Answer:
- They will be on the same page after 6.5 days or 
days.
- They will be on page 180.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
You know that Nora plans to read 8 pages per day until the next club meeting and she is on page 128.
With this information you can write the following equation of the line in Slope-Intercept form to represent the number of the page "y" she will be on after "x" days:
Know that Lila is on page 102 and plans to read 12 pages per day until the next club meeting, you can write this linear equation that represent the number of the page "y" she will be on after "x" days:
Since they will be on the same page after "x" days, make both equations equal and solve for "x":
Substitute that value into any original equation the same page they will be on after 6.5 days (or days):
Answer:
y=mx+b
Step-by-step explanation:
that is the equation
Answer:
Area of trapezium = 4.4132 R²
Step-by-step explanation:
Given, MNPK is a trapezoid
MN = PK and ∠NMK = 65°
OT = R.
⇒ ∠PKM = 65° and also ∠MNP = ∠KPN = x (say).
Now, sum of interior angles in a quadrilateral of 4 sides = 360°.
⇒ x + x + 65° + 65° = 360°
⇒ x = 115°.
Here, NS is a tangent to the circle and ∠NSO = 90°
consider triangle NOS;
line joining O and N bisects the angle ∠MNP
⇒ ∠ONS = 
= 57.5°
Now, tan(57.5°) = 
⇒ 1.5697 = 
⇒ SN = 0.637 R
⇒ NP = 2×SN = 2× 0.637 R = 1.274 R
Now, draw a line parallel to ST from N to line MK
let the intersection point be Q.
⇒ NQ = 2R
Consider triangle NQM,
tan(∠NMQ) = 
⇒ tan65° =
⇒ QM = 
QM = 0.9326 R .
⇒ MT = MQ + QT
= 0.9326 R + 0.637 R (as QT = SN)
⇒ MT = 1.5696 R
⇒ MK = 2×MT = 2×1.5696 R = 3.1392 R
Now, area of trapezium is (sum of parallel sides/ 2)×(distance between them).
⇒ A = (
) × (ST)
= (
) × 2 R
= 4.4132 R²
⇒ Area of trapezium = 4.4132 R²
Answer:
Jordan's line would go up and Trevor's line would go down. This is because Jordan's like has a positive slope and Trevor's has a negative slope
Step-by-step explanation:
