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Travka [436]
3 years ago
13

Find the measure of arc DF (with an explanation of how to solve please!)

Mathematics
1 answer:
allochka39001 [22]3 years ago
4 0

Answer:

mDF = 90°

(Assuming arc mCE is 5x + 10)

Step-by-step explanation:

When we have two chords crossing in a circle, there is a property where the angle in the cross point is equal half the sum of the corresponding arcs.

So in this case, we have:

70° = (mCE + mDF)/2

Assuming mCE is 5x + 10, we have:

70 = (5x + 10 + 11x + 2)/2

70 = (16x + 12)/2

70 = 8x + 6

8x = 64

x = 8

So the arc mDF is:

mDF = 11x + 2 = 11 * 8 + 2 = 90°

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The sum of three consquetive odd number is 177. Find the numbers.
beks73 [17]

Answer:

57, 59, and 61.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Mr. Fishie bought a tank for $15 and 10 fish which cost $f each. If he gave the cashier two 20-dollar bills, what was his change
Gnesinka [82]

Answer:

$25 - $10f

Step-by-step explanation:

Fishie's name is fishy.  

We know Mr. Fishie spent $15 on a tank.  His 10 fish cost 10*$f.  His total is:

Total =15 + 10*f

His change after 2 $20 would be:

$40 - ($15 - $10f), or

$25 - $10f

3 0
2 years ago
there are two sizes of red and blue marbles in a box. Of the big marbles in the box, 45 are red and 3/4 are blue. The fraction o
nikklg [1K]
Big marbles = 45red 3/4 blue
Small marbles = 2/5 red    3/5 blue    24 more small blue mabrles than red marbles
What percentage of the marbles are big marbles

First of all lets working out the missing values: 
Big Marbles, 45 red, 3/4 blue. If 45 red is 1/4, then 135 (45*3) is 3/4.
Big Marbles, 45 red, 135 blue = 180 in total

For the small marbles, we do some logical thinking:
If red is 2/5, and blue is 3/5. And blue has 24 more than red.
That means 24 = 1/5
So in total there are 120 small marbles (24*5)
There are 180 big marbles 
We add these together, 120 + 180 = 300 marbles
180 / 300 = 0.6 = 60%
^ Divide the big marbles by the number of total marbles

60% of the marbles are big marbles

<u>Please vote my answer brainliest if I helped!</u>
3 0
3 years ago
X&lt;9.7 on a line graph
fiasKO [112]
The inequality x < 9.7 tells us x needs to smaller than 9.7.
A number like 5 will be fine. Because 5 < 9.
But someone like 10 won't be fine.
Because 9 < 10.

Even 9.7 won't be suffice.

Because 9.7 < 9.7 does not make sense. If it was 9.7 <= 9.7 then it would be fine.
4 0
2 years ago
About 7​% of the population of a large country is math phobic. If two people are randomly​ selected, what is the probability bot
ss7ja [257]

Answer:

What is the probability both are math phobic​? 0.49%

What is the probability at least one is math phobic​? 9.31%

Step-by-step explanation:

In order to both be math phobic, both individuals has to be inside of the probability of 7%, that means 0.07*0.07 = 0.0049 = 0.49%

In order to at least one be math phobic there's some cases which satisfies the sentence:

Individual A is math phobic and B as well = 0.07*0.07 = 0.0049 = 0.49%

Individual A is math phobic, but B is not = 0.07*0.63 = 0.0441 = 4.41%

Individual A is not, but B is math phobic = 0.63*0.07 = 0.0441 = 4.41%

Suming the 3 possibles cases, the probability at least one is math phobic​

= 9.31%

7 0
3 years ago
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