Are the triangle below similar

Answer:

Step-by-step explanation:

1

(x+3)+(x-1)+(x+1) = 90°

3x + 3 = 90°

3x = 90 - 3

3x = 87

x = 87/3

x = 29°

2

x + (x+104) = 180°

2x + 104 = 180°

2x = 180 - 104

2x = 76

x = 76/2

x = 38°

Answer: D: (-∞, ∞)

               R: (-∞, ∞)

Step-by-step explanation:

Since the end points are arrows and have no set stopping point we can assume the answer is all real numbers, also known as infinity

Answer:

Steps in the picture

Hope it helps

Answer:

2,826

Step-by-step explanation:

A tenth is the first place value after the decimal point

In this case, 2,826.00

To round a number to the tenths place, we look at the hundredths place

If the number is 5 or more, we add 1 to the tenths place, and leave the numbers to the right 0's

If the number is 4 or less, we keep the number as it is in the tenths place, and leave the numbers to the right 0's

In this case, the hundredths place is a 0, which is less than 4, so we keep the 0 in the tenths place, and leave the to the right 0's.

Thus, our final answer is 2,826.

Answer: Sarah got 60 questions correct, 15 questions wrong, and she got 20% of the questions wrong.

Step-by-step explanation:

First, let's solve for how many questions Sarah got correct.

80% as a fraction can be simplified as [tex]\frac{8}{10}[/tex]. To find how many questions Sarah answered correctly, we can set up a proprtional relationship as follows:

[tex]\frac{8}{10}=\frac{?}{75}[/tex]

Next, after we cross multiply, 8 X 75 = 600, and 600 ÷ 10 = 60

So, Sarah got 60 out of 75 questions correct.

To find how many she missed, we can simply subtract 60 from 75 to get 15.

So, Sarah got 15 out of 75 questions wrong.

Finally, to find the percentage of the questions that Sarah got wrong, we can use the 15 out of 75 incorrect questions that we found earlier to create a percentage.

15 ÷ 75 = 0.2

0.2 X 100 = 20

So, Sarah got 20% of the questions wrong.

Answer:

Step-by-step explanation:

Relative speed can play a major role in creating distance between two bodies. If the relative speed between two bodies is 0, then both the bodies are moving in the same direction with a similar speed. Thus, After 4 minutes, 1680 feet farther will Skateboarder B have traveled.

Skateboarder A travels at a steady rate of 15 feet per second.

Skateboarder B travels at a steady rate of 22 feet per second.

We need to determine that after 4 minutes, how much farther will Skateboarder B have traveled.

The formula for finding the distance travelled by anybody is represented below

Time is given that is 4 minutes which means 240 seconds.

Thus,

Distance travelled by skateboarder A

Distance travelled by skateboarder B.

Therefore, the separation of the distance between both the skateboarders is 5280 - 3600 = 1680.

Thus, After 4 minutes, 1680 feet farther will Skateboarder B have traveled.

Answer:

The answer is 1485.875.

Step-by-step explanation:

[tex]\large{\tt{\underline{\underline{\pink{SOLUTION:}}}}}[/tex]

To solve the above equation we will follow the BODMAS rule.

It stands for :

Solving this question by bodmas rule :

[tex]\begin{gathered}\quad{\sf{ = 41 \times 28 - 36 \div 32 + 17 \times 21 - 18}}\\\\\quad{\sf{ = 41 \times 28 - \dfrac{36}{32} + 17 \times 21 - 18}}\\\\\quad{\sf{ = 41 \times 28 - 1.125+ 17 \times 21 - 18}}\\\\\quad{\sf{ = 1148 - 1.125+ 357 - 18}}\\\\\quad{\sf{ = (1148+ 357) - (1.125 + 18)}}\\\\\quad{\sf{ = (1505) - (19.125)}}\\\\\quad{\sf{ = 1505- 19.125}}\\\\\quad{\sf{ = 1485.875}}\end{gathered}[/tex]

Hence, the answer is 1485.875.

[tex]\rule{300}{2.5}[/tex]

Explanation:

Here's one way:

At vertex A, draw the vertical angle to the given angle 4. That is, extend AC, rather than AB to show the exterior angle at that vertex.

Now, collapse triangle to one with zero area, so that vertices A, B, C lie on top of each other. You can do this using a dilation scale factor f such that f→0.

The result is that the exterior angles divide the circular space around point ABC into three parts that sum to 360°. Essentially, we have copied each of the exterior angles to the same vertex.

The sum of the measures of the exterior angles is 360°.

_____

Additional comment

This identical approach can be used to show the sum of exterior angles around any convex polygon is always 360°.

[tex]\\ \sf\longmapsto f(x)=x^2+5x[/tex]

[tex]\\ \sf\longmapsto f(-2)=(-2)^2+5(-2)[/tex]

[tex]\\ \sf\longmapsto f(-2)=4-10[/tex]

[tex]\\ \sf\longmapsto f(-2)=-6[/tex]

.#2

[tex]\\ \sf\longmapsto g(x)=2x+1[/tex]

[tex]\\ \sf\longmapsto g(a)=2a+1[/tex]

[tex]\\ \sf\longmapsto g(a+h)=2(a+h)+1[/tex]

.Now

[tex]\\ \sf\longmapsto g(a+h)-g(a)[/tex]

[tex]\\ \sf\longmapsto 2(a+h)+1-2a-1[/tex]

[tex]\\ \sf\longmapsto 2a+2h+1-2a-1[/tex]

[tex]\\ \sf\longmapsto 2h[/tex]

Answer:

The equivalent expressions are;

1. 8 (y - 7) = 8y - 56

2. - 2 (x + 7) = - 2x - 14

3. 3/5x + 2/5 + 3/5x = (6x + 2) / 5

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expressions are;

1. 8 (y - 7)

2. - 2 (x + 7)

3. 3/5x + 2/5 + 3/5x

Now,

Solve all the expression as;

1. 8 (y - 7) = 8 × y - 8 × 7

              = 8y - 56

Thus,  8 (y - 7) = 8y - 56

2. - 2 (x + 7) = - 2 × x - 2 × 7

                  = - 2x - 14

Thus, - 2 (x + 7) = - 2x - 14

3. 3/5x + 2/5 + 3/5x = 3/5x + 3/5x + 2/5

                              = (3x + 3x)/ 5 + 2/5

                              = 6x / 5 + 2/ 5

                              = (6x + 2) / 5

Thus, 3/5x + 2/5 + 3/5x = (6x + 2) / 5

Therefore, The equivalent expressions are;

1. 8 (y - 7) = 8y - 56

2. - 2 (x + 7) = - 2x - 14

3. 3/5x + 2/5 + 3/5x = (6x + 2) / 5

Learn more about the expression visit:

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Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

-1, 0, 1

Step-by-step explanation:

Intengers are whole numbers. those 3 numbers are the only intengers between -2 and 2

The difference between the two perimeters is 32 yards.

Maria's garden measures 14 feet by 16 feet and has a perimeter of 60 feet.

Musharraf's garden measures 10 yards by 4 yards. The perimeter will be:

= 2(10 + 4)

= 2 × 14

= 28 yards

The difference will be:

= 60 - 28

= 32 yards.

Based on the provisions of the 17th Amendment, we can see that the provisions of the United States Constitution gave the people the right to vote for their senators who would represent their interests instead of the state legislature.

With this in mind, we can see that if the seat of a senator is unoccupied, then the governor of the state can make his appointment of a senator.

Based on the given data on the party balance of the US Senators, it is still not enough reason to repeal the 17th Amendment because giving the people the right to choose their representatives is still the core value of democracy which should never be tampered with.

Read more about the 17th Amendment here:

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Answer:

$5026

Step-by-step explanation:

if you divide 70 by 15 you get 4.66666667

then multiply 4.6666667 by 1077 and you get 5026

Answer:

A. Consistent and dependent

Answer:

D. Consistent and independent

Step-by-step explanation:

A. Consistent and dependent = two lines that overlap with each other so they have infinite solutions (ex. y = 4x and 4y = 16x equal the same thing)

B. Inconsistent = parallel lines that will NEVER meet each other, so no solution (y = 4x and y = 4x + 1 have the same slope so the steepness of the two lines is the same - they will NEVER have at least 1 point intersecting)

C. Not enough information - incorrect because there are two lines on a graph, and that is enough info to solve

D. Consistent and independent = two lines with EXACTLY ONE SOLUTION (ex. y = 4x + 3 and y = 2x + 2 have exactly one point that overlaps)

Answer:

The weather forecast says that there is a "30% chance of rain," and we think we understand what it means. This quantitative statement is assumed to be unambiguous and to convey more information than does a qualitative statement like "It might rain tomorrow." Because the forecast is expressed as a single-event probability, however, it does not specify the class of events it refers to. Therefore, even numerical probabilities can be interpreted by members of the public in multiple, mutually contradictory ways. To find out whether the same statement about rain probability evokes various interpretations, we randomly surveyed pedestrians in five metropolises located in countries that have had different degrees of exposure to probabilistic forecasts--Amsterdam, Athens, Berlin, Milan, and New York. They were asked what a "30% chance of rain tomorrow" means both in a multiple-choice and a free-response format. Only in New York did a majority of them supply the standard meteorological interpretation, namely, that when the weather conditions are like today, in 3 out of 10 cases there will be (at least a trace of) rain the next day. In each of the European cities, this alternative was judged as the least appropriate. The preferred interpretation in Europe was that it will rain tomorrow "30% of the time," followed by "in 30% of the area." To improve risk communication with the public, experts need to specify the reference class, that is, the class of events to which a single-event probability refers.

Answer:

[tex]0\leq x<\infty[/tex]

Step-by-step explanation:

The function [tex]y=\sqrt{x}[/tex] is not defined for negative numbers in the domain as they produce non-real results. Therefore, all positive numbers including 0 are included in the domain, so the domain of the function would be [tex]0\leq x<\infty[/tex].

