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MrRa [10]
3 years ago
11

Help Please! Due Today In △ABC the points M and N belong to the sides AC and AB respectively. AM/MC=AN/NB=2/3. Prove that MN∥BC.

Find MN if BC=20.
Mathematics
2 answers:
sasho [114]3 years ago
5 0

Answer:

It does = 20 you're correct :)

Step-by-step explanation:

Ratling [72]3 years ago
4 0

Answer:

MN=8

Step-by-step explanation:

since AM/AC = AN/AB = 2/5,

then ∆ABC similar to ∆ANM.

since ∆ABC ~ ∆ANM,

then MN || BC.

by similarity

MN = BC•2/5 = 8

You might be interested in
TV−→− bisects ∠RTS. If the m∠RTV=(16x−6)° and m∠VTS=(13x+9)° , what is the value of x and the m∠RTV ?
natta225 [31]

Answer:

x = 5

RTV = 74

Step-by-step explanation:

Given

RTV=16x - 6

VTS=13x+9

Required

Determine the values of x and RTV

Since, TV is a bisector, then

RTS = RTV + VTS --- (1)

and

RTV = VTS -- (2)

Substitute values of RTV and VTS in (2)

16x - 6 = 13x + 9

Collect Like Terms

16x - 13x = 9 + 6

3x = 15

Solve for x

x = 5

Substitute 5 for x in RTV=16x - 6

RTV = 16 * 5 - 6

RTV = 80 - 6

RTV = 74

8 0
3 years ago
A bag contains 30 cookies: 9 vanilla, 9 chocolate, and 12 oatmeal. What is the probability that a chocolate is randomly selected
telo118 [61]

There is 9 chocolate cookies, so the probability of choosing chocolate is \frac{9}{30}. We then simplify to get \frac{3}{10}, or 0.3.


3 0
3 years ago
PLEASE ANSWER ASAP! What is the radius of a sphere if its surface area is 314 square inches? (Use 3.14 for π.)
lina2011 [118]

surface area of a sphere formula: A=4πr^2

314=4 x 3.14 x r^2 => r=5

It's B

3 0
3 years ago
According to a recent​ survey, the probability that the driver in a fatal vehicle accident is female​ (event F) is 0.2805. The p
Aleks [24]

Question d:

(D) Find the probability of F'nA'

Answer:

0.4140

0.7619

0.2381

0.9576

Step-by-step explanation:

Given that :

Female in fatal accident P(F) = 0.2805

Driver is 24 years or less P(A) = 0.1759

Driver is female and 24 years or less P(FnA) = 0.0424

A.) Find the probability of FUA.

P(FUA) = P(F) + P(A) - P(FnA)

= 0.2805 + 0.1759 - 0.0424

= 0.4140

(b) Find the probability of F'UA.

P(F'UA) = 1 - P(F) + P(FnA)

= 1 - 0.2805 + 0.0424

= 0.7619

C.) P(FnA') = 1 - P(F'UA)

= 1 - 0.7619

= 0.2381

(d) Find the probability of F'nA'

P(F'nA') = (FnA)' = 1 - (FnA)

= 1 - 0.0424

= 0.9576

4 0
3 years ago
Help anyone ??? Please
lana [24]
Angle F is equal to angle G so 5x + 18 = 7x-12 so you would solve for x which would equal 15
7 0
3 years ago
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