On Monday John had $500 . Over the weekend he went out to eat for $ 112and used his debit card for movie tickets that cost $28 .
1 answer:
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<u>Answer:</u>
40%
<u>Step-by-step explanation:</u>
We are given that last month, Joe's puppy weight 5.4 pounds while this month, the puppy weighed 7.56 pounds.
We are to find the percentage increase of the weight of the puppy
We know that the formula of percentage increase if given by:
<em>Percentage increase = (new value - initial value)/initial value × 100</em>
So substituting the given values to get:
Percentage increase in puppy's weight = = 40%
Answer:
m∠CAB = 66°
m∠CAD = 24°
Step-by-step explanation:
<em>m∠CAB</em>
The given parameters are;
The measure of arc m = 228°
The diameter of the given circle =
The tangent to the circle =
The measure of m∠CAB and m∠CAD = Required
By the tangent and chord circle theorem, we have;
m∠CAB = (1/2) × m
However, we have;
m + m
= 360° the sum of angles at the center of a circle is 360°
∴ m = 360° - m
Which gives;
m = 360° - 228° = 132°
m = 132°
Therefore;
m∠CAB = (1/2) × 132° = 66°
m∠CAB = 66°
<em>m∠CAD</em>
Given that is the diameter of the given circle, we have
The tangent, , is perpendicular to the radius of the circle, and therefore
is also perpendicular to the diameter of the circle
∴ m∠DAB = 90° which is the measure of the angle formed by two perpendicular lines
By angle addition property, we have;
m∠DAB = m∠CAB + m∠CAD
∴ m∠CAD = m∠DAB - m∠CAB
By substitution, we have;
m∠CAD = 90° - 66° = 24°
m∠CAD = 24°