below.

Define the following areas

It doesn't really matter how you set up the labels, or what letters you pick, as long as you stay consistent.

We're told that "The areas of the overlapping zones are 2 cm², 5 cm², and 8 cm²", so let's make

Furthermore, we are told that "The total area of ​​the non-overlapping area of ​​the squares is 117 cm²" which means A+B+C = 117

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

Refer to the diagram. For now, focus on the upper right square. It has regions A, E, and F. The area of this square is A+E+F

Similarly, the area of the left-most square is D+B+E

The area of the bottom-most square is C+F+D

Add up the expressions we found and we get

(A+E+F)+(D+B+E)+(C+F+D) = A+B+C+2D+2E+2F

This represents the sum of all three square areas even if we peeled the squares apart to not overlap.

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

Let's plug in A+B+C = 117

We get

A+B+C+2D+2E+2F

117+2D+2E+2F

Now plug in D = 2, E = 5, and F = 8

117+2(2)+2(5)+2(8)

117+4+10+16

117+30

147

The sum of the three square areas is 147 square cm.

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

Now we have to do a bit of trial and error. We're looking for ways to break up 147 such that it is a sum of three squares.

In other words, we want to find integers m,n,p such that m^2+n^2+p^2 = 147

Let's try subtracting off 121

147-121 = 26

I picked 121 since it's the largest perfect square just smaller than 147

Repeat this process, but do so for 25 since 25 is smaller than 26

26-25 = 1

We can see that

1 + 25 + 121 = 147

1^2 + 5^2 + 11^2 = 147

One solution is m = 1, n = 5, p = 11. There may be other solutions. Keep in mind that m,n,p are positive whole numbers.

So we got a bit lucky with our trial and error process. If we didn't find such a triple, we'd have to try other possible combos of squares until we get the right match.

Because 1^2 + 5^2 + 11^2 = 147, this means the squares' side lengths are 1, 5, and 11.

Answer:

$2.7

Step-by-step explanation:

0.75+1.95 is 2.7

Hope this helps Mery Christmas!

Answer:

Step-by-step explanation:

since we dont know how much of each item we bought we cant fully do this but here is our equation anyway

y = 0.75p + 1.95c

once we know how many of each item he bought then we can find the final answer

hope this helps <3

Answer:

20.6

Step-by-step explanation:

The exponential function to solve the problem.

A = [tex]A_0[/tex] [tex]e^{rt}[/tex]

A = population in time t.

[tex]A_0[/tex] = Initial population.

r = growth rate.

t = time

The number of days taken to triple the population is 20.7 days.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The exponential function to solve the problem.

A = [tex]A_0[/tex] [tex]e^{rt}[/tex]

A = population in time t.

[tex]A_0[/tex] = Initial population.

r = growth rate.

t = time

Now,

A = 2[tex]A_0[/tex]

t = 13

A = [tex]A_0[/tex] [tex]e^{rt}[/tex]

[tex]2A_0[/tex] = [tex]A_0e^{13r}[/tex]

2 = [tex]e^{13r}[/tex]

Taking logs on both sides.

log 2 = 13r log e

0.30 = 13r

r = 0.30/13

r = 0.023

Now,

A = 3[tex]A_0[/tex]

A = [tex]A_0[/tex] [tex]e^{rt}[/tex]

3 = [tex]e^{rt}[/tex]

log 3 = rt

0.48 = 0.023t

t = 0.48/0.023

t = 20.7 days.

Thus,

The number of days taken to triple the population is 20.7 days.

Learn more about functions here:

https://brainly.com/question/28533782

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Answer:

26

Step-by-step explanation:

Answer:

m<5 = 71 and m<8 = 109

Step-by-step explanation:

m<1 is equivalent to m<5 and m<2 is equivalent to m<8.

