Horizontal streets are parallel to each other. The angle measure of the two streets that intersect at Cathy’s Coffee is 95 degrees.
(a) Suppose you are traveling northeast from Ivan’s Ice Cream and turns West at Isabel’s Ice Cream. What is the measure of the angle created by your turning? Explain your answer in terms of what angles are congruent, supplementary, etc. to each other and why.
(b) Suppose you are traveling southwest from Beverly’s Burgers and turn East at Bob’s Burgers. What is the measure of the angle created by your turning? Explain your answer in terms of what angles are congruent, supplementary, etc. to each other and why.
(c) Suppose you are traveling southwest from Beverly’s Burgers and turn West at Connie’s Coffee. What is the measure of the angle created by your turning? Explain your answer in terms of what angles are congruent, supplementary, etc. to each other and why.

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:

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:

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:

212 is the correct answer hope it helps

Answer:

alternate interior

Step-by-step explanation:

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:

The new coordinates would be (6,5)

Step-by-step explanation:

I'm pretty sure o-O

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

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

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]

Step-by-step explanation:

a. 3⁴

b. 7⁵

c. 10²

d. 5⁷

Hope this helps?

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:

a, c

Step-by-step explanation:

because they have the same equations

Answer:

y=45x-540

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:

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.

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:

A

Step-by-step explanation:

because the answer needs both amounts of money and the beginning equation x + y = 77 can't have any other numbers.

Answer:

Step-by-step explanation:

Median

Not 100 percent

Median is middle he is least likely to use.

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:

h = 5

Step-by-step explanation:

diagonals in a parallelogram bisect each other so:

2h = h + 5

h = 5

Answer:

ummm

Step-by-step explanation:

cz points

-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:

72°

Step-by-step explanation:

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

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: 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

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Answer:

subtract to find A

Step-by-step explanation: