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elena-s [515]
2 years ago
8

Math Help Part 3 (Please Help)

Mathematics
2 answers:
Bezzdna [24]2 years ago
5 0

Answer:

(a) median

(b) angle bisector

(c) altitude

Step-by-step explanation:

  • The <u>perpendicular bisector</u> of a side of a triangle is a line perpendicular to the side and passing through its midpoint.
  • The <u>angle bisector</u> of an angle of a triangle is a straight line that divides the angle into two congruent angles.
  • A <u>median</u> of a triangle is a line segment drawn from a vertex to the midpoint of the opposite side of the vertex.
  • An <u>altitude</u> of a triangle is the perpendicular segment from a vertex of a triangle to the opposite side (or the line containing the opposite side).

(a) median

IG = IH  ⇒  I is the midpoint GH, BUT it is not perpendicular to FI, so median

(b) angle bisector

m∠XYV = m∠ZYV, BUT YV is not perpendicular to XZ, so angle bisector

(c) altitude

m∠BDC = 90° but AD ≠ DC (so not perpendicular bisector)

yulyashka [42]2 years ago
4 0
I wish I could help but I suck at math
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Find the slope of the line containing the points in the table below
zhannawk [14.2K]

Answer:

slope = 3

Step-by-step explanation:

Choose any two points: For example, (2, 4) and (4, 10)

Find the difference in y. This is called the "rise."

rise = 10 - 4 = 6

In the same order, find the difference in x. this is called the "run."

run = 4 - 2 = 2

slope = rise/run

slope = 6/2

slope = 3

6 0
3 years ago
Please helppp with this math question &lt;333
Naya [18.7K]

Answer:

The average rate of change of the function g(x)=x^2+10x+18 over the interval -11 \leq x\leq -1 is -1

Step-by-step explanation:

We are given the function g(x)=x^2+10x+18 over the interval -11 \leq x\leq -1

We need to find average rate of change.

The formula used to find average rate of change is : Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}

We have b=-1 and a=-11

Finding g(b) = g(-1)

g(x)=x^2+10x+18\\Putting \ x=-1\\g(-1)=(-1)^2+10(-1)+18\\g(-1)=1-10+18\\g(-1)=9

Finding g(a) = g(-11)

g(x)=x^2+10x+18\\Putting \ x=-11\\g(-11)=(-11)^2+10(-11)+18\\g(-1)=121-110+18\\g(-1)=29

Finding average rate of change

Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}\\Average \ rate \ of \ change=\frac{9-29}{-1-(-11)}\\Average \ rate \ of \ change=\frac{-10}{-1+11}\\Average \ rate \ of \ change=\frac{-10}{10}\\Average \ rate \ of \ change=-1

So, the average rate of change of the function g(x)=x^2+10x+18 over the interval -11 \leq x\leq -1 is -1

5 0
3 years ago
Three students, Alicia, Benjamin, and Caleb, are constructing a square inscribed in a circle with center at point C. Alicia draw
True [87]

Benjamin is correct about the diameter being perpendicular to each other and the points connected around the circle.

<h3>Inscribing a square</h3>

The steps involved in inscribing a square in a circle include;

  • A diameter of the circle is drawn.
  • A perpendicular bisector of the diameter is drawn using the method described as the perpendicular of the line sector. Also known as the diameter of the circle.
  • The resulting four points on the circle are the vertices of the inscribed square.

Alicia deductions were;

Draws two diameters and connects the points where the diameters intersect the circle, in order, around the circle

Benjamin's deductions;

The diameters must be perpendicular to each other. Then connect the points, in order, around the circle

Caleb's deduction;

No need to draw the second diameter. A triangle when inscribed in a semicircle is a right triangle, forms semicircles, one in each semicircle. Together the two triangles will make a square.

It can be concluded from their different postulations that Benjamin is correct because the diameter must be perpendicular to each other and the points connected around the circle to form a square.

Thus, Benjamin is correct about the diameter being perpendicular to each other and the points connected around the circle.

Learn more about an inscribed square here:

brainly.com/question/2458205

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6 0
2 years ago
2f -g
Sever21 [200]

Answer:

2x4   -  5x1x3 {bracket means times] =8-15=-7

Step-by-step explanation:

2f=2xf=2x4=8

-

g=5x1x3=15

=8-15

=-7

4 0
3 years ago
How to find the area of this figure
stiv31 [10]

Answer:

45 square units.

Step-by-step explanation:

Applying the pythagoras theorem:

Base of the bigger triangle = \sqrt{15^2 - 9^2} = \sqrt{144} = 12 units

Area of a triangle is given by \frac{1}{2} × base × height

The area of the bigger triangle is  \frac{1}{2} × 12 × 9 = 54 square units.

The area of the smallest triangle is  \frac{1}{2} × (12 - 10) × 9 = 9 square units.

The area of the figure( required triangle) is 54 - 9 = 45 square units.

3 0
3 years ago
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