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Slav-nsk [51]
3 years ago
11

Segments AB and CD bisect each other at point O. Prove that ∆ACD is congruent to ∆BDC.

Mathematics
1 answer:
Lerok [7]3 years ago
6 0

Answer:


Step-by-step explanation:

TO prove this we have to prove one of following.

SSS ( all three sides are equal )

SAS ( two sides and their middle angle is equal )

ASA ( two angles and their middle side are equal )

I am proving both triangles equal by ASA method.

The complete proof and explanation is given in attachment below.


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A grocery store has 164 shelves for bottled goods. Each shelf can hold 23 bottles. How many bottles will the shelves hold in all
satela [25.4K]

Answer:

3,772 bottles.

Step-by-step explanation:

To find the answer to this question, you want to multiply the two values.

There are 164 shelves and each shelve holds 23 bottles.

164 x 23 = 3,772

So, the shelves can hold a total of 3,772 bottles.

5 0
2 years ago
Solve. 2x2 + 14x = −24 A) x = 2, x = 3 B) x = 3, x = 4 C) x = −2, x = −3 D) x = −4, x = −3
Aleksandr [31]

Answer:

<em>Answer is option d</em><em>)</em><em> </em><em>x</em><em> </em><em>=</em><em> </em><em>-4</em><em> </em><em>,</em><em> </em><em>x</em><em> </em><em>=</em><em> </em><em>-3</em>

Step-by-step explanation:

given \: equation \: is \\ 2 {x}^{2}  + 14x =  - 24 \\ 2 {x}^{2}  + 14x + 24 = 0 \: \\  dividing \: this \: equation \: by \: 2 \: we \: get \\  {x}^{2}  + 7x + 12 = 0 \\ by \: factorization \\ (x + 4)(x + 3) = 0 \\ x =  - 4 \:  \:  \:  \:( or) \:  \:  \: x =  - 3

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em> </em>

4 0
3 years ago
Hawick is 1515 miles south of Abbotsford, and Kelso is 1717 miles east of Abbotsford. What is the distance from Hawick to Kelso?
Mashcka [7]

Answer:

As per the statement:

Hawick is 15 miles south of Abbotsford, and Kelso is 17 miles east of Abbotsford.

Let  H represents  Hawick , A represents Abbotsford and K represents Kelso

See the diagram as shown below:

Distance of AH = 15 miles

Distance of AK = 17 miles.

We have to find the distance HK:

Using Pythagoras theorem;

\text{Hypotenuse side}^2 = \text{Adjacent side}^2 + \text{opposite side}^2

then;

\text{HK}^2 = 15^2+17^2 = 225 + 289 = 514

or

HK = \sqrt{514} =22.671581 miles.

Therefore, the distance from Hawick to Kelso( to the nearest tenth place) is 22.6 miles

5 0
3 years ago
Read 2 more answers
-3x-6+(-1) please help me
Sauron [17]

Answer:

I think its -3x-7



4 0
4 years ago
Working together,edith and rupert can pick 3 quarts of blueberries in an hours.how many quarts can they pick in 7 hours?
expeople1 [14]
Since they pick 3 quarts in 1 hour they can pick 6 quarts in 2 hours and 9 quarts in 3 and so on. So the number of quarts they can pick in a certain amount of hours is just the total number of hours they spend picking times 3 quarts. So since they picked for 7 hours and each of those hours they picked 3 quarts, in total they picked 21 quarts

7 x 3 = 21 quarts
3 0
3 years ago
Read 2 more answers
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