the answers are
SSS
SAS
ASA
AAS
OR
TRIANGLES ARE NOT CONGRUENT ​

Answer:

2.6364

Step-by-step explanation:

Answer:

P(both students passed the exam) = 0.61948

Step-by-step explanation:

From the given information:

P(both students passed the exam) = P(both are science students or both are art major students or one is from each group)

= P (both are science students) + P(both are art students) + P(one from each group)

where;

P (both are science students) = (50/100) (0.9) × (44/99) × (0.9) = 0.18

P(both students are art) = (50/100) (0.7) × (49/99) 0.7 = 0.1213

P(one of the student are from each group) = (50/100) (0.9) ×(50/99) (0.7) + (50/100) (0.7)× (50/99)(0.9) =0.3182

P(both students passed the exam) = 0.18 + 0.1213 + 0.3182

P(both students passed the exam) = 0.61948

Answer:

4(x^2-x-20)=0

4(x-5)(x+4)=0

x=5,-4

Step-by-step explanation:

We know that ,

[tex] \sin( \alpha ) = \frac{opposite}{hypotenuse} [/tex]

and

[tex] \cos( \alpha ) = \frac{adjacent}{hypotenuse} [/tex]

where 'alpha' is an angle of triangle ; 'opposite' denotes the side opposite to alpha & 'adjacent' refers to the side next to the angle (but not hypotenuse)

Similarly ,

[tex] \sin(q) = \frac{opposite}{hypotenuse} = \frac{4}{5} [/tex]

Let the length of the opposite side be 4x and the length of hypotenuse be 5x. By using Pythagorean Theorem , we can find the length of base.

[tex] {base}^{2} + {(4x)}^{2} = {(5x)}^{2} [/tex]

[tex] = > {base}^{2} = 25 {x}^{2} - 16 {x}^{2} = 9 {x}^{2} [/tex]

[tex] = > base = \sqrt{9 {x}^{2} } = 3x[/tex]

Now , we have got the length of all the sides of the triangle. So,

[tex] \cos(q) = \frac{adjacent}{hypotenuse} = \frac{3x}{5x} = \frac{3}{5} [/tex]

and

[tex] \cos(p) = \frac{adjacent}{hypotenuse} = \frac{4x}{5x} = \frac{4}{5} [/tex]

So,

[tex] \cos(p) + \cos(q) = \frac{4}{5} + \frac{3}{5} = \frac{7}{5} [/tex]

Answer:

Step-by-step explanation uuf im stuck on that one sad i can't help

Answer:

[tex]y=3x+3[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\-3x+y=3\\By\ adding\ both\ the\ sides\ with\ 3x\ we\ get,\\(-3x+y)+3x=(3)+3x\\Hence,\\-3x+y+3x=3x+3\\By\ cancelling\ -3x\ and\ 3x,\\y=3x+3[/tex]

Answer:

it'll be 65

Step-by-step explanation:

65 + 72 + 98 + 85 is 320 and that divided by 4 is 80

Answer:

[tex]x = 1.5[/tex]

[tex]y =1[/tex]

Step-by-step explanation:

Given

[tex]4x + 2y = 8[/tex]

[tex]6x - 4y = 5[/tex]

Required

Solve for x and y

[tex]4x + 2y = 8[/tex] --- (1)

[tex]6x - 4y = 5[/tex] --- (2)

Divide equation (1) through by 2

[tex]\frac{1}{2}(4x + 2y) = 8*\frac{1}{2}[/tex]

[tex]2x + y = 4[/tex]

Make y the subject

[tex]y = 4 - 2x[/tex]

Substitute 4 - 2x for y in equation (2)

[tex]6x - 4y = 5[/tex]

[tex]6x - 4(4- 2x) = 5[/tex]

Open bracket

[tex]6x - 16+ 8x = 5[/tex]

Collect Like Terms

[tex]6x + 8x = 5+16[/tex]

[tex]14x = 21[/tex]

Solve for x

[tex]x = \frac{21}{14}[/tex]

[tex]x = 1.5[/tex]

Substitute 1.5 for x in [tex]y = 4 - 2x[/tex]

[tex]y = 4 - 2(1.5)[/tex]

[tex]y = 4 - 3[/tex]

[tex]y =1[/tex]

To check the solution:

Substitute the values of x and y i the equations

[tex]4x + 2y = 8[/tex]

[tex]4 * 1.5 + 2 * 1 = 8[/tex]

[tex]8 = 8[/tex]

[tex]6x - 4y = 5[/tex]

[tex]6 * 1.5 - 4 * 1 = 5[/tex]

[tex]5 = 5[/tex]

Hence, the solution is true

Answer:

i think 8

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Look at the graph, its a pattern. The number of weeks is Times 2 every time, therefore 10 *2 is 20, and the number of players are getting close

Answer:

25

Step-by-step explanation:

First, lets create a equation for our situation. Let x be the months. We know four our problem that Eliza started her savings account with $100, and each month she deposits $25 into her account. We can use that information to create a model as follows:

25x+100

We want to find the average value of that function from the 2nd month to the 10th month, so its average value in the interval [2,10].

We can conclude that the average rate of change in Eliza's account from the 2nd month to the 10th month is $25.

The work is below in a png.

