Answer as a fraction: AB = 127/13 (exact)
Answer in decimal form: AB = 9.76923 (approximate)
Sides AC and BC are the same length as AB.
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Work Shown:
AB = (3/2)x+4
AC = (1/5)x+9
These sides are equal to each other since all sides of an equilateral triangle are the same length.
AB = AC
(3/2)x+4 = (1/5)x+9
10*[ (3/2)x+4 ] = 10*[ (1/5)x+9 ] ... see note below
10*(3/2)x + 10*4 = 10*(1/5)x + 10*9
15x + 40 = 2x + 90
15x-2x = 90-40
13x = 50
x = 50/13
Note: I multiplied both sides by the LCD (lowest common denominator) 10 to clear out the fractions.
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Once we know what x is, we plug it into the expression for AB
AB = (3/2)x+4
AB = (3/2)*(50/13) + 4
AB = (3*50)/(2*13) + 4
AB = (3*2*25)/(2*13) + 4
AB = (3*25)/(13) + 4
AB = 75/13 + 4
AB = 75/13 + 52/13
AB = (75+52)/13
AB = 127/13 which is exact
AB = 9.76923 which is approximate
Because we have an equilateral triangle, AB = BC = AC.
Answer:
y = x
Step-by-step explanation:
Slope-intercept form is the form that looks like
... y = mx + b . . . . . . for slope m and y-intercept b
The line connecting points D and E has slope 1 and y-intercept 0, so the equation is ...
... y = 1·x + 0
... y = x . . . . . . without the identity elements
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<em>Comment on the marked choice</em>
The choice that is marked is the equation in <em>point-slope form</em> using the point E (4, 4). That is not the form requested by the problem.
Answer:
6 ketchup / 1 mustard
Step-by-step explanation:
3 ketchup = 0.5 mustard
6 ketchup per 1 mustard
Answer:
Step-by-step explanation:
one way to describe the prime version of ABCD is that the sides are all 3 times that of the non- prime version. So they are when scaled by 3 .. the same.
The answer is 600 because 1 out 3 is 60 so to find the bag multiply by two while to find 1 out 5 of her monet take 60 times 3 which is 180. 180 times 4 is the money she spent on her mobile phone so take the money spent on her mobile phone(720)minus the amount of money spent on the bag(120)
