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3 years ago

Plz help me ASAP!!!!

Mathematics

1 answer:

mixas84 [53]3 years ago

8 0

Answer:

a) Given

b) Given

c) Definition of Supplementary Angles

d) Same-side Interior Angles Theorem

e) Converse of the Same-side Interior Angles Theorem

Step-by-step explanation:

A flow proof is a way of organizing our thoughts and logical deductions about values in a math situation. We make statements and list underneath the reasons these statements are true. Reasons should include math theorems and definitions or any information that is "given" to us in the problem by being written there in it. We can see that a and b were both "given" in the problem.

We can add 40 and 140=180. This is the definition of supplementary angles. We also recognize by their positioning that they are on the same side of the transversal within what appears to be parallel lines. This is Same side interior Anges Theorem. FInally, because this theorem can be applied then the angles must be parallel. This is called the Converse of the Same Side Interioir Angle Theorem

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Mrs Alivia’s bathroom is in the shape of a rectangle with a width of 6 feet. Her kitchen is in the shape of a rectangle with a w

Vedmedyk [2.9K]

Answer:

1. The length of the bathroom is equal to its width. FALSE

2. Equation 2(x+6)=29 can be used to find the length of the bathroom, x.

TRUE

3. The legend of the bathroom is 11.5 feet. FALSE

4. The equation 2 x+6=29 can be used to find the length of bathroom, x.

FALSE

5. The length of the bathroom is 8.5 feet. TRUE

Step-by-step explanation:

Here, given:

The width of the bathroom = 6 feet

The width of the kitchen = 10.75 ft

The perimeter of the bathroom = 29 feet

Let us assume the length of the bathroom = k units

PERIMETER OF A RECTANGLE = 2 ( LENGTH + WIDTH)

Now, for the Mrs Avila's bathroom

29 feet = 2 (k + 6)

⇒ 29 = 2k + 12

or, 2 k = 29 - 12 = 17

⇒ k = 17/2 = 8.5 feet

So, the length of the bathroom = 8.5 units

Now, let us consider the given statements:

1. The length of the bathroom is equal to its width. FALSE

As here, Length= 8.5 units and width = 6 units

2. Equation 2(x+6)=29 can be used to find the length of the bathroom, x.

TRUE

3. The legend of the bathroom is 11.5 feet.

FALSE, the length of the bathroom is 8.5 units.

4. The equation 2 x+6=29 can be used to find the length of bathroom, x.

FALSE, the correct equation that can be used is 2x + 12 = 29

5. The length of the bathroom is 8.5 feet.

TRUE

5 0

4 years ago

Hhhheeeeellllllpppp no 13 and 14

laila [671]

Answer:

13. B. 24 cm²

14. y = 5⅝ (none of the options is correct)

Step-by-step explanation:

13. The figure is a trapezoid

Area of the trapezoid = ½(a + b)h

Where,

a = 3 cm

b = 5 cm

h = 6 cm

Area = ½(3 + 5)6

= ½(8)6

= 4*6

= 24 cm²

14. Area of the triangle = ½*b*h

The area is given to be 45 cm²

base (b) = 16 cm

height (h) = y

Plug in the values and solve for y

45 = ½*16*y

45 = 8y

Divide both sides by 8

45/8 = 8y/8

45/8 = y

5⅝ = y

y = 5⅝ (none of the options is correct)

5 0

3 years ago

What is the derivative of y = x^(lnx)? Show your solution.

aleksley [76]

Hello,

ln(y)=ln(x^(ln(x))=ln(x)*ln(x)=(ln(x))²

(ln(y))'=2ln(x)*1/x
(1/y)*y'=2ln(x) / x
y'=(2 ln(x) * x^(ln(x)) ) /x

4 0

3 years ago

Read 2 more answers

3. Michel invests $850 at 7%/a simple interest. How long will he

Kipish [7]

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2 years ago

Two cars are side by side. One is 3.9 meters long. The other is 6% shorter. How long is the second car?

GrogVix [38]

Answer:

3.66meters long

Step-by-step explanation:

since it's 6% shorter you calculate 3.9 times .94(which is basically 94 percent) which gives you 3.66 meters long

7 0

3 years ago