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MatroZZZ [7]
3 years ago
6

Can someone please help me on 3,4, and 5

Mathematics
2 answers:
alexandr1967 [171]3 years ago
8 0
A=45 b=60 c=90 I think
mamaluj [8]3 years ago
3 0

This is algebra and rearranging equations.

Let's start with question 3. The sum of all the angles in the triangle is 180 degrees. Therefore, 45 + 2k + k = 180. We can solve this:

180 - 45 = 3k by rearranging the equation so 135 = 3k, so k = 135/3 = 45 degrees. We can now see that the triangle is isosceles, with two angles being both 45 degrees.

The other two follow the same process:

4: a + 2a + 2a+ a = 360 so 6a = 360

a = 360/6 = 60 degrees

5: b + 3/2 b+ (b+45) + (2b-90) + 90 = 540

5b + 1/2b + 45 = 540 (because the -90 and +90 cancel each other out)

so 5 1/2b = 495

b = 90

If you use each letter and substitute in the values into the angles, you will find that they all add up to the sum of angle measures of each shape.

Hope I helped!

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A box contain 12 balls in which 4 are white 3 are blue and 5 are red.3 balls are drawn at random from the box.find the chance th
Anastasy [175]

Answer:

3/11

Step-by-step explanation:

From the above question, we have the following information

Total number of balls = 12

Number of white balls = 4

Number of blue balls = 3

Number of red balls = 5

We solve this question using combination formula

C(n, r) = nCr = n!/r!(n - r)!

We are told that 3 balls are drawn out at random.

The chance/probability of drawing out 3 balls = 12C3 = 12!/3! × (12 - 3)! = 12!/3! × 9!

= 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1/(3 × 2 × 1) × (9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)

= 220 ways

The chance of selecting 3 balls at random = 220

To find the chance that all the three balls are selected,

= [Chance of selecting (white ball) × Chance of selecting(blue ball) × Chance of selecting(red balls)]/ The chance/probability of drawing out 3 balls

Chance of selecting (white ball)= 4C1

Chance of selecting(blue ball) = 3C1 Chance of selecting(red balls) = 5C1

Hence,

= [4C1 × 3C1 × 5C1]/ 220

= 60/220

= 6/22

= 3/11

The chance that all three are selected is = 3/11

4 0
3 years ago
Why is - x < 3 equivalent to x > - 3? Provide a convincing argument.
AlexFokin [52]

Answer:

-x<3 is the same as x>-3 because when you divide -x<3 by -1 on both sides it ends up as x>-3. (They're the same thing just one isn't simplified.)

Step-by-step explanation:

8 0
2 years ago
2748 mile flight 6 hours
Karo-lina-s [1.5K]
We Know, speed = Distance / Time
Here, Distance = 2748 miles
Time = 6 hours

Substitute their values in to the expression,
Speed = 2748 / 6 = 458 Miles / Hour

So, the speed would be: 458 miles/hour

Hope this helps!
7 0
3 years ago
Factor: m^2 - 20m - 21
Ganezh [65]

(m-21) (m+1)there I thinks it's right unless I messed up my work

6 0
3 years ago
Read 2 more answers
Find the area of each circle. Round to the nearest tenth if necessary. Use 3.14 for pi
vlada-n [284]
153.94 I believe :) :)
7 0
3 years ago
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