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Oksi-84 [34.3K]
3 years ago
10

Fill in the following 5 statements and 5 reasons used to complete this proof.

Mathematics
1 answer:
Allisa [31]3 years ago
5 0

Answer:

AD ≅ CD.

Step-by-step explanation:

Statement : consider triangles ADB and DBC.

1) AB = CD

2) ∠ABD = ∠DBC

3) DB = DB

4) ⇒ ΔADB and ΔDBC are congruent triangles.

5) AD = DC.

Reasons ;

1) given, AB = CB

2) given, DB bisects ∠ ABC

3) common side of both triangles

4) as two sides and one angle are equal in both triangles

5) congruent triangles

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madam [21]

Answer:

-8

Step-by-step explanation:

(x-3y=136) + (18x+3y=288) We collect both processes to make y's disappear

19x=-152

x=-8

5 0
3 years ago
For every 9 black and white copies printed there are 2 color copies printed. If there are 200 color copies printed how many blac
alexandr402 [8]

Answer:

<u>900</u> black and white copies are printed.

Step-by-step explanation:

Given:

For every 9 black and white copies printed there are 2 color copies printed.

If there are 200 color copies printed.

Now, to find the number of black and white copies are printed.

Let the number of black and white copies printed be x.

As given, for every 9 black and white copies printed there are 2 color copies printed.

So, 9 is equivalent to 2.

If there are 200 color copies printed.

Thus, x is equivalent to 200.

Now, to solve by using cross multiplication method:

\frac{9}{2} =\frac{x}{200}

<em>By cross multiplying we get:</em>

1800=2x

<em>Dividing both sides by 2 we get:</em>

900=x

x=900.

Therefore, 900 black and white copies are printed.

8 0
3 years ago
Read 2 more answers
A landscaper wishes to make a rectangle flower garden that is twice as king as it is wide. Express the area of the garden as a f
Dima020 [189]

Answer:

L = 2w

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Step-by-step explanation:

7 0
3 years ago
Juliette made cookies for a bake sale and wants to package the same number of cookies together. If she makes 16 chocolate chip c
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Answer:

8 cookies

Step-by-step explanation:

We are asked in the above question to find the most number of cookies that would be in the bag.

We solve the above question using the Greatest Common Factor method

We find the factors of 16, 24, 32

The factors of 16 are: 1, 2, 4, 8, 16

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

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Then the greatest common factor is 8.

Therefore, the most number of each type of cookie that will be in the bag is 8 cookies

4 0
3 years ago
Consider the graph.
Arlecino [84]

Answer:

C, f(x) = 2x + 6

Step-by-step explanation:

First, we need to plug in the values of the x coordinates and see if it matches with the y coordinate to determine if it is on the same line. Startin with 2x + 8, we have the point (1, 8) on the graph. Plugging in 1 gets you 10 for the y. This is wrong since 8 is the y coordinate. Moving on, we have 6.4(1.25)^x for the same point. Plugging in 1, we have 6.4 * 1.25 = 8, which is true. Moving on to the second point, (2, 10), we have 1.25 squared times 6.4. This is thus wrong. So, moving on to 2x + 6, we have the point (1, 8), and plugging in 1 for x, we have 8 as y. Since this satisfies the equation we move on to the next point, (2,10). Plugging in x, we have 2 * 2 + 6 = 10, which is also true. Moving on to our third point (3 , 12), we plug in 3 for x. We then get 3 * 2 + 6 = 12, which is correct. This, is our answer then.

5 0
3 years ago
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