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3 years ago

S is the centroid of the triangle. Find IT if ST= 9

Mathematics

1 answer:

Burka [1]3 years ago

3 0

Answer:

IT = 13.5

Step-by-step explanation:

Recall: According to the Centroid theorem the Centroid of is ⅔ of the distance of the vertex of the triangle to the midpoint of the opposite side.

This means that:

ST = ⅔(IT)

ST = 9 (given)

Substitute

9 = ⅔(IT)

Multiply both sides by 3

3*9 = 2(IT)

27 = 2(IT)

Divide both sides by 2

27/2 = IT

IT = 13.5

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Add parentheses 10+9×3-1×2 equal greater than 75

vitfil [10]

(10 + 9) x (3 - 1) x 2 = +75
19 x 2 x 2
76
76 > 75

5 0

3 years ago

A backpack is on sale for 30% off. If the sales price is $15.75, what is the original price?

Kryger [21]

Answer:

Your answer is 16.05

Step-by-step explanation:

15.75 + 0.3 = 16.05

16.05 - 0.3 = 15.75

5 0

3 years ago

Marta runs a mandarin-orange fruit stand. She is talking to an employee, Maribel, on the phone and trying to tell her the equati

Ivanshal [37]

Answer:

Fifty more than half the number of the oranges is one-hundred-and-twenty.

The sum of fifty and half the number of oranges is the same as one-hundred-twenty.

Step-by-step explanation:

The equation is 50 + one-half m = 120.

Assume the number of oranges=m

50+1/2m=120

1/2m=120-50

1/2m=70

m=70÷1/2

=140

All statement that applies includes:

1. Fifty more than half the number of the oranges is one-hundred-and-twenty.

50+1/2m=120

2. The sum of fifty and half the number of oranges is the same as one-hundred-twenty.

50+1/2m=120

Martha can use the two statements above to communicate the correct equation

8 0

3 years ago

Read 2 more answers

If n lines are drawn in a plane, how many regions do they separate the plane into? induction

grandymaker [24]

Hello,

Let's assume i the number of lines,
u(i) the number of regions:

$u_0=1\\\\
u_1=2=1+1=1+u_0\\\\
u_2=4=2+u_1\\\\
u_3=7=3+u_2\\\\
u_4=11=4+u_3\\\\
u_5=16=5+u_4\\\\
...\\\\
\boxed{u_{n+1}=(n+1)+u_{n}}\\\\

u_{n+1}=(n+1)+n+(n-1)+...+1+u_0\\\\

\boxed{u_{n+1}= \dfrac{(n+1)*(n+2)}{2}+1 }$