The exterior angle at the intersection of the tangent and secant has a measure that is half the difference between the intercepted arcs.
... ((10x+20) -80)/2 = 2x+15
... 5x -30 = 2x +15
... 3x = 45
... x = 15
So, the unknown arc to the right has measure
.. 10x + 20 = 10·15 +20 = 170
And the arcs of the circle total 360°.
... 80 + z + 170 = 360
... z = 360 - 250 = 110 . . . subtract 250 from both sides
The appropriate choice for the value of z is
... B. 110
Answer:
32
Step-by-step explanation:
267+21=288
288/9=32
(2x^2 + 16x + 30) / (5x^2 + 13x -6)
Start by factoring the numerator and denominator.
Cancel any like factors.
2(x^2 + 8x + 15)
2(x + 5)(x + 3) / (5x -2)(x + 3
2(x + 5) / (5x - 2)
The third choice
Answer:
Step-by-step explanation:
You can just substitute the names for the numers: (all sugar was 3.5+0.75=4.25)
<span>a. granulated to brown sugar?
3.5:0.75
b. flour to brown sugar?
4.5:0.75
c. flour to all sugar?
4.5:4.25
but this looks ugly, so we can simplyfy it. Now, we can mupltiply all numbers by 100! (this will get rid of the .)
</span>
<span><span>a. granulated to brown sugar?
350:75
b. flour to brown sugar?
450:75
c. flour to all sugar?
450:425</span>
and they all are mupliples of 25, so let's divide all by 25!
</span>
<span>a. granulated to brown sugar?
14:3
b. flour to brown sugar?
18:3
c. flour to all sugar?
18:17
now they all look good, but the second one can still be simplified:
</span>
<span>a. granulated to brown sugar?
14:3
b. flour to brown sugar?
6:1
c. flour to all sugar?
18:17
that's the answer!
</span>
