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3 years ago

I don't understand any of this

Mathematics

1 answer:

EastWind [94]3 years ago

5 0

Those are opposite angles and opposite angles are equal to one another.

so we can say that 62 = 2 + 3x and solve x from there.

60 = 3x
x = 20

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I need help ASAP 10 Points!!!

swat32

Purple color figure is similar to the original figure.

Solution:

Property of similar polygon:

Similar polygons have same shape, corresponding angles are congruent and the corresponding sides are in the same ratio.

(1) Compare original figure with green color figure:

Angles of the original figure:

37°, 53° and 90°.

Angles of the green color figure:

67°, 23° and 90°

These two angles of the triangles not congruent angles.

Hence these shapes are not similar.

(2) Compare original figure with yellow color figure:

Angles of the original figure:

37°, 53° and 90°.

Angles of the yellow color figure:

67°, 23° and 90°

These two angles of the triangles are not congruent angles.

Hence these shapes are not similar.

(3) Compare original figure with purple color figure:

Angles of the original figure:

37°, 53° and 90°

Angles of the purple color figure:

37°, 53° and 90°

These two triangles have same shape and congruent angles.

Ratio of the sides:

$$\frac{3}{6}=\frac{1}{2} , \ \frac{4}{8}=\frac{1}{2} , \ \frac{5}{10}=\frac{1}{2}$

These two triangles have same ratio.

Hence these shapes are similar.

Hence purple color figure is similar to the original figure.

4 0

3 years ago

Solve the following system using the SUBSTITUTION method. x - 3y = 2 2x - 6y = 6

notka56 [123]

ANSWER:

x – 3y = 2 ...(1)
2x – 6y = 6 ...(2)

On solving eq(1), we get

x – 2 = 3y
x – 2/3 = y

Plug the value of x in eq(2)

2x – 6(x - 2/3) = 6
2x – 2(x – 2) = 6
2x – 2x + 4 = 6
0 = 6 – 4
0 ≠ 2

So, given system of equations is not correct.

6 0

3 years ago

Read 2 more answers

What is 12.5% of 150

Anit [1.1K]

One hack is recognizing that
x% of 100 is x
150 is 1.5 times of 100 so
x% of 150=1.5x
therfor
12.5% of 150=1.5*12.5=18.75

anyway

percent means parts out of 100
12.5%=12.5/100=0.125

'of' means multiply
12.5% of 125=0.125*150=18.75

the answer is 18.75

6 0

4 years ago

Read 2 more answers

CAN SOMEONE HELP ME WITH THIS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

leva [86]

Answer:

g(x) = 1: 0

g(-2) = -3

Explanation:

Just by looking at the graph, at the origin, x is 0 and g(x) is 1. Now, look at where x is -2. Below that, you see where g(-2) is because -2 REPLACED x.

I am joyous to assist you anytime.

**Subscribe to my You-Tube channel [USERNAME: MATHEMATICS WIZARD] for more assistance whenever you need it.

7 0

3 years ago

The probability that a randomly selected teenager watched a rented video at least once during a week was 0.75. What is the proba

Whitepunk [10]

Answer:

There is a 75.65% probability that at least 5 teenagers in a group of 7 watched a rented movie at least once last week.

Step-by-step explanation:

For each teenager, there are only two possible outcomes. Either they watched a rented video at least once during a week, or they did not. This means that we can solve this problem using the binomial probability distribution.

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 combinatios 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.

In this problem we have that:

The probability that a randomly selected teenager watched a rented video at least once during a week was 0.75. This means that $p = 0.75$ .

What is the probability that at least 5 teenagers in a group of 7 watched a rented movie at least once last week?

Group of 7, so $n = 7$ .

$P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7)$ .

In which

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

$P(X = 5) = C_{7,5}.(0.75)^{5}.(0.25)^{2} = 0.3115$

$P(X = 6) = C_{7,6}.(0.75)^{6}.(0.25)^{1} = 0.3115$

$P(X = 7) = C_{7,7}.(0.75)^{7}.(0.25)^{0} = 0.1335$

$P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7) = 0.3115 + 0.3115 + 0.1335 = 0.7565$ .

There is a 75.65% probability that at least 5 teenagers in a group of 7 watched a rented movie at least once last week.

3 0

3 years ago