Answer:
6 pencils per student
Explanation:
We know that there are 150 pencils and 25 students; therefore to find the number of pencils each student gets, we divide 150 by 25
Hence,
150 pencils / 25 students = 6 pencils / student.
which is our answer!
Just like you drew those dotted lines. You know how to find the areas of rectangles which is A=length x width
The answer would be 20cm^2+6cm^2+18cm^2=44 cm^2
Answer:
22
Step-by-step explanation:
The segment addition theorem tells us the whole is the sum of the parts. We can use this to write an equation relating the expressions for segment length.
<h3>Setup</h3>
OQ = OP +PQ . . . . . segment addition theorem
4x +2 = (3x -3) +(4x -10) . . . . substitute given expressions
<h3>Solution</h3>
15 = 3x . . . . . . add 13 -4x to both sides
5 = x . . . . . . . divide by 3
OQ = 4x +2 = 4(5) +2 = 22
The length of OQ is 22 units.
Answer:
See answers below
Step-by-step explanation:
Since both trinagles asre similar hence the ratio of the similar sides are equal.
From both triangles;
y + 7 = 3y - 7
y - 3y = -7-7
-2y = -14
y = 14/2
y = 7
FE = 3y - 17
FE = 3(7) - 17
FE = 21 - 17
FE = 4
AB = y'+7
AB = 7 + 7
AB = 14
Similarly
3x+20 = 5x - 80
3x -5x = -80-20
-2x = -100
x = 100/2
x = 50
<A = 3x + 20
<A = 3(50) + 20
<A = 150 + 20
<A = 170degrees
Hence x= 50 and y = 7
Answer:
y = - 4, y = 0
Step-by-step explanation:
Given
y² + 4y = 0 ← factor out y from each term on the left side
y(y + 4) = 0 ← in factored form
Equate each factor to zero and solve for y
y = 0
y + 4 = 0 ⇒ y = - 4
