Answer:
Option A) Circle.
Step-by-step explanation:
We are given the equation:
A general equation of the circle is of the form:
where (h,k) is the center of the circle and r is the radius of circle.
Comparing the two equations, we get,
Thus, the given equation is equation of a circle centered at (3,12) and of radius 5 units.
Answer:
1680 possible pizzas
Step-by-step explanation:
Pizza contains 2 different meat and 3 different vegetables.
If there are 5 meats and 8 vegetables, the customer can select any one of 3 types of crust.
Total number of ways to select meat = 5C2
nCr = n! /(n-r)! r!
5C2 = 5! / (5-2)!2!
= 5! / 3!2!
= 10
Total number of ways to select vegetables = 8C3
= 8!/(8-3)!3!
= 8! / 5!3!
= 56
Total number of pizza choice that can be made = 3 * 5C2 * 8C3
= 3*10*56
= 1680 possible pizza
Answer:
If they are travelling in opposite directions, their total distance is the 135. So add their distances together to get 135
x=Quinn's speed
x+5 = James' speed
they each travel for 5 hours
speed x time = distance
x(5) + (x+5)(5) = 135
Quinn's distance + James' distance = total distance
5x+5x+25=135
10x = 110
x = 11
Quinn travels at 11 mph and James travels at 16 mph
Quinn travels 55 miles (5x11)
and James travels 80 miles (16 x 5)
80 + 55=135
Answer:
A
Step-by-step explanation:
11/4 hours on the first day
21/4 hours on the second
21-11=10
10/4 hours or 2 2/4
Answer:
(b) ∠EGF ≅ ∠BDC
Step-by-step explanation:
Angles D and G are both marked with double arcs, indicating they are congruent:
∠EGF ≅ ∠BDC
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<em>Other choices</em>:
BD is the short segment between the marked angles. It has no "decoration." EF is the longer segment with a single hash mark decoration. These are not corresponding parts, so are <em>not congruent</em>. There is no right angle in these triangles, so the <em>Pythagorean theorem is not applicable</em>.
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CD is the longest side, with no decoration. EF is the middle-length side with a single hash mark decoration. These are <em>not corresponding sides</em>.
