Find the equation of the line.
Use exact numbers.

Answer:

(-2,3)

Step-by-step explanation:

The point where two lines cross should be your answer!!!

(-2,3) is where the two lines meet/cross!!

That is the definition of a system on a graph!

-Where two lines meet/cross!!

There's a lot going on in this problem, but I think I know how to solve it. So let's first address the fact that opposite angles are equal.

Let's also address the fact that (x + 6) + (3x - 4) add up to equal 90. So with that information, we can write a problem.

x + 6 + 3x - 4 = 90

Add the x's.

4x + 6 - 4 = 90

Combine the 6 and 4.

4x + 2 = 90

Subtract the two on both sides.

4x = 88

Finally, divide by 4.

x = 22

But by no means are we done yet. We still have to find out the entire angle MFE's measure, so we'll substitute 22, our new x value, into the equation for MFE - (x + 6)

22 + 6 is the new equation.

22 + 6 = 28

Angle MFE is 28°. I took the liberty of solving for the other angle, too, so I could check the answer. And as of my checking, this answer is correct because

62 + 28 = 90

I hope this answers your question.

-Toremi

Answer:

18.4, 4.3, 0.6, 0.416, 0.25

Step-by-step explanation:

Change all sets to the same value (decimal)

41.6 / 100 (move decimal 2 to the left) =

0.416

15/25 =

0.6

4.3

18.4

1/4 =

0.25

Data:

0.416, 0.6, 4.3, 18.4, 0.25

greatest to least;

18.4, 4.3, 0.6, 0.416, 0.25

Answer:

44 litres

Step-by-step explanation:

We subtract the remainders from the amounts.

447 - 7 = 440

577 - 5 = 572

669 - 9 = 660

Now we need the GCF of 440, 572, 660

440 = 2³ × 5 × 11

572 = 2² × 11 × 13

660 = 2² × 3 × 5 × 11

GCF = 2² × 11 = 44

The greatest common factor is 44.

Answer: 44

Check:

447/44 = 10 reminder 7

577/44 = 13 remainder 5

669/44 = 15 remainder 9

I believe it's right two down one

Answer:

871.9 feet,

Step-by-step explanation:

tan 54 = 1200/ x   where x is the distance you have to walk.

x = 1200 / tan54

= 871.85

Step-by-step explanation:

sin(x)×csc(x) - cos²(x) = sin²(x)

csc(x) = 1/sin(x) (basic definition)

therefore,

sin(x)×csc(x) = sin(x) × 1/sin(x) = 1

1 - cos²(x) = sin²(x)

1 = sin²(x) + cos²(x)

and that is again a basic definition based on the standard circle with radius = 1. there we have the Pythagoras principle, as sin and cos are the legs of a right-angled triangle, with radius 1 being the Hypotenuse.

Answer:

63.14

Step-by-step explanation:

in order to get unit rate you take the distance 221miles divide by time which is 3.5 hr you get 63.14 after you have rounded .when you take 356miles divide by 6hrs you get 56.33 so the vehicle is the truck i think so

sorry to say this but kinda not that sure apologies if am wrong

Answer:

23.2 inches

Step-by-step explanation:

[tex]2(3 \sqrt{15} ) = 6 \sqrt{15} = 23.24 [/tex]

Answer:

12

Step-by-step explanation:

You want to add 8+8 and you get 16. Subtract 16 from 40 and you get 24 (This is both lengths). Divide 24 by two to get 12 (One length Vaule).

Answer:

8

Step-by-step explanation:

a*b=72

a=9

9*b=72

b=72/9

b=8

Answer:

should be 512 inches because l x w x h (8x8x8) is 512

Answer:

find the value of 'c' sach that the point (1.5) 2,-3) and(C,7) are colliner?

The simpler form of the expression cos [tex]\theta[/tex]/sin [tex]\theta[/tex] by using the trigonometry formulas is a cot [tex]\theta[/tex].

The trigonometric ratio is defined as the ratio of the pair of sides of a given right-angled triangle.

We have the expression:

[tex]\rm \frac{cos \theta}{sin \theta}[/tex]

we know that

[tex]tan \theta = \frac{sin \theta}{cos \theta} \\[/tex]

also,

[tex]\rm tan \theta = \frac{1}{cot\theta} \\[/tex]

So, By using these trigonometry formulas, we get:

 [tex]cot \theta = \frac{cos \theta}{sin\theta} \\[/tex]

Thus, the simpler form of the expression [tex]\rm \frac{cos \theta}{sin \theta}[/tex]  is cot [tex]\theta[/tex].

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Answer:

D. cot 0

Step-by-step explanation:

Answer:

The equation is y = x-2

The equation of the line will be y = x - 2.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

The slope of the line is,

[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

From the given table consider the two points as,

( 14, 12 )

( 13, 11 )

The slope is calculated as,

[tex]m = \dfrac{12 - 14}{11-13}[/tex]

m = 1

The y-intercept is calculated as,

y = mx + c

y = x + c

12 = 14 + c

c = -2

The equation of the line can be written as,

y = mx + c

y = x - 2

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Answer:

A. 1/2

Step-by-step explanation:

For the question, it says what is the experimental probability of rolling a number less than 4, meaning it is asking for the experimental probability of rolling a 1, 2, or 3. Assuming this is a fair 6-sided dice, the probability of rolling any number is 1/6. The probability of rolling a 1, 2, or 3 is also 1/6. Adding all those the probabilities of 1, 2, and 3 together gets 3/6, which simplifies to 1/2.

Therefore, the experimental probability of rolling a number less than 4 is 1/2.

Answer:

  b) Jim

Step-by-step explanation:

Given the angle measures lf Jared's triangle, Jim can draw one that is similar. However he cannot draw one that is congruent without knowing the measure of at least one side.

__

Jim is correct that he needs more information.

Answer:

I think the answer is twenve

The complete product is:

Every fraction has a numerator and a denominator separated by a horizontal bar known as the fractional bar.

As, the length of the painted area is 3 1/5 and width of the painted area is 2/3.

So, multiplication of length and width is as follows:

3 1/5 x 2/3

= 3 x 2/3 + 1/5 x 2/3

= 6/3 + 2 / 15

= 30 + 2 / 15

= 32/ 15

= 2 2/15

Thus, the required fraction is 2 2/15.

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Answer: 1.406, 5.369

Step-by-step explanation:

edg22

When you use a graphing calculator to construct a 95% confidence interval for μMajor – μMinor = the true difference in the mean healing time will be  1.406, 5.369.

A graphing calculator is known to be a kind of handheld computing device that is used for  plotting of graphs, handling simultaneous equations, etc.

Note that by inputting those numbers such as  Major: 8, 9.5, 10, 12, 11.5 Minor: 6, 7, 5.5, 8, 9, 6, 7, 6 , following the right equation on the graphing calculator, one can be able to construct a 95% confidence interval for μMajor – μMinor = and the the true difference in the mean healing time will be found to be 1.406, 5.369.

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Answer:

4 = 151.70

5a=75.85

Step-by-step explanation:

Answer:

mode = 6

range = 7

Step-by-step explanation:

To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!

The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.

The number of the correct spellings is 28.

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

Given that:-

The number of the spellings are:-

N = 40 x 70% = 28

N = 40 x  (70/100)  =  28

Therefore the number of the correct spellings is 28.

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No, not a right-angle triangle

The 3.5 should be 3.3 instead

Hope this helps!

Answer:

no ,left

Step-by-step explanation:

Answer:

the area would be 11/6 yards^2

or 1 5/6 yards^2 or 1.8333333...yards^2

Step-by-step explanation:

turn 2 3/4 into 11/4 and multiply with 2/3 to get 22/12 divide by 2 to get 11/6 then simplify

Step-by-step explanation:

Turn 2 3/4 into an improper fraction

11/4

Multiply both fractions

2/3 × 11/4 = 22/12

Simplified is 11/6 (you divide 22/12 by 2)