Which equation could be used to find the measure of one acute angle in the right triangle shown below?
B
12
7.
оа
12
sin -
Ob
tan A=
Ос
cos A-
1/2
Od
tan A - 17/22

-1/2

To find the slope of the line between two points, we use the equation (y2-y1)/(x2-x1)

Substitute the values given for the xs and ys:

(7-5)/(-1-3)

2/(-4)

simplify: -1/2

Answer:

The new coordinates would be (6,5)

Step-by-step explanation:

I'm pretty sure o-O

Answer:

The number of green pens sold are 96 green pens

Step-by-step explanation:

The given parameters for the packs of pens sold by the shop are;

The number of pens in each pack of black pens = 2 pens

The number of pens in each pack of red pens = 5 pens

The number of pens in each pack of green pens = 6 pens

The ratio of number of packs of pens sold Black : Red : Green = 7 : 3 : 4

The total number of pens sold = 212

Let 'x' represent the number of packs of pens sold

Therefore, the fraction of the packs the pens sold that are black pens = 7/(7 + 3 + 4) = 7/14 = 1/2

∴ 1/2 of the number of packs of pen sold = packs black pens = x/2

The fraction of the packs the pens sold that are red pens = 3/14

∴ 3/14 of the number of packs of pen sold = packs of red pens = 3·x/14

Similarly, we have;

The fraction of the packs the pens sold that are green pens = 4/14 = 2/7

∴ 2/7 of the number of packs of pen sold = packs of green pens = 2·x/7

Therefore, we have;

x/2 × 2 + 3·x/14 × 5 + 2·x/7 × 6 = 212

Where;

x/2 × 2 = The number of black pens sold

3·x/14 × 5 = The number of red pens sold

2·x/7 × 6 = The number of green pens sold

∴ 53·x/14 = 212

x = 212 × 14/53 = 56

∴ The number of packs of pens sold = x = 56 packs

The number of green pens sold = 2·x/7 × 6 = 2 × 56/7 × 6 = 96

The number of green pens sold = 96 pens.

Answer:

subtract to find A

Step-by-step explanation:

Answer:

12 weeks

Step-by-step explanation:

25x = 300

so 25 times what equals 300, or the amount he can spend before going under 200 in his account.

25 (times) 12 = 300

Answer:

12 weeks

Step-by-step explanation:

x=# of weeks

500-25x[tex]\geq[/tex]200

-500        -500

____________

-25x    [tex]\geq[/tex]   -300

-25           -25

x[tex]\leq[/tex] 12 weeks

Answer:

Step-by-step explanation:

It’s Roman if you do the math you will get 4.94

How would you know

When doing the math i got the answer 4.94 which that mean ranjan divide wrong

Answer:

y=45x-540

Step-by-step explanation:

Answer:

ummm

Step-by-step explanation:

cz points

Answer:

5x+8y=480

5(16)+8y=480

80+8y=480

8y=40

y=50

Step-by-step explanation:

x= kids ticket sold

y= adult tickets sold

5x+8y = sales

Plug in 16 for x and 480 for sales

5(16)+8y= 480

Solve for y

80+8y=480

400=8y

y=50

Answer:

Step-by-step explanation:

Median

Not 100 percent

Median is middle he is least likely to use.

I believe its 35 but im thinking it can be 40 too

Answer:

alternate interior

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

to do % you have to multiply your number (50) by the % which is 40%

but you have to turn your number into a decimal (.40) then multiply

you'll get 20 and there is your answer!

hope this helps!

Answer:

i gotchu step sis u need help with them laundry's

Step-by-step explanation:

Answer:

Answer:

answer is 8

Step-by-step explanation:

put the equations equal to each other

then simplify

it is bcz of a angle type of parallel lines

corresponding angle

Step-by-step explanation:

Answer:

in mathematics,the trigonometric functions are real function which relate an angle of a right angle triangle to ratios of two side lengths.They are widely used in all sciences that are related to geometry,such as navigation,solid mechanics,celestial mechanics,geodesy,and many others.

Answer:

212 is the correct answer hope it helps

Step-by-step explanation:

look at the attachment

.....

The graph of the linear equation is plotted and y = ( -1/5 )x + 4

Given data ,

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

On simplifying , we get

y = ( -1/5 )x + 4

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = -1/5

And , the y-intercept of the graph of the line is when x = 0

So , when x = 0

y = ( -1/5 ) ( 0 ) + 4

y = 4

Hence , the equation of line is y = ( -1/5 )x + 4

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ6

Answer:

[tex]\boxed{\textsf{ The factorised form is \textbf{(4x+1)(3x+1)}.}}[/tex]

Step-by-step explanation:

A quadratic polynomial is given to us and we need to find its factorised form . The given quadratic polynomial is ,

[tex]\sf\implies p(x)= 12x^2+7x+1[/tex]

And this equation is similar to the equation in ax² + bx + c form . So in order to factorise it .

