The median triangle is a line segment that connects the vertex and the midpoint of the opposite side. Therefore, in the given, we can say that RS = QS
Equating RS and QS, we will find the value of X
RS = QS
5x-11 = 2x+7
5x-2x = 7+11 ⇒ combine like terms
3x = 18 ⇒ divide both sides by 3 to get the x value
x = 6
Find the value of RS and QS, in this, we will show that two are equal
5(6)-11 = 2(6)+7
19 = 19 ⇒ correct
Therefore RQ is the sum of RS and QS or simply twice the length of either segment
RQ = 19 x 2 = 19 + 19 = 38 (D)
Answer:men=152 women=76 children=38
Step-by-step explanation:
- men+women+children=266
- men=4*children
- women=2*childrens
- so let say x represent the numebers of children the equatin becomes: 4x+2x+x=266
- solve for x =38 so the numbers of children is 38
- men=4*38=152
- women=2*38=76
Width = 7cm
Length = 13cm
<u>Explanation:</u>
Area of rectangle = 
Let width of the rectangle = b ,
So, length = b+6
Area of rectangle = (length X width) - eqn 1
Putting the value of length and width in above equation 1,

On solving the quadratic equation we get,
b = 7cm
So, width (b) = 7cm
and length = 7+6
l = 13cm
Hence,
Width = 7cm
Length = 13cm
Answer:
-7g-3
Step-by-step explanation:
in order to evaluate for this mathematical expression, we need to consider the negative sign carefully and then open the bracket then evaluate.
<u>solutuion</u>
-3 (5 g +1) + 8 g
-15g -3 + 8g
-15g +8g -3
-7g-3
Answer:
4x -12
Step-by-step explanation:
8 - 4(-x + 5)
Distribute
8 -4(-x) -4(5)
8 +4x -20
4x -12