the sum of all interior angles in a polygon is 180(n - 2), where n = number of sides.
well, this is a quadrilateral, so it has 4 sides so it has a total of interior angles of 180(4-2) = 360°, since this is a kite, then <u>one pair of opposite angles are congruent</u>, namely ∡C = ∡A.
360° - 45° - 100° = 215°, and ∡C and ∡A split that evenly, so ∡C = 107.5°.
Answer: The equation that has a graph which is a parabola with a vertex at (5, 3) would be y = (x – 5)^2 + 3. The general form of a parabola which the vertex is not in the origin is expressed as y = a(x - h)^2 + k where (h,k) represents the vertex.
Answer:
1. x=6
2. C <-26
3. p<6
4. -5x-44
Step-by-step explanation:
1. 2x = 3(x-2) - 3(x-6)
Distribute
2x= 3x-6 -3x+18
Combine like terms
2x =12
Divide by 2
2x/2 =12/2
x=6
2. C+6<-20
Subtract 6 from each side
C+6-6 < -20-6
C <-26
3. -5p > -30
Divide by -5. Remember to flip the inequality when dividing by a negative
-5p/-5 < -30/-5
p<6
4. -4 - 5(X+8)
Distribute
-4 -5x-40
Combine like terms
-5x-44
To calculate problems abound about compounding interest use the equation <span>A = P (1 + r/n)^<span>(nt), where A is the future price, P is the principal amount, r is the interest rate, n is the number of times the interest is compounded per year and t for the total years. To solve, A = 100 (1 + 0.08/1)^(1 x 15) = 317.22.</span></span>
Answer:
13,800 pounds
Step-by-step explanation:
one ton = 2000 pounds
7 tons = 14,000 pounds
14,000 - 200 = 13,800 pounds
