Answer:
B. 4/11
Solution:
Gradient=(y1-y2)/(x1-x2)
Gradient=(6-2)/(4-(-7)) =4/11
1/2n+8=c one half of n plus 8 equals c
Given:
$184500 are to be divided between 2 people.
One person has 80% of what the other person has.
To find:
The amount each one receive in $.
Solution:
Let $x be the amount received by first person. Then,
Amount received by the second person = 80% of x
= 0.80x
Total amount = Amount received by first person + by second person
=
=
Total amount is 184500. So,
So, the amount received by the first person is $102,500.
So, the amount received by the second person is $82,000.
Answer:
measure of ∠ABD = 42°
Step-by-step explanation:
Angle Formed by Tangent and Secant = (1/2)*(difference of Intercepted Arcs)
In this case the intercepted arcs are: minor arc AC and minor arc AD. Let´s first find minor arc AD, we know that:
minor arc AC + minor arc CD + minor arc AD = 360°
Then,
minor arc AD = 360° - minor arc AC - minor arc CD
minor arc AD = 360° - 72° - 132°
minor arc AD = 156°
Replacing in the aforementioned formula:
Angle Formed by Tangent and Secant = (1/2)*(difference of Intercepted Arcs)
∠ABD = (1/2)*(minor arc AD - minor arc AC)
∠ABD = (1/2)*(156° - 72°)
∠ABD = 42°