Which statement is true?


A. 5x and 5 are like terms.

B. 5 and x are like terms.

C. 5x and x are like terms.

D. 5x and 5y are like terms.

By the SSS Congruence Theorem, △ABC ≅ △DEF.

What does a math congruent mean?

Congruent refers to having precisely the same form and size. Even after the forms have been flipped, turned, or rotated, the shape and size ought to remain constant.

What is the SSS rule?

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle.

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Answer:

Find 0% of 60: 0

Find 100% of 60: 60

Find 50% of 60: 30  

Find 25% of 60: 15

Find 75% of 60: 45

Step-by-step explanation:

Answer:

hhahahahahahahahahaha

Answer:mean means to average. in order to average, add all the numbers then divide by how many numbers you have.

All these ages add up to 150. because there are 7 ages, divide by 7. this is 21.4 which can be rounded to about 21

46 + 48 + 21 + 12 + 15 + 8 = 150

150 ÷ 7= 21.4285 = 21

Step-by-step explanation:

Answer: 15 i think

Step-by-step explanation:

Answer:

as their is no labeling so it's hard to answer

55+55=110

180-110=70

vertical angles

so x=70

Answer:

B and D

Step-by-step explanation:

x² - 25 = 0

Add 25 to both sides:

⇒ x² -25 + 25 = 0 + 25

⇒ x² = 25

Square root both sides:

⇒ √x² = √25

⇒ x = ±5

Therefore:

x = 5,  x = -5

So B and D are the solutions

The frequency which is to filled in the table is 1, 4, 2 and 4.

Given that;

All shopping time of ten shopkeeper:

25, 29, 25, 18, 24, 28, 36, 25, 33, 37

We have to complete the frequency in the table. Frequency of something is the number of times that number is coming.

Since, Shopping time is given as ,

25, 29, 25, 18, 24, 28, 36, 25, 33, 37

And, Intervals for which frequency is given is ,

18 to 22, 23 to 27, 28 to 32, 33 to 37.

Hence, WE get;

Numbers in the range 18 to 22 = 18  therefore 1

Numbers in the range 23 to 27 = 25, 25, 24, 25 therefore 4

Numbers in the range 28 to 32 = 29, 28  therefore 2

Numbers in the range 33 to 37 = 36, 33, 37,  therefore 3

Hence, the frequency which is to filled are 1, 4, 2 and 4.

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Answer:

cvdgcbhxnjkmz,

Step-by-step explanation:

The probability that the mean amount of cereal in 5 randomly selected boxes is at most 9.65 ounces is 0.4808.

The Central limit theorem is used to find the probability

Data given:

sample size = 5.

mean, μ = 9.70 ounces

standard deviation, σ = 0.03 ounce.

To calculate the probability, we determine the z-score corresponding to the sample mean of 9.65 ounces using the z-score formula.

x is the sample mean,

μ is the population mean,

σ is the population standard deviation, and

n is the sample size.

For the sample mean of 9.65 ounces in 5 boxes:

z = (9.65 - 9.70) / (0.03 / √5)

z ≈ -0.05 / (0.03 / √5)

Using a calculator, we find that the probability is approximately 0.4801.

Therefore, the probability that the mean amount of cereal in 5 randomly selected boxes is less than 9.65 ounces is approximately 0.4801.

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The cube root of -2i,

⇒ ∛2[ cos(π/6) + i sin(π/6) ]

We can represent -2i in polar form as,

r(cosθ + i sinθ)

by computing its magnitude and angle.

The magnitude of -2i is 2

Since the absolute value of any imaginary number is equal to its magnitude.

To find the angle θ,

We can use the fact that the tangent of an angle is equal to the ratio of the opposite side to the adjacent side.

In this case,

The opposite side is -2 and the adjacent side is 0.

Therefore, we have tanθ = -2/0, which is undefined.

However,

We can use the fact that the cube root of a complex number is equal to the cube root of its magnitude times exp(iθ/3) to find the cube root of -2i.

So, the cube root of -2i is equal to the cube root of 2 times exp(iθ/3).

Now, we need to find the value of θ/3. Since θ is undefined,

we will represent it as π/2 + 2πn,

where n is any integer.

So, θ/3 = (π/2 + 2πn)/3 = π/6 + 2πn/3.

Therefore, the cube root of -2i is equal to

⇒  ∛2 [ cos(π/6 + 2πn/3) + i sin(π/6 + 2πn/3) ]

Now put n = 0

⇒ ∛2[ cos(π/6) + i sin(π/6) ]

This is the final form of the cube root of -2i in the required form.

