Identify the smallest of the similar triangles. Then find x

✧ [tex] \underline{ \underline{ \pink{\large{ \tt{E \: X \: P \: L\: A \: N \: A \: T \: I \: O \: N}}}}}: [/tex]

Part 1 :

☃ [tex] \underline{ \large{ \sf{Vertical \: Line \: Test}}} : [/tex] ⇾ All the relations are not functions. We can determine ( identify ) whether a relation is function or not by drawing a vertical line intersecting the graph of the relation. This is called the vertical line test.

( See the attached picture )

Part 2 :

☂ The set of all the images of the elements of domain under the function ' f ' is called the range of a function. In other words , the set of second components of a function is called range. We are given the function :

The above numbers [ in bold ] are the range of given function. Now, If we arrange these numbers in ascending order, we get ( -9 , -3 , 0 , 5 , 7 ).

Hence , Choice B [ {y | y = –9, –3, 0, 5, 7} ] is correct.

♕ Hope I helped! ♡

☄ Have a wonderful day / night ! ☼

✎ [tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex] ☥

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Sample Response:

The vertical line test is a way to determine if a relation is a function. This test determines if one input has exactly one output on the graph. If any vertical line passes through more than one point on the graph, then the relation is not a function because two different outputs have the same input.

Answer:

2 km east and 10 km north

Step-by-step explanation:

I did the activity and got the right answer.

By evaluating the inequalities, we will see that the correct option is: 2 km east and 10 km north

Here we have the inequalities:

(x - 20)^2 + (y - 14)^2 ≤ 625

(x + 8)^2 + (y - 3)^2 ≤ 196

Where, x is the distance due east, and y is the distance due north.

So we just need to find which of the given options makes both inequalities true, for example, for the first one we have:

x = -4

y = -12

Replacing that on the first inequality we get:

(-4 - 20)^2 + (-12 - 14)^2 ≤ 625

1,252 ≤ 625

This is false, so this option is not correct.

Now we just need to check the other options. Particularly for the third we have:

x = 2

y = 10

Replacing that in both inequalities we get:

(2 - 20)^2 + (10 - 14)^2 ≤ 625

340 ≤ 625 (true).

(2 + 8)^2 + (10 - 3)^2 ≤ 196

149 ≤ 196 (true)

So at 2km east and 10km north of Columbia, the two earthquakes can be felt.

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

https://brainly.com/question/18881247

Answer:

a=4bc

a=4(4)(-3)=-48

a= - 48 when b equals to 3 is equals to - 8

The required answer by direct variation a is equal to 96. In other words, when b = 4 and c = -3, the value of a is 96.

When a variable varies jointly as two other variables, it means that the relationship between the variables can be expressed using direct variation. In this case, we have that "a varies jointly as b and c."

To find the value of a when b = 4 and c = -3, we can set up the proportion based on the direct variation relationship:

a/bc = k

where k is the constant of variation.

Substituting the given values:

a/(4)(-3) = k

Simplifying, we have:

a/-12 = k

Now, we can find the value of a when b = 4 and c = -3 by substituting these values into the equation and solving for a:

a/(-12) = k

a/(-12) = -96/-12 (since k = -96 when b = 3 and c = -8)

a = 96

Therefore, the required answer by direct variation a is equal to 96. In other words, when b = 4 and c = -3, the value of a is 96.

Learn more about direct variation here:

https://brainly.com/question/29150507

#SPJ2

Answer:

C or D

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

yan po ang answer thank you na lang po

Answer:

4

Step-by-step explanation:

and sure

Answer:

4

Step-by-step explanation:

Answer:

N (3×4) or (N×3) 4

Step-by-step explanation:

Answer:

-11 :)

Step-by-step explanation:

Answer: 0

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Uh, I'm guessing what is being asked here is to solve, so, time to distribute.

(6 - 2.5)(8 + 4)

48 + 24 - 20 - 10

42

Step-by-step explanation:

That 'd be the square root of 300, which is equivalent to 10sqrt(3).

Answer:

0.637 m or 63.7 cm

Step-by-step explanation:

Formula

d = n *  pi di

Givens

di = diameter and is unknown

n = 29 times

d = 58 meters

Solution

58 = 29 * 3.14 * di

2 = 3.14 * di

2/3.14 = di

d = 0.637 meters

or

d = 63.7 cm

Answer:

15.)  104 ... I hope angles are not drawn to scale

16.)  144

17.)  37

Step-by-step explanation:

15.)

3x + 10 = 4x -12

22 = x

so 3x +10 = 76

180 - 76 = t = 104

16.)

