Step-by-step explanation:
Line segment = EG
point on a line segment = F
EG = 100
EF = 4x - 20
FG = 2x + 30
a/q, EF + FG = EG
the equation is
4x - 20 + 2x + 30 = 100
now solution for x is
→ 4x - 20 + 2x + 30 = 100
→ 6x + 10 = 100
→ 6x = 100 - 10 = 90
→ x = 90/6 = 15
therefore, value of x is 15.
and according to given information
EF = 4x - 20 = 4(15) - 20 = 60 - 20 = 40
FG = 2x + 30 = 2(15) + 30 = 30 + 30 = 60
hope this answer helps you dear..take care and may u have a great day ahead!
Answer:
angle y
58 + 38 + y = 180 (angle sum property)
96 + y = 180
y = 180 - 96
y = 84
angle x
x = 29 (58/2)
(angle subtended by an arc at centre is double the arc at any point on remaining part of centre)
the values of x = 29 and y = 84
Answer:
63/4 or 15 3/4 miles each day
Step-by-step explanation:
Answer:
(y - 2)(y - 6)
Step-by-step explanation:
To factorise
Consider the factors of the constant term (+ 12) which sum to give the coefficient of the y- term (- 8)
The factors are - 2 and - 6
since - 2 × - 6 = + 12 and - 2 - 6 = - 8, hence
y² - 8y + 12 = (y - 2)(y - 6)