i need help with this question please

Option A is correct, the two triangles are similar because corresponding sides are in proportion and  angles are congruent .

The two triangles are ABC and DEF.

ABC and DEF are similar triangles.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

The corresponding sides are in proportional.

Let us compare the corresponding side and angle.

AB=EF, BC=FD, AC=ED and

angle C is equal to angle D.

Hence, the two triangles are similar because corresponding sides are in proportion and  angles are congruent .

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Answer:

The answer would be 6y - 10x

Step-by-step explanation:

It was pretty easy!!!!!

Answer:

The answer would be 6y - 10x

Step-by-step explanation:

Answer:

5/12

Step-by-step explanation:

So, first you do 2/12 - 1/2. Answer will be 5/12

Hope this helps you. :)

The correct value for b in the function f(x)=2(b)^x -3 given the points (1,3) and (0,-1) are located on the graph is 3.

Function is a type of relation, or rule, that maps one input to specific single output.

A graph contains data of which input maps to which output. Analysis of this leads to the relations which were used to make it. For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.

WE need to find the value for b in the function \(f(x)=2(b)^x -3.\)

We have been given the points (1,3) and (0,-1) are located on the graph.

If these point lies on the given function then they must satisfy the function also.

Therefore,

\(f(x)=2(b)^x -3\\\\3 =2(b)^1 -3\\\\3 =2b -3\\\\2b = 3 + 3\\\\2b = 6\\\\b = 6/2 \\\\b = 3\)

Hence, the correct value for b in the function f(x) given the points (1,3) and (0,-1) are located on the graph is 3.

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Answer:

b) 25x² - 1

Step-by-step explanation:

→ (5x + 1)(5x - 1)

→ 25x² + 5x - 5x - 1

→ 25x² - 1

Thus, option (b) is the answer.

Answer:

\(\frac{5}{3}\) or 1.7 as a decimal (1.6 repeating)

Step-by-step explanation:

Answer:

d) 0.383

Step-by-step explanation:

For each sample, there are only two possible outcomes. Either they contain the pollutant, or they do not. The probability of a sample containing the pollutant is independent of any other sample. Thus, the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

30% chance of containing a particular organic pollutant.

This means that \(p = 0.3\)

Next 10 samples

This means that \(n = 10\)

Probability that two or less contain the pollutant.

This is:

\(P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)\). So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{10,0}.(0.3)^{0}.(0.7)^{10} = 0.028\)

\(P(X = 1) = C_{10,1}.(0.3)^{1}.(0.7)^{9} = 0.121\)

\(P(X = 2) = C_{10,2}.(0.3)^{2}.(0.7)^{8} = 0.233\)

\(P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.028 + 0.121 + 0.233 = 0.382\)

A little rounding difference, but the correct answer is given by option d.

Answer:

? = 77°

Step-by-step explanation:

the 3 angles in a triangle sum to 180° , that is

? + 35° + 68° = 180°

? + 103° = 180° ( subtract 103° from both sides )

? = 77°

Answer:77

Step-by-step explanation:

180-103=77

Answer:

Where's the picture?

The estimated answer for 212 divided by 18 is 12.

Estimation means approximating a quantity to the required accuracy.

This is obtained by rounding off the numbers involved in the calculation and getting a quick and rough answer. It is used to find a value that is close enough to the right answer.

Estimation in math is done by rounding off the numbers to their closest whole value to get a quick and simple rough answer. It saves time and effort.

Dividing 212 by 18

= 212/18

= 11.77777

Estimated to be 12

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Answer:

1.78 min

Step-by-step explanation:

so first you have to figure out the fastest runner

pepe 12 miles in 4.5 minutes

and paula ran 34 miles in 7.5 minutes

if you divide miles by minutes you get how many miles they ran in one minute

12/4.5=~2.67

34/7.5=~4.53

So you can see that paula is faster

if she ran ~4.5 miles in a minute then it would take her ~1.78 minutes to run 8 miles

they're both super humans though like woah

The coordinates of point E are found as (1/3, 8/3).

The given coordinates of the point are-

D(-2,-5) = (x₁, y₁)

F(5,3) = (x₂, y₂)

The section formula for point is given as;

E(x, y) =>

x =(mx₂ + nx₁)/(m + n)

y = (my₂ + ny₁)/(m + n)

The ratio is given as;  DF: FE = 4:2

Thus, m = 4 and n = 2

Put the given values and find the coordinates of point E

x =(mx₂ + nx₁)/(m + n)

x = (4×5 + 2×(-2))/(4 + 2)

x = 16/6

x = 8/3

y = (my₂ + ny₁)/(m + n)

y = (4×3 + 2×(-5))/(4 + 2)

y = 2/6

y = 1/3

Thus, the coordinates of the point E are (8/3, 1/3).

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The correct question is-

Point Flies on segment DE. The coordinates of point D are (-2,-5). The coordinates of point F are (5,3). If DF: FE= 4:2, what are the

coordinates of point E?

(3,5)

O (9,2)

0 (2)

O (1/3, 8/3)

Answer:(8.5,7)

Step-by-step

Answer:100,000

Step-by-step explanation:

The entire area is under the standard normal distribution curve, which is 1 by definition.

In other words, a typical normal random variable has a 100% chance of landing anywhere within its range of potential values (-∞ to +∞).

This makes sense since the area under the standard normal distribution curve, which is a continuous probability distribution, shows the likelihood that the random variable will take on any value within its range. Since the entire area under the curve is 1, the likelihood that any potential value for the random variable will occur is 1, or 100%.

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Answer:

WR ≈ 13.862

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

WR² + RT² = WT²

WR² + 12.1² = 18.4²

WR² + 146.41 = 338.56 ( subtract 146.41 from both sides )

WR² = 192.15 ( take the square root of both sides )

WR = \(\sqrt{192.15}\) ≈ 13.862 ( to the nearest thousandth )

Answer:

131072

Step-by-step explanation:

Answer: The answer is 131072.

Step-by-step explanation:

Using a calculator, we find that \(2^{17}=\boxed{131072}.\)

Answer:

154.44

Step-by-step explanation:

What is 13% of 396?

Y is 13% of 396

Equation: Y = P% * X

Solving our equation for Y

Y = P% * X

Y = 13% * 396

Converting percent to decimal:

p = 13%/100 = 0.13

Y = 0.13 * 396  

Y = 51.48

Now multiply by 3 (amount of continuous years)

51.48 * 3

=154.44

Hope it helps!

Answer:

the second and 3rd one

Step-by-step explanation:

Answer:

A. 20 B. 25

Step-by-step explanation:

A. Perimeter equals the all the side lengths added together, so 5+5+5+5=20

B. Area equals (for a square) two side lengths multiplied by one another, so 5x5=25

Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

Answer:

\(67\frac{23}{28}\)

Step-by-step explanation:

\(36-\left[100\div \:560-32\left(8\div \:4-1\right)\right]\\\\100\div \:560-32\left(8\div \:4-1\right)\\\\=100\div \:560-32\cdot \:1\\\\=\frac{100}{560}-32\cdot \:1\\\\=\frac{100}{560}-32\\\\=-\frac{891}{28}\\\\\\=36-\left(-\frac{891}{28}\right)\\\\36-\left(-\frac{891}{28}\right)\\\\=36+\frac{891}{28}\\\\\frac{36\cdot \:28}{28}+\frac{891}{28}\\\\\frac{36\cdot \:28+891}{28}\\\\=\frac{1899}{28}\\\\\\\frac{1899}{28}(1899\div28)=67\frac{23}{28}\)

Answer:

0.875

Step-by-step explanation:

Answer:

7/8

Step-by-step explanation:

1/8 = 1/8

3/4 = 6/8

1/8 + 6/8 = 7/8

The answer should be 7/8.

Answer:11.50

Step-by-step explanation:

Answer:

8<2x

Step-by-step explanation:

Answer:

8<2x

Step-by-step explanation:

I hope this helped! :D

Answer:

73.5%

Step-by-step explanation:

\( { \rm{ \frac{36}{49} \times 100\% }} \\ \\ = { \rm{73.5\%}}\)

A scale is a term that refers to the representative fraction for comparing the original length and image length of a given object. It means implies that every 1 unit on the drawing is equal to 100 units on the park.

A scale is a term that can be referred to as the representative fraction that compares the original length and image length of a given object. Types of scale include enlarged scale, reduced scale, and real scale.

Scale can be expressed as;

Scale = \(\frac{length on drawing}{original length}\)

Thus a scale has no unit.

Therefore, the given question implies that every 1 unit on the drawing is equal to 100 units on the original park. Thus it is a reduced scale.

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Answer:

d) y = - |x+4| - 1

Step-by-step explanation:

Answer:

first you add then you subtract

Step-by-step explanation:

Answer:

The answer is (B) - (7+4 i) + (7 minus 4 i) = 14

Step-by-step explanation: