Triangle CAT is an isosceles triangle with base angles C and T each represent by (3x + 11) degrees, while angle A is represented by (9x + 8) degrees. Find the measure of angle C.

Answer:

58

Step-by-step explanation:

Replace the p in the function with 10. 5(10) + 8 = 58

Answer:

i believed its a=-3

Step-by-step explanation:

-2(a-3)=12

-2a+6=12

-2a=6

divide -2

a=-3

Answer:

d. 250π/3

Step-by-step explanation:

A = πr²

A = 3.14(10)² = 314.159

A = 314.159*(5/6) = 261.799

A = 261.799 = 250π/3

Answer:

D

Step-by-step explanation:

You need to set up a ratio between the area of the sector & the area of the circle vs the angle of the sector & 360 degrees.

[tex]\frac{SectorAngle}{360} =\frac{SectorArea}{CircleArea}[/tex]

That above is your formula you need to remember for these equations.

Now let's solve. You've been given the sector angle, which is 300 degrees, and you've been given the radius of the circle, 10 feet.

The area of a circle is the formula: A = πr²

Given that formula and you know the radius. You plug in 10 feet for r and solve for the area.

[tex]A=\pi10^2\\A=314.159[/tex]

Now lets solve for the missing variable (Sector Area).

[tex]\frac{300}{360} = \frac{x}{100\pi }\\100\pi * \frac{300}{360} = \frac{x}{314.159}*100\pi\\100\pi* \frac{300}{360} = x\\\frac{250\pi }{3} = x[/tex]

I kind of messed up since I didn't realize the answer choices were simplified, make sure for the area you don't completely solve the area, keep the pi simple if the answer choices include pi.

Answer:

plus 2

Step-by-step explanation:

because there negatives

Answer:

Step-by-step explanation:

Answer:

x = 50°

Step-by-step explanation:

According to exterior angle property of a traingle , measure of exterior angle is equal to sum of it's two interior angles of the triangle. So,

[tex]x = 15 + 35 = 50[/tex]

Answer:

#1 yes #2

Step-by-step explanation:

I added comments on why it is correct

Answer:

x = 10

Step-by-step explanation:

Every triangle has 180o. Just add the three angles together.

8x + 5 + 3x + 25 + 4x = 180         Combine the like terms.

15x + 30 = 180                              Subtract 30 from both sides

15x = 180 - 30                              Combine

15x = 150                                      Divide by 15

x = 150/15

x = 10

Answer:

10

Step-by-step explanation:

8x + 5° + 3x + 25° + 4x = 180° (angle sum property of a triangle)

8x + 3x + 4x + 5° + 25° = 180°

15x + 30° = 180°

15x = 180° - 30°

15x = 150°

x = 150/15

x = 10°

hope it helps u!

Answer:

8

Step-by-step explanation:

Just do 40 divided by 5.

Answer:

Gertrude, Bart, Hermione, Jojo

Step-by-step explanation:

Ok to start of lets identify the money in each bank account

I will not be using names to make this simpler.

Student A: $-100.54

Student B: $95.88

Student C: $50.00

Student D: $-120.37

Lets pretend that were not talking about money to help you understand this.

So just from glancing at this you'd think -120.37 would be the most because its the largest number correct?

Well you have to include the negative sign. The negative sign shows that this number is below 0.

Lets take a look at the other negative number.

-100.54

Greater or less than -120.37?

-100.54 is actually greater than -120.37

Why?

On a number line, the negative side, your counting back from 0. So the farther away you are from 0 for negatives, the less that number is.

So -120.37 would be the least and -100.54 would be the second least.

The greatest would be 95.88 because its greater than 50.

So the order would be 95.88, 50, -100.54, then -120.37

Just find which students that goes with and your done!

If you ever need more help don't be afraid to reach out and I hope that helps!

Dividing fractions is the same as multiplying the reciprocal.

As an easy way to remember this, you can use the Keep it, Switch it, Flip it method.

Keep: [tex]\frac{4}{9}[/tex]

Switch: the division sign to multiplication.

Flip Flip the numbers of [tex]\frac{2}{1}[/tex], or find it's reciprocal. [tex]\frac{1}{2}[/tex] turns into [tex]\frac{2}{1}[/tex].

Now, your problem looks like this:

[tex]\frac{4}{9}[/tex] * [tex]\frac{2}{1}[/tex] (which should be the answer to your first blank)

Multiply across.

4 x 2 = 8 and 9 x 1 = 9, so: [tex]\frac{8}{9}[/tex] should be the second blank.

Answer:

Between 0 and 1 minute: 25

Between 1 and 2 minutes: 0

Between 2 and 4 minutes: -25

Step-by-step explanation:

Notice the changes in the table and how the line increases, stays constant, and decreases.

Answer:

20

Step-by-step explanation:

30/3=10

10*2=20

Answer:

11.265 minutes.

Step-by-step explanation:

A minute is about a a kilometer so 7 miles is about 11.265 minutes.

Answer:

The answer is 8

Step-by-step explanation:

Pay attention bro

Given:

In a geometric sequence,

First term = 11

Common ratio = 4

To find:

The function for the geometric sequence.

Solution:

We have,

First term: a = 11

Common ratio: r = 4

We know that, nth term of a geometric sequence is

[tex]a_n=ar^{n-1}[/tex]

Putting a=11 and r=4, we get

[tex]a_n=(11)(4)^{n-1}[/tex]

The function notation is

[tex]f(n)=(11)(4)^{n-1}[/tex]

Therefore, the function for the geometric sequence is [tex]f(n)=(11)(4)^{n-1}[/tex], where n is a positive integer.

