Answer:
x = 70°
Step-by-step explanation:
Clockwise from top, call the three tangent points A, B, and C. Central angle AXC is the supplement of the marked external angle, so is 140°. Arc AB is bisected by the upper ray of angle x; and arc BC is bisected by the lower ray of angle x. That is to say x is half the measure of arc AC, so is 70°.
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Attached is the output of a geometry program. The angle at lower left is 40° as in the given figure. The central angle α (70°) remains the same as tangent point C is moved around, which is to say that the measure of the angle α does not depend on the dimensions of the triangle containing α. It just depends on the fact that the triangle is tangent to the circle.
Answer:
Assuming there are no other parts,
the Whole = A + B is the denominator:
Whole = 3 + 9 = 12
Part A = 3 and Part B = 9 are numerators for each fraction.
The fractions are then:
3/12 and 9/12
Meaning:
Part A is 3/12 of the whole
Part B is 9/12 of the whole
Reducing the fractions, it is also true that:
Part A = 1/4 of the whole
Part B = 3/4 of the whole
3 is the least common denominator . To find the least common denominator you list all the factors of both numbers and find the smallest one they both have in common beside one.
2r=8+3b
r/(r+b)=5/7
cool problem bro
so first
2r=8+3b
divide both sides by 2
r=4+1.5b
sub 4+1.5b foor r
(4+1.5b)/(4+1.5b+b)=5/7
(4+1.5b)/(4+2.5b)=5/7
times (7)(4+2.5) to both sides (cross multiply)
7(4+1.5b)=5(4+2.5b)
distribute
28+10.5b=20+12.5b
minus 10.5b both sides
28=20+2b
minus 20 both sides
8=2b
divide by 2
4=b
sub back
r=4+1.5b
r=4+1.5(4)
r=4+6
r=10
10 red
4 blue
Answer:
1800./1625 decrease.275..
Step-by-step explanation:
