III
Finding a missing side length given two similar triangles
AABC and APQR are similar. Find the missing side length.
B
AA
30
48
5
8.
А
36
СР
?
R

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Explanation:

Transformation V reflects over the line y = 0, which is the x axis. All points on the x axis have a y coordinate of zero. Examples are (1,0) and (2,0).

To reflect over the x axis, we flip the sign of the y coordinate. The x coordinate stays the same. Example: The point (1,5) moves to (1,-5).

In general the rule is [tex](x,y) \to (x,-y)[/tex]

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Transformation W rotates the point 90 degrees clockwise around the origin (0,0). The rotation rule is [tex](x,y) \to (y,-x)[/tex].

For example, the point (1,7) rotates to (7,-1) when doing a 90 degree clockwise rotation around the origin. We move from the northeast quadrant to the southeast quadrant.

As you can see, we swap the x and y coordinates. Then we do a sign flip on the new y coordinate.

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

Transformation X combines the two previous transformations. We do V first then W next. The order is important (see the next section as to why).

We're given the point (g,h) where we don't know g nor h.

The x axis reflection rule has us get to (g, -h) because we simply flip the y coordinate from positive to negative, or vice versa.

Then applying transformation W has us get to (-h, -g) as the final answer.

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

As stated earllier, the order of the transformations is important. Let's say we did W first and then V next.

The point (h,g) is different from (-h, -g) showing that the order does affect where the final point ends up.

However, some transformations can be composited together without worrying about the order. An example could be having a translation followed by another different translation.

Answer:

28.26 ft²

Explanation:

[tex]\sf area \ of \ circle = \pi r^2[/tex]

Here given diameter: 6 ft

radius: d/2 = 6/2 = 3 ft

========

area of rug:

[tex]\dashrightarrow \ \pi (3)^2[/tex]

[tex]\dashrightarrow \ 9\pi[/tex]

[tex]\dashrightarrow \ 9(3.14)[/tex]

[tex]\dashrightarrow \ 28.26 \ ft^2[/tex]

Answer:

[tex]\underline{\underline{28.26 \ \text{feet}^{2}}}[/tex]

Step-by-step explanation:

Step-1) Determine the radius of the rug:

Given diameter: 6 feet

Substitute the diameter to obtain the radius of the rug.

Step-2) Find the area of the rug by substituting the radius in the formula:

Area of circular rug  = πr²

                                  = [tex]\pi (3)^{2}[/tex]

                                  = [tex]\pi (3)(3)[/tex]

                                  = [tex]\pi(9)[/tex]

Substituting π as 3.14 (Stated in comments):

                                  = [tex](3.14)9[/tex]

                                  = [tex]\underline{\underline{28.26 \ \text{feet}^{2}}}[/tex]

No this is not correct identity

Hence it's wrong

Answer:

Below!

Step-by-step explanation:

Let's simplify each side to determine if both sides are equal.

Left hand side of the equation:

This expression can be simplified using the rule (x + y)² = x² + 2(x)(y) + y².

When opening the parenthesis, we get;

This expression cannot be simplified further as there are no like terms in the expression obtained.

Right hand side of the equation:

This expression cannot be simplified further as there are no like terms in the expression obtained.

Given equation:

This can be rewritten as;

Therefore, it is impossible for a² + b² to be equivalent to a² + 2ab + b².

Answer:

70.

Step-by-step explanation:

1) to calculate the values of the 'x':

4x+15=x²-13x+85; ⇔ x²-17x+70=0; ⇔

x₁=7; x₂=10;

2) to calculate the required k:

k=x₁*x₂; k=7*10=70.

Answer:

Either 74° and 32°

or 53° and 53°

Step-by-step explanation:

An isosceles triangle has at least two congruent angles.

There are two possibilities in this problem.

1)

The 74° angle is one of the two congruent angles.

Then, one other angle measures also 74°.

The third angle measures 180° - 74° - 74° = 32°

2)

The 74° is not one of the two congruent angles.

Then the other two angles are congruent.

180° - 74° = 106°

The sum of the measures of the two congruent angles is 106°, so each of the two congruent angles measures 53°.

Answer:

Either 74° and 32°

or 53° and 53°

Answer:

71 cents

Step-by-step explanation:

Answer:

64.5 in²

Explanation:

[tex]\sf area \ of \ trapezoid = \dfrac{1}{2} * ( a + b) *h[/tex]

Solve for the entire trapezoid:

[tex]\hookrightarrow \sf \dfrac{1}{2} * ( 6.5 +(9.8+5.2+6.5) ) *8.6[/tex]

[tex]\hookrightarrow \sf 120.4 \ in^2[/tex]

Solve for the unshaded rectangle:

Area of the shaded region:

Answer:

7

Step-by-step explanation:

Accurate information

Answer: 36

Step-by-step explanation:

The cube root function is negative on the interval (-∞, 5), so the correct option is b.

Here we have the cube root function:

g(x) = ∛(x - 5)

This is a cube root, and it is negative when the argument is negative. So the function will be negative for the values of x such that:

x - 5 < 0

x < 5

So, we can say that on the interval: (-∞, 5) the function g(x) is negative. Then the correct option is b.

If you want to learn more about functions, you can read:

https://brainly.com/question/15602982

Answer:

The answer is b. 4*3 2/5.

Step-by-step explanation:

It states 4 times the amount Ruby mixed. Ruby mixed it 3 2/5 solution. So you would right out 4 x 3 2/5.

Answer:

135

Step-by-step explanation:

Use formula b(h) which is 9x15 and get 135

Answer:

9 feet

Step-by-step explanation:

v = lwh (volume equals length times width times height)

75.6 = 4 x 2.1 x d

multiply l and w, which is 4 x 2.1

75.6 = 8.4 x d

divide 75.6 by 8.4

9 = d

Answer:

The value of j is 9feet

Step-by-step explanation:

[tex] \hookrightarrow \sf \: v = whl[/tex]

⇒[tex] \sf {75.6 = (2.1)(4)(j) }[/tex]

⇒[tex] \sf {75.6=(2.1)(4)j}[/tex]

Step 1: Simplify both sides of the equation.

⇒[tex] \sf {75.6=8.4j}[/tex]

Step 2: Flip the equation.

⇒[tex] \sf {8.4j=75.6}[/tex]

Step 3: Divide both sides by 8.4.

⇒[tex] \sf { \frac{8.4j}{8.4} = \frac{75.6}{8.4}}[/tex]

⇒[tex] \sf {j=9}[/tex]

Answer:

5.80^3‎‎‎‎‎‎‎‎‎‎‎‎‎‎

Given -

i.e, length = 2cm, breadth = 4cm and height = 6cm

i.e, side = 2cm

To find -

Concept -

To find the number of cubes Mavis can fit into the rectangular box we are supposed to divide the volume of rectangular box by the volume of the cube. But before doing that we should know the formulas to find the volume of both the 3D shapes. i.e,

Volume of Rectangular Box = l × b × h

Volume cube = a³

where,

Solution -

[tex]\bf{Number\:of\: cubes=\frac{Volume\:of\: Rectangular\:Box}{Volume\:of\:cube}}[/tex]

[tex]\rightarrow\sf{Number\:of\: cubes=\frac{l\times b\times h}{a\times a\times a}}[/tex]

[tex]\rightarrow\sf{Number\:of\: cubes=\frac{2\times 4\times 6}{2\times 2\times 2}}[/tex]

[tex]\rightarrow\sf{Number\:of\: cubes=\frac{\cancel{2}\times \cancel{4}^2\times \cancel{6}^3}{\cancel{2}\times \cancel{2}\times \cancel{2}}}[/tex]

[tex]\rightarrow\sf{Number\:of\: cubes=2\times3}[/tex]

[tex]\rightarrow\mathbf{Number\:of\: cubes=6\:boxes}[/tex]

Hence, the number of cubes that can be fit into the rectangular box is 6 cubes.

Answer:

May I see a picture can't really understand the question clearly but seeing a picture could help. Thanks.

