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dmitriy555 [2]
3 years ago
10

What is the value of X in this?

Mathematics
2 answers:
dimulka [17.4K]3 years ago
7 0

Answer: 52°

Step-by-step explanation: In this problem, we're asked to use the diagram shown to find the value of <em>x</em>.

Since the two lines in the figure intersect,  we know that they form vertical angles and remember that vertical angles are congruent.

Since our diagram tells us that one angle measures (x + 35)° and the measure of the other angle is (3x + 1)° and we know that these angle measures are equal, we can setup the equation x + 35 = 3x + 1.

Solving from here, we subtract x from both sides to get 35 =2x + 1

and subtracting 1 from both sides we have 34 = 2x.

Now dividing both sides by 2, we find that 17 = x.

Now, we plug a 17 back into one of our angles.

So let's do (x + 35)°

Plugging in a 17, we have (17) + 35 or 52°.

topjm [15]3 years ago
6 0

Answer:

x=17

Step-by-step explanation:

The vertical angle theorem states that these two angles are congruent.

So,

x+35=3x+1

35-1=3x-x

34=2x

x=17

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jeka57 [31]

Answer:

x<-3

Step-by-step explanation:

-2(x+1)+6x<-14

Distribute

-2x-2 + 6x < -14

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Add 2 to each side

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dybincka [34]

Answer:

a) No

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Step-by-step explanation:

We are given the following in the question:

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First, we design the null and the alternate hypothesis

H_{0}: \mu = 12\text{ ounces}\\H_A: \mu < 12\text{ ounces}

We use One-tailed z test to perform this hypothesis.

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Since, p-value > α,

The null hypothesis should not be rejected. We accept the null hypothesis and reject the alternate hypothesis. We conclude that the average chip weight is 12 ounces per bag.

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Since, p-value > α,

The null hypothesis should not be rejected. We accept the null hypothesis and reject the alternate hypothesis. We conclude that the average chip weight is 12 ounces per bag.

c) The evidence is statistically significant at the .05 level means that the p value is more than 0.05.

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Answer:

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Step-by-step explanation:

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