Answer:

∠5 = 71°

∠8 = 109°

Step-by-step explanation:

∠1 = 71°

∠5 = 71°  (the same as ∠1 = 71°) its a corresponding angle

∠8 = 180 - ∠5

∠8 = 180 - 71

∠8 = 109°

Answer:

B) EF

Step-by-step explanation:

A diameter the length of the line through the center that touches two points on the edge of the circle.

In this case, EF is the two points touching the edge of the circle.

Answer:

The rate of change is -2

Step-by-step explanation:

I know because I used a calculator and it is decreasing by 2 in the x column. Plzz can I have brainiest

Answer:

5x=3+7

5x=10

X=10/5

=2

Answer:

[tex]Area = 968000cm^2[/tex]

Step-by-step explanation:

To be able to answer this question properly. I'll assume the length of the room is in meters.

So for the room, we have:

[tex]Length = 12.8m[/tex]

[tex]Breadth = 850cm[/tex]

For the bed, we have:

[tex]Length = 300cm[/tex]

[tex]Breadth = 400cm[/tex]

First, we calculate the surface area of the room.

[tex]A_1 = 12.8m * 850cm[/tex]

Convert all units to cm

[tex]A_1= 12.8*100cm * 850cm[/tex]

[tex]A_1= 1 088 000 cm^2[/tex]

Next, we calculate the area of the bed

[tex]A_2 = 300cm * 400cm[/tex]

[tex]A_2 = 120000cm^2[/tex]

The area of the space left  is the difference between A1 and A2

[tex]Area = A_1 - A_2[/tex]

[tex]Area = 1088000cm^2 - 120000cm^2[/tex]

[tex]Area = 968000cm^2[/tex]

x-12=12

x=24

your brother is 24 years old

Answer:

$38.25

Step-by-step explanation:

Answer:

Sale Price: $85 * 0.55 = $46.75

Step-by-step explanation:

Answer:

(-3,0), (1,0),(-5,0)

Step-by-step explanation:

Answer:

Step-by-step explanation:

tan(16)=125/a

tan(16)=35.8 (DC)

tan(7)=125/a

tan(7)=15.3

35.8-15.3=20.5

Sorry if that's incorrect, my best is 20.5 feet.

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

Work Shown:

Let

x = length of AD in feet

y = length of DC in feet

x and y are positive real numbers.

For now, focus on triangle BCD. Ignore point A and its associated angle.

tan(angle) = opposite/adjacent

tan(D) = BC/DC

tan(16) = 125/y

y*tan(16) = 125

y = 125/tan(16)

y = 435.926805480113

y = 435.926805

The value of y is approximate

Now focus on triangle ABC. Ignore point D and its associated angle.

tan(angle) = opposite/adjacent

tan(A) = BC/AC

tan(A) = BC/(AD+DC)

tan(7) = 125/(x + y)

(x+y)*tan(7) = 125

x*tan(7) + y*tan(7) = 125

x*tan(7) = 125 - y*tan(7)

x = ( 125-y*tan(7) )/( tan(7) )

x = ( 125-435.926805*tan(7) )/( tan(7) )

x = 582.116498496824

x = 582

The distance from A to D is approximately 582 feet.

Answer:

D on edge 2020

Step-by-step explanation:

the coordinate point is at (-1, 1.75)

The graph second representing the complex number 2(cos(2π/3)+i sin(2π/3)) on a coordinate plane option second is correct.

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

The complete question is:

Which graph represents 2(cos(2π/3)+i sin(2π/3))?

The graphs are in the picture, please refer to the picture.

We have a complex number;

= 2(cos(2π/3)+i sin(2π/3))

= 2(cos120 + i sin120)

= 2(-0.5 + i 0.866)

= -1 + i 1.732

The point is (-1, 1.732)

Thus, the graph second representing the complex number 2(cos(2π/3)+i sin(2π/3)) on a coordinate plane option second is correct.

Learn more about the complex number here:

brainly.com/question/10251853

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Answer:

The game system is 145, and the games cost 435.

Step-by-step explanation:

4x = 580

580/4=145

145x3=435 which is the cost of the games.

145 is the cost of the game system.