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3 years ago

Given: AD = CF

Mathematics

1 answer:

photoshop1234 [79]3 years ago

6 0

Answer:

The correct option is: C

Step-by-step explanation:

Since we are given steps so as to prove: AB=EF

1. AD = CF----- given

2. AD = AB + BC + CD

CF = CD + DE + EF ------ segment addition

3. AB + BC + CD = CD + DE + EF ------- Transitive Property of Equality

4. AB + BC = DE + EF

5. BC = DE ------ given

6. AB = EF ------- Subtraction Property of Equality

The reason for the fourth statement in the proof is Subtraction Property of Equality.

<em>" Since the side CD is added on both the sides of the equality; so we can subtract it from both the sides in order to obtain our statement 4 and proceed further " .</em>

Hence option C is correct.

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The shadows of two vertical poles were measured at the same time to be 6m and 15m long. If the first pole is 8cm long, find the

son4ous [18]

Answer:

20 cm

Step-by-step explanation:

Shadow of vertical poles : 6m ; 15m

Length of poles : 8cm ; h

8cm long pole = shadow length, 6m

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Using cross multiplication :

8cm * 15 m = h cm * 6m

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Height of second pole = 20cm

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3 years ago

What's the additive identity of 9

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3 years ago

a company owns two dealerships, both of which sell cars and trucks. the first dealership sells a total of 164 cars and trucks. t

OLEGan [10]

Answer:

294 cars.

Step-by-step explanation:

Let x be the number of cars and y be the number of trucks.

We have been given that the first dealership sells a total of 164 cars and trucks. We can represent this information as:

$x+y=164...(1)$

The second dealership sells twice as many cars and half as many trucks as the first dealership. So the number of cars sold by 2nd dealership will be 2x and number of trucks sold by 2nd dealership will be y/2.

Further, the 2nd dealership sold a total of 229 cars and trucks. We can represent this information as:

$2x+\frac{y}{2}=229...(2)$

We can see that total number of cars sold on two dealerships will be $x+2x=3x$ .

We will use substitution method to solve for x. From equation (1) we will get,

$y=164-x$

Substituting this value in equation (2) we will get,

$2x+\frac{164-x}{2}=229$

Now let us have a common denominator.

$\frac{4x}{2}+\frac{164-x}{2}=229$

$\frac{4x+164-x}{2}=229$

Upon multiplying both sides of our equation by 2 we will get,

$2\times \frac{4x+164-x}{2}=2\times 229$

$4x+164-x=458$

$4x+164-164-x=458-164$

$4x-x=458-164$

$3x=294$

Therefore, the total number of cars sold by two dealerships is 294.

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3 years ago

Evaluate the expression when x = 2, y = 3, and z = -4<br> 3X-2

leva [86]

Answer:4

Step-by-step explanation:

X= 2

3x= 3×2

3×2=6

6-2=4

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3 years ago

The length of a rectangle is 7 1/2 inches and the width is 4 3/4 inches. What is the ratio, using whole numbers, of the length t

Mariana [72]

Ratio is a division in its simplest form.
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In this case, convert the length and width into decimals.

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ratio of length to width is;
7.5/4.75 = 750/475

This can now be written as;
750 : 475
Dividing both sides by 25;

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3 0

3 years ago

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