Answer:
m∠P ≅ m∠L; this can be confirmed by translating point P to point L.
Step-by-step explanation:
Angle angle (AA) similarity postulate state that two triangles are similar if two of their corresponding angle is similar. The corresponding angle for each point of the triangles will be:
∠L=∠P
∠Q=∠M
∠N=∠R
Since the 2nd triangle made from dilation, it should maintain its orientation.
Option 1 is true, ∠P corresponds to ∠L. If you move/translate point P to point L, you can confirm it because their orientation is the same.
Option 2 is false, the triangle will be similar if ∠P=∠N but you can't confirm it with translation alone.
Option 3 and 4 definitely wrong because it speaking about length, not the angle.
Download photomath and it will give u step by step instructions
<h3>
Answer: 360</h3>
==========================================================
Explanation:
We have 3 even values (2,4, and 6) so this is the number of choices we have for the units digit. Recall that a number is even if the units digit is 0,2,4,6 or 8.
Once we have the units digit selected, we have 6-1 = 5 choices for the first slot, 6-2 = 4 choices for the second slot, and so on until we get down to 6-5 = 1 choice for the fifth slot
We could write it out like this
- slot one = 5 choices
- slot two = 4 choices
- slot three = 3 choices
- slot four = 2 choices
- slot five = 1 choice
- slot six = units digit = 3 choices
Multiply those values out: 5*4*3*2*1*3 = 360
There are 360 different even numbers possible.
Answer:
69
Step-by-step explanation:
I'm mathematics, the word 'of' transfers into becoming 'times or Multiply'
Therefore, the expression can be rewritten as:
10/100 of x = 30
10x / 100 = 30
Cross Multiply the equation to solve for x
10x = 100 * 30
10x = 3000
x = 3000 / 10
x = 300
(Since we gotten the value of x as 300) let's find 23% of it.
Therefore,
23% of x, ( when x is 300)
= 23/100 * 300
= 23 * 3
= 69
(Well, although that's the workable solution, the option doesn't seen to tally)
Maybe you check the source, but am certain about the Solution.
Let's keep learning, maths is fun !
