Answer:
Step-by-step explanation:
<u>Statements </u> <u> Reasons</u>
1) QS =42 Given
2) QR + RS = QS Segment Addition Postulate
3) (x + 3) + 2x = 42 Substitution Property
4) 3x + 3 = 42 Simplify
5) 3x = 39 Subtraction Property of Equality
6) x=13 Division Property of Equality
Explanation:
We have given QS=42. We have to prove that x=13
We will use Segment Addition Postulate which states that given 2 points Q and S, a third point R lies on the line segment QS if and only if the distances between the points satisfy the equation QR + RS = QS.
Then we will substitute the values in the defined postulate.
where QR= x+3
RS=2x
QS=42
QR+RS=QS
(x+3)+2x= 42
Now simplify the expression by opening the brackets.
x+3+2x=42
3x+3=42
Now subtract 3 from both sides.
3x+3-3=42-3
3x=39
divide both sides by 3.
3x/3 =39/3
x=13..
The answer is 25 since 4•4 is 16 and 16 plus 12 is 28. 28 - (2•3=6) + 3= 25
It would divide 1/6 which would translate into 0.16 with a repeating 6. I can’t do the work :(
sorry. hope it helped
The area of the quadrilateral is 16.80 square units if the diagonal divides the quadrilateral into two triangles.
<h3>What is quadrilateral?</h3>
It is defined as the four-sided polygon in geometry having four edges and four corners. It has one pair of opposite congruent angles and the diagonals of a kite are perpendicular.
We have a quadrilateral shown in the picture.
The diagonal divides the quadrilateral into two triangles
The area of the quadrilateral = area of the triangle ADC + area of the
triangle ADB
= (1/2)3.42×4.39 + (1/2)5.44×3.42
= 7.5069 + 9.3024
= 16.80 square units
Thus, the area of the quadrilateral is 16.80 square units if the diagonal divides the quadrilateral into two triangles.
Learn more about the quadrilateral here:
brainly.com/question/6321910
#SPJ1
Okay so first, area is length times width, so 1/4x*x would be first = 1/4(x^2)=64. Then area or x = 16 or -16
perimeter would be width times two plus length times two. I recommend using math papa to calculate these numbers.