I've attached a diagram to help you visualize the domain.

Answer:

-a + 7b

Step-by-step explanation:

This problem is asking you to simplify the equation.

In order to do this, we will combine like terms (like terms are terms that share the same variable and/or exponent).

So we will combine 3a and -4a to get -1a or just -a, and now we'll combine 5b and 2b to get 7b.

So all together we have -a + 7b.

Hope this helps you :)

[tex]\\ \sf\Rrightarrow 3a+5b-4a+2b[/tex]

[tex]\\ \sf\Rrightarrow 3a-4a+5b+2b[/tex]

[tex]\\ \sf\Rrightarrow (3-4)a+(5+2)b[/tex]

[tex]\\ \sf\Rrightarrow -a+7b[/tex]

[tex]\\ \sf\Rrightarrow 7b-a[/tex]

2 (5 - 8x) - 13 = 9 (1 - x) - 12

10 - 16x - 13 = 9 - 9x - 12

10 - 13 - 16x = 9 - 12 - 9x

- 3 - 16x = - 3 - 9x

- 3 + 3 = - 9x + 16x

0 = 7x

0/7 = x

0 = x

_____

Hope it helps ⚜

Answer:

Step-by-step explanation:

Conclusion:

Therefore, the answer is 'x = 0'

!! Hoped this helped !!

[tex]BrainiacUser1357[/tex]

Answer:

  60

Step-by-step explanation:

We can use 5·7 = 35 as a common denominator for these fractions. This tells us the fraction of red chairs is 2/5 = 14/35, and the fraction of blue chairs is 3/7 = 15/35. The rest of the (35 -14 -15)/35 = 6/35 chairs are yellow. This means the ratio of chair colors is ...

  red : blue : yellow = 14 : 15 : 6

Multiplying this by 4 will give 24 yellow chairs:

  4·14 : 4·15 : 4·6 = 56 : 60 : 24 . . . . red : blue : yellow chairs.

60 chairs are blue.

Answer:

Answer: 2.5

Step-by-step explanation:

It seems as if everything is divided by two so 5/2 is 2.5

Answer:

the answer is C

Step-by-step explanation:

40,000/.80 = 50,000

50,000 x .10 = 5,000

50,000 - 5,000 = 45,000

45,000 x .06 =2700

45,000 + 2,700 = 47,700

[tex]f(x) = 5x+5\\\\f(-1) = 5(-1) +5 = -5+5=0[/tex]

Answer:

y = 3/4 + 7

Step-by-step explanation:

you must put the equation into the form of y = mx + b

add 6x to both sides and put it in front of the 56

8y = 6x + 56

y must be by itself by x does not so we divide everything by 8

y = 6/8x + 7

we must simplify the fraction 6/8

y = 3/4x + 7

Answer:

B

Step-by-step explanation:

So we are at C:

We need to find the dilation:

First we add 4 to x (meaning we move the point C 4 points to the right)

Then we need to subtract 10 to y (meaning we move the point C 10 points downwards)

This will give you your point:

Which is B

Hope this helps!

If c = 7, then

12 - 2c

= 12 - 2(7)

= 12 - 14

= -2

c - 5

= (7) - 5

= 2

=》+2 > -2.

So, c - 5 has greater value than 12 - 2c, if c = 7.

______

Hope it helps ⚜

Answer:

10.23% to the nearest hundredth.

Step-by-step explanation:

This is a Binomial Probability Distribution.

If exactly 25 are left handed then exactly 5 are right handed.

So (probability that exactly 25 are left handed)

= 30C5*(0.1)^5(0.9)^25

= 0.1023047706

= 10.23%.

The probability that exactly 25 students out of 30 are left-handed, assuming the researchers' claim is true, is approximately 0.2031, or about 20.31%.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

This problem involves the binomial probability distribution, where we have a fixed number of trials (30 students in this case), and each trial has two possible outcomes (left-handed or not left-handed).

The probability of success (a student being left-handed) is 0.9, based on the researchers' claim.

The probability of a failure (a student not being left-handed) is 1 - 0.9 = 0.1.

We want to find the probability that exactly 25 students out of 30 are left-handed.

This can be calculated using the binomial probability formula:

[tex]P(X = k) = ^nC_ kp^k (1 - p)^{n-k}[/tex]

where:

n = 30 (the number of trials)

k = 25 (the number of successes we want)

p = 0.9 (the probability of success in each trial)

Plugging in the values, we get:

[tex]P(X = 25) = ^{30}C_ {25}~ 0.9^{25} ~0.1^5[/tex]

Using a calculator or statistical software, we can find that:

P(X = 25) ≈ 0.2031

Therefore,

The probability that exactly 25 students out of 30 are left-handed, assuming the researchers' claim is true, is approximately 0.2031, or about 20.31%.

Learn more about probability here:

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