Lauren is building a tree house with her dad. the dimensions of the floor are 9 feet by 6 feet. what is the area of the floor, measured in the square yards?A. 6 square yards
B. 15 square yards
C. 30 square yards
D. 54 square yards

Answer:

the slope of the line is , and the y-intercept occurs at y = -6  (0, -6) on the plane

Step-by-step explanation:

In order to find the slope and y-intercept, we need to solve for y in the equation, and look at the coefficient accompanying the term in "x" (the slope), and at the pure numerical term (y-intercept):

Therefore the slope of the line is , and the y-intercept occurs at y = -6  (0, -6) on the plane

Answer:

There are 13 families had a parakeet only

Step-by-step explanation:

* Lets explain the problem

- There are 180 families

- 67 families had a dog

- 52 families had a cat

- 22 families had a dog and a cat

- 70 had neither a cat nor a​ dog, and in addition did not have a​

 parakeet

- 4 had a​ cat, a​ dog, and a parakeet (4 is a part of 22 and 22 is a part

 of 67 and 520

* We will explain the Venn-diagram

- A rectangle represent the total of the families

- Three intersected circles:

 C represented the cat

 D represented the dog

 P represented the parakeet

- The common part of the three circle had 4 families

- The common part between the circle of the cat and the circle of the

 dog only had 22 - 4 = 18 families

- The common part between the circle of the dog and the circle of the

 parakeet only had a families

- The common part between the circle of the cat and the circle of the

 parakeet only had b families

- The non-intersected part of the circle of the dog had 67 - 22 - a =

  45 - a families

  had dogs only

- The non-intersected part of the circle of the cat had 52 - 22 - b =  

  30 - b families

  had cats only

- The non-intersected part of the circle of the parakeet had c families

  had parakeets only

- The part out side the circles and inside the triangle has 70 families

- Look to the attached graph for more under stand

∵ The total of the families is 180

∴ The sum of all steps above is 180

∴ 45 - a + 18 + 4 + 30 - b + b + c + a + 70 = 180 ⇒ simplify

- (-a) will cancel (a) and (-b) will cancel (b)

∴ (45 + 18 + 4 + 30 + 70) + (-a + a) + (-b + b) + c = 180

∴ 167 + c = 180 ⇒ subtract 167 from both sides

∴ c = 180 - 167 = 13 families

* There are 13 families had a parakeet only

again, we're assuming that both triangles are similar, and thus using proportions.

we do not use the -10, because whatever value "x" may be, can't be negative or even 0.

Answer:

the additional info required is - the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle.

Step-by-step explanation:

As given , RST and angle TUR are right angles.

So the triangles are right angle triangles.

If the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent.

So, the additional info required is - the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle.

Final answer:

To prove that angle RST and angle TUR are congruent, we need the additional information that the length of the sides RS and TU are equal.

Explanation:

In order to prove that angle RST and angle TUR are congruent, we need the additional piece of information that the length of the sides RS and TU are equal. This is because congruent right angles must have congruent sides.

Learn more about Congruent Angles here:

brainly.com/question/33500921

#SPJ11

Answer:

Yes

Step-by-step explanation:

If the diagonals are perpendicular, then the slope of AC will be the opposite reciprocal of the slope of BD.

The slope of AC is:

m = (3 − 3) / (6 − 0) = 0

The slope of BD is:

m = (0 − 6) / (3 − 3) = undefined

The opposite reciprocal of 0 is undefined, so the diagonals are indeed perpendicular.

Specifically, AC is horizontal and BD is vertical.

Answer:

The mean height is 69 inches

Step-by-step explanation:

Add all of the values and divide by the number of terms

Mean is the averagevalue of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

The meanheight of the Basketballteam is 69.

What is a mean?

It is the averagevalue of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

We have,

Basketball Team Heights

70 68 72 66 68

69 66 71 74 66

Sum of all the heights.

= 70 + 68 + 72 + 66 + 68 + 69 + 66 + 71 + 74 + 66

= 690

Number of heights = 10

Now,

The mean of the heights.

= 690/10

= 69

Thus,

The meanheight of the Basketballteam is 69.

Learn more about mean here:

brainly.com/question/23263573

#SPJ6