Answer:
Tootsie Rolls = 13
Step-by-step explanation:
Given:
Milky Ways and Tootsie Rolls together were 15 more than the number of Reese's Cups.
There were 4 fewer Reese's Cups than Hershey Bars.
There were 12 Milky Ways and 14 Hershey Bars.
Solution
Milky Ways and Tootsie Rolls = Reese's Cups + 15
There were 4 fewer Reese's Cups than Hershey Bars.
Hershey Bars = 14
Then,
Reese's Cups = 14 - 4
= 10
Milky ways = 12
Hershey bars = 14
Reese's Cups = 10
Milky ways = 12
Milky Ways + Tootsie Rolls = Reese's Cups + 15
12 + Tootsie Rolls = 10 + 15
12 + Tootsie Rolls = 25
Subtract 12 from both sides
Tootsie Rolls = 25 - 12
= 13
Tootsie Rolls = 13
Answer:
4
Step-by-step explanation:
Given
x² - 4x + 10 = 0
subtract 10 from both sides
x² - 4x = - 10
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 2)x + 4 = - 10 + 4
(x - 2)² = - 6
To complete the square add 4
Given: m ∠3 = m ∠4
To Prove: ∠1, ∠2 are supplementary .
Proof : m ∠3 = m ∠4 ( Given) ------------(1)
m<2 + m< 3 = 180 degrees ( <2 and <3 form a linear pair). ----------(2)
m< 4 = m<1 (Vertical angles are equal) -----------(3).
Substituting, m<4 =m<1 in (1), we get
m ∠3 = m ∠1.
Now, substituting m ∠3 = m ∠1 in (2), we get
m<2 + m< 1 = 180 degrees.
Sum of m <1 and m<2 is 180 degrees.
Therefore,<em> ∠1, ∠2 are supplementary by the defination of supplementary angles.</em>
Answer:
43
Step-by-step explanation:
43 is a prime number
Answer:
Step-by-step explanation:
Vertically Opposite Angles are equal..
so,
