Answer:
<u>108 m²</u>
Step-by-step explanation:
Area of the figure :
- 3 x 6 + (3 + 3) x 6 + (3 + 3 + 3) x 6
- 6 (3 + 6 + 9)
- 6 (18)
- <u>108 m²</u>
Answer:
Step-by-step explanation:
<u>Incenter is the intersection of angle bisectors.</u>
- ∠MJP = ∠OJP, ∠MKP = ∠NKP, ∠NLP = ∠OLP
<u>First find the value of x:</u>
- 7x - 6 = 5x + 4
- 7x - 5x = 4 + 6
- 2x = 10
- x = 5
<u>Find the angle MJP:</u>
<u>We know sum of interior angles of a triangle is 180°. Using this find the missing angle measure:</u>
- 2*m∠MJP + 2*m∠NJP + 2*m∠MKP = 180°
- m∠MJP + m∠NJP + m∠MKP = 90°
- 29° + 26° + m∠MKP = 90°
- m∠MKP = 90° - 55°
- m∠MKP = 35°
Hello!
Let's solve our equation below.
7p-4=8
First we add 4 to both sides.
7p=12
We divide both sides by 7.
p≈1.71
I hope this helps!
<em>Note: Your question seems a little bit ambiguous. So, I am assuming the given function f(x)=9x+7.</em>
<em>Thus, I am solving based on it. It would still clear your concept. </em>
Answer:
The inverse of f(x)=9x+7
Step-by-step explanation:
Given the function

A function g is the inverse of function f if for y=f(x), x=g(y)
Replace x with y

solve for y


Therefore,
The inverse of f(x)=9x+7 is:
i.e.

Answer:
1,408 packs can be made, and 2 pens will be left out.
Step-by-step explanation:
Given that a manufacturer has 5,634 pens to divide into packs of 4 pens, and the manufacturer makes as many packs as possible, to determine how many packs of pens does the manufacturer make, and how many pens are left over, the following must be done calculation:
5.634 / 4 = X
1,408.5 = X
5,634 - (1,408 x 4) = X
5.634 - 5.632 = X
2 = X
Therefore, 1,408 packs can be made, and 2 pens will be left out.