Answer:
The correct answer is: Option D) 5
Step-by-step explanation:
Given equation is:

In order to find that which values of x makes the equation true, we have to put each value of x in the equation. When both sides of equations will be equal, that value of x will be true for the equation.
Putting x = 2

Putting x = 3

Putting x=4

Putting x = 5

The equation is true for x = 5
Hence,
The correct answer is: Option D) 5
Answer:
3
Step-by-step explanation:
first term a= 2
last term tn= 32
common ratio r= -2
number of terms
= tn=ar^n-1
32 = 2*(-2)^n-1
divide both sides by 2
32/2 = 2*(-2)^n-1/2
16 = (-2)^n-1
Then...use 16 in the power of 2
(-2)^4 = (-2)^n-1
The bases (-2), cancels out
so we have: 4 = n-1
collect like terms
4-1 = n
3 = n
n= 3
Answer:
<h2>384 yd²</h2>
Step-by-step explanation:
The formula of a surface area of a cube:

We have <em>a = 8 yd</em>.
Substitute:

<u>Answer:</u>
The correct answer option is 21.
<u>Step-by-step explanation:</u>
We know that the given lines PW and AD intersect at the point C.
Therefore, the two given angles are equal to each other and we can write them in the form of an equation as:
(4x - 4)° = (3x + 17)°
Solving for x to get:
4x - 4 = 3x + 17
4x - 3x = 4 + 17
x = 21
Therefore, the value of x is equal to 21.
It would stay at 1,000
say if the number was 1,057
then the number would round up to 1,060
same as if the number was 1,053
the number would round down to 1,050
since the number ends in 0 there is no rounding to do