Serious answers only :) 30 points!

Answers

Answer 1

Answer: Okay, using the pythagorean theorem, we can see that the side the both triangles share is... 3.2.

Using the pythagorean theorem again, we do

a^2+b^2=c^2

(3.2)²+a²=6²
10.24+a²=36
a²=25.76

√a²=√25.76
a=5.07543≈ 5.1

Hope this helps!

Answer 2

Answer: I believe the answer is 5.1

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Which expression is equivalent to 28 + 12? (1 point) 4(7 + 3) 4(24 + 8) 7(4 + 12) 7(21 + 5)

Answers

Answer:

4(7+3)

Step-by-step explanation:

28 and 12 are both divisible by 4.

28 ÷ 4 = 7

12 ÷ 4 = 3

Answer:

4(7+3)

Step-by-step explanation:

4(7) = 28

4(3)= 12

28+12=28+12

Hope this helps!

Lindsay paid $4.40 for 1 gallon of ice cream. At this rate, what 1 quart cost? What would 1 pint cost? Please explain.

Answers

each pint would cost 55 cents if u divide 1.10 by two because I think that there are two pints in one quart.

Which quadrilateral has four right angles and four sides of equal length?

Answers

Answer:

Square.

Step-by-step explanation:

A square is a rectangle, but a rectangle is not a square.

Answer:

A square

Step-by-step explanation:

The file below can help you out understand the properties of the square better!

Bianca and Meredith are sisters. Meredith's height is 23 of Bianca's height plus 32 inches. Meredith is 60 inches tall. A girl is sixty inches tall. Write an equation to find Bianca's height, x, in inches.

Answers

Answer:

Bianca's height = 42 inches

Step-by-step explanation:

Let x be the Bianca height.

Given:

Meredith height = 60 inches

We need to find the Bianca height.

Solution:

From the given statement the Meredith's height is $(2)/(3)$ of Bianca's height plus 32 inches, so the equation is.

Meredith's height = $(2)/(3)(Bianca\ height)+32$

Substitute Meredith's height in above equation.

$60=(2)/(3)x+32$

Now we solve the above equation for x.

$(2)/(3)x=60-32$

$(2)/(3)x=28$

By cross multiplication.

$x=(3* 28)/(2)$

28 divided by 2.

$x= 3* 14$

$x=42\ in$

Therefore, the height of the Bianca is 42 inches.

A student bought a juice pouch for $2.50 and 3 bags of chips . The total cost was $5.05 write and solve an equation to determine the cost of a bag of chips

Answers

You have to subtract $2.50 and $5.05 then you divide that with 3 and you should get $0.85

Do 5.05 minus 2.50 and your would get 2.55 then you would divide that by 3 and you would get 85 cents per bag of chips

If the area of ABC is 20 cm2, what is the area of PQR? Show your work.

Answers

Since the triangles are similar, the first thing to do is find the scale factor.
We have then:
k = 6/4 = 3/2
Then, the area will be given by:
A '= k ^ 2 * A
Substituting values:
A '= ((3/2) ^ 2) * (20)
A '= 45 cm ^ 2
Answer:
The area of PQR is:
A '= 45 cm ^ 2

Answer:

Area of ΔPQR = 45 cm²

Step-by-step explanation:

From the given figure we can see that triangle ABC and triangle PQR are similar triangles.

If two triangles are similar the the ratio of area of two triangle is equal to the square of ratio of corresponding sides

To find the area of triangle PQR

Ar(ABC) = 20, AB = 4 cm and PQ =6 cm

From figure we can write,

Ar(ABC)/ar(PQR) = (AB/PQ)²

20/ar(PQR) = (4/6)²

20/ar(PQR) = 16/36

ar(PQR) = (36 x 20)/16 = 45 cm²

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John wants to fence in a portion of his back yard. The dimensions of the area is 12 1/2 yards long and 5 1/2 yards wide. How many feet of fencing does john need to buy to enclose this area?

Describe one way you could read the expression 0.50 x (24 + 8)