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balandron [24]
3 years ago
15

What is the value of x?

Mathematics
2 answers:
Marysya12 [62]3 years ago
5 0

Answer:

x = 48°

Step-by-step explanation:

All triangles' angles will add to 180°. Since we have a triangle with a missing angle in this problem, we can use this rule.

As an equation for this problem (adding all angles will give 180°)

V + P + M = 180°

We already know the measures for angle V (47°) and angle P (85°). Angle M is "x". Substitute these numbers into the equation.

V + P + M = 180

47 + 85 + x = 180

132 + x = 180        Added 47 and 85

132 - 132 + x = 180 - 132        Subtract 132 from both sides to isolate 'x'

x = 180 - 132        Subtract

x = 48        Solved for x

Therefore x is 48.

Inessa [10]3 years ago
4 0

Answer:

Step-by-step explanation:

There are 180 degrees in a triangle. With that information we can make the equation: 180=(47+85)+x.

When you solve it becomes:

180=132+x --> x=48 degrees

Hope that helped!

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Answer: 5/3

Step-by-step explanation:

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(5/3)(3/5)x = (5/3)12

x = 20

Therefore, choose Option D: 5/3

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3 years ago
A survey of 340 randomly chosen US adults found that 60% of the 150 men and 50% of the 190 women ran a five-kilometer race durin
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Answer:

The p-value is less than the significance level, so we will reject the null hypothesis, and conclude that at 5% significance level, the proportion for women that ran 5 km is more than the proportion of male that ran the 5 km. Thus, women are more likely to run the 5 km race.

Step-by-step explanation:

We are given;

Number of males selected; n₁ = 150

Number of females selected; n₂ = 190

Proportion of the males; p₁ = 0.6

Proportion of females; p₂ = 0.5

Let's define the hypotheses;

Null hypothesis; H0: p₁ ≥ p₂

Alternative hypothesis; Ha: p₁ < p₂

Now, the z score formula for this is;

z = (p₁ - p₂)/√(p^(1 - p^))(1/n₁ + 1/n₂))

Where;

p^ = (p₁ + p₂)/2

p^ = (0.6 + 0.5)/2

p^ = 0.55

Thus;

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From online p-value from z-score calculator attached, using z = 1.84, significance level = 0.05, one tailed hypothesis, we have;

P-value = 0.033

The p-value is less than the significance level, so we will reject the null hypothesis, and conclude that at 5% significance level, the proportion for women that ran 5 km is more than the proportion of male that ran the 5 km. Thus, women are more likely to run the 5 km race.

Although if we check at 0.01 significance level, we will not have the same answer as the p-value will be greater.

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