I'm assuming D is the center of the circle. See the new figure.
Angle BDC = 106 degrees, that's the definition of arc measure.
Triangle BDC is isosceles (two radii make congruent sides) so the two remaining angles in BDC are equal, DBC=DCB=(180-106)/2=37 degrees.
Angle BAC = 106/2 = 53 degrees, subtending the arc of 106 degrees.
Angle CAD = 53/2 = 26.5 degrees because AD is a bisector, the shared hypotenuse of congruent right triangles AED and AFD.
AFD is also congruent to CFD, so angle DCA is also 26.5 degrees
Angle ACB is the sum of DCA and DCB, ACB = 26.5 + 37 = 63.5 degrees
The angle subtends the arc we seek, whose measure must be double:
10x - 23 = 2(63.5) = 127 degrees
10x = 150
x = 15
Answer: 15
C/3 = 6 1/7
Multiply 3 to both sides:
C = 6 1/7 * 3
Convert 6 1/7 into an improper fraction:
C = 43/7 * 3
Multiply 3 to the numerator:
C = 129/7
Convert back into a mixed number:
C = 18 3/7
Answer:
89
Step-by-step explanation:
Use the mean formula, mean = sum of elements / number of elements.
He wants to keep his average at 85 or higher, so plug in 85 as the mean. Let x represent the score he has to get, and solve for x:
mean = sum of elements / number of elements.
85 = (85 + 76 + 94 + 81 + x) / 5
85 = (336 + x) / 5
425 = 336 + x
89 = x
So, he has to get a 89.
Answer:
Can you put a picture? No picture is showing up for me
Step-by-step explanation:
The simplified expression of the function
is
. f(x) is increasing for all x > –4.The correct answer is option C.
<h3>What is a function?</h3>
A function is defined as a relation between the set of inputs having exactly one output each.
The function expression is given as:
Expand the denominator
Factorize the denominator

Factor out x + 9

The simplified expression of the function
is
. f(x) is increasing for all x > –4
Read more about functions at:
brainly.com/question/1851758
#SPJ1