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:

x = 8

y = 21

Step-by-step explanation:

y = 4x − 11

x + y = 29

Solve for x:

x + y = 29

x + 4x − 11 = 29

5x − 11 = 29

5x = 40

x = 8

Solve for y:

y = 4x − 11

y = 4 × 8 − 11

y = 21

Answer: C

Step-by-step explanation: If a car is 12 inches a room could possibly be 16 feet and a room and a car might or if not might have the same width

I hoped i helped :)

Answer:   C) 16 feet

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

Work Shown:

3 inches on paper = 4 feet in real life

Multiply both sides by 4 so that the "3 inches on paper" turns into "12 inches on paper"

We get

4*(3 inches on paper) = 4*(4 feet in real life)

12 inches inches on paper = 16 feet in real life

This leads to the answer C) 16 feet.

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

Alternative Method:

(3 in on paper)/(4 ft in real life) = (12 in on paper)/(x ft in real life)

3/4 = 12/x

3*x = 4*12 ... cross multiply

3x = 48

x = 48/3 .... dividing both sides by 16

x = 16

The car's length is 16 feet in real life.

9514 1404 393

Answer:

  i) exponential; values have a common ratio; f(x) = -2·4^x

  ii) linear; values have a common difference; f(x) = 4x -3

  iii) exponential; values have a common ratio; f(x) = 4·2^x

Step-by-step explanation:

Sequential, or evenly-spaced, input values will result in output values with a common difference if the function is linear. They will result in output values with a common ratio of the function is exponential.

The initial value, or y-intercept, is the value when x=0. The general form of the formulas is ...

  linear: f(x) = (common difference)·x + (initial value)

  exponential: f(x) = (initial value)·(common ratio)^x

__

i) The f(x) values have a common ratio of -8/-2 = 4, so the relation is exponential. The initial value is f(0) = -2. The equation is ...

  f(x) = -2·4^x

__

ii) The f(x) values have a common difference of 1 -(-3) = 4, so the relation is linear. The initial value is f(0) = -3. The equation is ...

  f(x) = 4x -3

__

iii) The f(x) values have a common ratio of 8/4 = 2, so the relation is exponential. The initial value is f(0) = 4. The equation is ...

  f(x) = 4·2^x

Answer:

0,10

9,7

10,6

3,10

7,8

1,4

10,8

0,3

0,5

7,6

Step-by-step explanation:

Answer:

I believe that the answer is the 5th one (Adjacent angles).

Step-by-step explanation:

Adjacent angles are two angles that share a common side and vertex.

Complementary angles are mostly the same but their degrees add up to 90.

Supplementary angles are similar to complementary angles but add up to 180 degrees.

Vertical angles intersect though each other and are not perpendicular (which perpendicular angles also intersect, but all angles are 90 degrees and they all add up to 360 degrees).

Linear angles are like their name, they are linear. And, they usually intersect like vertical angles. Have a linear relationship between the angles.

The angles shown on the pictures are not any of the answers, except adjacent. They don't add up to 90 degrees, so they are not complementary. They share the same common side and vertex. These facts lead up to one answer which is adjacent. These angles are adjacent.

Hope this explanation helps! :)

Answer:

The slope of the line is [tex]\displaystyle \frac{9}{14}[/tex].

Step-by-step explanation:

We are given the line in standard form:

[tex]9x - 14y = 28[/tex]

We need to get this into slope-intercept form in order to determine the slope of the line.

Slope-intercept form is [tex]y = mx + b[/tex], where m is our slope and b is the y-intercept.

Therefore, we need to get:

converted to:

[tex]\displaystyle 9x - 14y = 28\\\\-14y = -9x + 28\\\\\frac{-14y}{-14}=\frac{-9x+28}{-14}\\\\y = \frac{9}{14}x-2[/tex]

Therefore, by solving the equation in slope-intercept form, we see that m equals 9/14, so our slope is [tex]\displaystyle \frac{9}{14}[/tex].

Answer:

[tex]m=-1[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-4, 0)

Point (-3, -1)

Step 2: Find slope m

Answer:

C.) 1 5/b boxes

Number of boxes left over

= 3 - 1/2 - 2/3

Convert each  fraction to one in terms of the LCM:

= 18/6 - 3/6 - 4/6

= 11/6

= 1 5/6 boxes.

The solution is Option B.

The number of boxes of crackers left with Eloise is 1 5/6 boxes of crackers

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of boxes of crackers left with Eloise be = A

Now , the total number of boxes of crackers be = 3 boxes

The number of boxes of crackers ate on Saturday = 1/2

The number of boxes of crackers ate on Sunday = 2/3

So , the equation will be

Number of boxes of crackers left with Eloise A =  total number of boxes of crackers - number of boxes of crackers ate on Saturday - number of boxes of crackers ate on Sunday

Substituting the values in the equation , we get

Number of boxes of crackers left with Eloise A = 3 - 1/2 - 1/3

On simplifying the equation , we get

Number of boxes of crackers left with Eloise A = 5/2 - 2/3

Number of boxes of crackers left with Eloise A = ( 15 - 4 ) / 6

Number of boxes of crackers left with Eloise A = 11/6

Number of boxes of crackers left with Eloise A = 1 5/6 boxes

Therefore , the value of A is 1 5/6 boxes

Hence , the number of boxes left is 1 5/6 boxes of crackers

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n(x) will give output for any number except 0.

