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3 years ago

10 points. Please help me with numbers 9-13. Numbers 9-13 is the picture.

Mathematics

1 answer:

melomori [17]3 years ago

8 0

Answer:

x = 18

y = 15

Step-by-step explanation:

Remark

Step One

The main step is to realize that if the lower left hand angle is 90 degrees, then the upper left hand angle is also 90. That is because the interior angles of parallel lines are supplementary. If one of the angle is 90 degrees, so is the other.

Conclusion from the Remark

5x = 90

x = 90/5

x = 18 degrees

Step Two

Find y

y is just a bit harder to find . The safest way is to add all four interior angles together. For any trap*zoid (you cannot spell this word properly. The editor has a fit), the interior angles add up to 360 degrees.

So just add the 4 angles together and equate to 360

5(y + 11) + 4y - 10 + 90 + 90 = 360 Combine like terms

5(y + 11) + 4y - 10 + 180 = 360 Combine again

5(y + 11) + 4y + 170 = 360 Subtract 170 from both sides

5(y + 11) + 4y = 360 - 170 Combine like terms

5(y + 11) + 4y = 190 Remove the brackets

5y + 55 + y4 = 190 Combine like terms

9y + 55 = 190 Subtract 55 from both sides.

9y = 190 - 55

9y = 135 Divide by 9

y = 135 / 9

y = 15

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Bad White [126]

Answer a = 5 and b = 2.

Procedure

Initially means x = 0, then

5 = a*b^0 = a*1 = a, then a = 5

When x = 1, the height is the double of 5, i.e 10 and

10 = a.b^1 = a.b ⇒ b = 10/a = 10/5 = 2

The a = 5 and b = 2, so the equation is y =5(2)^x

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2 years ago

Y=4(-1)+3 Linear Equations

rewona [7]

Your equation states y = 4(-1) + 3

Since the parentheses touch the number 4 which means you multiply, we will start with that first.

4 × -1 or 4(-1) (it means the same thing) would be -4

Now let us combine the equation.

y = -4 + 3

The addition property is included now,

-4 + 3 = -1

Therefore, your answer would be y = -1

Hope this helped! :D

7 0

2 years ago

Noor brought 21 sheets of stickers. She gave 1/3 of a sheet to each of the 45 students at recess. She wants to give teachers 1 1

Tamiku [17]

Answer:

$\frac{3}{2}t+15\leq 21$

Step-by-step explanation:

Let t represent the number of teachers.

We have been given that Noor gave 1/3 of a sheet to each of the 45 students at recess.

Let us find the number of sheets given to students by Noor by multiplying the total number of students by the part of sheet given to each student.

$\text{Number of sheets given to 45 students}=45\times \frac{1}{3}$

$\text{Number of sheets given to 45 students}=15$

So, Noor gave 15 sheets to 45 students.

We have been given that Noor wants to give $1\frac{1}{2}=\frac{3}{2}$ sheet to each teachers, so the number of sheets given to t teachers will be $\frac{3}{2}t$ .

As Noor has bought 21 sheets, so the number of sheets given to students and t teachers will be less than or equal to 21.

We can represent this information in an inequality as:

$\frac{3}{2}t+15\leq 21$

Therefore, the inequality $\frac{3}{2}t+15\leq 21$ represents the number of teachers ,t, Noor could give sheets of stickers too.

6 0

3 years ago

Please explain how to get answer in sq units of parallelogram ABCD

Lostsunrise [7]

Hey there :)

Assuming you are asking how to find the area of parallelogram ABCD:

We know the area formula of a parallelogram:
Area = base x height

Then apply the formula to the given.

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3 years ago

A number is belng written in sclentific notation. The student moves the decimal point to the left 3 places and____.

Sauron [17]

Answer:

Step-by-step explanation:

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3 years ago

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