g(x)=x+2 graph the parent function

Similar triangles may or may not be congruent.

Question 1 to 6:

Triangles XYZ and NPQ are similar triangles.

This means that:

Angles Z and Q, lines YZ and PQ, angles P and Y, angles X and N, lines NQ and XZ, lines PN and YX are corresponding sides and angles

Question 7 to 12:

Triangles LMN and CBA are similar triangles.

This means that:

[tex]\mathbf{7z+6 = 5y}[/tex]

[tex]\mathbf{2y-12 = z + 12}[/tex]

Collect like terms

[tex]\mathbf{2y= z + 12+12}[/tex]

[tex]\mathbf{2y= z + 24}[/tex]

Make z the subject

[tex]\mathbf{z = 2y -24}[/tex]

Substitute [tex]\mathbf{z = 2y -24}[/tex] in [tex]\mathbf{7z+6 = 5y}[/tex]

[tex]\mathbf{7(2y -24) + 6 = 5y}[/tex]

[tex]\mathbf{14y -168 + 6 = 5y}[/tex]

[tex]\mathbf{14y -162 = 5y}[/tex]

Collect like terms

[tex]\mathbf{14y -5y = 162}[/tex]

[tex]\mathbf{9y = 162}[/tex]

Divide both sides by 9

[tex]\mathbf{y = 18}[/tex]

Recall that: [tex]\mathbf{z = 2y -24}[/tex]

[tex]\mathbf{z = 2 \times 18 - 24}[/tex]

[tex]\mathbf{z = 12}[/tex]

[tex]\mathbf{L = 60}[/tex]

[tex]\mathbf{LN = 2y - 12}[/tex]

[tex]\mathbf{LN = 2 \times 18 - 12}[/tex]

[tex]\mathbf{LN = 24}[/tex]

[tex]\mathbf{C = L}[/tex]

[tex]\mathbf{C = 60}[/tex]

[tex]\mathbf{AC = LN}[/tex]

[tex]\mathbf{AC = 24}[/tex]

Question 13:

The congruent parts are: KL and RQ,  KJ and RS, QS and LJ

Read more about congruent and similar triangles at:

https://brainly.com/question/19589236

Answer:

Step-by-step explanation:

A

Answer:

I don't like Football...

Step-by-step explanation:

Answer: My fav is the New York Giants

Step-by-step explanation:

Answer:

$49.12

Step-by-step explanation:

Answer:

it is 9

Step-by-step explanation:

The value of WZ will be equal to WZ= 9 inches so the correct option is B.

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.

We have: U is the midpoint of TR, V is the midpoint of TS and W is the midpoint of SR

This means that.Z is the centroid of the given triangle centroid point divides any median in the triangle in the ratio of 2:1 from the vertex

This means that:

TZ = 2ZW

3x = 2(2x-3)

3x = 4x - 6

x = 6

Now, we get WZ as follows:

WZ = 2x - 3 and x = 6

WZ = 2(6) - 3

WZ = 12 - 3

WZ = 9 in

Therefore the value of WZ will be equal to WZ= 9 inches so the correct option is B.

The complete image of the triangle is attached with the answer below.

To know more about Trigonometry follow

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Answer:

Megan is correct because when you take 20% off, you're taking it off the 50%.

Step-by-step explanation:

Answer:

y=-6/5x-3

Step-by-step explanation:

y-3=-6/5(x+5)

y=-6/5x-3

Answer:

answer for y=2/3x+2: y=2/3x+2

answer for -2x+3y=6: x=3/2y-3

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Answer:

There are infinitely many solutions.

Step-by-step explanation:

There are infinitely many solutions because if you solve the equations, you will find that both of the equations are actually the same, so there is infinitely many solutions.

Showing that both equations are equal:  y=2/3x+2       -2x+3y=6

y=2/3x+2  Multiply by 3 on both sides

3y=2x+6 Rearrange (-2x on both sides)

3y-2x=6 More rearrangement

-2x+3y=6 Now, if you look back at the second equation, you will see that they are both the same.

Answer:

28

Step-by-step explanation:

divide 869 by the number of days in January

Answer:

a statement of the exact meaning of a word, especially in a dictionary

Answer:

2 cuts; yes, 14 in

Step-by-step explanation:

Look at it correctly and solve on paper

Answer:

Step-by-step explanation:

AA

Answer:27/2

Step-by-step explanation: The ratio stays the same. So 4/6 = 9/x. Solve that and get 27/2

Answer: 18 in.

