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myrzilka [38]
3 years ago
6

How can i solve this

Mathematics
1 answer:
lana66690 [7]3 years ago
8 0
X+3-2x+5=10
+2x +2x
3x+ 3 + 5 = 10
-3 -3
3x + 5 = 7
-5 -5
3x=2
x=1.5
I hope all is well, and I helped! (: Good luck, rockstar!
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If the measure of arc DEF is 248°, what is the measure of ∡DEF?
HACTEHA [7]
The figure attached has <DEF which is an inscribed angle. An inscribed angle is an angle with its vertex on the circle which is formed by two intersecting chords. According to formulas, the measurement of arc DF is twice the measurement of ∡DEF. Arc DF is equal to 360-248 or 112. Hence <span>∡DEF is equal to 56 degrees.</span>
7 0
3 years ago
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Which of the following three dimensional objects has a rotational symmetry about a line
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Answer choices:

A. a car

B. a set of rectangular stairs

C. a rolling pin

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4 years ago
If a jogger jogs 6 kilometers in 45 minutes what is his speed
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45 minutes = 3/4 hours

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6 0
3 years ago
You have a bag full of apples. There are 8 Jonathan (red), 4 Granny Smith (green), and 5 Golden Delicious (yellow) apples in the
vredina [299]

Answer:

Step-by-step explanation:

There are 8 Jonathan (red), 4 Granny Smith (green), and 5 Golden Delicious (yellow) apples in the bag.

a) Select 3 apples with replacement. Find the probability that all there are green.

  • Given that we are taking all apples with replacement, the probability of getting a green apples remains the same in all 3 trials. Therefore the probability here is computed as:

  • = (Number of green apples/Total apples)
  • = (4/17)^3
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Therefore 0.0130 is the required probability here.

b) Select 3 apples with replacement. Find the probability that none are red

Probability that none are red is computed here as:

  • = (Number of non red apples/Total apples)
  • = (9/17)^3
  • = 0.14838

Therefore 0.14838 is the required probability here

c) Select 4 apples with replacement. Find the probability that you get at least 2 red apples

  • Probability that we get at least 2 red apples when 4 apples are drawn is computed here as:
  • = 1 - (Probability that no red apple is taken out when 4 apples are taken out + Probability that 1 red apple is taken out when 4 apples are taken out)
  • = 1 - 8C0 x 9C4 + 8C1 x 9C3 / 17C4
  • = 1 - 0.3353
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Therefore 0.6647 is the required probability here

d) Select 2 apples with replacement. Find the probability that the second apple is yellow given that the first apple is red.

  • Given that the first apple is red, we are left with 16 apples out of which 5 are yellow. Therefore the required probability here is computed as:
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Therefore 0.3125 is the required probability here

3 0
3 years ago
How to solve this geometry?<br> Step by step solution please.
Dahasolnce [82]

This is a relatively complex problem and it took me a good 20 minutes to solve, I included a sketch I made myself while im solving this problem hope it helps with the explanation. (the dotted lines are my drawings, also I labeled the points just look at my graph)

Now to find <x, we can use the exterior angles theorem a couple of times.

<x=<p+<AGE

<x=30 degrees + <AGE

Now use the theorem again to find <AGE

<AGE=<q+<BIG

Now use substitution for <q and for <AGE

<x=30 degrees+60 degrees+ <BIG

We put this to the side for now and try solve for <CHD which is not very difficult

<CHD=180-45-20=115

We can also clearly figure out <HFI using vertical angles theorem.

<HFI=<Y

Because they all form a triangle we can conclude that <y+<BIG=180 degrees-<FHI= 180-115=65 degrees

substitution again

<x+<y=30+60+<BIG+<HFI (remember <HFI = <y vertical angles theorem)

<x+<y=30+60+65 (remember how we did before these 2 angles adds up to 65?)

<x+<y=155 degrees

Now please don't hate me on this, I'm sure there is more efficient ways to explain this problem, this is just my way from trial and error.

<u>Tip for next time you are stuck on a geometry problem, don't be afraid to draw the graph again on paper and add lines to it!</u>

<u>You won't get everything perfect the first time you try but the more you practice the more comfortable you are with these problems, Hope my explanation helped!</u>

<u></u>

<u></u>

**Just a note would you mind telling me where you got this problem form, its pretty challenging :)

8 0
3 years ago
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