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Lyrx [107]
3 years ago
12

True or false? in order to inscribe a circle in a triangle, the circle's center must be placed at the circumcenter of the triang

le

Mathematics
1 answer:
Dvinal [7]3 years ago
6 0

Answer:

<h2>False.</h2>

Step-by-step explanation:

A inscribe circle in a triangle means to draw the biggest circle possible inside such triangle. To do that perfectly, we first have to find the incenter of the circle, which is the intersection of all three internal bisector of the triangle, that point is the center of the inscribed circle.

Therefore, the statement is false.

In addition, a circumcenter allow to perfectly draw a circumscribed circle, which is outside the triangle, which is not the case here.

An image showing the inscribed circle is attached.

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A coon bank contains only quarters and dimes.There are 25 coins in all.Seven of the coins are dimes.What fraction of the couns a
iris [78.8K]

Answer:18/25

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Divide the following fractions<br><br> 3/4 ÷ 2/3<br><br> 1/2<br> 8/9<br> 9/8<br> 2
kifflom [539]

Answer:

9/8

Step-by-step explanation:

3/4 ÷ 2/3

= 3/4 x 3/2

= (3 x 3)/ (4 x 2)

= 9/8

6 0
3 years ago
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A group of students takes a test and the average score is 72. One more student takes the test and receives a score of 88 increas
Stells [14]

Answer:

3 student.

Step-by-step explanation:

From the first statement:

Let the total score be T

Let the total number of student be x

The average of the score = 72

Average = Tota score / number of student

72 = T/x

Cross multiply

T = 72x ..... (1)

Second statement:

One more student took the test and the average becomes 76 with the student having a score of 88.

Therefore,

Overall score = T + 88

Total student = x + 1

Average = 76

Average = overall score / total number of student

76 = (T + 88) /(x + 1)

Cross multiply

76(x + 1) = T + 88

Clear bracket

76x + 76 = T + 88

From equation 1

T = 72x

76x + 76 = 72x + 88

Collect like terms

76x – 72x = 88 – 76

4x = 12

Divide both side by the coefficient of x i.e 4

x = 12/4

x = 3

Therefore, the initial number of the student were 3.

4 0
3 years ago
Transform the equation x-3y=-15 to express it in slope-intercept form
tiny-mole [99]
X -3y = -15

Subtract 'x' from each side:

-3y = -x - 15

Divide each side by -3 :

<em>y = 1/3 x + 5</em>

This is 'slope-intercept' form.
3 0
3 years ago
F(x)=kx+6 and find f(2)=16 find f(4)
Vikentia [17]

Answer:

f(4)=26

Step-by-step explanation:

f(2)=16

F(x) = kx+6

16=k(2)+6

16-6=k(2)

10=k(2)

<u>10</u> =<u>k(</u><u>2</u><u>)</u>

2 2

5= k

f(4)=k(4)+6

=5(4)+6

=20+6

f(4)=26

5 0
2 years ago
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