2(21) + 36 + 90 + bcd + a = 360

a = 90 - 21 = 69

360 - (2(21) + 36 + 90 + 69) = bcd

bcd = 360 - 237 = 123

angle acd = 21 + bcd = 21 + 123 = 144

17.)

(5x - 7) + 90 + (3x + 1) = 180

8x -6 = 90

8x = 96

x = 12

so 5x - 7 = 53

90 - 53 = angle lmn = 37

Answer:

9/20 square miles

Step-by-step explanation:

9/10× 1/2= 9/20 square miles

Answer:

(a) The proportion is 61.23%

(b) It is more than the historical 57%

Step-by-step explanation:

This question has missing details, and they are:

[tex]n = 926[/tex] ---- The Sample Adults

[tex]x = 567[/tex] -- Those that believe global warming was real

Solving (a): The proportion of those that believe.

This is calculated as:

[tex]p = \frac{x}{n}[/tex]

Substitute values for x and n

[tex]p = \frac{567}{926}[/tex]

[tex]p = 0.6123[/tex]

Express as percentage

[tex]p = 0.6123 * 100\%[/tex]

[tex]p = 61.23\%[/tex]

Solving (b) More or less than 57%

By comparison:

[tex]61.2\% > 57\%[/tex]

Hence, it is more than the historical 57%

Use the binomial theorem:

[tex]\displaystyle (2x-9)^5 = \sum_{k=0}^5 \binom5k (2x)^{5-k}(-9)^k = \sum_{k=0}^5 \frac{5!}{k!(5-k)!} 2^5 \left(-\frac92\right)^k x^{5-k}[/tex]

The x ³ terms occurs for 5 - k = 3, or k = 2, and its coefficient would be

[tex]\dfrac{5!}{2!(5-2)!} 2^5 \left(-\dfrac92\right)^2 = \boxed{6480}[/tex]

Answer:

65

Step-by-step explanation:

using the ratio we can find the side lengths of the other triangle.

since it is 2:5

6:x=2:5

so x = 15(first side)

8:x=2:5

so x = 20(second side)

12:x=2:5

x=30(third side)

so then we add them up

15+20+30

65

hope this was helpful

Answer:

Step-by-step explanation:

19/4 + 29/5

2.75 + 5.8

= 8.55

Answer:

Pls add the image

Step-by-step explanation:

Answer:

10m+10

Step-by-step explanation:

5x2=10

5x2m=10m

10m+10

Answer:

11,15,7

Step-by-step explanation:

11+15+7=33 33/3=11 the mean

then 15-7=8 the range

Answer:

2 real solutions

Step-by-step explanation:

The formula for determining the discriminant is b² - 4ac.

So, let's identify our variables.

a = 1

b = 3

c = 2

Now, we can plug in our values.

3² - 4(1)(2)

9 - 8

1

1 is the discriminant of this function, and since 1 is positive, this indicates that there are two distinct real number solutions.

Answer:

Two figures are similar if the figures have the same shape but different sizes.

Then if we have two figures X and X'

Such that one dimension of X is D, the correspondent dimension on X' will be:

D' = k*D

Such that k is the scale factor that relates the figures.

1:k

Because all the dimensions will be rescaled by the same scale factor k, we can conclude that any surface on X will be related to the same surface in X' by:

S' = k^2*S

then the ratio of the surfaces is:

1:k^2

While the relation between the volumes will be:

V' = k^3*V

Here the ratio is:

1:k^3

Ok, in this case we have two cylinders

We know that the ratio between the base area ( a surface) is:

9:25

a) We want to find the ratio: curved surface area of A : curved surface area of B

Because again we have a surface area, the ratio should be exactly the same as before, 9:25

b) height of A : height of B

In this case, we have a single dimension.

Because in the rescaling of a surface we need to use k^2, then we can conclude that the ratios:

9:25

is related to k^2

Then the ratio, in this case, is given by applying the square root to both sides of the previous ratio, so we get:

√9:√25

3:5

This is the ratio of the heights.

Also from this we could get the value of k, that is the right value when we leave the left value equal to 1, we can get that if we divide both sides by 3.

(3/3):(5/3)

1:(5/3)

Then:

k = 5/3

Answer:

3

Step-by-step explanation:

3 appears the most (twice)

The rest of the numbers only appear once

Answer:

96

Step-by-step explanation:

Its a pattern :) BTW can you help with mine please

Answer:

Step-by-step explanation:

When you are taking off percentages from numbers, you first want to make the percent a number. This step is super simple. Just divide the 18 by 100

This gets you 0.18

Now multiply

84 * 0.18 = 15.12

So 15.12 is the discount

Then take 84 and subtract 15.12

84 - 15.12 = 68.88

So 68.88 is the sell price