Find the value of z. Then find the value of the interior angles ​

Answer:

Possible values of x are whole numbers that are lesser than 15 inches

Step-by-step explanation:

We are given;

Base; b = 15 inches

Height; h = 10 inches

Formula for area of triangle is;

A_tria = ½bh

A_tria = ½ × 15 × 10

A_tria = 75 Sq.in

Now, formula for trapezoid is;

A_trapez = ½(a + b)h

Where a is the side parallel to the base.

We are told that the area of the trapezoid is less than twice the area of the triangle.

Thus;

½(a + 15)10 < 2(75)

Simplifying;

5(a + 15) < 150

Divide both sides by 5 to get;

a + 15 < 150/5

a + 15 < 30

Subtract 15 from both sides to get;

a < 30 - 15

a < 15

Possible values of x are whole numbers that are lesser than 15 inches

Answer:

B. [tex]y = \frac{2}{3} x + 5[/tex]

Step-by-step explanation:

Let's use the slope equation first. The slope equation is as follows:

[tex]\frac{y2-y1}{x2-x1} = slope[/tex]

This is what is given in the equation:

Let's label each component of the equation using these points:

y2 = 9

y1 = 7

x2 = 6

x1 = 3

Now, plug these into the equation

[tex]\frac{9-7}{6-3} = \frac{2}{3}[/tex]

We can now eliminate A and C of the answer choices.

Now let's find the y intercept

Right now we have the following equation

[tex]y = \frac{2}{3} x+ (y intercept)[/tex]

In order to find the y intercept we need to plug in one of the given points into the equation. Let's use point (3,7).

The equation should look like this now:

[tex]7 = \frac{2}{3}(3) + (yintercept)[/tex]

Now lets solve for the y-intercept

[tex]7 = \frac{2}{3}(3) + (yintercept)\\7 = \frac{6}{3} + (yintercept)\\7 = 2 + (yintercept) \\5 = yintercept[/tex]

Now that we found the y-intercept is 5 we have our full equation!

[tex]y = \frac{2}{3} x + 5[/tex]

Hope this helps!!

- Kay

Answer:

y = -300x

Step-by-step explanation:

The y-intercept passes through 0, in this case, we don't have to include the y intercept to the equation. The slope is -300, or vertical/horizontal (rise/run, the formula for finding slope <<) We just include the slope if there is no y intercept. So, y = -300x is the equation!

Answer:

Step-by-step explanation:

1. Distribute

3x + 3 = -2x + 2 - 4

2. Simplify

-2x + 2 - 4

2-4 = -2

-2x - 2

3. Solve

3x + 3 = -2x - 2

+2x       +2x

4. Cont. Solving

5x + 3 = -2

     -3     -3

5x = -5

5. Divide by 5

5x = -5

/5      /5

Hope this helped,

Kavitha Banarjee

Answer:

Step-by-step explanation:

8 litres of petrol cover's =60km

For 1km petrol required=8/60 litre

For 50 km petrol required=8x50/60 litre

=6.66 litre is the answer

Answer:

20

Step-by-step explanation:

hello just grinding

Answer:

(33/5 , -3/10)

Step-by-step explanation:

Answer:

Step-by-step explanation:

❗️URGENT NEED ASAP❗️

Given functions,

f(x) = -5x – 14 g(x) = -02 + 9x - 1

find f(9) + g(-2)

Answer:

Functions! Nice.

Step-by-step explanation:

This is a pretty simple concept.

What it wants you to do is to input those values inside the parentheses(9 or -2) into those equations for x. Then, you will have to add those values that you get.

If you didn't understand, watch and learn!

[tex]for x=9\\f(9)=-5(9)-14\\f(9)=-59\\[/tex]

Now try to do that for the second equation, but this time, have x as -2.

(I also can't solve the last one because I can't make sense of the equation. What is 02?)

Stay Safe!

P.S. When you find the answer to that second one, just add it to the first answer, and you'll get the final answer.

Answer:

a. 55.5

b. 12

Step-by-step explanation:

a. 94+17=111

180-111=69

2x+69=180

2x=111

x=55.5

b. 180-90=90

5x-7+x+25= 90

6x+18=90

6x=90-18

6x=72

x=12

Answer:64

Step-by-step explanation:8(-2)(-4)

64

Answer:

a) The smallest possible number of sides of the polygon is a regular polygon with 5 sides

b) The largest possible number of sides of the polygon is a regular polygon with 9 sides

Step-by-step explanation:

a) The smallest exterior angle of the polygon = 40°

The largest exterior angle of the polygon = 80°

Therefore, we have the interior angles are;

The smallest interior angle of the polygon = 180° - 40° = 140°

The largest interior angle of the polygon = 180° - 80° = 100°

Therefore, we have

The interior angles of a regular polygon are given by the following formula;

[tex]Interior \ angle =\dfrac{(n-2) \times 180 ^{\circ}}{n}[/tex]

For an interior angle of 100°, we have;

[tex]100^{\circ} =\dfrac{(n-2) \times 180 ^{\circ}}{n}[/tex]

100/180 × n = n - 2

2 = n - 100/180 × n = 4/9·n

2 = 4/9·n

n = 18/4 = 4.5

Therefore, given that a square has an interior angle of 90° we have the smallest possible number of sides polygon = 5 sides

b) For 140°, we have;

[tex]140^{\circ} =\dfrac{(n-2) \times 180 ^{\circ}}{n}[/tex]

140/180 × n = n - 2

2 = n - 140/180 × n = 2/9·n

2 = 2/9·n

n = 18/2 = 9

n = 9 sides

Therefore, the largest possible number of sides = 9 Sides.

