There are 7 yellow, 5 green, and 3 blue party hats in a bag. you randomly choose a yellow party hat and put it on. then your fri

Answer:

On a coordinate grid, a triangle is defined by the points R' (1, 2), S' (3, -1), T' (7, 1)

Step-by-step explanation:

We can interpret the coordinates of the triangle's vertices as...

R(-2, 1), S(1, 3), T(-1, 7)

Applying the transformation (x, y) ⇒ (y, -x), these coordinates change to...

R'(1, 2), S'(3, -1), T'(7, 1) . . . . . (this corresponds to the first option)

Answer:

The cost for a 2,000 square foot house is

Detailed explanation:

Recall that if two variables x and y vary directly, the relationship can be written as or .

Define:

x as the house area in square feet

y as the price of the house

Given point (1500, 300000)

Calculate proportionality constant k:

Insert values:

The direct variation equation is:

For x = 2000:

Calculate y:

Replace x in equation:

Answer:

Hector will purchase 6 bags of peanuts and 2 bags of popcorn.

Step-by-step explanation:

His plan includes buying 6 peanut bags for a total of $12 and 2 popcorn bags totaling $2. He aimed for 8 bags of snacks overall, with a maximum budget of $14. Hope this is helpful!!!:)

Answer:

Reason: the total sum of all angles inside any triangle equals 180º.

Step-by-step explanation:

1) Organization

Statement 1. m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° 1. Reason: given

2) Given that the sum of all internal angles in any triangle is always 180º, similar to the formula. N represents the number of sides of a triangle:

3) We can also state

Like in the other triangle:

4) Therefore,

Reason: The total of the internal angles is equal to 180º.