First you would have to find the third angle in the triangle which you would do by adding 63+61 and subtracting the resulting number from the total degrees in a triangle. From there, you would calculate x and y using the knowledge that angles on a line equal 180.
<span>We have to find the value of x if the measures of the angles of a triangle are: 2 x, 3 x and 4 x. We know that the sum of the measures of the angles of a triangle is 180 degrees. A + B + C = 180. Here we have: A = 2 x, B = 3 x and C = 4 x; 2 x + 3 x + 4 x = 180; 9 x = 180; x = 180 : 9. Answer: x = 20 degrees.</span>
Answer:
Step-by-step explanation: x=8
Answer: He should have translated the scenario as value of all dimes = value of all
Step-by-step explanation:
Answer:
Step-by-step explanation:
The numbers are 11 & 12
Explanation:
Let the first number be f and the second |number be s
Now the square of first No. is 23 less than the square of second No.
ie. f
2
+
23
=
s
2
. . . . . (1)
The second No. is 1 more than the first
ie f
+
1
=
s . . . . . . . . . . .(2)
squaring (2), we get
(
f
+
1
)
2
=
s
2
expanding
f
2
+
2
⋅
f
+
1
=
s
2 . . . . . (3)
Now (3) - (1) gives
2
⋅
f
−
22
=
0
or
2
⋅
f
=
22
thus, f
=
22
2
=
11
and s
=
f
+
1
=
11
+
1
=
12
So the numbers are 11 & 12