Well, we knew that from 0 to 1 you add '1', from 1 to 4 you add '3', from 4 to 9 you add '5', from 9 to ? you add '7'!
So 9+7=16.
16 to ? you add 9! 16+9=25
The next 2 terms are 16 and 25.
Given parameters:
First term of the sequence = x
Second term = x + 2
Third term = x + 4
Sum of the first three terms = 72
Unknown:
First term of the sequence = ?
Solution:
The sum of the first three terms is unknown;
(x) + (x + 2) + (x + 4) = 72
Solve for x;
x + x + 2 + x + 4 = 72
3x + 6 = 72
3x = 72 - 6
3x = 66
x =
= 22
The first term of the sequence is 22
No. of Oranges = Total Mass/Mass of one orange
IF only the mass of oranges is considered(not the box)
So, No. of oranges = 10*1000g/200g
= 50
So answer is 50 oranges.
Answer:
AC=BD
CAD=CBD
ACB=ADB
Step-by-step explanation:
You're essentially looking for anything of equal proportions. Obviously, your circle is split by several lines, and each side is symmetric. Since you know this, it's simply a matter of identifying one element then finding its symmetric match.
Follow the lines and trace the path with your finger for each question. If you do this, you'll see that AC=BD is an answer that involves a symmetric pair, because these two are equal distances and equal (but opposite) in placement.
Continuing with this method, keep track of the parts of the triangles you trace. With CAD=CBD, you trace across a hypotenuse, a leg, and a base in BOTH, making this true.
Continuing further with ACB=ADB, you trace across a hypotenuse, a leg, and a base with both AGAIN, making this true.
With AB=CD, this is obviously incorrect. You can't jump between points.
Answer:
22
Step-by-step explanation:
Given that T is the midpoint of line PQ, segments PT = 5x + 2, and TQ = 7x - 6 that are formed would be equidistant or congruent. PT = TQ.
Therefore:

Let's find the value of x
Rearrange the equation, so that the terms having x would be on your left, while those without x would be on your right.


Divide both sides by -2

Plug in the value of x into the expression, 5x + 2, to find PT.
PT = 5(4) + 2 = 22.