|a+b|=|a|+|b| true or false​

x = 5

z = 118°

Step-by-step explanation:

opposite angles are equal

(6x + 32)° = 62°

6x = 62° - 32°

6x = 30°

x = 5°

angles on a straight line add up to 180

180° = 62° + z

z = 180° - 62°

z = 118°

Answer:

a is ( 4,8) B is ( 6,5) and c is ( 2.3)

Step-by-step explanation:

Based on the perimeter of the triangle, and the dimensions of the sides, the length of the longest side is 17 units

The length of a triangle is found by adding up all the three sides of the triangle.

Perimeter = Length A + Length B + Length C

We are given the perimeter as 31:

31 = 3x + (x - 2) + (2x + 9)

3x + x - 2 + 2x + 9 = 31

3x + x + 2x - 2 + 9 = 31

6x + 7 = 31

6x = 31 - 7

x = 24 / 6

x = 4

The length of the longest side is:

= 2x + 9

= 2(4) + 9

= 17 units

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Step-by-step explanation:

8x-5=9+7x

8x-7x=9+5

x=14

Answer:

8x-5 = 9+7x

8x-7x =9+5

x = 14

The scale factor k is  k = 3/6 = 1/2 or k = -1/2. But since the dilation takes place with respect to the center of dilation (2, -1), which is inside the smaller triangle, the scale factor should be positive. Hence the scale factor is 1/2. The correct option is 12.

Let the smaller triangle be the preimage and the larger triangle be the image. The center of dilation is (2, −1).

The coordinates of the vertices of the preimage and the image are shown below.

Preimage:(0,0), (3,0), (0,4)

Image:(2, −1), (8, −1), (2, 11)

Let the scale factor be 'k'.

Using the distance formula, the lengths of the sides of the triangles can be calculated as:

Preimage:AB

= 3, BC

= 4, AC

= 5

Image:AB

= 6k, BC

= 8k, AC

= 10k

Since the smaller triangle is dilated to the larger triangle, the scale factor k is greater than 1.

Also, the center of dilation is (2, −1), which means that the dilation takes place with respect to the line x= 2.

Therefore, the distance of the vertices of the smaller triangle from the line x = 2 should be multiplied by the scale factor k to obtain the corresponding vertices of the larger triangle.

Thus, 2 is equidistant from the vertices of the smaller triangle.

Therefore, the horizontal distance of the corresponding vertices of the larger triangle from the line

x = 2 is 2k.

That is, 2k

= 8 − 2

= 6k

= 3 .

The scale factor k is, therefore, k

= 3/6

= 1/2 or k

= -1/2.

But since the dilation takes place with respect to the center of dilation (2, -1), which is inside the smaller triangle, the scale factor should be positive.

Hence the scale factor is 1/2.

The correct option is 12.

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Answer:

y=-4x-3

Step-by-step explanation:

Points to use: -2, 5 and 0, -3

Difference in y pos: 5- (-3) = 8.

Difference in x pos: -2-0 = -2.

Rise/Run = 8/(-2) = -4.

Also we need to find the y intercept.

It is -3.

So y=-4x-3

Answer:

x = 1

Step-by-step explanation:

3(- 4x + 2) = 6 - 4(4 - x)

-12x + 6 = 6 - 16 + 4x

-12x + 6 = -10 + 4x

-12x = -16 + 4x

-16x = -16

x = 1

Answer:

20%

Step-by-step explanation:

The answer is x = 8,0

hope this helps!

Answer:

x = 0 and 8

Step-by-step explanation:

|x – 4| = 4    <-- separate it into 2 equations since it's an absolute value and there would be 2 answers (one number as positive and one number as negative)

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

x – 4 = 4    <-- postive

   + 4 = + 4

      x = 8

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

x – 4 = - 4     <-- negative

   + 4 = + 4

      x = 0

Answer:

45 * 100 / 330 = amount in 100 ml of solution

13.6363636364  grams

Step-by-step explanation:

The three relations given all represent functions because each has exactly one y-value that corresponds to each x-value.

A relation can be defined as a function if the x-values (input/domain element) each has exactly one y-value (output value/range element) that is related to or it corresponds to.

A function can have two x-values that have the same y-value but cannot have two y-values that corresponds to one x-value.

In the first relation showing a graph, each x-value on the graph has exactly one y-value it corresponds to. Therefore, it is a function.

In the second relation that is represented by the set of ordered pairs, every x-value also have only one y-value it is related to. Therefore, it represents a function.

The third function given shows a table of values of a relation that has exactly only one y-value that is assigned or related to each x-value. This also is a relation that represents a function.

Therefore, all three relations represent functions.

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Answer:

a. po yung answer

follow me

Answer:

Depends if the bird is going up or down, if going up, then they are 36 (you said don't say units so i won't say it) in going up and 4 if going down! :D

Step-by-step explanation:

The rectangular sidewalk for Liam to build the pathway, \(36\) stones are required.

The rectangular shape in two dimensions has four aspects, four corners, & four sharp angles (90°). Equal and equal opposing sides make form a rectangle. As a two-dimensional form, the rectangles comprises length and breadth just like its 2 components.

Because a square is indeed a parallelogram with all specific corners at right angles, every square is also a rectangle. To be a square, a rectangle's sides must all have the same length, hence not all rectangles are squares.

Area of the walkway \(=length * width\)

\(24*6=144\) square feet

Area of each stone \(= length of each side * width of each side\)

\(=2ft*2ft=4\) square feet

Number of stones needed \(=\frac{Area of walkway }{Area of each stone}\)

Number of stones needed \(=\frac{144}{4}=36\) stones

Therefore, Liam will need \(36\) stones to make the walkway.

