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4 years ago

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

Mathematics

1 answer:

guajiro [1.7K]4 years ago

6 0

Answer:

The given statement is true.

Step-by-step explanation:

In order to inscribe a circle in a triangle, the circle's center must be placed at the incenter of the triangle.

This statement is true.

The INCENTER is the center of the circle that is inscribed in the triangle. Like the centroid, the incenter is always inside the triangle.

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Which of the following numbers is not between -2.6 and 1.3 on the number line?

Naya [18.7K]

Answer:

1.4

Step-by-step explanation:

-2.6---------------1.3

0.5 is between

-2.1 is between

1.4 is not between

-1.8 is between

7 0

3 years ago

What is the equation of a line that passes through the point (8, −2) and is parallel to the line whose equation is 3x + 4y = 15?

Dafna1 [17]

Step 1

<u>Find the slope of the given line</u>

we have

$3x+4y=15$

Isolate the variable y

Subtract $3x$ both sides

$3x+4y-3x=15-3x$

$4y=-3x+15$

Divide by $4$ both sides

$y=-\frac{3}{4}x+ \frac{15}{4}$

the slope of the given line is

$m=-\frac{3}{4}$

Step 2

Find the equation of the line that passes through the point $(8,-2)$ and is parallel to the given line

we know that

if two lines are parallel, then their slopes are equal

The equation of the line into point-slope form is equal to

$y-y1=m(x-x1)$

we have

$m=-\frac{3}{4}$

$(x1,y1)=(8,-2)$

substitute in the equation

$y+2=-\frac{3}{4}(x-8)$

$y=-\frac{3}{4}x+6-2$

$y=-\frac{3}{4}x+4$ or $3x+4y=16$

therefore

<u>the answer is</u>

$y=-\frac{3}{4}x+4$

$3x+4y=16$

8 0

3 years ago

A soda machine takes 3 seconds to fill a 15-ounce cup. If t represents the time in seconds, which equation can you use to find h

Svet_ta [14]

Information we know:

a 15 ounce cup takes 3 second to fill

determine variables:

x=3

y=15

rate:

y/x=3/15= 0.2

fixture an equation:

y=kx

y=0.2x

plug in 40 for x:

y=0.2(40)

Thus, it should take 8 seconds to fill a 40-ounce cup of soda.

8 0

3 years ago

Read 2 more answers

What are the solutions to the system of equations graphed below?

PIT_PIT [208]

Answer:

(-3,-3) and at (0,6)

Step-by-step explanation:

The solution to the system of equations is where the graphs intersect

The graphs intersect at (-3,-3) and at (0,6)

3 0

3 years ago

David is pouring an entire gallon of milk into 12 glasses. What part of a gallon will be in each glass

expeople1 [14]

This question calls for a fraction. In a fraction, the numerator (top number) is the number of parts, while the denominator (bottom number) is the total number of parts. One part is one glass of milk, and there are 12 parts total. So, we get the answer 1/12.

Answer: 1/12

7 0

3 years ago

Read 2 more answers