Since and by inscribed angle theorem,
By transitivity,
This follows from the converse of the theorem that angles subtended on a circle by a chord of fixed length are equal. Here, chord $PQ$ of the circle passing through $PQXY$ subtends equal angles at points $X$ and $Y$ on the circle.
Answer: A
Step-by-step explanation:
I did this test before : )
Answer:
see attached
Step-by-step explanation:
<h3>1.</h3>
Solid dots go at all the end points except the one at (3, 6), which gets an open dot signifying the function is not defined for that point.
For the first portion of the graph, the square root function is shifted left one unit and scaled vertically by a factor of 3.
The second portion of the graph is a line with a slope of -1. It would have a y-intercept of 5 if it were defined there. It has an x-intercept of 5.
<h3>2.</h3>
The y-intercept is found by setting x=0 and solving for y.
... y = log(2·0+1) -1 = log(1) -1 = 0 -1 = -1
The x-intercept is found by setting y=0 and solving for x.
... 0 = log(2x +1) -1
... 1 = log(2x +1) . . . add 1
... 10 = 2x +1 . . . . . . take the antilog
... x = (10 -1)/2 = 4.5 . . . . . subtract 1, divide by the x coefficient
The intercepts are (0, -1) and (4.5, 0).
Ratio is 5girls:7boys with total 72 students
5+7= 12
72➗12= 6
6(5:7)= 30 girls : 42 boys
New ratio is 3:4 with 48 boys
48➗4= 12
So for girls 3x12= 36
<span>So started with 30 girls ended with 36 girls... 6 girls joined band during the school year.</span>
Answer:
4/5x - y = -2 is the answer.