Answer:
Step-by-step explanation:
At the point where two line cut across, the vertically opposite angles formed are equal. This means that
2x degrees = 78 degrees
Dividing the left hand side and the right hand side of the equation by 2, it becomes
2x/2 = 78/2
x = 39
Checking,
The sum of the angles on a straight line is 180 degrees.
180 - 78 = 102 degrees
2x + 102 = 180
2x = 180 - 102 = 78
x = 78/2 = 39
Answer:
<h3>2</h3>
Step-by-step explanation:
<span>2y = x + 3 then x = 2y - 3
5y = x - 7 then x = 5y + 7
so
</span>2y - 3 = 5y + 7
2y - 5y = 7 + 3
-3y = 10
y = -10/3
y = -3 1/3
<span>2y = x + 3
</span>2 (-10/3) = x + 3
-20/3 - 3 =x
-29/3 = x
-9 2/3 =x
or
x = -9 2/3
solutions: x = -9 2/3 and y = -3 1/3
9 + √2 / 4 - √7
Multiply the numerator and denominator by the conjugate.
Exact form:
(36 + 9√ 7 + 4√2 + √14) / 9
or
about 7.69
:)))
Answer:
Option (b).
Step-by-step explanation:
It is given that Adrian built a structure out of 10 congruent cubes.
Volume of each cube = 8 cubic centimetres.
We need to find the total volume of the structure.
Total volume = No. of cubes × Volume of each cube
Therefore, the total volume of the structure is 80 cubic centimetres.
Hence, option (b) is correct.
