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Mathematics 15 Online
OpenStudy (atianaaaa):

math help

OpenStudy (atianaaaa):

OpenStudy (atianaaaa):

OpenStudy (anonymous):

For question1, since the rope touches the top of the tree, then by similar triangles, the building must be 32 feet tall.

OpenStudy (atianaaaa):

OpenStudy (anonymous):

question 2 is B. BI = BK This is true because perpendicular lines meet at a right angle.

OpenStudy (atianaaaa):

i got those im at number 7

OpenStudy (anonymous):

for question 3, the intersection of the perpendicular bisectors is (5, 5). Therefore ,circumcenter is (5, 5) so it's A.

OpenStudy (anonymous):

oh wow i'm slow lol

OpenStudy (atianaaaa):

so far you've been right though lol

OpenStudy (anonymous):

Ok let me work on number 7 one second

OpenStudy (atianaaaa):

okay

OpenStudy (anonymous):

The only rule for if three lengths could be a triangle is the sum of the two smaller must be larger than the third, so.... it's B, because 12 + 9 = 21

OpenStudy (anonymous):

for number 8, it has to be B

OpenStudy (atianaaaa):

OpenStudy (anonymous):

for number 9, it is A

OpenStudy (anonymous):

number 10 it would be B since AB = BC

OpenStudy (anonymous):

where are the letters for the fill in the blank? is there a word bank

OpenStudy (atianaaaa):

no word bank

OpenStudy (atianaaaa):

its just fill in

OpenStudy (anonymous):

oh so you have to type in the word?

OpenStudy (anonymous):

11. is midsegment

OpenStudy (anonymous):

12. is equidistant

OpenStudy (anonymous):

13. is perpendicular

OpenStudy (anonymous):

14. is concurrent

OpenStudy (atianaaaa):

3 more ?

OpenStudy (anonymous):

For 15 i already found the answer lol: B is the mid point of AC and D is the mid point of CE In triangles CBD and CAE CB/CA=1/2 CD/CE=1/2 angle C is the common angle so these two triangles are similar therefore all angles are equal , and all triangles are in the same ratio hence BD/AE=1/2 BD=3x+5 AE=4x+20 3x+5/(4x+20)=1/2 6x+10=4x+20 2x=10 x=5 Just type that all in to show work! :)

OpenStudy (anonymous):

For 16. BE= BG+GE BG is one/third of BE and that GE is two/thirds of BE so that is 9 by 1/3 and 9 by 2/3 so the answer would be BG = 6 and GE = 3

OpenStudy (anonymous):

oops my bad lol, BG = 3 and GE = 6

OpenStudy (anonymous):

is there more questions?

OpenStudy (atianaaaa):

yes just 3 more

OpenStudy (anonymous):

ok post them

OpenStudy (atianaaaa):

OpenStudy (anonymous):

17. since presumably triangle DEF is similar to triangle DGF, and since side DF in triangle DEF is congruent to side DF in triangle DGF, then you can assume triangles DEF and DGF are congruent. So side FG is the same length as FE. You can set the expressions equal to each other where n + 9 = 4n - 6. Solve for n: 9 = 4n - n - 6 9 = 3n - 6 9 + 6 = 3n 15 = 3n 15 / 3 = n 5 = n Now substitute n for the expression that is the length of FG which is 4n - 6 4 * (5) - 6 = length FG 20 - 6 = length FG 14 = length FG

OpenStudy (atianaaaa):

i did 20

OpenStudy (anonymous):

type that all in to show your work for number 17

OpenStudy (atianaaaa):

ok

OpenStudy (anonymous):

for number 18, do you know how to sketch a graph of ABC?

OpenStudy (anonymous):

wait, you don't have to show the work for sketching that right? just the steps to find the orthocenter?

OpenStudy (atianaaaa):

yeah

OpenStudy (atianaaaa):

we dont have to draw anything

OpenStudy (anonymous):

Ok that's good Lol hold on let me post the steps for you

OpenStudy (anonymous):

Since AB is a horizonal line, the altitude through C must be a vertical line. So, the orthocenter coordinates can be written as (1, b), and the direction of the altitude from A is (1, b-6), and the direction of BC is parallel to (1, 1). Since the dot product of two perpendicular vector is zero, we have (1, b-6) ⋅ (1, 1) = 0 1 + b-6 = 0 b = 5 Answer: The orthocenter is at (1, 5).

OpenStudy (anonymous):

For 19 just type these in : -circumcenter -incenter -centroid -orthocenter

OpenStudy (atianaaaa):

last ones 21

OpenStudy (anonymous):

ok 1 second

OpenStudy (anonymous):

The incenter is equidistant from each side of the triangle. The incenter is where all of the bisectors of the angles of the triangle meet. The incenter of a triangle is always inside it.

OpenStudy (anonymous):

that's it right?

OpenStudy (atianaaaa):

yes thank you so much ! life saver

OpenStudy (anonymous):

no problem, glad i could help!! i have to go now, bye :) good luck with the rest of your studies!! when's the last day to finish everything for the semester? my deadline is january 22

OpenStudy (atianaaaa):

mines 19

OpenStudy (atianaaaa):

but okay talk to you later

OpenStudy (anonymous):

ohhh good luck, talk to you later :)

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