A retailer marks up the price of a coffee mug from $6.25 to $8.77. By what percent did the price increase? Round to
two decimal places
a. 28.73%
b. 39.68%
40.32%
45.97%
C
d

Answer:

The measures of the three interior angles of the triangle are {40,55,85}.

Step-by-step explanation:

Let a = the measure of the first angle of the triangle.

Let b = the measure of the second angle of the triangle.

Let c = the measure of the third angle of the triangle.

The problem statement tells us that

(1) a = a

(2) b = a + 15 and

(3) c = a + 45

Now we (should) know that the sum of the three angles of a triangle is 180 degrees. Then we get

(4) a + b + c = 180 or by substitution we get

(5) a + (a + 15) + (a + 45) = 180 or

(6) a + a + 15 + a + 45 = 180 or

(7) 3*a + 60 = 180 or

(8) 3*a = 180 - 60 or

(9) 3*a = 120

Now divide both sides of (9) by 3 to get

(10) 3*a/3 = 120/3 or

(11) a = 40

Using (2) and (3) we get

(12) b = 40 + 15 or

(13) b = 55 and

(14) c = 40 + 45 or

(15) c = 55

Always check the answer. Use (4)

Is (40 + 55 + 85 = 180)?

Is (95 + 85 = 180)?

Is (180 = 180)? Yes

The measures of the three interior angles would be as follows:

40°,55°,85°

If we assume the first angle(∠1) to be [tex]x[/tex],

so, the second angle(∠2) [tex]= x + 15[/tex]

while the third angle(∠3) [tex]= x + 45[/tex]

Through the Angle Sum Property, we know:

∠1 + ∠2 + ∠3 = 180°

By applying the above expressions, we get

[tex]x + (x + 15) + (x + 45) = 180[/tex]°

⇒ [tex]3x + 60 = 180[/tex]

⇒ [tex]3x = 180 - 60[/tex]

⇒ [tex]x = 120/3[/tex]

∵ [tex]x = 40[/tex]°

Therefore,

∠1 = 40°

∠2 = 40° + 15°

= 55°

∠3 = 40° + 45°

= 85°

Thus, the measures of the angles are 40°,55°, and 85°

Learn more about "Angles" here:

brainly.com/question/11990585

Answer:

ano ba gagawin

parang Ang Dali pero ano gagawin dyan

Hi there!

For this problem, pretty much add all of them and then subtract with 22 to find how much Jen ran on Friday.

Monday+Tuesday+Wednesday+Thursday:

Simplify all terms and find all common denominators:

Common denominator: 8

[tex]4 \frac{3}{4} = 4 \frac{6}{8}[/tex]

[tex]5 \frac{1}{8} = 5 \frac{1}{8}[/tex]

[tex]6 \frac{1}{4} = 6 \frac{2}{8}[/tex]

Combine all terms:

[tex]4 \frac{6}{8} + 5 \frac{1}{8} + 6 \frac{2}{8} = 15 \frac{9}{8}[/tex]

Simplify 15 9/8 or else can’t subtract with 22.

[tex]9/8 = 1 \frac{1}{8}[/tex]

[tex]15 + 1 \frac{1}{8} = 16 \frac{1}{8}[/tex]

Turn 22 into 21 8/8...

Subtract: 21 8/8 with 16 1/8

[tex]21 \frac{1}{8} - 16 \frac{1}{8} = 5 \frac{7}{8}[/tex]

This means that 5 7/8 is how much mile Jen must run on Friday to reach her goal.

The numerical coefficient for the expression how much of the variables, in this case xy^2 there are in number form. There is only one number in this question so it makes it fairly straight forward. The answer is -3.

Step-by-step explanation:

This is oddly worded I understand. They are asking for the relationship between x and y. Your equation will start with y= You will need to form your equation in a way that will tell you how to find y in relation to x at any given term. I want you to learn and grow so i will just give an example. Take y=x-2 this would mean that y equals whatever x-2 is. If x were to equal 13, y would equal 11 because 13 minus 2 is 11. I hope this helps. I didnt want to give it all away because I wanted you to feel accomplished

well if that's in a math problem then its division. Because you are sharing equally.

Answer:

760,000

Step-by-step explanation:

Question is incomplete :

The weather forecast for the weekend is a 46% chance of rain for Saturday and a 54% chance of rain for Sunday. If we assume that consecutive days are independent events, What is the probability that it rains over the weekend (either Saturday or Sunday)? Please use 3 decimal places.

In fact, weather on consecutive days depends on similar atmospheric conditions and therefore consecutive days are not independent events.With the weather forecast of the previous exercise, the probability that it rains over the weekend (either Saturday or Sunday) isA. 0.7516B. 0.3758 C. 0.2484D. Because consecutive days are not independent, we cannot compute P(rain both days) with the information given.

Answer:

0.7516 ;

D.) Because consecutive days are not independent, we cannot compute P(rain both days) with the information given.

Step-by-step explanation:

Let :

Saturday = A ; Sunday = B

P(A) = 0.46 ; P(B) = 0.54

If A and B are independent :

P(AuB) = P(A) + P(B) - P(AnB)

P(AnB) = P(A) * P(B) = 0.46 * 0.54 = 0.2484

P(AuB) = 0.46 + 0.54 - 0.2484

P(AuB) = 0.7516

If A and B are not independent, and how the weather on Saturday affect the weather on Sunday and vice versa. Hence, we cannot compute AuB

Answer:

[(3, 4, 5, 6, 8)]  

Step-by-step explanation:

The x-values are the first value of each point

Answer:

Acute angle

Step-by-step explanation:

Answer:

34° angle is an acute angle

Answer:

3.02

x 10

-------

000

+302x

______

30.20

Answer:

72.68 would be your total.

