A birdhouse and the pole that it is on cast a shadow 15 feet long. If a person standing nearby casts a shadow 5 feet long, and the person is 4 feet tall, how tall are the birdhouse and the pole? how do you put this in a ratio??

Answer: 2 solutions

-2 and 9

Step-by-step explanation:

see pic

Answer:

The number of lines for each angle tell you which angles are congruent.

The angle with one line in one triangle is the same as the angle with one line in the other triangle.

(a)

∠A ≅ ∠X

∠B ≅ ∠Z

∠C ≅ ∠Y

The dashes of the side lengths tell you which side lengths are congruent.

The line with one dash in one triangle is the same as the line with one dash in the other triangle.

(b)

AB ≅ XZ

AC ≅ XY

BC ≅ ZY

(c)

ΔBCA ≅ ΔZYX

Answer:

Option A

Step-by-step explanation:
To find the answer we need to graph the following equations to see which equation is parallel to the given equation 2x + y = -2x. Your answer is option A or "y = -2x + 3." One of the biggest rules when trying to find out if the two lines are parallel to each other is seeing if the two lines intercept. In this case if you graph all the following options, the only line that does not intercept the first line 2x + y = -2 is the option A, which means it's your answer.

Hope this helps.

A triangle is a three-sided polygon with three vertices and three edges. The number of triangles in the given figure are 1, 3, 9, and 27.

A triangle is a three-sided polygon with three vertices and three edges. It is one of the most fundamental geometric forms.

The number of shaded triangles in each of the triangles is shown below, therefore, the number of triangles in each triangle can are:

1st triangle = 1

2nd triange= 3

3rd triangle = 9

4th triangle = 27

Hence, the number of triangles in the given figure are 1, 3, 9, and 27.

Learn more about Triangles:

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Answer:

first part is 1, 3, 9, 27

second part is A

third part is 29,524

Step-by-step explanation:

edg 23'

Answer:

24 weeks

Step-by-step explanation:

I'm not sure exactly what you're asking but if he's making $50 a week it would take him 24 weeks to have enough money for the car. Here is an inequality for the amount he needs: 50x+1800≥3000

Answer:

A. 6

B. 2

C. 18

Step-by-step explanation:

Answer:

Statement P is T

Stamens Q is F

Step-by-step explanation:

Here, we want to write the truth value for each of the statements.

For statement P, the truth value is T since in reality Atlanta is the capital of Georgia.

For statement q, the truth value is F since in reality there are 3 feet in a yard

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The slope could be determined by plugging in what you know into here....

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

then plug in what you know...

[tex](1,-2)\\(3,2)\\y_{2} =-2\\y_{1} =2\\x_{2} =1\\x_{1} =3[/tex]

[tex]m=\frac{-2-2}{1-3} =\frac{-4}{-2} =2[/tex]

So the slope is 2.

Answer:

A. 75.6 in³

Step-by-step explanation:

The volume of a rectangular prism is V = Bh, where B = area of the base and h = height. We're given the dimensions of the base as 4.2 and 3, and the height as 6.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

A. 75.6 in³

Step-by-step explanation:

Given :-

Base area = 4.2 in x 3 in

Height = 6 in

To find :-

Volume

Formula required :-

Volume = length x breadth x height

Volume = base area x height

Solving :-

V = 4.2 x 3 x 6

V = 12.6 x 6

V = 75.6 in³

Solution :-

A. 75.6 in³

Answer:

Step-by-step explanation:

For exact divisions such as 10 ÷ 5 = 2, we have an integer as a quotient, and for divisions such as 12 ÷ 5 = 2.4, the quotient is a decimal.

Answer: add to eliminate x

Step-by-step explanation:

Answer:

add to eliminate x

Step-by-step explanation:

In my opinion, the fourth option is the answer

Answer:

88145 doctors

Step-by-step explanation:

Percentage of male doctors=64/100×53100=

35046%.

Therefore 53100+35046=

88145 doctors

Answer:

Step-by-step explanation:

area of parking lot=(100-x)(100+x)=100²-x²=(10000-x²)ft²

original area=100²=10000 ft²

x²>0

so new area is decreased.

Answer:

Let's find how many letters California has first, c-a-l-i-f-o-r-n-i-a has 10 letters.

Now let's find how many letter A's are in the word California, California has two a's in the word.

So there are 2 cards out of 10 that could possibly be selected as the letter A.

Your probability is:-

2/10 which simplifies to 1/5, if you wanted to make this a percentage as well;

1/5 * x/100

solve for x;

20%

The required probability of turning over an A is given as 20% or 0.2.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
California = C, a, l, i, f, o, r, n, i, a = 10 letters
So,
Number of card = 10

Now,
there are two a's in the card deck
So the probability of turning over an A,
= 2 / 10
= 0.2 or 20%

Thus, the required probability of turning over an A is given as 20% or 0.2.

