We can find out what LM is based on the fact that the bases of the 2 triangles are the same, this would also mean that the hypotenuse sides of the triangles should also be the same as well. Thus the sides of LM should also equal the sides of MN.
Another way, is to assume that the triangles are right angle ones, and use Pythagorean theorem to solve for the height and use that to solve for the hypotenuse.
25q + 10d = 425
q + d = 20
First thing's first, picture 4 quarters. Do you know how much these 4 quarters are worth? Obviously, you'd answer one dollar, but take the time to think about how exactly you came up with this answer.
"Well, it's simple," you might think, "Multiply 0.25 by 4."
Similar to this train of thought, the first equation is formulated by doing exactly that. 'q' represents an unknown number of quarters, and 'd' an unknown number of dimes. We use 25q and 10d, because, well, we're multiplying their value by the number of coins. They're equivalent to 425 because the 20 unknown coins make $4.25 (I converted it to cents to get rid of the pesky decimals, but if you want to keep it as dollars that works too).
Because the equation states that there are 20 coins in total, we know that we can make the equation 'q + d = 20' since there are 20 quarters and dimes in total.
Let me know if you need any further explanation :)
-T.B.
Answer:
i dont speak english
Step-by-step explanation:
Answer:
B. 1/2
Step-by-step explanation:
If we plug in 0 for z, we get 0/0. Apply l'Hopital's rule.
Now when we plug in 0 for z, we get:
Answer:
#1 is 30 degrees
#2 is obtuse
#3 is "No rhombuses are rectangles"
#4 is D
#5 is A
Step-by-step explanation:
For #1, we have an angle vertical to 120 degrees which includes a right angle, so we make an equation:
90+x=120
x=30
So angle x is 30 degrees aka. Option A
For #2, obtuse angles have the sum of the square of the side lengths that are less than the square of the hypotenuse. In this case, 6^2+4^2<9^2 or 50<81
For #3, rhombuses have two pairs of congruent sides but no right angles while rectangles have two pairs of congruent sides but they also have right angles.
For #4, they are similar because one of the triangles is dialated by a scale factor of 1.5.
For #5, just think of turning the triangle on its other side, aka. option A
