Answer:
(a) 4
(b) 2√3
(c) 60°
(d) 120°
Step-by-step explanation:
(a) The relationship between tangents and secants is ...
CB^2 = CD·CA
Filling in the given values, we find ...
CB^2 = 2·(2+6) = 16
CB = √16 = 4
The length of BC is 4 units.
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(b) Triangle ABC is a right triangle, so the sides of it satisfy the Pythagorean theorem.
CA^2 = CB^2 +AB^2
8^2 = 16 +AB^2
AB = √48 = 4√3
The radius is half the length of AB, so the radius is 2√3.
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(c) The measure of angle C can be determined from the cosine relation:
cos(C) = CB/CA = 4/8 = 1/2
C = arccos(1/2) = 60°
The measure of angle C is 60°.
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(d) Arc AD is intercepted by angle ABD, which has the same measure as angle C. Hence the measure of arc AD is twice the measure of angle C.
The measure of arc AD is 120°.
Answer:
what did people from the Fruitlands community do in the community?
Residents of Fruitlands ate no animal substances, drank only water, bathed in unheated water and "no artificial light would prolong dark hours or cost them the brightness of morning. Additionally, property was held communally, and no animal labor was used.
Step-by-step explanation:
They would get sick from bathing in unheated water, and really scared and spooky because there was no artificial light.
All from my own words, I hope this suites your Question.
<h2>-<u>
<em>Star</em></u></h2>
Hey there!!
Equations given :
y = x² - x - 20 -------- ( 1 )
y = 3x - 15 ------------ ( 2 )
Now, lets first solve for the 1st equation ...
... x² - x - 20
We can write -x as -5x + 4x
... x² + 4x - 5x - 20
... x ( x + 4 ) - 5 ( x + 4 )
... ( x - 5 ) ( x + 4 )
y = ( x - 5 ) ( x - 4 )
Now, let's solve the second equation ...
y = 3x - 15
... y = 3 ( x - 5 )
We have two equations, now getting them together..
3 ( x - 5 ) = ( x - 5 ) ( x - 4 )
Divide by x-5 on both sides
3 = x - 4
Add 4 on both sides
x = 7
The value of x is 7
Now substituting this, we get the value of y
We have,
y = 3x - 15
... y = 3(7 ) - 15
... y = 21 - 15
... y = 6
Hence, the ordered pair is ( 7 , 6 )
Hope my answer helps!
