Answer:
5.48
Step-by-step explanation:
big number - little number
Answer:
Step-by-step explanation:
Given that two tangents to a circle intersect at a point B outside the circle
A and C are points of contact.
By theorem on circles we have angle ABC is equal to 1/2 the difference of intercepted arcs.
Angle of minor arc =110 and hence major arc
Difference =
Measure of angle ABC 1/2 of 140 = 70 degrees.
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Step-by-step explanation:
Answer:
It is a Geometric sequence
Common ratio = 1/5
Step-by-step explanation:
Whole chain: 25, 5, 1, 1/5, 1/25, 1/125, 1/625, 1/3125
Hope this helped
Answer:
Bigger number = 42
Smaller number = 10
Step-by-step explanation:
Step 1: Define variables
<em>x</em> = larger number
<em>y</em> = smaller number
Step 2: Write systems of equations
x + 2y = 62
3x = y + 116
Step 3: Rewrite 1st equation
x = 62 - 2y
Step 4: Substitution
3(62 - 2y) = y + 116
186 - 6y = y + 116
186 = 7y + 116
70 = 7y
y = 10
Step 5: Plug in <em>y</em> to find <em>x</em>
x + 2(10) = 62
x + 20 = 62
x = 42
Answer:
x=5, y=1
Step-by-step explanation:
Isolate x for 5x-3y=22
5x-3y=22
Add 3y to both sides
5x-3y+3y=22+3y
Simplify
5x=22+3y
Divide both sides by 5
5x/5=22/5+3y/5
Simplify
x=22+3y/5
Substitute x=22+3y/5
10*22+3y/5-4y=46
Simplify 10*22+3y/5-4y
10*22+3y/5=2(3y+22)
=2(3y+22)-4y
Expand 2(3y+22)
=6y+44-4y
Simplify 6y+44-4y
=2y+44
Isolate y for 2y+44=46
2y+44=46
Subtract 44 from both sides:
2y+44-44=46-44
Simplify
2y=2
Divide both sides by 2;
2y/2=2/2
Simplify;
y=1
For x=22+3*1/5 substitute y=1
y=22+3*1/5
22+3*1=25
=25/5
Divide the numbers;25/5=5
=5
x=5
The solutions to the system of equations are;
x=5, y=1
