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3 years ago

The angle bisectors of the triangle are shown below. What is the term for the point of intersection of the angle bisectors?

Mathematics

1 answer:

Reika [66]3 years ago

5 0

Answer:

Incenter

Step-by-step explanation:

Since the bisectores of the triangle intersect at a point.

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Please help me with this math problem.

Shalnov [3]

Answer:

$y - 5 = \frac{5}{4} (x - 1)$ .

Step-by-step explanation:

The relation between variable x and y is linear as the increase of y with respect to x is uniform.

That means the slope of the graph obtained from plotting the points on the coordinate plane is constant and it can be obtained by taking any two pairs of points.

Now, the equation of this straight line graph can be obtained from any two pairs of the given points.

Let us assume the points are (1,5) and (5,10)

Therefore, the required equation of the straight line is

$\frac{y - 10}{10 - 5} = \frac{x - 5}{5 - 1}$

⇒ $y - 10 = \frac{5}{4} (x - 5)$

⇒ $y - 10 = \frac{5}{4}x - \frac{25}{4}$

⇒ $y - 5 = \frac{5}{4} x + 5 - \frac{25}{4}$

⇒ $y - 5 = \frac{5}{4} (x - 1)$ . (Answer)

7 0

3 years ago

What is the slope between the points (4,–1) and (–4,3)?

alex41 [277]

The formula for slope is $\frac{rise}{run} = \frac{y2-y1}{x2-x1}$ .

Subtract y1 from y2. (y1= -1, y2 = 3)

3 - -1 = 4

Now subtract x1 from x2. (x1 = 4, x2 = -4)

-4 -4 = -8

Divide the difference between the y coordinates by the difference between the x coordinates.

$\frac{4}{-8}$ or 4 ÷ -8 = -0.5

<h2>Answer:</h2>

<u>The slope between the two points is </u><u>-0.5</u><u>.</u>

Hope this helpsss

5 0

4 years ago

Show the steps and name the properties you used to solve the equation below

DochEvi [55]

Answer:

0.477121=−log(3x+7)+0.30103

Step 1: Flip the equation.

−log(3x+7)+0.30103=0.477121

Step 2: Add -0.30103 to both sides.

−log(3x+7)+0.30103+−0.30103=0.477121+−0.30103

−log(3x+7)=0.176091

Step 3: Divide both sides by -1.

log(3x+7)=−0.176091

Step 4: Solve Logarithm.

log(3x+7)=−0.176091

10log(3x+7)=10−0.176091

3x+7=0.666667

3x+7−7=0.666667−7(Subtract 7 from both sides)

3x=−6.333333

−6.333333

(Divide both sides by 3)

x=−2.111111

Step-by-step explanation:hope this helps

6 0

3 years ago

Square pyramid is made up of a base with a side length of 10 inches and faces that are triangles with a height of 12 inches what

Nataly [62]

The surface area of the square pyramid is 360 in²

Explanation:

Given that the side length is 10 inches.

The height of the pyramid is 12 inches.

We need to determine the surface area of the pyramid.

The surface area of the pyramid is given by

$SA=s^2+2sl$

Where s is the side length and l is the slant height.

The slant height can be determined using the formula,

$l=\sqrt{h^2+b^2}$

where h = 12 and $b=\frac{s}{2} =5$

Substituting these values in the formula, we get,

$l=\sqrt{12^2+5^2}$

$=\sqrt{144+25}$

$l=\sqrt{169}$

$l=13$

Thus, the slant height is $l=13$

Now, we shall find the surface area of the pyramid.

Substituting $l=13$ and $s=10$ in the formula $SA=s^2+2sl$ , we get,

$SA=10^2+2(10)(13)$

$=100+260$

$SA=360 \ in^2$

Thus, the surface area of the square pyramid is 360 in²

5 0

4 years ago

The graph shows the amount of water that remains in a barrel after it begins to leak. The variable x represents the number of da

lukranit [14]

Answer:

-2 is your answer hope this helps!

8 0

3 years ago

Read 2 more answers