Answer:

The answer is A

Step-by-step explanation:

Answer:

slope: 0

y-intercept:(0,49)

Step-by-step explanation:

Hope this helps!

Answer:

SLOPE: 0

Y -INTERCEPT: 49

Step-by-step explanation:

y = -32 - 17 (collect like terms)

y = 49

The slope would be zero because it doesn't have an x-intercept.

The line would look like this..

49 -------------------------------------------- completely flat like the floor so zero slope.

HOPE THIS HELPS!1

Answer: Arm routine = 11 minutes

Abdominal routine = 22 minutes

Step-by-step explanation:

Let the minutes used for an arm routine be represented by x.

Let the minutes used for an abdominal routine be represented by y.

Last week, he worked out for a total of 88 minutes by doing 2 arm routines and 3 abdominal routines. This can be expressed as:

2x + 3y = 88

This week, he has completed 4 arm routines and 1 abdominal routine and spent a total of 66 minutes exercising. This can be expressed as:

4x + y = 66

2x + 3y = 88 ...... i

4x + y = 66 ...... ii

Multiply equation I by 4

Multiply equation ii by 2

8x + 12y = 352 ...... iii

8x + 2y = 132 ...... iv

Subtract iv from iii

10y = 220

y = 220 / 10

y = 22

An abdominal routine last for 22 minutes

From equation I

2x + 3y = 88

2x + 3(22) = 88

2x + 66 = 88

2x = 88 - 66

2x = 22

x = 22/2

x = 11 minutes

An arm routine last for 11 minutes

Answer:

18 per serving

Step-by-step explanation:

54/3=18   just divide to find the unit rate

Answer:

y=9

Step-by-step explanation:

Isolate the variable by dividing each side by factors that dont contain the variables

move variable to left side and change its sign  

42-7y+3y=6    collect like terms

-7y +3y=6-42

-4y=6-42

-4y=-36     divide both sides of the equation by -4

y=9

hope that helps :)

Answer:

2 oz.

Step-by-step explanation:

2 eggs is 4 oz. of oil so 4/2 =2 oz for 1 egg

Answer:

C

Step-by-step explanation:

Slope of first equation: -1/2; y-int: -1

Slope of second equation: 1/4; y-int: -4

Answer:

C:

y=  -1/2x -1

y=  1/4x -4

Step-by-step explanation:

Quick maths

Answer:

The slope-intercept form of the equation of this line is:

[tex]y=-x[/tex]

Hence, option 'c' is true.

Step-by-step explanation:

From the line equation, let us take two points

Finding the slope between two points

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(1,\:-1\right),\:\left(x_2,\:y_2\right)=\left(-1,\:1\right)[/tex]

[tex]m=\frac{1-\left(-1\right)}{-1-1}[/tex]

[tex]m=-1[/tex]

From the line graph, we can determine the y-intercept by setting x=0 and checking the y-value at x=0

at x=0, y=0

Thus, (0, 0) is the y-intercept

We know that the slope-intercept form of the line equation is

y=mx+b

where

As we have already determined m=-1 and y-intercept=b=0

so substituting m=-1, b=0 in the slope-intercept form of the line equation

[tex]y=mx+b[/tex]

[tex]y=(-1)x+0[/tex]

[tex]y=-x[/tex]

Thus, the slope-intercept form of the equation of this line is:

[tex]y=-x[/tex]

Hence, option 'c' is true.

Answer:true

Step-by-step explanation:

Answer: Company A is charging $13 per pound of chocolate

Step-by-step explanation:

32.5/2.5=13= 1 pound

Check:

13*2.5=$32.5

Answer:

Yes, your total savings on gas is proportional to the number of beverages you purchase.

Step-by-step explanation:

What is a proportional relationship?

A proportional relationship, also known as direct relation, between two variables exists when the ratio between every pair of data is constant.

In this case the variables are:

number of beverage purchased

savings

Thus, as per every beverage purchase you save $ 0.20 the ratio of total savings to the number of beverage purchases is:

savings / beverages purchase = $ 0.20 / beverage

That means that you can determine the savings by multipliying the number of beverages times $ 0.20.

For proportional relationships it is easy to build a table that shows the behavior of the variables. This shows you that:

Number of beverages   savings    ratio

        1                              $ 0.20      $0.20 / 1 beverage = 0.20

        2                             $ 0.40      $0.40 / 2 beverages = 0.20

        3                             $ 0.60       $0.60 / 3 beverages = 0.20

        4                             $ 0.80       $0.80 / 4 beverages = 0.20

Answer:

15x + 28y = 116

x + y = 6

Step-by-step explanation:

Answer:

A :)

Step-by-step explanation:

Answer:

x = 3

y = 18

Step-by-step explanation:

you replace y with 6x

x + 6x = 21

combine like terms

7x = 21

divide both sides by seven

x = 3

then you plyg 3 into the other equation

y = 6(3)

y= 18

Answer:

x=3

y=18

Step-by-step explanation:

x+y=21..........equation 1

or,x=21-y......equation 2

y=6x.......equation3

substituting the value of x in equation 3

y=6(21-y)

or,y=126-6y

or,7y=126

y=18

again,substituting the value of y in equation 2

x=21-y

or,x=21-18

x=3

x=3,y=18