Step-by-step explanation:

Answer:

5/6 se eu não me engano.

Step-by-step explanation:

ajudareroesp

Answer:

Step-by-step explanation:

(-2,0) and (8,0) are horizontally aligned, so the ellipse is horizontal.

The equation of the ellipse is: [tex](x + 2)^2 / 16 + y^2 = 1.[/tex]To find the equation of the ellipse with the given information, we need to determine the major axis length and the equation's standard form.

The center of the ellipse is (-2, 0), and one vertex is at (8, 0). This means that the major axis is along the x-axis, and its length is equal to the distance between the center and the vertex, which is 8 units.

The minor axis length is given as 2 units. Since the minor axis is perpendicular to the major axis, it corresponds to the y-axis.

The standard form equation of an ellipse with a horizontal major axis is:

[tex]((x - h)^2 / a^2) + ((y - k)^2 / b^2) = 1,[/tex]

where (h, k) represents the center of the ellipse, and a and b are the semi-major and semi-minor axes' lengths, respectively.

Plugging in the given information, we have:

Center: (h, k) = (-2, 0)

Semi-major axis length: a = 8 / 2 = 4

Semi-minor axis length: b = 2 / 2 = 1

Substituting these values into the standard form equation, we get:

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

Simplifying:

[tex](x + 2)^2 / 16 + y^2 = 1[/tex]

To know more about ellipse:

https://brainly.com/question/20393030

#SPJ2

Answer:

D

Step-by-step explanation:

Answer:

the answer is D your welcome lol

Step-by-step explanation:

lol

Answer: The last option, or D

Step-by-step explanation:

35x−35y+21

9514 1404 393

Answer:

Step-by-step explanation:

The ratio of the larger to the smaller corresponding sides is ...

  12.5/5 = 2.5

That means ...

  x = 2.5 × 4 = 10

  y = 2.5 × 3 = 7.5

Answer:

i love math

The ans is in the picture and the steps how i got it

(hope this helps can i plz have brainlist it will make my day :D hehe)

Step-by-step explanation:

Answer: look at the picture

Step-by-step explanation: Hope this help :)

Answer:

d

Step-by-step explanation:

Answer:

use photomath

Step-by-step explanation:

Answer:

x=7,x=-1/2

Step-by-step explanation:

so x-7=0 or 2x+1=0

x=7 or 2x=-1

x=7,x=-1/2

if my answer helps please mark as brainliest.

Answer:

D

Step-by-step explanation:

It is going from top left to bottom right, so we now it is a negative slope. This leaves us with B or D. When the y axis decreases 1 (aka (x,-1)) the x axis is at 4. Rise/run is 1/4.

Answer:

6% chance

Step-by-step explanation:

I think it would be 0.1 * 0.6 which is 0.06

Answer:

Step-by-step explanation:

3  is the answer

you're welcome

Step-by-step explanation:

4 is the answer since the question asks if the student would prefer so to get a better opinion you'd have to ask ever student in all grade

Answer:

There is a dilation and the scale factor is 4

Step-by-step explanation:

The details that complete the question are:

△ABC

A(2, 5), B(6, 10), C(9, −1)

△A′B′C′

A′(0.5, 1.25), B′(1.5, 2.5), C′(2.25, −0.25)

Checking if there is dilation or not

To do this, we make use of the following scale factor (k) formula:

[tex]k = \frac{Original}{Image}[/tex]

Using A and A'

[tex]k = \frac{A}{A'}[/tex]

[tex]k = \frac{(2,5)}{(0.5,1.25)}[/tex]

Factorize the numerator

[tex]k = \frac{4(0.5,1.25)}{(0.5,1.25)}[/tex]

[tex]k = 4*\frac{(0.5,1.25)}{(0.5,1.25)}[/tex]

[tex]k = 4 * 1[/tex]

[tex]k =4[/tex]

Using B and B'

[tex]k = \frac{B}{B'}[/tex]

[tex]k = \frac{(6,10)}{(1.5, 2.5)}[/tex]

Factorize the numerator

[tex]k = \frac{4(1.5, 2.5)}{(1.5, 2.5)}[/tex]

[tex]k = 4*\frac{(1.5, 2.5)}{(1.5, 2.5)}[/tex]

[tex]k = 4 * 1[/tex]

[tex]k =4[/tex]

Using C and C'

[tex]k = \frac{C}{C'}[/tex]

[tex]k = \frac{(9, -1)}{(2.25, -0.25)}[/tex]

Factorize the numerator

[tex]k = \frac{4(2.25, -0.25)}{(2.25, -0.25)}[/tex]

[tex]k = 4*\frac{(2.25, -0.25)}{(2.25, -0.25)}[/tex]

[tex]k = 4*\frac{(2.25, -0.25)}{(2.25, -0.25)}[/tex]

[tex]k = 4 * 1[/tex]

[tex]k =4[/tex]

The above shows that k is 4 in all cases.

Hence, there is a dilation and the scale factor is 4