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kramer
2 years ago
10

The ratio of the angle measures in triangle BCR is 2:3:4. find the angle measures

Mathematics
2 answers:
Georgia [21]2 years ago
8 0

Answer:

40, 60, 80

Step-by-step explanation:

The sum of angles in all triangles is 180 degrees (assuming you are talking about Euclidean geometry). If 2:3:4 is the ratio then

2x + 3x + 4x = 180

9x = 180

x = 20

Now that we now what x is, we can find the respective angles by plugging the value of x in. The angles are 40, 60, and 80 respectively.

julia-pushkina [17]2 years ago
3 0

Answer:

40:60:80 (in accordance with 2:3:4, respectively)

Step-by-step explanation:

To solve this problem, we need to change the integers within the ratio to coefficients for new variables.

1) Convert 2:3:4 to 2x:3x:4x.

2) Add all of the variables and coefficients together (2x + 3x + 4x). We should end up with 9x in total.

3) Set the 9x equal to 180°, so 9x = 180° (180° being the number of degrees within a triangle).

4) Simplify this equation (180/9, 9x/9). We should get x = 20.

5) Substitute the x = 20 into the variables that we changed within the ratio, so 2(20):3(20):4(20). As a result, we get 40:60:80.

Since these angle measures successfully add up to 180° (40 + 60 + 80), we know we solved this problem successfully.

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2 years ago
A television network is deciding whether or not to give its newest television show a spot during prime viewing time at night. If
musickatia [10]

Answer:

a. The test statistic for this hypothesis would be z=1.71

b. Critical value at α = 0.10: z=1.282

c. Reject H0, the television network should not keep its current lineup.

d. H0: p ≤ 0.50; HA: p > 0.50

Step-by-step explanation:

We have to performa an hypothesis test on a proportion.

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The null hypothesis will state that both shows have the same proportion.

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The standard error of the proportion is:

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Then, the z-statistic can be calculated as:

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As the statistic is bigger than the critical value, it lies in the rejection region. The null hypothesis is rejected. There is evidence to support the claim that the proportion of viewers which support the new show is larger than 0.50.

4 0
3 years ago
Please help pic below
Sauron [17]
Well it depends what 'v' stands for

well all you need to do is replace the v with the number it stands for. For example if v=2 then the expression would be 4.2(2) - 5 - 6.5(2)
Then you use the order of operations. first you multiply

8.4 - 5 - 13

then you subtract from left to right 

8.4 - 5 = 3.4

3.4 - 13 =  -13 - 3.4 = -9.4

So IF v=2 (I used 2 as an example, V might not = 2 in your case) then the
answer will be -9.4  

I hope this helped you :3
8 0
3 years ago
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