Answer:
y = 14
Step-by-step explanation:
∠BCF and ∠EFH are same side interior angles and are supplementary, hence
5x - 66 +2x + 50 = 180
7x - 16 = 180 ( add 16 to both sides )
7x = 196 ( divide both sides by 7 )
x = 28
∠BCF = 5x - 66 = (5 × 28) - 66 = 140 - 66 = 74
∠ACD = ∠BCF ( vertical angles ), hence
9y - 52 = 74 ( add 52 to both sides )
9y = 126 ( divide both sides by 9 )
y = 14
Answer:
Their sum is 140. The measure of an exterior angle is supplementary to the respective interior angle.
Step-by-step explanation:
Since the angle are on a straight line, m2 and 140 sum to 180.
So m2=40. Because a triangle has 180 degrees, m1 and m3 must sum to 140.
The exterior angle is always on the same incline as the interior angle, so it is always supplementary to the interior angle.
Answer:
-1.5, -1
Step-by-step explanation:
midpoint formula
(x1 + x2 / 2) , (y1 + y2/ 2)
-6 + 3 / 2 , -8 + 6 / 2
I really dont understant your question. but you are right that negative 8 that it would be minus. <span>In </span>mathematics<span>, a </span>negative<span> number is a real number that is less than zero. </span>Negative<span> numbers represent opposites. If positive represents movement to the right, </span>negative<span> represents movement to the left.</span>
Answer:Robert's minimum age is 11 years.
Step-by-step explanation:
Let x represent George's age.
Let y represent Edward's age.
Let z represent Robert's age.
George is twice as old as Edward. It means that
x = 2y
Edward's age exceeds Robert's age by 4 years. It means that
z = y - 4
If the sum of the three ages is at least 56 years, it means that
x + y + z ≥ 56 - - - - - - - - - - 1
Substituting x = 2y and z = y - 4 into equation 1, it becomes
2y + y + y - 4 ≥ 56
4y - 4 ≥ 56
4y ≥ 56 + 4
y ≥ 60/4
y ≥ 15
z = y - 4 = 15 - 4
z ≥ 11
