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3 years ago

What belongs in the box marked with the question mark in the proof below? PLEASE HELP ME !!!!!

Mathematics

2 answers:

Ymorist [56]3 years ago

8 0

Answer:

m∠3 = 90° is derived in (2)

Step-by-step explanation:

In this step, a fact derived in step 2 is substituted.

Advocard [28]3 years ago

4 0

Answer:

Replace m<3 = 90 . Derived from applying statement (2) in statement (4)

Step-by-step explanation:

The exercise is a one by one step proof of complementary angles. As in statement 2 we have proven that m<3 is 90 degrees and in statement 4 that m<1+m<2+m<3 is 180 degrees, we only need to replace statement 2 conclusion into statement 4 conclusion , as there in no reason for any further proof.

In the next reasons we must prove that the other angles measure 90 degrees which will allow us to conclude that both angles are complementary ( sum 90 degrees).

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Solve the system of linear equations. 3x + 5y = -2 2x - y = 3

natita [175]

Answer:

3x + 5y = -2 is x= −5 /3 y+ −2 /3

2x - y = 3 is x= 1 /2 y+ 3 /2

Step-by-step explanation:

7 0

2 years ago

Erin is pouring cake batter into a pan. The pan she is using is 8 inches wide,

sergey [27]

Answer:

242.52 cubic inches

Step-by-step explanation:

Volume of the cake pan = Length × Width × Height

From the about question, we have the following dimensions for the cake pan

8 inches wide = Width

11 inches long = Length

7 cm deep = Height

We are asked to find the maximum volume in inches. Hence all the dimensions have to be in inches.

Converting Height in cm to inches

From the question,

2.54 cm = 1 inch

7cm = x inch

Cross Multiply

2.54 × x = 7 × 1

x = 7/2.54

x = 2.7559055118 inches

Volume of the cake pan =

8 × 11 × 2.7559055118

= 242.51968504 cubic inches

Approximately, the volume of the cake pan = 242.52 cubic inches

What is the maximum volume, in cubic

inches, the cake pan can hold is 242.52 cubic inches

3 0

3 years ago

Line t intersects line u as shown below What is the value of x

Rudiy27

Answer:

x = 117 degrees

Step-by-step explanation:

Find the diagram attached

From the diagram, the angle at the top left on line t is equal to theta of the top left on line u and is equal to 117 degrees (corresponding angle)

Also the angle angle on the top left on line u will be equal to x (vertically opposite angle)

Hence the value of x = 117 degrees (vertically opposite to each other on line u)

5 0

3 years ago

Angle relationships

maksim [4K]

Wdym? Can you be more specific?

7 0

3 years ago

Read 2 more answers

Length of a rectangle is 5 cm longer than the width. Four squares are constructed outside the rectangle such that each of the sq

stiv31 [10]

Answer:

Step-by-step explanation:

Remark

This is one of those questions that can throw you. The problem is that do you include the original rectangle or not. The way it is written it sounds like you shouldn't

However if you don't the question gives you 2 complex answers. (answers with the sqrt( - 1) in them.

Solution

Let the width = x

Let the length = x + 5

Area of the rectangle: L * w = x * (x + 5)

Area of the smaller squares (there are 2)

Area = 2*s^2

x = s

Area = 2 * x^2

Area of the larger squares = 2 * (x+5)^2

Total Area

x*(x + 5) + 2x^2 + 2(x + 5)^2 = 120 Expand

x^2 + 5x + 2x^2 + 2(x^2 + 10x + 25) = 120 Remove the brackets

x^2 + 5x + 2x^2 + 2x^2 + 20x + 50 = 120 collect the like terms on the left

5x^2 + 25x + 50 = 120 Subtract 120 from both sides.

5x^2 + 25x - 70 = 0 Divide through by 5

x^2 + 5x - 14 = 0 Factor

(x + 7)(x - 2) = 0 x + 7 has no meaning

x - 2 = 0

x = 2

Perimeter

P = 2*w + 2*L

w = 2

L = 2 + 5

L = 7

P = 2*2 + 2 * 7

P = 4 + 14

P = 18

8 0

3 years ago