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Answer: This is the answer. please give me the brainliest. Thanks

In linear equation, 2800  did she invest in both if her return.

What is the most effective way to explain linear equations?

An x-y linear relationship, or two variables in which the value of one of them (often y) relies on the value of the other one, is what is known as a linear equation in two variables (usually x).

                           In this scenario, y is referred to as the dependent variable because it depends on the independent variable, x.

assuming that the two investments are  X & Y

X + Y = 6300

X = 6300 - Y                                       (1)

9/100X + 4/100 Y = 427                       (2)

replacing X from (1) into (2)

9/100(6300-Y) + 5/100 Y = 427

567 - 9/100Y + 5/100Y = 427

(-9+5)/100Y = 427 - 567

4/100Y = - 140

Y = 100* 140/4 = 3500

From (1) we can get X

X = 6300 - 3500 = 2800

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Value of the given functions f(x) = 2x -1 and g(x) = x² +1 for the composite functions is given by:

f(g(x)) = 2x² + 1

(gof)(x) = 2 (2x² -2x +1)

As given in the question,

Given functions are :

f(x) = 2x -1 and g(x) = x² +1

Value of the required composite functions are as follow:

Substitute the value of required function in the composite function we have:

f(g(x))

= f(x² +1)

= 2(x² +1) -1

= 2x² +2 -1

= 2x² +1

(gof)(x)

=g(f(x))

= g(2x -1)

= (2x - 1)² +1

= 4x² -4x +1+1

= 4x² -4x +2

= 2(2x² -2x +1)

Therefore, value of the given functions f(x) = 2x -1 and g(x) = x² +1 for the composite functions is given by:

f(g(x)) = 2x² + 1

(gof)(x) = 2 (2x² -2x +1)

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To find the distance between Basti and Cian, we can use the law of sines in triangle ABC. The law of sines states that the ratio of the length of a side to the sine of the opposite angle is constant for all sides and their corresponding angles in a triangle.

Let's label the distance between Basti and Cian as "x". We know that the measure of angle ABC is 50 degrees and the measure of angle BAC is 60 degrees. We also know that Ali is exactly 150 ft away from Basti.

Using the law of sines, we can set up the following equation:

sin(50°) / 150 = sin(60°) / x

To solve for "x", we can rearrange the equation:

x = (150 * sin(60°)) / sin(50°)

Using a calculator, we can evaluate the expression:

x ≈ (150 * 0.866) / 0.766

x ≈ 168.4 ft

Therefore, the distance between Basti and Cian is approximately 168.4 ft.

The length of EB is approximately 14.6 units when rounded to the nearest tenth.

To find the length of EB, we can use the property of similar triangles in this diagram. By looking at triangle DFE and triangle CFB, we can see that they are similar triangles.

Using the similarity ratio, we can set up the proportion:

DF / CF = DE / EB

Plugging in the given values, we have:

13.1 / 10.9 = 17.5 / EB

To find EB, we can cross-multiply and solve for EB:

13.1 * EB = 10.9 * 17.5

EB = (10.9 * 17.5) / 13.1

EB ≈ 14.6

Therefore, the length of EB is approximately 14.6 units when rounded to the nearest tenth.

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Answer:

90

Step-by-step explanation:

Answer:

It seems like the chat transitioned to a different topic. However, based on the search results, it appears that the query was related to solving distance problems using linear equations. One common application of linear equations is in distance problems, where you can create and solve linear equations to find the distance between two points or the rate of travel. Here's an example problem:

Joe drove from city A to city B, which are 120 miles apart. He drove part of the distance at 60 miles per hour (mph) and the rest at 40 mph. If the entire trip took three hours, how many miles did he drive at each speed?

To solve this problem, you can use a system of two linear equations. Let x be the number of miles driven at 60 mph, and y be the number of miles driven at 40 mph. Then you have:

x + y = 120 (total distance is 120 miles) x/60 + y/40 = 3 (total time is 3 hours)

To solve for x and y, you can multiply the second equation by 120 to eliminate fractions and then use the first equation to solve for one of the variables. For example:

x/60 + 3y/120 = 3 x/60 + y/40 = 3 2x/120 + 3y/120 = 3 x/60 + y/40 = 3 x/60 = 3 - y/40 x = 180 - 3y/2 (from the first equation)

Substitute the expression for x into the second equation and solve for y:

x/60 + y/40 = 3 (180 - 3y/2)/60 + y/40 = 3 3 - 3y/160 + y/40 = 3 3 - 3y/160 = 2.75 -3y/160 = -0.25 y = 20

Substitute y = 20 into the expression for x to get:

x = 180 - 3y/2 x = 120

Therefore, Joe drove 120 - 20 = 100 miles at 60 mph and 20 miles at 40 mph.

