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goblinko [34]
3 years ago
8

Equilateral triangle ABC has a perimeter of 96 millimeters. A perpendicular bisector is drawn from angle A to side BC at point M

. What is the length of MC?
Mathematics
2 answers:
Goshia [24]3 years ago
7 0
The answer is 16 mm on edg 
padilas [110]3 years ago
7 0

Answer: Length of MC is 16 milimeters

Step-by-step explanation:

Since we have given that

There is an equilateral triangle which has a perimeter of 96 milimeters.

As we know the formula for "Perimeter of equilateral triangle "

Perimeter=3\times Side\\\\96=3\times Side\\\\\frac{96}{3}=Side\\\\32\ milimeter=Side

Since a perpendicular bisector is drawn from angle A to side BC at point M.

As we know that perpendicular bisector divide the line segment into two equal parts .

So, Length of MC will be

\frac{32}{2}=16\ milimeter

Hence, Length of MC is 16 milimeters.

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You wish to borrow $8000 for debt consolidation. The bank's interest rate for a personal loan is 7.2%. What is your monthly paym
Lisa [10]
<h3>The monthly payment  is $242.44 for loan to paid off in 3 years.</h3>

Step-by-step explanation:

The amount borrowed = Principal = $8000

The rate of interest = 7.2%

Time (T)  = 3 years

Now, Simple Interest = \frac{P\times R \times T}{100}

\implies SI  = \frac{8000 \times 7.2  \times 3}{100}  = 1,728

So, the total interest = $1728

Now, <u>Amount to be paid  = Principal + Interest</u>

⇒ A = $8000 + $1728  = $8728

Also, 1 year = 12 months

⇒  3 years  = 3 x 12 months  = 36 months

So, total amount to be paid in 36 months is $8728.

⇒The  amount to be paid in 1 month is (\frac{8728}{36} )  = 242.44

Hence, the monthly payment  is $242.44 if loan is to paid off in 3 years.

3 0
3 years ago
The number in a fraction that tells how many equal parts are in the hall or in a group
Paul [167]

I think the answer is "the denominator"

3 0
3 years ago
Teresa drove on monday tuesday and Wednesday. On monday her driving distance was 120 miles. The ratio of Wednesdays distance is
SSSSS [86.1K]

Answer:

Teresa drive <u>90 miles</u> on Tuesday.

Step-by-step explanation:

Given:

Teresa drove on Monday, Tuesday and Wednesday.

On monday her driving distance was 120 miles.

The ratio of Wednesdays distance is 3/5.

The ratio of Wednesdays distance to Tuesday's distance is 5/4.

Now, to find the miles Teresa drive on Tuesday:

Teresa driving distance on Monday was = 120 miles.

Her driving distance on Wednesday is = \frac{3}{5}\ of\ 120.

=\frac{3}{5} \times 120\\\\=0.6\times 120\\\\=72\ miles.

Now, her driving distance on Tuesday is:

\frac{5}{4} \ of\ 72\\\\=\frac{5}{4} \times 72\\\\=1.25\times 72\\\\=90\ miles.

Therefore, Teresa drive 90 miles on Tuesday.

7 0
3 years ago
Question 1/10 points)
lina2011 [118]

the 2nd expression is the answer

5 0
3 years ago
Find the solution of the system of equations.
avanturin [10]

Answer:

3

Step-by-step explanation:

The number is 3.

Step-by-step explanation:

Finding the Number

To find the number, we have to translate the problem above to an algebraic equation. The algebraic equation refers to the statement of the equality of two algebraic expressions.

Equation:

Let "x" be the number.

4 is divided by a number - 4/x

3 divided by the number decreased by 2 - 3/x-2

"4 is divided by a number is equal to 3 divided by the number decreased by 2"

4/x = 3/x-2

Solution:

Cross multiply.

4/x = 3/x-2

x(3) = 4(x-2)

3x = 4x - 8

(Combine similar terms.)

3x - 4x = - 8

- x = - 8

- x/- 1 = - 8/- 1

x = 8

Final Answer:

8

Checking:

4/x = 3/x-2

4/8 = 3/8-2

1/2 = 3/6

1/2 = 1/2 ✔

7 0
3 years ago
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