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2 years ago

Please help I don’t understand it’s like angles and stuff picture above. 20 POINTS WILK MARK BRAINLEST FOR RIGHT ANSWERS ONLY

Mathematics

2 answers:

asambeis [7]2 years ago

8 0

Answer:

1. x=22

2. x=8

Step-by-step explanation:

1. Opposite exterior angles are congruent, so 6x-44=88. You would add 44 to both sides, making the equation 6x=132, and then divide both sides by 6 to get your answer of x=22.

2. Again, opposite exterior angles are congruent, so 15x+6=9x+54. You would subtract 9x from both sides, making the equation 6x+6=54, then subtract 6 from both sides, making the equation 6x=48, and then divide both sides by 6 to get your answer of x=8.

(hope this helps!)

oksano4ka [1.4K]2 years ago

5 0

Since 6x - 44 and 88 degrees are the same (exterior angles), we can start off with the first equation, 6x - 44 = 88

6x - 44 = 88

+44 +44

6x = 132

÷6 ÷6

x = 22

same with the second problem (exterior angles are equal):

equation:

15x + 6 = 9x + 54

-6 -6

15x = 9x + 48

-9x -9x

6x = 48

÷6 ÷6

x = 8

Hope this helped! :D

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Determine whether each table represents a linear, quadratic, exponential function.

Nesterboy [21]

Answer:

A: Exponential

B: Quadratic

C: Linear

Step-by-step explanation:

Let analyse each table

Table A

X Y ΔY/ΔX

1 5 xxxxxx

2 11 11 - 5 = 6

3 29 29 - 11 = 18

4 83 83 - 29 = 54

.....................

We can see that, [ ΔY/ΔX ] increases at the fastest rate out of all functions, so it must be exponential function

Table B

X Y ΔY/ΔX Δ^2Y/ΔX^2

0 5 xxxxxx xxx

1 7 7 - 5 = 2 xxx

2 13 13 - 7 = 6 6-2 = 4

3 23 23 - 13 = 10 10-6 = 4

..............................

It is a quadratic because Δ^2Y/ΔX^2 = 4 and are constant for all values

Table C

X Y ΔY/ΔX

3 20 xxxxxx

6 18 2 / 3

9 16 2 / 3

15 12 2 / 3

..............

It is a linear because ΔY/ΔX = 2/3 are constant for all values

6 0

3 years ago

At Ersatz University, the graduating class of 480 includes 96 guest students from Latvia. A sample of 10 students is selected at

grandymaker [24]

Answer:

A).3222

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they are from Latvia, or they are not. We are choosing students without replacement. However, since the sample size is large, we can use the binomial distribution to approximate the hypergeometric 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 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.

480 students, of which 96 are from Latvia:

This means that $p = \frac{96}{480} = 0.2$

Sample of 10 students:

This means that $n = 10$

Probability that the sample contains at least three Latvian students.

Either there are less than three students from Latvia, or there are at least three. The sum of the probabilities of these events is 1. So

$P(X < 3) + P(X \geq 3) = 1$

We want $P(X \geq 3) = 1 - P(X < 3)$ , in which:

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

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

$P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074$

$P(X = 1) = C_{10,1}.(0.2)^{1}.(0.8)^{9} = 0.2684$

$P(X = 2) = C_{10,2}.(0.2)^{2}.(0.8)^{8} = 0.3020$

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.1074 + 0.2648 + 0.3020 = 0.6742$

$P(X \geq 3) = 1 - P(X < 3) = 1 - 0.6742 = 0.3258$

The closest option is A.

4 0

2 years ago

How do you solve the systems by substitution y=3x+1 and y=5x-3

rewona [7]

**plug in the first equation into the y of the next.

3x + 1 = 5x - 3
-1 from both sides
3x = 5x -4
-5x from both sides
-2x = -4
divide both sides by negative 2

x= 2

4 0

3 years ago

A chemist has one solution that has 50% acid. She has another solution that is 25% acid. How many liters of the 50% acid solutio

Tatiana [17]

Answer:

Step-by-step explanation:

Let's begin by assigning letters to represent our two unknowns:

x (liters of 25% solution)

y (liters of 50% solution)

Our system of equations will consist of two equations:

Equation #1 (total volume of solution)

Equation #2 (total concentration of acid)

Our total volume of solution is 10 liters, which can be expressed as the sum of our unknowns:

Equation #1: x + y = 10

Our total concentration of acid can be expressed as the sum of the individual acid concentrations to make up the concentration of the final solution:

Equation #2: (0.25)(x) + (0.50)(y) =

(0.40)(10)

We can use Equation #1 to express one unknown in terms of the other and then plug that expression into Equation #2 to solve for one of the unknowns:

x + y = 10

y = 10 - x

Now we'll plug our expression for y in terms of x into Equation #2 and solve for x:

0.25(x) + 0.50(10 - x) = 0.40(10)

0.25x + 5 - 0.50x = 4

-0.25x = 4 - 5

-0.25x = -1

x = (-1)/(-0.25)

x = 4 (liters of 25% solution)

Now we'll plug our value for x into Equation #1 and solve for y:

4 + y = 10

y = 10 - 4

y = 6 (liters of 50% solution)

Finally, we will verify the correctness of our answers by plugging these values into Equation #2 to see if the sum of the component acid concentrations equals the final solution concentration:

0.25(4) + (0.50)(6) = 0.40(10)

1 + 3 = 4

4 = 4 (our answers are correct)

8 0

2 years ago

What is the simplified version of 3\sqrt{135}

Aleonysh [2.5K]

Answer:

The simplified version of $\sqrt[3]{135}$ is $3\sqrt[3]{5}$ .