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Answer:

125 inches^3

Step-by-step explanation:

To solve for cubes it is L^3 or Length Cubed. Whcih is simply L×L×L where L is Length.

Explanation

Given the function

We can find the value of p when f(-2 )=10 below;

Therefore, we will have;

Answer: p = -3

Answer:

22

Step-by-step explanation:

First, we need to find 1/8 of 176, which is basically 176/8 = 22.

22 = 1/8

154 = 7/8

So 154 customers left satisfied and 22 unsatisfied.

Hope this helps!

Answer:

Let width = w

length = 4w/3

Area = 432 = length*width = w*4w/3

4w^2/3 = 432

w^2 = 432*3/4 = 324

w = 18

so the width of the cake pan is 18 inches.

The width of the rectangular pan is 18 inches and this can be determined by using the formula of the area of the rectangle.

Given :

A rectangular pan has a length that is 4/3 the width.

The total area of the pan is 432 square inches.

The following steps can be used in order to determine the width of the cake pan:

Step 1 - The formula of the area of the rectangle can be used in order to determine the width of the cake pan.

Step 2 - The area of a rectangle is given below:

\(\rm A = LW\)

where L is the length and W is the width of the rectangle.

Step 3 - According to the given data, the length is 4/3 the width.

Step 4 - Substitute the values of the known terms in the above expression.

\(\rm 432 = w\times \dfrac{4w}{3}\)

Step 5 - Simplify the above expression.

\(\rm 432 = \dfrac{4w^2}{3}\)

\(\rm w^2 = 324\)

w = 18 inches

Therefore, the correct option is C).

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The probability that he has exactly 4 hits in his next 7 at bats is 0.12  .

In the question ,

it is given that

the batting average of the baseball player is = 0.315

so the probability of hitting the ball (p) = 0.315

and the probability of not hitting the ball (q) = 1 - 0.315 = 0.685

we have to find the probability of exactly 4 hits in his next 7 at bats

which means the number of trials (n) = 7

number of hits (x) = 4

Substituting the values of p , q, n , x  in the Binomial Probability ,

we get

P(x) = ⁿCₓ*(p)ˣ*(q)ⁿ⁻ˣ

P(x=4) = ⁷C₄ * (0.315)⁴ * (0.685)³

= 35 * (0.315)⁴ * (0.685)³

= 35 * 0.00984 * 0.32141

= 0.1106936

≈ 0.12

Therefore , The probability that he has exactly 4 hits in his next 7 at bats is 0.12  .

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Answer:

Answer:

SSS

Step-by-step explanation:

If all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle it is known was SSS congruence

Answer:

12 x 600 divided by 6 plus 47 - 10 X 20+ 1,469= 2,516

Step-by-step explanation:

Answer:

2,516

Step-by-step explanation:

Im sorry the person that answered Frist was right. I had it worng

The probability of event A1 is 0.07. The conditional probability of event B1 given A3 is 0.5. The probability of both event A2 and B1 occurring is 0.14.

To determine the probability of event A1, we need to find the ratio of the frequency of A1 to the total frequency of all events. From the table, we see that the frequency of A1 is 5 and the total frequency is 73. Therefore, P(A1) = 5/73 ≈ 0.07.

To calculate the conditional probability of event B1 given A3, we need to consider the frequency of both B1 and A3 occurring together. From the table, we see that the frequency of B1 and A3 occurring together is 15. The frequency of A3 alone is 25. Therefore, P(B1 | A3) = 15/25 = 0.6.

To find the probability of both event A2 and B1 occurring, we need to determine the frequency of A2 and B1 occurring together and divide it by the total frequency. From the table, we see that the frequency of A2 and B1 occurring together is 23. The total frequency is 73. Therefore, P(A2 and B1) = 23/73 ≈ 0.14.

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A D. simple random sample is a sample in which every member of the population has an equal chance of being chosen.

A. Systematic: In a systematic sample, the population is first ordered or arranged in some systematic way, such as by alphabetical order or numerical sequence. Then, a starting point is randomly selected, and subsequent members are chosen at regular intervals from the ordered list. This method ensures that every member of the population has an equal chance of being selected.

B. Probability: The term "probability sample" is a general concept that encompasses various sampling methods. It refers to any sample in which each member of the population has a known nonzero probability of being selected. Probability sampling methods include simple random sampling, stratified sampling, cluster sampling, and systematic sampling.

C. Stratified: In stratified sampling, the population is divided into distinct subgroups or strata based on specific characteristics or attributes. Then, a random sample is taken from each stratum in proportion to its representation in the overall population. This method ensures that the sample is representative of the population across different subgroups or strata.

D. Simple random: A simple random sample is a sampling method where each member of the population has an equal and independent chance of being selected. It involves selecting individuals randomly and without any specific pattern or grouping. This method ensures that each member of the population has an equal probability of being chosen, leading to unbiased estimates and generalizability to the larger population.

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Answer:

A. definition of perpendicular bisector

Step-by-step explanation:

Answer:

The answer to your problem is, \(\frac{16}{35}\)

Step-by-step explanation:

= \(\frac{2}{5} / \frac{8}{7}\)

= \(\frac{2*8}{5*7}\)

= \(\frac{16}{35}\)

Thus the answer to your problem is, \(\frac{16}{35}\)

Hope this is as simple you can get.

Answer:

Look at the desmos graph below

Step-by-step explanation:

Answer:

this is about a 45 degree angle

Step-by-step explanation: