We know that the sum of arc ND and arc ML divided by 2 is equivalent to 6x + 23.
Thus, we can form an equation:
6x + 23 = (11x + 8 + 3x + 14)/2
Simplify:
6x + 23 = (14x + 22)/2
Simply again:
6x + 23 = 7x + 11
Subtract 6x from both sides:
23 = x + 11
Subtract 11 from both sides
x = 12
Option A, or x = 12
-T.B.
Answer:
The value of the side PS is 26 approx.
Step-by-step explanation:
In this question we have two right triangles. Triangle PQR and Triangle PQS.
Where S is some point on the line segment QR.
Given:
PR = 20
SR = 11
QS = 5
We know that QR = QS + SR
QR = 11 + 5
QR = 16
Now triangle PQR has one unknown side PQ which in its base.
Finding PQ:
Using Pythagoras theorem for the right angled triangle PQR.
PR² = PQ² + QR²
PQ = √(PR² - QR²)
PQ = √(20²+16²)
PQ = √656
PQ = 4√41
Now for right angled triangle PQS, PS is unknown which is actually the hypotenuse of the right angled triangle.
Finding PS:
Using Pythagoras theorem, we have:
PS² = PQ² + QS²
PS² = 656 + 25
PS² = 681
PS = 26.09
PS = 26
Answer:
152.44
Step-by-step explanation:
148/100*103=152.44
Answer: Y=-3/4x-2
Step-by-step explanation:
you fill in the blank because It’s y=Mx+b and m=slope b=y intercept so y=-3/4x-2
1 gal = 3.8 liters....so 65 gallons = 65 * 3.8 = 247 liters
