Answer:
(10,24)
Step-by-step explanation:
Well first we plug in y = 3x - 6 for y in y = 2x + 4
3x - 6 = 2x + 4
Then we combine like terms and seperate x.
x - 6 = 4
x = 10.
If x is 10 we plug that in
y = 3(10) - 6
y = 30 -6
y = 24
(10,24)
Answer:
The measure of the vertex angle is 100°
Step-by-step explanation:
In Δ MNO
∵ Δ MNO is an isosceles triangle with base MO
∴ NM = NO
→ In an isosceles triangle, the base angles are equal in measures
∵ ∠M and ∠O are the base angles isosceles ΔMNO
∴ m∠M = m∠O
∵ m∠M = (3x + 10)°
∵ m∠O = (5x - 10)°
→ Equate their measures
∴ 5x - 10 = 3x + 10
→ Add 10 to both sides
∵ 5x - 10 + 10 = 3x + 10 + 10
∴ 5x = 3x + 20
→ Subtract 3x from both sides
∴ 5x - 3x = 3x - 3x + 20
∴ 2x = 20
→ Divide both sides by 2 to find x
∵
= ![\frac{20}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7B2%7D)
∴ x = 10
→ Substitute the value of x in the measures of ∠M and ∠O to find them
∵ m∠M = 3(10) + 10 = 30 + 10
∴ m∠M = 40°
∵ m∠O = 5(10) - 10 = 50 - 10
∴ m∠O = 40°
→ The sum of the measures of the interior angles of a Δ is 180°
∵ m∠M + m∠O + m∠N = 180°
∵ 40 + 40 + m∠N = 180
→ Add the like terms
∴ 80 + m∠N = 180
→ Subtract 80 from both sides
∴ 80 - 80 + m∠N = 180 - 80
∴ m∠N = 100°
∵ ∠N is the vertex angle of Δ MNO
∴ The measure of the vertex angle is 100°
Answer:
Outcomes
Step-by-step explanation:
As you can see by the tree diagram below it gives the amount of outcomes of flipping a coin 2 times
Answer:
answer is 20
Step-by-step explanation:
just took the test
Answer:
Vw=6
Step-by-step explanation: