Answer: Choice C
Vertex = (5, -2)
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Explanation:
Vertex form is 
where the vertex itself is located at (h,k)
As the name implies, we can very quickly pull out the coordinates of the vertex without doing much math at all.
In the case of choice C, we have 
which is the same as 
and we can see that h = 5 and k = -2. Therefore, the vertex is located at (h,k) = (5, -2)
Answer:
D
Step-by-step explanation:
You have 2 5 12 13 right triangles.
x = 2 * 5
x = 10
Answer:
∠RPQ = 27
Step-by-step explanation:
In ΔSRQ,
∠R = 90
∠SQR = 36°
∠R + ∠SQR + ∠RSQ = 180 {Angle sum property of triangle}
90 + 36 + ∠RSQ = 180
126 + ∠RSQ = 180
∠RSQ = 180 - 126
∠RSQ = 54°
∠PSQ +∠RSQ = 180 {Linear pair}
∠PSQ + 54 = 180
∠PSQ = 180 - 54
∠PSQ = 126
In ΔPSQ,
SQ = PS ,
So, ∠SQP = ∠SPQ {Angles opposite to equal sides are equal}
∠SQP = ∠SPQ =x
∠PSQ + x +x = 180 {Angle sum property of triangle}
126 + 2x = 180
2x = 180 - 126
2x = 54
x = 54/2
x = 27
∠RPQ = 27°
Answer:
2.5
Step-by-step explanation:
so LM is 3 right, right?
so PQ is 6
what they did to get that is they doubled 3 so 3x2=6
so if we divide 5 by 2 we get 2.5 because 2.5+2.5= 5
and that is how i got 2.5
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Answer: 250 m
Step-by-step explanation:
Given
Distance between Ursula and Velda house is 4 km or 4000 m
Ursula walks at the rate of 
Velda walks at the rate of 
Time taken by them to cover 4000 m is
Distance covered by them 15 min before they meet
Ursula 
Velda 
The total length covered by them is 
They are 
apart before they meet
