point slope form
y-y1 = m(x-x1)
y-9 = 2(x-1)
change to slope intercept form
y-9 = 2(x-1)
distribute
y-9 = 2x-2
add 9 to each side
y = 2x-2+9
y = 2x+7
Answer:
12
Step-by-step explanation:
Let the number of ride tickets = x tickets.
And the total cost is given by y.
Fair charges $1.25 per ticket for the rides.
Johnny bought = 25 tickets.
Therefore, cost of 25 tickets @ $1.25 per ticket = 25 × 1.25 = $31.25
Total amount spent at the fair = $43.75.
Fair admission charge = Total amount spent - Cost of 25 tickets = 43.75 - 31.25 =$12.50.
Therefore, total cost of the fair = Fix fair admission charge + total cost of x number of tickets @1.25 each.
y = 12.50 + 1.25x.
Therefore, y = 12.50 + 1.25x is the linear equation that can be used to determine the cost for anyone who only pays for x ride tickets and $ 12.50 fair admission.
See the picture attached.
We know:
NM // XZ
NY = transversal line
∠YXZ ≡ ∠YNM
1) <span>
We know that ∠XYZ is congruent to ∠NYM by the reflexive property.</span>
The reflexive property states that any shape is congruent to itself.
∠NYM is just a different way to call ∠XYZ using different vertexes, but the sides composing the two angles are the same.
Hence, ∠XYZ ≡ <span>∠NYM</span> by the reflexive property.
2) Δ<span>
XYZ is similar to ΔNYM by the AA (angle-angle) similarity theoremThe AA similarity theorem states that if two triangles have a pair of corresponding angles congruent, then the two triangles are similar.
Consider </span>Δ<span>XYZ and ΔNYM:
</span>∠YXZ ≡ <span>∠YNM
</span>∠XYZ ≡ ∠NYM
Hence, ΔXYZ is similar to ΔNYM by the AA similarity theorem.
Answer: 1/4
Step-by-step explanation:
To determine the probability of landing on blue, you divide by the total number of spins.
In this experiment, the probability of the spinner landing on blue after 20 spins would be 15%.
This makes the probability of landing on blue to be:
Pr (landing on blue) / Pr (total trials) = 5/20
This gives 1/4