Hey there! I'm happy to help!
A <u>quadrilateral </u>is any polygon (enclosed shape) with four sides. Let's see what each of these shapes are.
- Scalene right triangle - the prefix <u>tri-</u><u> </u>means <u>three </u>(tricycle, tripod, triple, etc.<u>),</u> and all triangles have three sides, so this is not a quadrilateral.
- Obtuse scalene triangle - once again a triangle, so not a quadrilateral.
- Isosceles right triangle - would you look at that, another triangle! Not a quadrilateral.
- Hexagon - a hexagon is a six-sided polygon (<u>hex=six)</u>, so this is not a quadrilateral.
- Pentagon - a pentagon is a five-sided polygon (<u>pent=five, </u>like Pentatonix!). Not a quadrilateral
- Right trapezoid - a trapezoid is a quadrilateral with at least one pair of parallel sides!
- Venn diagram - a Venn diagram is a compare and contrast chart made of two overlapping circles (ZERO sides), so this is not a quadrilateral.
So, the only shape on your list that is a quadrilateral is 6. right trapezoid.
Have a wonderful day! :D
Answer:
1.625 miles.
Step-by-step explanation:
Molly is raising cows. She has a pasture for them that is 0.65 square miles in area. One dimension of the pasture is 0.4 miles long.
We have to find the length of the other side of the pasture.
Now, area if the pasture = product of it's two dimensions.
So, 0.65 = 0.4L
⇒ L = 1.625 miles. (Answer)
Answer:
A. 228.5
B. 10
Step-by-step explanation:
A. Since <em>x</em> represents the number of months, replace <em>x</em> with 6 in the equation. Then multiply 29x6, which equals 174. Then add 174+54.5, which equals 228.5.
B. You need to solve for <em>x</em> by switching the signs in the equation<em>. </em>Set the original equation (29x+54.5) equal to 344.50. To solve for <em>x, </em>first subtract 344.50-54.5, which equals 290 (you subtract because it's the opposite of adding). Then divide 290÷29, which equals 10. You can check your work by replacing <em>x</em> in the original equation with 10, and if you get 344.5, your answer is correct.
Good luck :)
Assuming that both triangles are an exact copy of one another, it is safe to assume that 3y-7 is equal to 41. Set up an equation
3y-7=41
Add 7 to both sides
3y=48
Divide both sides by 3
y=16
Now to find PN.
Based on what we know, we can assume that MP = PN. Let's make some equations!
MP = 17x-8 PN = 11x+4
17x-8 = 11x+4
Subtract 11x from both sides
6x-8 = 4
Add 8 to both sides
6x = 12
Divide by 2
x=2
Substitute 2 in for x in the equation for PN
11(2)+4
Multiply 11 by 2
22+4 = 26
PN = 26
Answer:
Larger rocket: 36 kiloliters
smaller rocket: 24 kiloliters
Step-by-step explanation:
Lets assign the letters: "L" to the number of kiloliters the "Larger" rocket gets, and "S" to the number of kiloliters that the "Smaller" rocket gets.
We can create two equations from the words given in the problem:
First equation: <em>A total of 60 kiloliters is to be used for "L" plus "S"</em>:
which gives us: 
Next equation comes from the words: "<em>The smaller rocket receives 12 kiloliters less than the larger rocket</em>"
which gives us: 
Now we can use this last equation to replace for the "S" unknown in the first equation (and thus reducing the problem to one equation with one unknown (L), that one can easily solve):
Therefore the amount of fuel that the larger rocket gets is 36 kiloliters.
And using the equation "S = L - 12" we get: 
Which tells us that the smaller rocket gets 24 kiloliters of fuel.
