Answer:
Step-by-step explanation:
The picture of the question in the attached figure
step 1
Find the value of x
Let
O ----> the center of the circle
we know that
Triangle BOC≅Triangle COD
----> by central angle
----> by central angle
therefore
substitute the given values
solve for x
step 2
Find the measure of angle BAD
we know that
The inscribed angle is half that of the arc it comprises.
so
![m\angle BAD=\frac{1}{2} [arc\ BC+arc\ CD]](https://tex.z-dn.net/?f=m%5Cangle%20BAD%3D%5Cfrac%7B1%7D%7B2%7D%20%5Barc%5C%20BC%2Barc%5C%20CD%5D)
substitute
![m\angle BAD=\frac{1}{2} [73^o+73^o]=73^o](https://tex.z-dn.net/?f=m%5Cangle%20BAD%3D%5Cfrac%7B1%7D%7B2%7D%20%5B73%5Eo%2B73%5Eo%5D%3D73%5Eo)
Answer:
$40
Step-by-step explanation:
x is the original price of the gift
(10% of x) is the value of the discount
(10% of x) = 10/100 . x = 0.1 x
0.1 x is the value of the discount
x - (10% of x) is what was paid, after the discount
x - 0.1 x = 0.9 x
0.9 x is what was paid
4 children paid $9/each
4 times $9 = $36
$36 is the total amount that was paid by the children
$36 = 0.9 x
$36 / 0.9 = x
x = $36 / 0.9 = 360 / 9
x = 40
;-)
Answer: g(x) is the image of f(x)
Step-by-step explanation:
multiplying the x value by -1 means you reflect that point across y-axis, therefore, g(x) is the reflection of f(x) across y-axis.
Answer:
There are asymptotes at x = three-halves and x = negative one-third.
Step-by-step explanation:
f(x) = (x + 1)/ (6x^2 - 7x - 3)
= (x + 1)( / (6x^2 + 2x - 9x - 3)
= (x + 1) / (2x(3x + 1) - 3(3x + 1))
= (x + 1) / (2x - 3)(3x + 1)
Now x = 3/2 and x = -1/3 both make te denominator zero so these are both asymptotes.
Her friend's house is 1/12 miles away from her house.
Since 1/4 miles is 1/3 of the way, 1/4 x 1/3 = 1/12.
