≅Answer:
See below.
Step-by-step explanation:
If we rotate the shape on the right 90 degrees counterclockwise we see they fit together, because they are congruent. They are exactly equal in size and shape - that's what congruent means.
So the following angles are equal in measure:
m < A = m < R
m < B = m < S
m < C = m < P
m < D = m < Q.
Corresponding sides are also equal in length:
Sides AB = RS
BC = SP
CD = PQ
AD = RQ.
Note: in the US the symbol ≅ is used for equality of sides. I think it means 'is congruent to'. (I'm from the UK).
Answer:
Interest Charged = $80
Total payback = $480
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Present Value (PV) = $400
Time period (n) = 4 years
Interest rate (r) = 5%
So, we can calculate the future value(FV), by using following formula,
FV = PV ( 1 + n × r)
By putting the value, we get
FV = $400 ( 1 + 4 × 0.05)
= $480
Hence total amount she has to pay back = $480.
Interest charged = FV - PV
= $480 - $400
=$80
Answer:
20 and 25.
Step-by-step explanation:
Given:
They both teach total 45 yoga classes each week.
Erica teaches 15 fewer than twice as many as Bo.
To find:
How many classes does each instructor teach per week = ?
Solution:
Let number of classes are taken by Bo = 
Then number of classes are taken by Erica = 
(given)
Total number of classes are taken by both = 45 (given)
According to the question.
+ = 45
By adding both side by 15
By dividing both side by 3
number of classes are taken by Bo = = 20
number of classes are taken by Erica =
= 
Therefore, number of classes are taken by Bo and Erica is 20 and 25.
Answer:
The proportion that can be used to find x is;
(200-x)/x = 7/6
Step-by-step explanation:
Now, we want to find the proportion which can be used to find x.
From the question, we are told that the father skater traveled 7 ft for every 6 ft of the slower skater;
this means that the ratio of their speed is 7:6
Now, when they passed each other , the slower skater has traveled x ft, what this means is that the faster skater will have traveled a distance of (200-x) ft at that moment they passed each other.
Mathematically, since their time is equal i.e the time they used to pass each other, then, the ratio of their distances is same as the ratio of their speeds;
Hence;
(200-x)/x = 7/6 or x/(200-x) = 6/7
