Find the value for y

Mathematics

1 answer:

yan [13]3 years ago

3 0

Answer:

y = 18

Step-by-step explanation:

Because it's interior angles are equal, it is an equilateral triangle.

Equilateral triangles have 3 equal sides.

So:

5y - 6 = 4y + 12

reduce:

y = 18

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Which of the following equations has a solution of x = -5?

Anna [14]

Answer:

Step-by-step explanation:

16x - 7 = 11x - 32

16x - 11x = -32 + 7

5x = -25

x = -5

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-4x - 10 = 2x + 20

-4x - 2x = 20 + 10

-6x = 30

x = -5

8 0

3 years ago

What is the equation of the vertical line through (-8,5)(−8,5)left parenthesis, minus, 8, comma, 5, right parenthesis?

Vesna [10]

X = -8

since you know that it’s a vertical line, it’s going to be x = _. since -8 is the x coordinate, the equation is x = -8. hope this helped!

5 0

3 years ago

A set of city temperatures in April are normally distributed with a mean of 19.7 degrees Celsius and a standard deviation of 2 d

Sati [7]

Answer:

19.77% of average city temperatures are higher than that of Cairo

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 19.7, \sigma = 2$