angelA and angelB are complementary angles. If m angel = ( x-23)° and m angel B = (2x + 29°) then find the measure of angle B.
1 answer:
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(a) Linear Equation:
(b) x-intercept : (10,0)
(c) y-intercept : (0,200)
(d) Domain : {0,1,2,3,4,5,6,7,8,9,10}
Range : {0,1,2,...,200}
Step-by-step explanation:
Step 1: As we can see in graph, money in Carla is decreasing in multiples of 20 can be referred as 20x.
Every week $20 is getting deducted from the total amount of $200.
Step 2: (a) So we can quote it in equation as,
where x represents number of weeks
Step 3: (b) x-intercept is where value of y becomes 0.
So, referring graph we can determine x intercept as x = 10. Point (10,0). which also means no money left in account.
Step 4: (c) y-intercept is where value of x becomes 0.
So, referring graph we can determine y intercept as y = 200. Point (0,200). which is starting value of money in account.
Step 5: (d) Domain : {0,1,2,3,4,5,6,7,8,9,10}
Range : {0,1,2,...,200}
Answer:
FG=30
Step-by-step explanation:
Since we know that Point G is on the Segment FH, it doesn't really matter where G is, but we can know for certain that:
We are given that FH is 4x, GH is x, and FG is 2x+10. Substitute:
Solve for x. On the right, combine like terms:
Subtract 3x from both sides:
So, the value of x is 10.
To find the value of FG, substitute 10 into its x:
Multiply:
Add:
And we're done!