Answer:

b.) 9/g = 28.5

Step-by-step explanation:

a.) 9g = 28.5

b.) 9/g = 28.5

c.) 28.5 = 9 x g

d.) 28.5/9 = g

Total billing = $28.50

Rate = $9 per gigabyte

Calculate the additional gigabytes, g, that you used.

Additional gigabyte used, g = Total billing / Rate

g = $28.50 / $9

9g = 28.50

28.50 = 9 × g

g = 28.50 / 9

Option b.) 9/g = 28.5 is the incorrect way to calculate the additional gigabytes, g, that you used.

Answer:

9/g = 28.5

Step-by-step explanation:

It's attached to the image to show proof it's right

Answer:

y = (20-4x)/5

Step-by-step explanation:

5y = 20 - 4x

y = (20-4x)/5

Answer:

8.1.

Step-by-step explanation:

a^2+b^2=c^2

8^2+2^2=c^2

64+4

68

and you square root it and get 8.2 so i giras is 8.1

hope it helps.

Answer:

1. subtract 9 from z- z-9

2. add 9 and z - z+9

3. divide 9 by z - 9/z

4. multiply 9 by z - 9z

Step-by-step explanation:

Your welcome!

Brainliest Appreciated!

Answer:

Subtract 9 from z z-9

Add 9 and z   9+ z

divide 9 by z 9/z

multiply 9 by z 9z

P.S you screen is not pink  

Step-by-step explanation:

Answer:

22.5% Hope this helps

Step-by-step explanation:

Answer:

22.5%

Step-by-step explanation:

Answer and explanation:

Inductive reasoning is a method of reasoning whereby conclusion of an argument is based on specific observations or evidence that forms the premise of the argument. Inductive reasoning moves from observations to general conclusion unlike deductive reasoning.

B. The conjecture 0-3+5 -0 is incorrect

Given the above sequence of computations, we use inductive reasoning to predict the next computation

The correct next conjecture is

99999.3+5= 300002

Answer:

-3(9a + 4)

Step-by-step explanation:

Factor −3 out of −27a−12.... basically divide each term by -3

-3(9a + 4)... please check if by multiplying -3 you still get (-27a - 12)

Answer: 1.78 repeating

Step-by-step explanation:

Answer:

1 7/9

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Answer:

400

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

Answer: your answer is 400 yd's and please pick me for brainliest

Step-by-step explanation:

40 × 10 = 400

9514 1404 393

Answer:

  6x^2 +64x yd²

Step-by-step explanation:

The total horizontal width is ...

  w = (x -2) +(3x) = 4x -2 . . . yards

So, the width of the downward-extending leg at right is ...

  (4x -2) -(2x -2) = 2x

The total vertical height is ...

  10 yds + 40 yds = 50 yds

So, the height of the downward-extending leg at right is ...

  50 -3x . . . yards

__

Then the empty rectangle at upper right has an area of ...

  A = LW = (3x yds)(10 yds) = 30x yd²

and the empty rectangle at lower left has an area of ...

  A = LW = (2x -2 yds)(50 -3x yds) = -6x^2 +106x -100 yd²

__

The total area is the product of overall width and overall height, less the areas of the two empty rectangles:

  A = (4x -2 yds)(50 yds) -30x yd² -(-6x^2 +106x -100) yd²

  A = 6x^2 +64x yd² . . . . . area of the proposed parking lot

Answer:

infinite solutions

Step-by-step explanation:

-3v-2=-2-8v+5v

Combine like terms

-3v-2 = -2 -3v

Add 3v to each side

-3v-2+3v = -2 -3v+3v

-2 = -2

Since this is always a true statement, there are infinite solutions

Answer:

1/2 is the answer.......

Answer:

The original coordinate of

R is (-5, -5)

The new coordinate of

R is (-11, -11)

The translation rule is ( x - 6, y - 6)

The original coordinate of

U is (-5, 1)

The new coordinate of

U is (-5 - 6, 1 - 6)

which is

(-11, -5)

U' = (-11, -5)

Answer:

(x, y) --> (x – 6, y – 6); (–11, –5)

Step-by-step explanation:

Subtract 6 from both the x and y coordinates of U to get (-11, -5).

Answer:

1/1

100% as a fraction can be written as 1/1, which can be "simplified" to 1. In other words, 100% is the whole.

Hope this helps ^-^

Answer:

$125,263.10

Step-by-step explanation:

In order to calculate the total amount that each one of the children will receive we simply need to divide Mr. Jordan's total savings by the total amount of children that he has. This will evenly divide his savings to the children so that each one has the exact same amount.

501,052.40 / 4 = 125,263.10

Therefore, each of the four children will receive a grand total of $125,263.10

Answer:

Step-by-step explanation:

3% in a decimal is 0.03.