Answer:
T = 7.5
Step-by-step explanation:
One table = 4 students
? table = 30 students
To get the answer we criss-cross
30 * 1 = 4T(amount of table)
4T = 30
T = 30/4
T = 7.5
There should be 8 tables but the last table has 2 people sitting on it rather than 4.
Answer:
D. 90tan50 degrees
Step-by-step explanation:
The tree is known as the opposite leg of the 50 degree angle, and the given 90 feet is the adjacent leg. Here, we use tan because SOHCAHTOA can help us remember tan means opposite over adjacent. Then, we do tan50 degrees = (the height of the tree)/90. To solve, multiply tan50 by 90. This gives us the height of the tree = 90tan50 degrees.
Essentially, what we're looking at here are two alternate interior angles.
Wait. What? Alternate interior angles?
It sounds like some super fancy math jargon, but it's a fairly simple concept that I'll try my best to explain. First, let's look at lines L and M as two parallel lines, meaning that these two are lines with equal slopes, and will never intersect. See that line that goes in between the parallel lines L and M? That's called a transversal. It's basically a line that goes through two parallel lines.
Now we know that there's a transversal going through the parallel lines. So what? Well, there's a couple of special attributes to transversals. See the two angles, 7x-7 and 4x+14? As you can tell, these two angles alternate in the interior space between the transversal and the parallel lines.
Alternate interior angles are equal. There's a way to prove that they're equal, but I won't bore you with the specifics since that's not what the question's asking.
If the angles need to be equal for lines L and M to be parallel, we can make an equation that'll solve for x:
7x - 7 = 4x + 14
<u>Subtract 4x from both sides:</u>
7x - 4 x - 7 = 4x - 4x + 14
3x - 7 = 14
<u>Add 7 to both sides:</u>
3x - 7 + 7 = 14 + 7
3x = 21
<u>Divide both sides by 3 to completely isolate x:</u>
= 
x = 7
And that's our answer! If you need me to explain anything any further, just ask!
- breezyツ
I think that it would be the sum of all of the prices put together. 2505?
Answer:
19.5 in²
Step-by-step explanation:
Area of rhombus tile = side × height
Area = 3 × 6.5
Area = 19.5 in²