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KiRa [710]
3 years ago
10

What is the Value of x?

Mathematics
2 answers:
satela [25.4K]3 years ago
8 0

\text{It's an isosceles triangle. Therefore}\ m\angle C=m\angle A:\\\\9y-3=69\qquad\text{add 3 to both sides}\\\\9y=72\qquad\text{divide both sides by 9}\\\\\boxed{y=8}\\\\\text{We know: The sum of the measures of the angles of a triangle is 180}^o.\\\\\text{Therefore we have the equation:}\\\\m\angle A+m\angle B+m\angle C=180^o\\\\\text{Substitute}\ m\angle A=m\angle C=69^o:\\\\69+(5x+2)+69=180\\\\138+5x+2=180\\\\140+5x=180\qquad\text{subtract 140 from both sides}\\\\5x=40\qquad\text{divide both sides by 5}\\\\\boxed{x=8}

Answer:\ \boxed{\boxed{x=8}}

Ronch [10]3 years ago
7 0

Answer:

x=8

Step-by-step explanation:

Since this is an isosceles triangle <A is equal to <C

<A = <C = 69

<A+ <B +<C = 180  because the 3 angles of a triangle add to 180 degrees.

69 + 5x+2 + 69 = 180

Combine like terms

140+ 5x = 180

Subtract 140 from each side

140-140 +5x =180-140

5x = 40

Divide by 5

5x/5 =40/5

x=8


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3. Nutrition labels. The nutrition label on a bag of potato chips says that a one ounce (28 gram) serving of potato chips has 13
svetoff [14.1K]

Answer:

The 95% confidence interval of for this random sample is between 128.16 calories and 139.84 calories. This means that we are 95% that the mean number of calories for all bags of potato chips is in this interval.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 35 - 1 = 34

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 34 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.0322

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.0322\frac{17}{\sqrt{35}} = 5.84

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 134 - 5.84 = 128.16 calories

The upper end of the interval is the sample mean added to M. So it is 134 + 5.84 = 139.84 calories

The 95% confidence interval of for this random sample is between 128.16 calories and 139.84 calories. This means that we are 95% that the mean number of calories for all bags of potato chips is in this interval.

3 0
3 years ago
What is the distance from W to X?
Flauer [41]

Answer:

The answer is 35 miles.

Step-by-step explanation:

Let's assume that the distance from W to Y is x miles

Distance from W to X is 70 % of x =0.7*x

Given distance from X to Y is 15 miles.

x-15=0.7x

x-0.7x=15

0.3x=15

x=15/0.3

x=50miles

Thus the distance from W to Y is 50 miles and the distance from W to X is 50-15=35 miles

3 0
3 years ago
Anyone please .help me to solve this​
Wittaler [7]
The Correct Answer Is 10
4 0
3 years ago
Read 2 more answers
I need help doings this​
julia-pushkina [17]

Answer:

Either A or C, I'm not quite sure tho

Step-by-step explanation:

The line is on the negative side of the graph

6 0
3 years ago
PLEASE HELP STAT WILL MARK BRAINLIEST.
Marina CMI [18]

Answer:

19.5

Step-by-step explanation:

78 divided by 4

8 0
3 years ago
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