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Goshia [24]
3 years ago
5

In the given diagram, find the values of x, y, and z.

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
5 0

Answer:

a. x = 36°, y = 36°, z = 34°

Step-by-step explanation:

X = 36° because x and 144° are supplementary angles and the sum of supplementary angles = 180°

The sum of interior angles in a triangle is equal to 180° since one of the angle is given as 110° the sum of z and y must be equal to 70° the option that fits these qualities is a. x = 36°, y = 36°, z = 34°

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Fletcher got 92 votes in the class election. 115 people voted. what percent of all the votes did he get?
lisabon 2012 [21]
92 divided by 115 equals 80 percent
3 0
3 years ago
The table represents an exponential function. A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4
scoray [572]

Answer:

The multiplicative rate of change of the function is \dfrac{2}{3}

Step-by-step explanation:

You are given the table

\begin{array}{cc}x&y\\ \\1&6\\2&4\\ \\3&\dfrac{8}{3}\\ \\4&\dfrac{16}{9}\end{array}

An exponential function can be written as

y=a\cdot b^x,

where b is the multiplicative rate of change of the function.

Find a and b. Substitute first two corresponding values of x and y into the function expression:

6=a\cdot b^1\\ \\4=a\cdot b^2

Divide the second equality by the first equality:

\dfrac{4}{6}=\dfrac{a\cdot b^2}{a\cdot b^1}\Rightarrow b=\dfrac{2}{3}

Substitute it into the first equality:

6=a\cdot \dfrac{2}{3}\Rightarrow a=\dfrac{6\cdot 3}{2}=9

So, the function expression is

y=9\cdot \left(\dfrac{2}{3}\right)^x

Check whether remaining two values of x and y suit this expression:

9\cdot \left(\dfrac{2}{3}\right)^3=9\cdot \dfrac{8}{27}=\dfrac{8}{3}\\ \\9\cdot \left(\dfrac{2}{3}\right)^4=9\cdot \dfrac{16}{81}=\dfrac{16}{9}

So, the multiplicative rate of change of the function is \dfrac{2}{3}

4 0
3 years ago
Read 2 more answers
You paint 1/3 of a wall in 1/4 hour. At that rate, how long will it take you to paint one wall?
jeka57 [31]
It will take you 3/4 of an hour, or 45 minutes to paint 1 wall.
8 0
3 years ago
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5 years ago, my grandfather was five times as old as I was. Three years from now, my grandfather will be three times as old as I
balu736 [363]
<h3>Answer:</h3>

13 years old

<h3>Explanation:</h3>

Let g and m represent grandfather's age now and my age now. The relation 5 years ago was ...

... g -5 = 5(m -5)

The relation in 3 years will be ...

... g +3 = 3(m +3)

Subtracting the first equation from the second, we get ...

... 8 = -2m +34

... 2m = 26 . . . . . add 2m-8

... m = 13

My age now is 13.

4 0
3 years ago
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A random sample of 64 freshmen spent an average of 14 hours per week watching television. the sample standard deviation was 32 h
NemiM [27]

Answer:

+/- 1.9983

Step-by-step explanation:

The critical values for a confidence interval for the population mean, with population standard deviation not known, are obtained from the student's t distribution.

The sample size is given as 64. The degrees of freedom will thus be;

sample size - 1 = 64 - 1 = 63

The confidence level is given as 95%. The level of significance will thus be;

100 - 95 = 5%.

The area in the right-tail will thus be 2.5%. Therefore, we looking for a t-value such that the area to its right is 2.5% and the degrees of freedom being 63. From the t-tables we have;

+/- 1.9983

3 0
3 years ago
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