Answer:
Step-by-step explanation:
The acute angles of a right-angled triangle other than the right angle always add up to 90 degrees.
<u>So, we get:</u>
(48 - x) + (3x - 10) = 90
48 - x + 3x - 10 = 90
-x + 3x - 10 + 48 = 90
2x + 38 = 90
2x = 90 - 38
2x = 52
Divide both sides by 2
x = 52 / 2
x = 26
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
Answer:
Step-by-step explanation:
The given series is
The the first term of the sequence is;
The constant difference is;
The nth term of the series is
Using the summation notation, we can write the series as;
The answer is B
No other point intersects with the line
Answer:
39
Step-by-step explanation:
Let a and b represent the first and second digits, respectively.
... a = b -6 . . . . . . the first digit is 6 less than the second
... a + b = 12 . . . . .the sum of digits is 12 (an even number)
Using the expression in the first equation, we can substitute for a in the second equation:
... (b -6) +b = 12
... 2b = 18 . . . . . . add 6, simplify
... b = 9 . . . . . . . . .divide by 2
... a = 9 -6 = 3 . . . . from the first equation
The number is 39.
