Answer:
She needs to sell 15 boxes of cookies to reach her goal
Answer:
x = 51
Step-by-step explanation:
The figure shown is a pentagon
The angles in a pentagon add up to equal 540
Which means that 77 + 107 + 156 + 149 + x = 540
^ ( note that we just created an equation that we can
use to solve for x )
We then solve for x using that equation
77 + 107 + 156 + 149 + x = 540
step 1 combine like terms
77 + 107 + 156 + 149 = 489
we now have 489 + x = 540
step 2 subtract 489 from each side
489 - 489 cancels out
540 - 489 = 51
we're left with x = 51
Using the distribution method:
x^2 + 12x - 8x = 14 + x^2 - 4x
x^2 + 4x = x^2 - 4x + 14
Now, I'm isolating x by moving all the x's onto one side of the equation:
x^2 - x^2 + 4x + 4x = 14
Combine like terms (x^2 cancels out):
8x = 14
x = 14/8
Simplified: x = 7/4
<h2>1.
The "required option c) 45" is correct.</h2><h2>
2. The value of 8 − 2⋅3 + 7 = 9</h2><h2>
3. The required "option c) 45" is correct.</h2><h2>
4. The required "option a) 40" is correct.</h2><h2>
5. The value of
= 8</h2>
Step-by-step explanation:
1. We have,
+ 20
To find, the value of
+ 20 = ?
∴
+ 20
= 5 × 5 + 20
= 25 + 20
= 45
Thus, the "required option c) 45" is correct.
2. We have,
8 − 2⋅3 + 7
To find, the value of 8 − 2⋅3 + 7 = ?
∴ 8 − 2⋅3 + 7
= 8 - 6 + 7
= 15 - 6
= 9
Thus, the value of 8 − 2⋅3 + 7 = 9
3. We have,

To find, the value of
= ?
∴
= 6 × 6 + 3 × 3
= 36 + 9
= 45
Thus, the required "option c) 45" is correct.
4. We have,

To find, the value of
= ?
∴ 
= 2 × 2 × 2 + 4 × 8
= 8 + 32
= 40
Thus, the value of
= 40
Thus, the required "option a) 40" is correct.
5 . We have,

To find, the value of
= ?
∴ 
= 3 × 3 - 2 × 3 + 5
= 9 - 6 + 5
= 14 - 6
= 8
Thus, the value of
= 8
area of this parallelogram=b×h=13×6=72inches