To find x:
Triangles are in total 180 degrees. The two triangles are basically 1 triangle split in half. If the triangle share the same side, has similar angles (shown by the curves on both sides at the top(Angle BAC and CAB), and has similar sides(shown by the hashes made in the lines AC & AB), you can conclude 'x' as a 90 degree angle.
To find y:
The measurment of the angle DCA is 47 degrees. For x, we concluded the answer to be 90 degrees, making the other side of the line 90 degrees as well.Since a triangle is 180 degrees, we can add 47 and 90 to get 137. Taking that answer, we subtract it from the value of 180 degrees to get 43 degrees. So y equals 43.
Answer:
x=12 and
(9*12)-10=98
(5*12)+38=98
both angles are = 98
Step-by-step explanation:
do this :
9x - 10 = 5x + 38
( - 5x from both sides)
4x - 10 = 38
(add 10 to both sides)
4x = 38+10
4x=48
(divide by 4)
x=48/4
= 12
substitute into the equations:
(9*12)-10
(5*12)+38
If it’s in years, it will take 4 years to reach 600 dollars if you don’t add anymore into your bank account.
3+3? it’s 6. if that’s what u mean
There would be 12 people at the party!
In general, with n+1 people, the number of handshakes is the sum of the first n consecutive numbers: 1+2+3+ ... + n.
Since this sum is n(n+1)/2, we need to solve the equation n(n+1)/2 = 66.
This is the quadratic equation n2+ n -132 = 0. Solving for n, we obtain 11 as the answer and deduce that there were 12 people at the party.
Since 66 is a relatively small number, you can also solve this problem with a hand calculator. Add 1 + 2 = + 3 = +... etc. until the total is 66. The last number that you entered (11) is n.
Hope this helps!