Step-by-step explanation:

Answer:

The total mass is 4 * 10^12 grams

Step-by-step explanation:

To get the total mass of all ants,

We simply multiply the average mass of an ant by the population

That will be;

4 * 10^-3 * 10^15

= 4 * 10^12 grams

Answer: 35.4 feet.

Step-by-step explanation:

Given data:

Height of the roof = 24 feet

Height of the ladder = 26 foot

Solution:

c^2 = a^2 + b^2

a = 24

b = 26

c^2 = 24^2 + 26^2

c = √576 + 676

c = √1252

c = 35.4 feet

The foot of the ladder is 35.4 foot away from the top of the ladder.

Answer:

The distance between the base of the ladder and the building is 10 ft

Step-by-step explanation:

Here, we want to calculate the distance between the foot of the ladder and the building

To get this, we need to have a pictorial representation. Please check the attachment for this

From the pictorial representation, we can see a right angled triangle with a hypotenuse of 26 feet and the other side being 24 feet. We now need to get the third side of this triangle which represents the distance we want.

Mathematically, we can calculate the distance using Pythagoras’ theorem which states that the square of the length of the hypotenuse is equal the sum of the squares of the two other sides of the triangle.

Let the distance we are looking for be D

26^2 = 24^2 + D^2

D^2 = 26^2 - 24^2

D^2 = 100

D^2 = 10^2

D = 10 feet

Answer:

When 2 people  answers a question you should see a crown and you click  on it and  that is how you marke someone brainlest

Step-by-step explanation:

The statement that the blue radius is perpendicular to the green cord is false

From the complete question,

The blue radius does not bisect the green chord

This means that the blue radius and the green chord do not meet at 90 degrees

Since both lines do not meet at 90 degrees, then they are not perpendicular

Hence, the statement that the blue radius is perpendicular to the green cord is false

Read more about radius and chords at:

https://brainly.com/question/1869643

Answer:

Step-by-step explanation:

Eddie deposits $1090 in an account that earns 6% interest compounded annually for 3 years. What is the total interest earned after 3 years? Round to the nearest cent.

A: 196.20

B: 208.20

C: 1286.20

D: 1298.20

Answer: 40 ?

Step-by-step explanation:

Answer:

Y is equals to negative 1.

Step-by-step explanation:

y = 2x + 3

y =2(-2)+ 3

y =-4+ 3

y=-1

Answer:

A. 61.82°;

15.64°

B. 33.37°

Step-by-step explanation:

A.

✍️Angle of elevation from 15 ft:

A right triangle is formed. Apply trigonometric ratios formula to find the angle of elevation from 15 ft.

Thus,

Length of the side Opposite to reference angle = 22 + 6 = 28 ft

Adjacent length = 15 ft

Thus, we would have:

[tex] tan(\theta) = \frac{opp}{adjacent} = \frac{28}{15} [/tex]

[tex] tan(\theta) = 1.8667 [/tex]

[tex] \theta = tan^{-1}(1.8667) [/tex]

[tex] \theta = 61.82 [/tex] (2 d.p)

✍️Angle of elevation from 100 ft:

Thus,

Length of the side Opposite to reference angle = 22 + 6 = 28 ft

Adjacent length = 100 ft

Thus, we would have:

[tex] tan(\theta) = \frac{opp}{adjacent} = \frac{28}{100} [/tex]

[tex] tan(\theta) = 0.28 [/tex]

[tex] \theta = tan^{-1}(0.28) [/tex]

[tex] \theta = 15.64 [/tex] (2 d.p)

B.

✍️Distance you'd be from the screen if you lie on the ground and make an angle of elevation of 40° to the top of the screen:

Adjacent length = your distance from the screen = x

Opposite length = 22 + 6 = 28 ft

Angle of elevation = 40°

Tge trigonometric ratios formula to use would be:

[tex] tan(\theta) = \frac{opp}{adjacent} [/tex]

Plug in the values

[tex] tan(40) = \frac{28}{x} [/tex]

Multiply both sides by x

[tex] x*tan(40) = 28 [/tex]

Divide both sides by tan(40)

[tex] x = \frac{28}{tan(40)} [/tex]

[tex] x = 33.37 [/tex] (2 d.p)

Answer:

y=1/2x - 7

Step-by-step explanation:

Since the lines are parallel, this means that the slopes will be the same, only the y-intercept will change. I graphed this out to find the answer.  

Answer:

24% is the answer

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Answer:

A. 4 7/24

Step-by-step explanation:

subtract 15 - 11 which equals 4

then do 5/15 - 1/8 =7/24