Answer:
List One: Sweet - List Two: suite
List One: pray - List Two: prey
List One: poll - List Two: pole
List One: waste - List Two: waist
List One: Manor - List Two: manner
List One: Pier - List Two: Peer
List One: current - List Two: currant
List One: presence - List Two: presents
List One: council - List Two: counsel
List One: stationary - List Two: stationery
Step-by-step explanation:
Answer:
the first
Step-by-step explanation:
The <em><u>correct answers</u></em> are:
KL = 2*JL; JK = (√3)JL; and JK = ((√3)/2)KL
Explanation:
This is a 30-60-90 right triangle. This type of triangle has a special relationship among the sides. Let the smallest side, across from the 30° angle, be t. This means JL = t.
The hypotenuse of the triangle is two times the length of the smallest side; this means that KL = 2t, which means that KL = 2*JL.
The side of the triangle opposite the 60° angle will be the "medium sized" side; it is equal to √3 times the smallest side, or √3t; this gives us that JK = √3t = (√3)JL.
Comparing JK to KL, we have
The t on top and bottom cancel out, leaving us with the ratio (√3)/2. This means that JK = ((√3)/2)KL.
Answer:
7 and 1
Step-by-step explanation:
Let the numbers be a and b.
<u>A positive number is 7 times another number:</u>
<u>If 3 is added to both the numbers then one of the new number becomes 5 by 2 times the other new number:</u>
<u>To solve this we substitute </u><u>a</u><u> with </u><u>7b</u><u> in the second equation:</u>
- 7b + 3 = 5/2 × (b +3) ⇒ multiplying both sides by 2
- 14b + 6 = 5b + 15 ⇒ collecting like terms
- 14b - 5b = 15 - 6
- 9b = 9
- b = 1 ⇒ solved for b
<u>Then, finding a:</u>
- a= 7b
- a=7*1
- a= 7 ⇒ solved for a
<u>So the numbers are</u> 7 and 1