Answer:Answer:

25

Step-by-step explanation:

First, lets create a equation for our situation. Let x be the months. We know four our problem that Eliza started her savings account with $100, and each month she deposits $25 into her account. We can use that information to create a model as follows:

25x+100

We want to find the average value of that function from the 2nd month to the 10th month, so its average value in the interval [2,10].

We can conclude that the average rate of change in Eliza's account from the 2nd month to the 10th month is $25.

The work is below in a png.

Step-by-step explanation:

Answer:

1 Answer. The first quadrant, Q1

Step-by-step explanation:

Answer:Bottom right aka 4

Answer:

x = 50.8°

Step-by-step explanation:

By applying cosine ratio in the given triangle PQN,

cos(x) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

          = [tex]\frac{PN}{PQ}[/tex]

cos(x) = [tex]\frac{12}{19}[/tex]

x = [tex]\text{cos}^{-1}(\frac{12}{19})[/tex]

x = 50.83°

x ≈ 50.8°

Answer:

It was simply a case of bad luck.

Step-by-step explanation:

The predictable win outcome from playing a round of a certain gambling game = 25%

If one plays 100 rounds, the predictable wins should be 25 (100 * 25%)

If the actual wins = 18, which is less than the predictable wins of 25, the actual result is less than the expected value or outcome by 7.  This is simply a case of bad luck.  Bad luck is defined as an unpredictable outcome that is unfortunate.  It is when the predicted (expected) outcomes, 25 wins, are more than the unpredicted (actual observed) outcomes, 18 wins.

Answer:

1 * 10^3

I did this here is what I believe you are looking for -_-

Answer:

8,000

Step-by-step explanation:

i think because 100000/12

Answer:

25.5 minutes

Step-by-step explanation:

8th grader here, what do you need help with?

Answer:

[tex]\boxed{4y - 3x = 50}[/tex]

.

Step-by-step explanation:

User the form below

[tex]\boxed{\boxed{y-y_1 = m(x - x_1)}}[/tex]

Where

.

So, the equation is

[tex]m = \frac{3}{4}[/tex]

[tex](-6,~8)\to x_1 = -6~~and~~y_1 = 8[/tex]

.

[tex]y-y_1 = m(x - x_1)[/tex]

[tex]y - 8 = \frac{3}{4} (x - (-6))[/tex]

[tex]4(y - 8) = 3(x + 6)[/tex]

[tex]4y - 32 = 3x + 18[/tex]

[tex]4y - 3x = 18 + 32[/tex]

[tex]4y - 3x = 50[/tex]

.

Happy to help :)

Answer:

$15.12

Step-by-step explanation:

1. Find the total amount of sales tax. This can be done by multiplying the before tax price by the sales tax percentage.

14 x 8% = 1.12

2. Add the sales tax amount back to the price.

14 + 1.12 = $15.12

Since the line that we need to figure out is perpendicular to the one given, the slope of the line in question is going to be the opposite-reciprocal of the slope of the given line.

Slope of the given line = -12

Slope of the new line = [tex]\frac{1}{12}[/tex]

We will use the point given and the new slope to determine the y-intercept using slope-intercept form.

[tex]4 = \frac{1}{12}(0) + b\\\\4 = 0 + b\\\\4 = b[/tex]

Formula for this line

[tex]y = \frac{1}{12}x + 4[/tex]

We can graph the lines to check our work.

Both lines are perpendicular.

Answer:

The first one

Step-by-step explanation:

Dont have time to explain sry

If I translated correctly into my native language, then you need to write the equation of the straight line.

y=x this is a straight line through the first and third quarters.

1) multiply by 2: y= 2x

2) to raise the function by 3 units, you need to add 3 to it. For example: y=2x to bring it up: y=2x+3

Answer:

-8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

Answer:

x ≥ -5

Step-by-step explanation:

Given:

3x - 4 > 6 + 5x

Find:

Value of x

Computation:

3x - 4 > 6 + 5x

Subtract 5x from both side

-2x - 4 > 6

Add 4 from both side

-2x > 10

-x > 5

x > -5

x ≥ -5

Answer:

so 300000 divided by 3 is  what they are paying every ten years

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the number of elves be x and reindeer be y, then we have equations:

Simplify the second equation and subtract the first one:

Then find x:

10 elves and 5 reindeer at the meeting

The volleyball team is selling 700 snack bags to raise money.

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

Sales of pretzels and cheese puffs represent 30% of overall sales, which means that 210 bags were sold.

This ratio could be established,

⇒ 210/30% = x/100%

⇒ x = (210)100%/30%

⇒ x = 70×10

⇒ x = 700

Thus we could evaluate that there are 700 bags in total.

Therefore, the volleyball team is selling 700 snack bags to raise money.

Learn more about the Ratio here:

brainly.com/question/1504221

#SPJ2

Answer:

8cm

Step-by-step explanation:

First you must know that the diameter of the semi-circular patio is equal to the length of one side of the square

Area of a semi circle = πr²/2

25.12  = πr²

25.12 = 3.14r²/2

r² = 25.12(2)/3.14

r² = 16

r = √16

r = 4

Get the diameter

d = 2r

d =2(4)

d = 8cm

Hence the length of the side of the square is 8cm