A 10 meter ladder is leaned up against a building. If
1 answer:
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Given:
- the discounted price was offered by the yoga studio at 50% off the regular price 'r' (monthly fee).
- the one-time processing fee is $8.25
- 10 students took this offer and the yoga studio collected $392.50
To Find:
The regular price of the monthly fee 'r'
Solution:
The equation can be framed as
And, the regular price of the monthly fee is $62.
Calculation:
We know that 10 students took the offer and the yoga studio collected $392.50. This means, using the Unitary Method, the studio has collected $(392.50/10) = $39.25 per student.
Now, if r denotes the regular price of the monthly fee, the offer runs a 50% discount on r.
So, the discounted price should be $(r - 50% of r) i.e.,
We must add to this the one time processing fee of $8.25
Therefore, the total price paid by one student would be
This must be equal to $39.25 as we have calculated this to be the amount collected by the yoga studio per person.
So, the equation can be framed as
Thus, the regular price of the monthly fee is $62.
Answer:
m∠K =m∠N
HJ/MP=JK/PN
Step-by-step explanation:
The picture of the question in the attached figure
we know that
if two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
so
<u><em>Verify each statement</em></u>
case a) we have
m∠K =m∠N
The statement is true
Because, angle K and angle N are corresponding angles, and remember that in similar figures corresponding angles are congruent
case b) we have
HJ≅MP
The statement is false
Segment HJ and segment MP are proportional, not congruent
case c) we have
m∠J≅m∠N
The statement is false
Because angle J and angle N are not corresponding angles
case d) we have
HJ/MP=JK/PN
The statement is true
Because, the ratio of its corresponding sides is proportional
so