An equation consists of two sides, the left-hand side and the right-hand side, which are separated by an equals sign (=). The left-hand side and the right-hand side each contain one or more variables, which are quantities that can vary or be assigned different values.

Given

n(x)=2/x

From the given option, 3 and5  will satisfy the equation.

n(x)=2/3 for the value of x=3

n(x)=2/5 for the value of  x=5

For the value of x=0

O will not satisfy.

n(x)=2/0=not defined

Hence, n(x) will give output for any number except 0.

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Answer:

j=12

Step-by-step explanation:

[tex]-\frac{1}{3}=\frac{j}{4}-\frac{10}{3}[/tex] is what we start with.  first, do the inverse of -10/3. therefore, we add 10/3 to both sides.

[tex]\frac{9}{3}=\frac{j}{4}[/tex] is what we end up with. then simplify.

[tex]3=\frac{j}{4}[/tex] is what we have after simplifying. next we do the inverse of dividing by 4, so we multiply by 4.

[tex]12=j[/tex] is the final answer. or j=12. hope this helps!

Answer:

-3,4,-4

Step-by-step explanation:

Answer:

(-3,7)

Step-by-step explanation:

Given that :

To find :

Solution :

•Let us take the units digit be x

•Then the tens digit will be 2x [As it is given that the tens digit is two times the units digit]

A/Q

↪2x + x = 66

↪3x = 66

↪x = 66/3

↪x = 22

Therefore,the units digit is 22

And the tens digit is 2x = 2 × 22 = 44

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Answer: It is b

Step-by-step explanation: hope this helps :)

Answer:

4y+10=-5

4y=-5-10

4y=-15

y=-15/4

y=3.25

Answer:

If you do 7 x 6 you get 42

Step-by-step explanation:

Bill was in his cousin's house for 42 days

A week is a time unit equal to seven days

Bill went to visit his cousin Dana for six weeks

1 week = 7 days

6 week =7×6=42 days

Hence, Bill was in his cousin's house for 42 days

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Answer:

15.625 cm^3

Step-by-step explanation:

[tex]V=2.5^{3} \\V=2.5*2.5*2.5\\V=6.25*2.5\\V=15.625 cm^{3}[/tex]

Answer: x = -6

Step-by-step explanation:

Since 2 angles have to equal 180, you add both of the angles you see and figure out what that answer is

101+91=192

192 - x - x

192 - 6 - 6 = 180

Answer: x=-6

Step-by-step explanation:

They are supplementary angles so both measures = 180. So x+91+x+101=180. 2x+192=180. 2x=-12. X=-6

Answer:

8

Step-by-step explanation:

Answer:

8 + 2 = 10    2 + 8 = 10       10 + 10 = 20  

Step-by-step explanation:

Answer:

The commutative property

Step-by-step explanation:

The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer

Answer:

New dimension:

Length = 15m

Width = 9m

Step-by-step explanation:

Length = 13m

Width = 7m

Area of a rectangle = length × width

New dimensions:

Length = (13 + x)m

Width = (7 + x)m

Where,

x = increase in each dimension

Area of a rectangle = length × width

(13 + x) × (7 + x) = 135

91 + 13x + 7x + x² = 135

91 + 20x + x² = 135

x² + 20x = 135 - 91

x² + 20x = 44

x² + 20x - 44 =0

Using factorization method to solve quadratic equation

x² - 2x + 22x - 44 = 0

x(x -2) + 22(x - 2) = 0

(x - 2) (x + 22) = 0

x = 2 , x = -22

The increase can not be a negative value

Therefore, the increase in the dimensions is 2 inches

New dimensions:

Length = (13 + x)m

= (13+2)m

= 15m

Width = (7 + x)m

= (7+2)m

= 9m

Answer:

robin would type D 60 characters in 20 seconds

Answer:

40 + 4√13

Step-by-step explanation:

A kite is a quadrilateral (has four sides) with two pairs of equal adjacent sides. The longer diagonal of a kite bisects the shorter diagonal.

Since in kite JKLM, diagonal KM bisects JL, hence KM is the longer diagonal.

JP = LP

JL = 12

JL = JP + LP

12 = JP + LP

2JP = 12 (LP = JP)

JP = 6

We can find JK using Pythagoras theorem, hence:

JK² = JP² + KP²

JK² = 4² + 6²

JK² = 16 + 36

JK² = 52

JK = √52 = 2√13

JK = KL = 2√13

ML = JM = 20

Perimeter of kite = JK + KL + ML + JM = 20 + 20 + 2√13 + 2√13

Perimeter of kite = 40 + 4√13

Answer:

Ayo its ( $6.40 )

Step-by-step explanation:

I did it for my do now once.

The profit would be $6.4 if the store sells 80 feet of rope the answer would be $6.4.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The amount a hardware store pays for buying nylon rope is represented by the equation

y = 0.12x, where y is the price it pays for x feet of rope.

Plug x = 80 feet

y = 0.12(80)

y = $9.6

The equation for the graph:

y = 0.20x

Plug x = 80 feet

y = $16

The profit = 16 - 9.6 = $6.4

Thus, the profit would be $6.4 if the store sells 80 feet of rope the answer would be $6.4.

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Answer:

19/5

Step-by-step explanation: