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Anastasy [175]
2 years ago
6

HELP Given: ABCD is a parallelogram and AC bisects BD. Prove: AC bisects

Mathematics
1 answer:
34kurt2 years ago
8 0

2) ABCD is a rhombus (a parallelogram with perpendicular diagonals is a rhombus)

3) \overline{AC} bisects \angle BCD (diagonals of a rhombus bisect the angles from which they are drawn)

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Ryan flew from Wiley Post to Ponca City and back. Ryan maintained an average rate of 450 mph going to Ponca City and an average
Reil [10]
The answer is B, and here's why.  Set up a table for "there" and "back" and use the distance = rate * time formula, like this:
               d             r            t
there       d           450         t
back        d           400        1-t

Let me explain this table to you.  The distance is d, we don't know what it is, that's what we are actually looking for.  We only know that if we go somewhere from point A to point B, then back again to point A, the distance there is the same as the distance back.  Hence, the d in both spaces.  There he flew 450 mph, back he flew 400 mph.  If the total distance was 1 hour, he flew an unknown time there and one hour minus that unknown time back.  For example, if he flew for 20 minutes there, one hour minus 20 minutes means that he flew 60 minutes - 20 minutes = 40 minutes back.  See? Now, because the distance there = the distance back, we can set the rt in both equal to each other.  If d = rt there and d = rt back and the d's are the same, then we can set the rt's equal to each other.  450t = 400(1-t) and
450t = 400 - 400t and 850t = 400.  Solve for t to get t = .47058.  Now, t is time, not the distance and we are looking for distance. So multiply that t value by the rate (cuz d = r*t) to get that the distance one way is
d = 450(.470580 and d = 211. 76 or, rounded like you need, 212.
4 0
3 years ago
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 4 to 7. If there were 5
Kipish [7]
4/7 = y/5019....with y being yes votes
cross multiply
(7)(y) = (4)(5019)
7y = 20076
y = 20076/7
y = 2868 <=== yes votes

total of yes and no votes : 5019 + 2868 = 7887
8 0
3 years ago
Multiply 3x (2x - 1)​
Volgvan

Answer:

6x^2 - 3x

6x^2-3x

Step-by-step explanation:

3x (2x-1)

multiply 3x by 2x -> 6x^2

multiply 3x by -1 -> -3x

6 0
2 years ago
Read 2 more answers
Write each expression without the absolute value symbol |3x+12|
klasskru [66]

Answer:

Step-by-step explanation:

|3x+12|

one is as it is                                     one is the negative value of it

3x + 12                                                   - (3x + 12)

                                                               - 3x - 12

That is because both negative and positive values put in am absolute value become positive.

3 0
2 years ago
Kerri has a germen shepherd that has a mass of 30,000 grams. how many kilograms is 30,000 grams
wolverine [178]
Answer: 30 kilograms

explanation: Each 1000 grams converts to 1 kilogram
8 0
2 years ago
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