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

LH and KL are the same

The experimental probability of the next balloon sold being green is 4/15.

Probability is a crucial concept in the field of mathematics that is used to measure the likelihood of an event happening.

According to the information given, the number of green balloons sold is 20, and the total number of balloons sold is the sum of all the colors, which is:

20 + 17 + 12 + 19 + 7 = 75

Now we can use these numbers to calculate the experimental probability of a green balloon being sold:

Experimental probability of a green balloon being sold = Number of green balloons sold / Total number of balloons sold

Experimental probability of a green balloon being sold = 20 / 75

Experimental probability of a green balloon being sold = 4/15

This means that if we randomly select a balloon from the store, the likelihood of it being green is 4 out of 15 or approximately 0.27 or 27%.

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Answer:

4/15

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

If you sub in all the values, you get [1+5][2(-1)-1]. Now combine like terms. 1+5 is 6 and 2*-1-1=-3. 6*-3=-18 so the answer is A.

The amount of property tax collected under the old rates is $8,100,000 and the new rates will generate an additional $3,450,000 in tax revenue.

To calculate the amount of property tax collected under the old rates, we first need to find the assessed value of the property:

Assessed value = Total market value x Assessment rate

Assessed value = $600,000,000 x 0.45

Assessed value = $270,000,000

Next, we can calculate the property tax using the tax rate:

Property tax = Assessed value x Tax rate

Property tax = $270,000,000 x 0.03

Property tax = $8,100,000

b. To calculate the additional tax revenue collected under the new rates, we can follow the same process as above with the new assessment rate and tax rate:

New assessed value = $600,000,000 x 0.55 = $330,000,000

New property tax = $330,000,000 x 0.035 = $11,550,000

The additional tax revenue collected under the new rates is:

$11,550,000 - $8,100,000 = $3,450,000

Therefore, the new rates will generate an additional $3,450,000 in tax revenue.

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Answer:

C. -sin(r)

Step-by-step explanation:

I did the test on edge

The expression which is equivalent to cos (π/2 + r) for all values of r is -sin r.

In the cartesian system, a plane is divided into four regions by a horizontal line called X-axis and a vertical line called Y-axis. These four regions are known as quadrants.

Here, given expression;

        cos (π/2 + r)

We know that,

Angle (π/2 + r) lies in second quadrant

In second quadrant, only sin and cosec will be positive, rest all will be negative.

Now,

cos (π/2 + r) = - sin r

Thus, the expression which is equivalent to cos (π/2 + r) for all values of r is -sin r.

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Answer:no idea

Step-by-step explanation:

Step-by-step explanation:

14 < 6×?

6×3=18

therefore anything above 3 multiplied by 6 would be greater in value than 14

Answer:

Explanation:

The data for the males is on the left side. The base of the chart represent percentages. On the base, each interval is 2%. The age group of 15 to 19 is just a step to the left of 12. Thus, an approximate value for the percentage of the male made up by the age group 15-19 is

12.2 %​

Answer:

it would be  6 (5 + 7) = 30 + 42 = 72

Step-by-step explanation:

hope this helps if not please let me know

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{(0. \: 5, \: 0.5 \: )}}}}}\)

Step-by-step explanation:

Given,

A ( -2 , 4 )⇒ ( x₁ , y₁ )

C ( 3 , - 3 )⇒ ( x₂ , y₂ )

Finding the midpoint between A and C

\( \boxed{ \sf{midpoint = ( \frac{x1 + x2}{2} \: , \: \frac{y1 + y2}{2} )}}\)

\( \dashrightarrow{ \sf{( \frac{ - 2 + 3}{2} \: , \: \frac{4 + ( - 3)}{2} )}}\)

\( \dashrightarrow{ \sf{( \frac{1}{2} \:, \: \frac{4 - 3}{2} )}}\)

\( \dashrightarrow{ \sf{( \frac{1}{2} \: , \: \frac{1}{2} }})\)

\( \dashrightarrow{( \sf{0.5 \: , \: 0.5) \: }}\)

Hope I helped!

Best regards! :D