m=2 and c=3
see the attachment for the detailed solution
Answer:
4xy + 6x
Step-by-step explanation:
2xy + 2x + 4x + 2xy
combine like terms:
4xy + 6x
Answer:
$0.03
Step-by-step explanation:
2.31/11 =.21
2.70/15 =.18
.21-.18 = .03
Answer:
Eldest: $298500
Middle: $165250
Youngest: $149250
Explanation:
We can show the siblings like this:
e=2y (eldest)
m=16000+y (middle)
To find the value of y, or the youngest sibling, we use an equation.
2y+16000+y+y=613000
Simplify:
4y+16000=613000
Subtract 16000 on both sides:
4y=597000
Divide both sides by 4:
y=149250
The youngest received $149250.
Knowing this, we can plug in the numbers into the original formulas:
e=2(149250)=298500 ...or $298500
m=16000+149250=165250 ...or $165250
y=149250 ...or $149250
Add all those numbers up, and you reach $613000.
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]