Answer:
12 units
Step-by-step explanation:
Point H is the intersection of the medians, so divides each median into parts with the ratio 2:1. Here, that is ...
CH : HG = 2 : 1 = CH : 6
Then CH = 2×6 = 12.
_____
Alternatively, you could determine altitude CG from the Pythagorean theorem applied to triangle BCG. You would compute ...
CG² +GB² = BC²
CG = √(BC² -GB²) = √(19.8² -8²) = √146.7 ≈ 12.1
This is an approximation based on the fact that the value 9.9 for BF is an approximation. Based on BG and GH being integer values, the appropriate measure of BF is (√388)/2 ≈ 9.8489.
(The triangle shown cannot exist.)
First you need to set up a formula. Underline all of your givens:
<u>Spent 1/2 on clothes
$6 more for washing windows
Ended with $10.
</u>
now you need to set up an equation.
<u>
</u>You know she ended up with $10. So that will be what it equals. Then you know that she earned $6 in addition to her allowance. So this would be (x= allowance) (x+6)/2 = 10.
<u>
</u>Now you need to solve for x.
Multiply both sides by 2.
<u>
</u>x+6=20<u>
</u>Now subtract both sides by 6 to get x alone:
<u>
</u>x=$14<u>
</u><u>
</u>
Answer:
Step-by-step explanation:
(-x + 3) - (4x - 10)
= - x + 3 - 4x + 10 (because when you see the minus sign you have to change all the sign inside the bracket)
= -5x + 13 (this step is just subtract -x and -4x and 10 + 3)
Answer 8x - 20
Step-by-step explanation:
6(2x - 3) - 2(2x + 1)
Distribute
6(2x) -6( 3) - 2(2x) -2( 1)
12x -18 -4x -2
Combine like terms
12x -4x -18 -2
8x-20
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