Answer:
Part 1) m∠1 =(1/2)[arc SP+arc QR]
Part 2)
Part 3) PQ=PR
Part 4) m∠QPT=(1/2)[arc QT-arc QS]
Step-by-step explanation:
Part 1)
we know that
The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.
we have
m∠1 -----> is the inner angle
The arcs that comprise it and its opposite are arc SP and arc QR
so
m∠1 =(1/2)[arc SP+arc QR]
Part 2)
we know that
The <u>Intersecting Secant-Tangent Theorem,</u> states that the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.
so
In this problem we have that
Part 3)
we know that
The <u>Tangent-Tangent Theorem</u> states that if from one external point, two tangents are drawn to a circle then they have equal tangent segments
so
In this problem
PQ=PR
Part 4)
we know that
The measurement of the outer angle is the semi-difference of the arcs it encompasses.
In this problem
m∠QPT -----> is the outer angle
The arcs that it encompasses are arc QT and arc QS
therefore
m∠QPT=(1/2)[arc QT-arc QS]
Answer:
To understand this, bags of gas added make it go up, while bags of sand added make it go down:
1). Add bags of gas | balloon goes UP | 3 bags of gas ( +3 ), 10 bags of sand ( +10 )
2). Add bags of sand | balloon goes DOWN | 3 bags of sand ( -3 ), 10 bags of sand ( -10 )
3). Subtract bags of gas | balloon goes <u>DOWN</u> | subtract 3 bags of gas <u> </u><u>-</u><u> </u>(<u> </u><u>+</u><u>3</u><u> </u>), subtract 10 bags of gas <u> </u><u>-</u><u> </u>(<u> </u><u>+</u><u>1</u><u>0</u><u> </u>)
4). Subtract bags of sand | balloon goes <u> </u><u>U</u><u>P</u><u> </u> | subtract 3 bags of sand <u> </u><u>-</u><u> </u>(<u> </u><u>-</u><u>3</u><u> </u>), subtract 10 bags of sand <u> </u><u>-</u><u> </u>(<u> </u><u>1</u><u>0</u><u> </u>)
<h2>
HOPE THIS HELPS.</h2>
Answer:
60000000.00
Step-by-step explanation:
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A. A= ray and r=2
That’s the answer
The combination formula is given by
C(n, r) =
C(11, 8) =
C(11, 8) = 165
So, there are 165 ways of choosing 8 flowers out of 11 flowers