Answer:
See explanation
Step-by-step explanation:
In triangles AKU and AVP,
- Angles AKU and AVP are congruent as inscribed angles subtended on the same arc PU
- ∠KAU and ∠VAP are congruent (actually these are the same angles).
AA similarity theorem: If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
By AA similarity theorem, ΔAKU and ΔAVP are similar.
Answer:
fourth option
Step-by-step explanation:
Given
3x < - 9 ( divide both sides by 3 )
x < - 3
solution set is { x | x < - 3 }
Answer:
5−x²+2xy−y²
Step-by-step explanation:
5 - (x-y)²
Rewrite
(x−y)² as (x−y)(x−y) so
5−((x−y)(x−y))
Expand (x−y)(x−y) using the FOIL Method
Apply the distributive property.
5−(x(x−y)−y(x−y))
Apply the distributive property
5−(x⋅x+x(−y)−y(x−y))
Apply the distributive property
5−(x⋅x+x(−y)−yx−y(−y))
Simplify and combine like terms
Simplify each term
5−(x²−xy−yx+y²)
Subtract yx from −xy
5−(x²−2xy+y²)
Apply the distributive property
5−x²−(−2xy)−y²
Multiply −2 by −1
5−x²+2xy−y²
Answer:
2.50 dollars.
Step-by-step explanation:
Given:
Will and his friends buy a large salad to share and several slices of pizza, p.
The graph given shows the total cost for lunch, c and slices of pizza,p.
p is marked horizontally, and c vertically.
Observing the points marked we find that for every increase of one slice of pizza, the cost i.e. c on vertical line increases by 0.50 times vertical grid.
Since each grid equals 5 dollars vertically, we find 1/2 grid increase is equal to increase of 1/2(5 ) =2.50 dollars.
Thus for increase of one slice of pizza, 2.50 dollars cost is increased.
Answer:
CD = 16.5
Step-by-step explanation:
To find the distance between two points, use this formula: 
point C can be info set 1: (10, -1) x₁ = 10 y₁ = -1
point D can be info set 2: (-6, 3) x₂ = -6 y₂ = 3
Substitute the information into the formula
Simplify inside each bracket
Square the numbers
Add inside the root
Enter into calculator
Rounded to the nearest tenth, the first decimal
The distance CD is 16.5.
