Answer:
(A)
Step-by-step explanation:
From the given figure, we have to prove whether the two given triangles are congruent or similar.
Thus, From the figure, ∠3=∠4 (Vertically opposite angles)
Since, KL and NO are parallel lines and KO and LN are transversals, then
measure angle 1= measure angle 5 that is ∠1=∠5(Alternate angles).
Thus, by AA similarity rule, ΔKLM is similar to ΔONM.
Thus, Option A that is Triangle KLM is similar to triangle ONM because measure of angle 3 equals measure of angle 4 and measure of angle 1 equals measure of angle 5 is correct.
It's interesting that areas from coordinates are much simpler than perimeters from coordinates. It's almost like math is telling us area is more fundamental than length.
p = AB+BC+CD+DE+EA
We use the Pythagorean theorem, square root form, on all the sides. We can skip a lot of the square roots because most of these are the hypotenuse of a 3/4/5 right triangle.
B-A=(4-0, 4-1)=(4,3) so length AB=5
C-B=(7-4,0-4)=(3,-4), so again BC=5
D-C=(3-7, -3-0)=(-4,-3) so again CD=5
E-D=(-4-3, -4 - -3) = (-7, -1). Ends our streak. DE=√(7²+1²)=√50=5√2.
A-E=(0 - -4,1 - -4)=(4,5) so EA=√(4²+5²)=√41.
Three of five were 3/4/5.
p = 5+5+5+5√2+√41 = 15+5√2+√41
I hate to ruin a nice exact answer with an approximation.
p ≈ 28.474192049298324
Answer: 28.47, last choice
First, start off by listing a few of the numbers that follow the first three clues to see if you can narrow it down.
7,111,111
7,333,333
7,555,555
etc.
Then, start adding up digits to see if you're getting close.
7+1+1+1+1+1+1 = 13
7+3+3+3+3+3+3 = 25
7+5+5+5+5+5+5 = 37
Since 7,555,555 is too high, we step it down to 7,555,333
7+5+5+5+3+3+3 = 31
7,555,333 will work as an answer, as well as 7,333,555, since it's the same amount when the digits are added together.
Answer:
0.01
Step-by-step explanation:
if you meant a to be .01 than it's that good luck
Start by putting into improper fractions.
- 1 2/3 = - 5/3
- 2 1/5 = - 11/5
Now stack the fractions like this.

Here's the key part (or one of them). Cancel the minus signs. Since there are 2 of them they become a plus.

Now invert the 11/5. That means turn it upside down. Put the 5 in the numerator and 11 in the denominator. Multiply by it by the top fraction.

When you do this, you just multiply top by top and bottom by bottom