Answer:
Option 4 is correct
x° + 126° = 180° and value of x is 54°
Step-by-step explanation:
Here, In a given Triangle two sides are equal i.e., Isosceles Triangle.
We know that, in a triangle the sum of all angles Is 180°.
If two sides are equal then also two angles are also equal of that sides.
Now,
63° + 63° + x° = 180°
x° + 126° = 180°
Now, To find the value of x
x° + 126° = 180°
x° = 180° - 126°
x = 54°
Thus, The value of x is 54°
<h3>
<u>FOR</u><u> </u><u>VERIFICATION</u><u> </u><u>ONLY</u><u>:</u><u>-</u></h3>
x° + 126° = 180°
54° + 126° = 180°
<u>180° = 180°</u>
Hence, L.H.S = R.H.S
<u>-TheUnknownScientist</u>
9514 1404 393
Answer:
60, 57, 54, 51, ...
Step-by-step explanation:
The general term of an arithmetic sequence is ...
an = a1 +d(n -1)
We would like to find the first term (a1) and the common difference (d). We can use the two given terms to find these parameters.
a10 = 33 = a1 +d(10 -1)
a22 = -3 = a1 +d(22 -1)
Subtracting the first equation from the second, we get ...
(-3) -(33) = (a1 +21d) -(a1 +9d)
-36 = 12d
-3 = d
Using this value in the first equation, we can find a1.
33 = a1 +9(-3) = a1 -27
60 = a1 . . . . . . . . . . . . . . add 27 to both sides
So, our sequence has first term 60 and a common difference of -3.
The first 4 terms are ...
60, 57, 54, 51, ...
If 5 is the base, 3(x-1) is the argument:
3x-1=5²
3x=26
x=26/3
If 5 is with 3x-1, that is, if 5(3x-1) is the argument, and the base is 10:
5(3x-1)=10²
3x-1=20
3x=21
x=7
Well to solve this you write out three equations
x+(x+1)+(x+2)=1623
then
3x=1620
x=540
so the three consecutive integers are 540,541, and 542.