Answer:

Y = 40

Step-by-step explanation:

First, find the slope-intercept of the table

Slope-intercept form: y = mx + b

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

(3, 1) and (6,2)

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{2-1}{6-3}\\\\m=\frac{1}{3}[/tex]

[tex]y=mx+b[/tex]

[tex]y=\frac{1}{3}x+b[/tex]

Find b using (6,2):

[tex]y=\frac{1}{3}x+b\\\\2=\frac{1}{3}(6)+b\\\\2=\frac{6}{3}+b\\\\2=2+b\\\\-2\ -2\\\\0=b[/tex]

[tex]y=\frac{1}{3}x+b== > y=\frac{1}{3}x+0== > y=\frac{1}{3}x[/tex]

[tex]y=\frac{1}{3}x[/tex]

What will be the value of Y when X = 120?

Substitute 120 for x into [tex]y=\frac{1}{3}x[/tex]

[tex]y=\frac{1}{3}x\\\\y=\frac{1}{3}(120)\\\\y=\frac{120}{3}\\\\y=40[/tex]

(120, 40)

Therefore, when X = 120, Y = 40

Hope this helps!

Answer:

The answer is 86000

Step-by-step explanation:

This is because if she gets 4000 each yhear then that 4000 times 6 which is 24000. then you add that to the 62000 she initially got and you get youre answer, 86000.

Answer:

37

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Lets put the values in now :)

35^2 + 12^2 = c^2

1225 + 144 = c^2

1369 = c^2

Now we need to find the square root!

[tex]\sqrt{1369}[/tex] = 37

Have a great day!!

Please rate and mark brainliest!!

Hey Buddy !

For the following right triangle , find the side length x .

We have to find the value of x .

The concept of this question belongs to Pythagoras theorem . We have to find the value of x by using Pythagoras Theorem .

According to Pythagoras Theorem , in a right angle triangle the sum of square of perpendicular and base is equal to square of hypotenuse .

[tex] \longmapsto \: \pink{ \boxed{{H {}^{2} = P {}^{2} + B {}^{2} }}}[/tex]

Where ,

Substituting the values in formula :

[tex] \blue{ \boxed{ \sf{Therefore , \: value \: of \: x \: is \: 37 }}}[/tex]

∠4 and ∠1 are opposite angles, and since opposite angles are equal, ∠4 =  2x - 8

(if u need a specific number)

∠1 is corresponding to ∠5, and since corresponding angles are equal, ∠5 = 2x-8

∠7 is supplementary to ∠5, and since supplementary angles add up to 180, x + 14 + 2x - 8 = 180

-> 3x + 6 = 180
x = (180-6)/3 = 58.

Since ∠4 = 2x - 8 -> ∠4 = 2 x 58 - 8 = 108.

The little square means a right angle which is equal to 90 degrees.

X + 30 = 90

X = 60 degrees

Answer: 15

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

a proportional relationship when graphed always is a straight line that goes through the origin (0,0)

The graph shown, shows a straight line but the line doesn't go through the origin therefore the graph does not show a proportional relationship.

Note that the origin is where the x and y axis cross , or the bottom right corner of the graph in this case

Answer:

sine

.....................

Answer:

6 could fit in the 18 pound box cause if you multiply 6 by 3 you get 18 and the wieght be 18

Step-by-step explanation:

The correct answer is: (3x + 1)(3x - 1)(x + 4)

Answer:

pi/4

Step-by-step explanation:

diameter of the circle is 2
area of circle = pi * r^2
A = pi * 1^2
A = 1pi
1/4th of the area so
pi/4

Answer:

c
4.2 would mean a 420% chance of something happening which doesnt make sense

The number 4.2 cannot represent the probability of an event because it is greater than one.

It is a branch of mathematics that deals with the occurrence of a random event.

The probability of an event must be less than or equal to one.

So 0.888 can represent the probability of an event because it is a non-negative number that is less than or equal to one.

0, cannot represent the probability of an event because it is a non-negative number but it is not less than or equal to one. This number represents an impossible event.

4.2, cannot represent the probability of an event because is greater than one which means it represents an event that is certain to occur, which is not a probability.

0.39, can represent the probability of an event because it is a non-negative number that is less than or equal to one.

Therefore, the number 4.2 cannot represent the probability of an event because it is greater than one.

To learn more on probability click:

https://brainly.com/question/11234923

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