Answer:
The value of x is 
.
Step-by-step explanation:
Please look at the figure attached to get more clear solution.
We have given:
FG||CB
And the line that cut the parallel line is transversal so, here BA is transversal
And alternate interior angles on transverse line are equal
So, ∠1=∠4
And ∠4=
Hence, ∠1=∠4=
And On FG the sum of angles will be 
∠3+∠2+∠1=
+∠2+=
Hence, ∠2=
Now, we know that the sum of interior angles is equal to the exterior angle:
Therefore, ∠2+∠5=∠6+∠7
On simplification we get:
Hence, the value of x is .
Answer:
76
Step-by-step explanation:
recall that for a quadratic equation in the form
ax² + bx + c = 0, the discriminant is given by
discriminant, D = b²- 4ac
we are given the following:
-6x² + 2x + 3 = 0,
comparing this with the general equation above, it is clear that,
a = -6, b = 2 and c = 3,
substituting these into our equation for discriminant:
D = b²- 4ac
= 2² - 4(-6)(3)
= 4 + 72
= 76
Answer:
2.5 or 5/2
Step-by-step explanation:
2x-3=2
2x=5 (both sides plus 3)
x=5/2 or 2.5(divid by 2 on both sides)
B is the answer!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
We are given that
Base area of sample box,a=
Height of the sample box,h=
We have to find the volume of the sample box.
We know that
Volume of rectangular prism,
Where a=Area of base
Using the formula
Volume of sample box=
Hence, the volume of the sample box=
