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3 years ago

Help find x values and y values

Mathematics

1 answer:

WINSTONCH [101]3 years ago

7 0

Answer:

x = 15, y = 21

Step-by-step explanation:

We have 2 vertical angles that are equal to each other, and equals (6x - 11).

For right triangle:

(6x - 11) + 81 + (x+ 5) = 180

6x - 11 + 81 + x+ 5 = 180

7x + 75 = 180

7x = 105

x = 15

For left triangle:

(4y - 18) + (6x - 11) + (y +14) = 180

4y - 18 + 6x - 11 + y +14 = 180

5y + 6x - 15 = 180

Substitute x = 15.

5y + 6*15 - 15 = 180

5y + 75 = 180

5y = 105

y = 21

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3 years ago

Which choice is the equation of a line that passes through (9, -3) and is parallel to the line represented by this equation? y=5

miskamm [114]

Answer:

$y+3=\frac{5}{3}(x-9)$ or $y=\frac{5}{3}x-18$

Step-by-step explanation:

step 1

Find the slope of the line parallel to the given line

we know that

If two lines are parallel, then their slopes are the same

we have

$y=\frac{5}{3}x-4$

therefore

The slope m of the line parallel to the given line is

$m=\frac{5}{3}$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=\frac{5}{3}$

$point\ (9,-3)$

substitute

$y+3=\frac{5}{3}(x-9)$ ----> equation of the line in point slope form

step 3

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$y+3=\frac{5}{3}(x-9)$

Isolate the variable y

$y+3=\frac{5}{3}x-15$

$y=\frac{5}{3}x-15-3$

$y=\frac{5}{3}x-18$

7 0

3 years ago

the length of a flag is 0.3 foot less than twice its width. if the perimeter is 14.4 feet longer than the width, find the dimens

forsale [732]

$x-\ length\\
y-\ width\\\\
x+0.3=2y\ \ \ \ \ | subtract\ 0.3\\x=2y-0.3\\
perimeter=2x+2y\\ 2x+2y-14.4=y\\\\
2*(2y-0.3)+2y-14.4=y\\
4y-0.6+2y-14.4=y\\
6y-15=y\ \ \ | add\ 15\\
6y=15+y\ \ | subtract\ y\\
5y=15\ \ \ | divide\ by\ 5\\
y=3\\
x=2y-0.3=2*3-0.3=6-0.3=5.7\\\\
Dimensions:\ length=5.7\ feet\, width=3\ feet.$

4 0

4 years ago

5 out of 20 students said ice cream was their favorite snack if they were a hundred six graders how many would chose ice cream P

Rufina [12.5K]

Answer:

<u>25 students</u>

Step-by-step explanation:

20 times 5 equals 100

5 times 5 equals 25

To get to 100 students you would times it by 5 and because we times'd the 20 times 5 we need to do the same to the 5 which would result in 25 students. Hope this helped! xx

4 0

3 years ago

The daily exchange rates for the five-year period 2003 to 2008 between currency A and currency B are well modeled by a normal d

ale4655 [162]

Answer:

50% probability that on a randomly selected day during this period, a unit of currency B was worth more than 1.094 units of currency A.

Step-by-step explanation:

The Empirical Rule(68-95-99.7 rule) states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 1.094

Standard deviation = 0.013

a) What is the probability that on a randomly selected day during this period, a unit of currency B was worth more than 1.094 units of currency A?

The normal distribution is symmetric, which means that 50% of the units of currency B are more than 1.094 of currency A and 50% are below.

50% probability that on a randomly selected day during this period, a unit of currency B was worth more than 1.094 units of currency A.

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3 years ago