Answer:
The answer is "12 inches".
Step-by-step explanation:
Please find the image file of the graph.
We know
so because the triangle is isosceles.
when
is called by
.
We know that
since E and D are tangent points to a circle.
They have
since D and F are tangent points only to circle.
Thus, if the perimeter is 32, the following is the result:

Therefore the length of 
Answer:
paper clips = $1.85
index cards = $3.95
Step-by-step explanation:
Mark
12 paper clips = x
10 index cards = y
$61.70 total
Janice
15 paper clips = x
7 index cards = y
$55.40 total
12x + 10y = 61.70
15x + 7y = 55.40
*** you want to cancel out one of the letters
(12x + 10y = 61.70) * -7
(15x + 7y = 55.40) * 10
-84x -70y = -431.9
150x + 70y = 554.0
150x + 70y = 554.0
-84x -70y = -431.9
66x + 0 = 122.1
66x = 122.1
x = 122.1 ÷ 66
x = 1.85
plug it back in
15(1.85) + 7y = 55.40
27.75 + 7y = 55.40
7y = 55.40 - 27.75
7y = 27.65
y = 27.65 ÷ 7
y = 3.95
-3(x-14)+9x=6x+24
-3x+42+9x=6x+24
-3x+9x-6x=-24-42
0=-18
Answer:
The number that belongs <em>in</em> the green box is equal to 909.
General Formulas and Concepts:
<u>Algebra I</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Trigonometry</u>
[<em>Right Triangles Only</em>] Pythagorean Theorem:

- a is a leg
- b is another leg
- c is the hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify given variables</em>.
<em>a</em> = 30
<em>b</em> = 3
<em>c</em> = <em>x</em>
<em />
<u>Step 2: Find </u><u><em>x</em></u>
Let's solve for the <em>general</em> equation that allows us to find the hypotenuse:
- [Pythagorean Theorem] Square root both sides [Equality Property]:

Now that we have the <em>formula</em> to solve for the hypotenuse, let's figure out what <em>x</em> is equal to:
- [Equation] <em>Substitute</em> in variables:

- <em>Evaluate</em>:

∴ the hypotenuse length <em>x</em> is equal to √909 and the number <em>under</em> the square root, our answer, is equal to 909.
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Learn more about Trigonometry: brainly.com/question/27707750
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Topic: Trigonometry
Answer:
In your console (ctrl + shift + j), the letter a would appear. Beneath that, the letter c would appear.
Step-by-step explanation:
This is because the val2 is not less than or equal to 3. The second condition that's inside the first condition is true but since the first condition is false, the second condition would not run.