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3 years ago

6

What is the value of x in this triangle

2 answers:

Musya8 [376]3 years ago

7 0

Answer:

C. 65

Step-by-step explanation:

x = 180 - (62 + 53)

x = 180 - 115

x = 65

<em>Hope that helps!</em>

<em>-Sabrina</em>

Alborosie3 years ago

3 0

Answer:

C. 65 degrees

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Between which pair of numbers is the exact product of 379 and 8?

AnnZ [28]

The product of 379 and 8 is 3,032.

It's between (any number less than 3,032) and (any number greater than 3,032).

I guess if this is an <em>estimation </em>exercise, you could say that it's between
(8 x 300) and (8 x 400), or 2,400 and 3,200.

5 0

3 years ago

Consider the piecewise-defined function given by the graph. What are these values?

maksim [4K]

Answers:

f(-3) = -1

f(-1) = 2

f(3) = 5

======================================

Explanations:

Draw a vertical line through -3 on the x axis. Make sure this vertical line crosses the orange graph. Mark this point of intersection and then draw a horizontal line from this point to the y axis. You should find that it touches -1 on the y axis. Check out the attached image to see this process in action.

Those steps basically say that x = -3 leads to y = -1. Since y = f(x), this means f(-3) = -1

Through similar steps, you should find that f(-1) = 2 and f(3) = 5

Note that the open hole/circle does not count. So if you land on an open hole, just keep going until you hit a closed circle on the other piece of the graph.

6 0

3 years ago

Read 2 more answers

The ratio of Country albums to Jazz albums in a music collection is 2:3. If the music collection has 45 albums, how many Country

Marina86 [1]

2:3. 2+3=5. So 45 divided by 5 equals 9

9x2 ( the ratio number of country music is 2)

So there are 18 country albums in the collection

4 0

3 years ago

A team of scientist surveying a forest found that there were four oak trees for every 10 pine trees. If they counted 24 more pin

Ipatiy [6.2K]

Answer:

There are 16 Oak tree in the forest.

Step-by-step explanation:

Given: There are 4 Oak tree on every 10 pine trees.

There are total 24 more pine tree than Oak tree.

Using the ratio of trees to find the number of trees.

Lets assume there are total number of Oak tree be "x".

∴ Total number of Pine trees will be $"x+24"$

We know the ratio of Oak to Pine tree is 4:10 or $\frac{4}{10}$

⇒ $\frac{x}{x+24} = \frac{4}{10}$

Multiplying both side by $x+24$

⇒ $x= \frac{4(x+24)}{10}$

Using distributive property of multiplication, distributing 4 with x and 24.

⇒ $x= \frac{4x+96}{10}$

Multiplying both side by 10

⇒ $10x= 4x+96$

subtracting both side by 4x

⇒ $6x= 96$

dividing both side by 6

⇒ $x= \frac{96}{6}$

∴ $x= 16$

Hence, There are 16 Oak trees in the forest.

5 0

4 years ago

7. The difference of Grandma Annie's age and twice Carl's is 22. Gran

OlgaM077 [116]

<h2>Systems of Equations Word Problems</h2>

To solve these questions, we can translate key words into operations:

<em>Difference</em> = subtract
<em>Twice</em> = double
<em>Less than</em> = subtract

<h2>Solving the Question</h2>

We're given:

Difference of Annie's age and twice Carl's age is 22
Annie's age is 13 less than 3 times Carl's age

There are two variables given two us: Annie's age and Carl's age.

Let Annie's age be equal to <em>x.</em>
Let Carl's age be equal to <em>y</em>.

Translate the given information into two equations:

Difference of Annie's age and twice Carl's age is 22
⇒ $x-2y=22$

Annie's age is 13 less than 3 times Carl's age
⇒ $x=3y-13$

Now, we can substitute the fist equation into the second one to solve for <em>y</em>:

$(3y-13)-2y=22\\3y-13-2y=22\\y-13=22\\y=35$

Now, substitute <em>y</em> back into the second equation to solve for <em>x</em>:

$x=3y-13\\x=3(35)-13\\x=105-13\\x=92$

<h2>Answer</h2>

Therefore, Grandma Annie is 92 years old.

6 0

2 years ago