Step 1: Multiply the coefficient of x² with the constant term .

Here the coefficient of x² is 12 and the constant term is 1 . So on multiplying them we get 12*1= 12 .

Step 2: Look out for the possible factors of the number .

Here the obtained number is 12 . So the possible factors of 12 is

Step3: Choose the factor whose sum is equal to the coefficient of the middle term .

Here we can see that the middle term is 7 . And the sum of 4 and 3 is equal to 7 . Hence here we will break 7x as 4x + 3x .

Step 4: After proper arrangements take out the common term and then factorise.

After suitable rearrangment we get ,

[tex]\sf\implies p(x)= 12x^2+4x+3x+1 \\\\\sf\implies p(x)= 4x(3x+1)+1(3x+1) \\\\\implies\boxed{\red{\sf p(x)= (4x+1)(3x+1)}}[/tex]

Answer:

Well to start you already know the sandwich cost 5.25 and the total sales tax .92.

To find the cost of each drink

5.25 x 2= 10.50

10.50+.92=11.42

17.00-11.42= 5.58

5.58/3= 1.86

So the cost per Drink is $1.86

Step-by-step explanation:

Hope this helped!

Answer:

20%

Step-by-step explanation:

Answer:

It's -20.00%  I have a link to a website that calculate percent of change for you if you want it, just comment and tell me

Step-by-step explanation:

Answer:

The second option m=y-b/x

Step-by-step explanation:

Hope this helps :)

Answer:

B

Step-by-step explanation:

I have super human powers that tell me the correct answer

Answer:

h = 5

Step-by-step explanation:

diagonals in a parallelogram bisect each other so:

2h = h + 5

h = 5

Step-by-step explanation:

a. 3⁴

b. 7⁵

c. 10²

d. 5⁷

Hope this helps?

Answer:

72°

Step-by-step explanation:

∠TUV = (arc TSV - arc TV) / 2 = ((360-108)-108) / 2 = 144/2 = 72

Answer:

a, c

Step-by-step explanation:

because they have the same equations

Answer:

C

Step-by-step explanation:

Answer:

C or (5/3, 14/3)

Step-by-step explanation:

y = 4x - 2 = x + 3

3x - 3 = 3

3x = 5

x = 5/3 or 1 2/3

y = 5/3 + 3

y =  (5 + 9)/3

y = 14/3 or 4 2/3

Answer: Hi! The answer is 28.2

Step-by-step explanation:

The value of x from the given diagram is 28.3 in

From the diagram shown, we are given the following:

To get the value of x, we will use the relatinship;

Sin theta = opp/hyp

Sin 16.5 = 8/x

x = 8/sin16.5

x = 8/0.2840

x = 28.16

x = 28.2in

Hence the value of x from the given diagram is 28.3 in

Learn more on SOH CAH TOA here: https://brainly.com/question/20734777

Answer:

11 - 125 and 55

12 - supplementary

Step-by-step explanation:

5x+20+3x-8=180

step 1 combine like terms

8x+12=180

step 2 subtract 12 from each side

8x=168

step 3 divide each side by 8

x=21

then you just plug in 21 to each equation to find that angle 1 = 125 and angle 2=55

Problem 11

Answers:

--------------------

Explanation:

The two angles shown here form a linear pair. They supplementary so they add to 180.

(5x+20)+(3x-8) = 180

(5x+3x) + (20-8) = 180

8x+12 = 180

8x = 180-12

8x = 168

x = 168/8

x = 21

We then find the angles to be

5x+20 = 5*21+20 = 125

3x-8 = 3*21-8 = 55

Note how 125+55 = 180 to help confirm the answers

===================================================

Problem 12

Answer: B) Vertical angles

--------------------

Explanation:

Vertical angles are angles that form after intersecting two lines, and the angles are opposite one another. So one example of a vertical angle pairing would be angles 1 and 3. The other vertical angle pair of this diagram are angles 2 and 4. Vertical angles are always congruent to one another.

In this diagram, angles 1 and 4 are adjacent since they are next to each other. In other words, they share a common line (think of apartment neighbors sharing a common wall). Since they are adjacent angles, there is no way they are vertical angles.

Angles 1 and 4 are also supplementary since they form a straight line. They are a linear pair for very similar reasons. This allows us to rule out choices A, C and D.

Side note: the term "linear pair" means that the angles are adjacent and supplementary.