Learn more about probability here:

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#SPJ2

Answer:

-x12

Step-by-step explanation:

cause I know

Answer:

21+48.10=69.10

Step-by-step explanation:

21

+

48.10

=

69.10

Answer:

y-intercept formula: b=mx-y

X-intercept formula: b=Mx+y

Step-by-step explanation:

m=slope

Answer:

FBC=DBG

Step-by-step explanation:

Edge 2020

Based on the congruent supplements theorem which says that two angles are that are supplements of the same angle are congruent, therefore:  ∠FBC ≅ ∠DBG.

The congruent supplements theorem states that when two angles are congruent or supplements of the same angle, therefore, the two angles can be proven to be congruent angles.

Therefore, from the information given, we can conclude based on the congruent supplements theorem that:  ∠FBC ≅ ∠DBG.

Learn more about congruent supplements theorem on:

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Answer:

The slope of the line is  [tex]-\frac{1}{7}[/tex]

Step-by-step explanation:

The rule of the slope of a line which passes through points

(x1, y1) and (x2, y2) is

∵ The line passes through points (19, 8) and (-2, 11)

∴ x1 = 19 and x2 = -2

∴ y1 = 8 and y2 = 11

→ Use the rule above to find the slope of the line

∵ [tex]m=\frac{11-8}{-2-19}=\frac{3}{-21}[/tex]

→ Simplify the fraction by divide up and down by 3

∴ [tex]m=-\frac{1}{7}[/tex]

∴ The slope of the line is  [tex]-\frac{1}{7}[/tex]

Answer:

Part a: A square and a rhombus both have sides of equal length.

Let's calculate the length of each side.

[tex]\overline{PL}: \sqrt{(0-5)^2+(3-3)^2}=\sqrt{25+0}=5\\\overline{LA}\sqrt{(5-2)^2+(3-(-1))^2}=\sqrt{3^2+4^2}=5\\\overline{AN}:\sqrt{(2-(-3))^2+(-1-(-1))^2}=\sqrt{25+0}=5\\\overline{NP}:\sqrt{(-3-0)^2+(-1-3)^2}=\sqrt{3^2+4^2}=5[/tex]

All sides measure 5. So it's at least a rhombus (think of a square as a rhombus with extra restrictions).

Part b: A square has extra restriction, more important all angles being 90° and diagonals having the same length. If you discussed about slopes it's easy to see that two sides are horizontal but the other two are NOT vertical. Which might be proof enough.

But the exercise looks about lengths on the plane, so let's measure diagonals.

[tex]\overline{PA}=\sqrt{(0-2)^2+(3-(-1))^2}= \sqrt{2^2+4^2}=\sqrt{20}\\\overline{LN}=\sqrt{(5-(-3))^2+(3-(-1))^2}= \sqrt{8^2+4^2}=\sqrt{80}[/tex]

The two diagonals have different lengths, so the figure cannot be a square.

9514 1404 393

Answer:

Step-by-step explanation:

A) Any positive integer is all of real, natural, integer, and rational. A couple of examples of positive integers are 2, and 3.

Any non-complex number is real: -98.6, +29.7π.

Natural numbers are positive integers: 89, 10103.

Integers are any positive or negative number that has no fractional part. Zero is also an integer. A couple are -3, 0.

A rational number is one that can be expressed as the ratio of two integers. Any finite decimal number and any repeating decimal number are rational numbers. A couple of these are 22/7 and -0.0037285.

An irrational number is a number that cannot be expressed as the ratio of two integers. A cube root of a number that is not a perfect cube will be irrational, for example, The same is true of other roots. √2, ∛-5 are irrational. Pi (π) is a famous irrational number, along with 'e', the base of natural logarithms.

__

B) The terms inside parentheses are unlike, so cannot be combined. The only way this expression can be simplified is by removing the parentheses using the distributive property.

  -5(2x -3y +6z -10) = (-5)(2x) +(-5)(-3y) +(-5)(6z) +(-5)(-10)

  = -10x +15y -30z +50

Answer:

y < -3

Step-by-step explanation:

Answer: y<-3

Step-by-step explanation:

1) 3y<-9 divide both sides of the inequality by 3

2) 3y÷3< -9÷3

3)any expression divided by itself equals 1

y<-9÷3

4) calculate the quotient y<-3

-15xsquared+7x+2 is the answer

Answer:

x = 25°

Step-by-step explanation:

The angles are equal and opposite. This means that if the top angle is 150°, then the angle at the bottom must be 150° too. However, it is currently 2x° + 100°, which turns it into an equation. So far we have 100° as a known angle, so we subtract that from 150° to get the value of 2x.

2x° = 50

Now we divide 50 by 2, and that gives us 25°.

x = 25°

- Educationist

Answer:

Step-by-step explanation:

C.(-1,-1)

Answer:

8 & 45

Step-by-step explanation:

This is done regarding BODMAS.

Fisrt 2(2)^2 - 3(2)(-3) -2(-3)^2

8 + 18 - 18

8.

Second 2(-3)^2 - 4(-3) + 6

27 + 12 + 6

45.

Answer:

2(2)^2  -  3(2 x -3)  -2(-3)^2

  8        -    3(-6)     -   2(9)

   8       -    -18       -      18

         26     -  18

                 8

Step-by-step explanation: