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3 years ago

Find the measures of

Mathematics

1 answer:

finlep [7]3 years ago

7 0

2x + 90 + x + 60 - x = 180
2x + 150 = 180
2x = 180 - 150
2x = 30
x = 15

check..
2x = 2(15) = 30
90
15
60 - 15 = 45

30 + 90 + 15 + 45 = 180
180 = 180 (correct)

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What kind of sequence is this?<br> 36, 144, 432, -864, ..

jenyasd209 [6]

Answer:

<h3> A Geometric sequence with common ratio 3</h3>

Step-by-step explanation:

A sequence of number is called Geometric sequence if the first number is being multiplied with a constant to get the rest of the numbers

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

State the property that justifies the statement: If 4x + 9 = 15 and X=2y + 1,

GREYUIT [131]

Answer:

Substitution property of equality

Step-by-step explanation:

Given

$4x + 9 = 15$ and $x = 2y + 1$

Then

$4(2y + 1) + 9 = 15$

Required

State the property

From the list of options, (d) answers the question.

This is so because:

Substitution property of equality states that

If $a = b$ then $b = a$

In other words, both can replace one another.

So if $x = 2y + 1$ , then 2y + 1 can be substituted for x in $4x + 9 = 15$

So:

$4x + 9 = 15$ becomes

$4(2y + 1) + 9 = 15$

<em>Hence, it is substitution property of equality</em>

6 0

3 years ago

A farmer finds there is a linear relationship between the number of bean stalks, n, she plants and the yield, y, each plant prod

Archy [21]

Answer:

$y = -\frac{1}{3}m + 41$

Step-by-step explanation:

Linear equation:

A linear function has the following format:

$y = mn + b$

In which m is the slope and b is the y-intercept.

When she plants 30 stalks, each plant yields 31 oz of beans. When she plants 36 stalks, each plant produces 29 oz of beans.

This means that these two points belong to the line: (30,31), (36,29).

Finding the slope:

When we have two points, the slope is given by the change in the output divided by the change in the input.

Change in the output: 29 - 31 = -2

Change in the input: 36 - 30 = 6

Slope:

$m = \frac{-2}{6} = -\frac{1}{3}$

Thus

$y = -\frac{1}{3}m + b$

Finding b:

We take one of the points and replace on the equation.

(30,31) means that $m = 30, y = 31$ . Thus

$y = -\frac{1}{3}m + b$

$31 = -\frac{1}{3}(30) + b$

$31 = -10 + b$

$b = 41$

Thus

$y = -\frac{1}{3}m + 41$

3 0

3 years ago

Answer key to the senior class at high school a and high school b planned seperate trips to yellowstone national park. the senio

muminat

X=number of students

9x+12x=630
21x=630
x=30

so for high school, a, the 9 vans carried (9*30) 270 students while the 12 buses carried (12*30)=360 students. check:270+360=630

so for high school,b.
1x+6x=252
7x=252
x=<span>36

so the 1 van carries 36 students and the 6 buses carries (6*36) 216 students. check: 216+36=252</span>

4 0

3 years ago