Answer:
12.5
Step-by-step explanation:
y varies inversely as x.
y = k/x
10 = k/20
200 = k
The constant proportion k is 200.
16 = 200/x
Cross multiply.
200 = 16x
200/16 = x
x = 12.5
Graph A shows a consistent relationship between time and distance. We know this fact because as seen in graph A the line is straight and progresses without any changes. The slope and line is consistent, meaning that the relationship between time and distance is also consistent. Some differences between graph a and b is that graph b does no carry on in a straight line, it goes up and down and isn’t consistent. One difference is that graph a has a direct positive relationship, meaning that as the x variable increases, so does the y variable. This isn’t true for graph b though.
Answer:
$80 is the 100% original price
The sale price is $56 with 30% off and $24 in savings.
Step-by-step explanation:
We can write a proportion. We know that $24 is a 30% off discount of an unknown original price. Let's call it x. We write equal ratios of comparing percent and comparing the 24 to the original price. We then set them equal.
We then cross multiply across the equal sign from numerator to the opposite numerator.
30(x)=24(100)
30x=2400
We divide to find x.
x=80.
Since we saved $24 as a discount, the sale price would be 80-24=56.
Answer:
225° or 315°
Step-by-step explanation:
If sin Ф = -1, Ф must be in Quadrant III or Quadrant IV.
sin Ф = (opposite side) / hypotenuse. The opposite side is negative only in Quadrant III and Quadrant IV.
The angle Ф is either 225° or 315°
Answer:
The Proof for question no 20 and 21 are below.
Step-by-step explanation:
20.
Given:
∠PTR≅∠RSP
PT ≅ RS
To Prove:
ΔPQT ≅ ΔRQS
Proof:
In ΔPQT and ΔRQS
Statements Reasons
1. ∠PTR ≅ ∠RSP 1 .Given
2. ∠PQT ≅ ∠ROS 2. Vertical Opposite Angle Theorem.
3. PT ≅ RS 3. Given
4. ΔPQT ≅ ΔRQS 4. By A-A-S Congruence Postulate ....Proved
21.
Given:
PO ≅ SO
O is the Mid Point of NT
To Prove:
∠N ≅ ∠T
Proof:
In ΔPON and ΔSOT
Statements Reasons
1. PO ≅ S O 1 .Given
2. ∠PON ≅ ∠SOT 2. Vertical Opposite Angle Theorem.
3. NO ≅ TO 3. O is the Mid Point of NT
4. ΔPON ≅ ΔSOT 4. By S-A-S Congruence Postulate
5. ∠N ≅ ∠T 5. Corresponding Parts of Congruent Triangles are Congruent .( CPCTC )...Proved