9514 1404 393
Answer:
Step-by-step explanation:
In the left problem, you use the fact that <em>the sum of the segment lengths is equal to the overall length</em>.
AC +CB = AB
(3x -4) +(x -2) = 62
4x -6 = 62 . . . . . collect terms
4x = 68 . . . . . . . add 6
x = 17 . . . . . . . . . . divide by 4
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In the right problem, you use the fact that <em>the sum of the angles is equal to the overall angle</em>. Here, that overall angle is a linear angle, so measures 180°.
∠DFG +∠GFE = ∠DFE
(5y +3) +(2y -5) = 180
7y = 182 . . . . . . . . . . . . . . collect terms, add 2
y = 26 . . . . . . . . . . . . . . . .divide by 7
Answer:
slope = 
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (5, 3 ) and (x₂, y₂ ) = (9, 6 )
m =
= 
Answer:
She had 15 minutes left.
Step-by-step explanation:
30 - 11 = 19
19 - 4 = <em>15</em>
When you divide fractions, you want to use keep change flip.
You keep the 1st fraction, change the division sign into a multiplication sign, then flip the last fraction.
Let’s use 3/4 ÷ 2/3
Keep 3/4 the same, change the division sign into a multiplication sign, and flip 2/3 so that it is 3/2
It’ll look like this
3/4 x 3/2
Now just multiply the numerators, 2 x 3, then multiply the demoninators, 4 x 2.
You get 6/8
Simplify this number and you get 3/4.
If you have any further questions feel free to ask.
Hope this helps.
Answer:
B. 16 feet
Step-by-step explanation:
Hope it helped!