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horrorfan [7]
3 years ago
14

In the diagram ,M//N . Identify all of the angles that are congruent to 2

Mathematics
2 answers:
jekas [21]3 years ago
6 0
Angles 4, 6 and 8 because angles 2 and 4 are opposite each other. Angles 2 and 6 are equal and angle 8 is opposite to angle 6 therefor they are equal. Opposite angles are equal.
ZanzabumX [31]3 years ago
5 0

Answer:

Angles 4, 6 and 8.

Step-by-step explanation:

Let α and β be two angles, these will be congruent angles if they have exactly the same measure, that is, α = β.

A line that cuts two parallels forms congruent angles.

When two intercept lines form 4 angles. Those that are opposite to each other are vertical angles, these are always congruent.

In the diagram you can see that the angles congruent to 2 are: 4, 6 and 8.

Angle 4 is opposite to the angle 2, therefore it is congruent.

Angle 6 has the same measure of angle 2 because the lines m and n are parallel.

Angle 8 is opposite angle 6, so it is congruent to angle 2 which is equal to angle.

Hope this helps!

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scoray [572]
Yes!! Good job! You’re correct
6 0
3 years ago
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Which are true about the pyramid? Check all that apply.
Travka [436]

The statements that are true about the pyramid are

  • The base of the pyramid is a square with four sides, each measuring 756 feet.
  • The slant height of the pyramid is 612 feet.
  • All four triangular faces are congruent.
  • The pyramid has four lateral faces.

<h3>Properties of a Square pyramid </h3>

From the question, we are to determine the statements that are true about the pyramid

The diagram shows a square pyramid,

The length of a side of its base is 756 ft

and

The height / altitude of a triangular face is 612 ft

Since the pyramid is a square pyramid,

Then, the base must be a square with each side measuring 756 feet

∴ The first statement is true

Since the height of a triangular face is 612 ft,

Then,

∴ The slant height of the pyramid is 612 feet

NOTE: Slant height of a pyramid is the altitude of the triangle comprising a lateral face

Thus, the second statement is true

Since the triangular faces each have a base of 756ft and a height of 612 ft,

Then,

All four triangular faces are congruent

∴ The fourth statement is true

NOTE: Lateral sides of a solid are the faces on the <u>sides</u> of the shape

The pyramid has four lateral faces which are each a triangle

∴ The last statement is true

Hence, the statements that are true about the pyramid are

  • The base of the pyramid is a square with four sides, each measuring 756 feet.
  • The slant height of the pyramid is 612 feet.
  • All four triangular faces are congruent.
  • The pyramid has four lateral faces.

Learn more on Pyramid here: brainly.com/question/10042135

#SPJ1

4 0
1 year ago
points P and Q lie 240 m apart in line with and on opposite sides of a communications tower. the angles of elevation to the top
Leona [35]

Answer:

The height of the tower is 130.5m

Step-by-step explanation:

In the question, we are given the following values:

The angles of elevation to the top of the tower from P = 50°

The angles of elevation to the top of the tower from Q = 45°

The angles of elevation to the top of the tower from P = 50°

Hence,cot P = 1/ tan(50°)

The angles of elevation to the top of the tower from Q = 45°

Hence, tan 45° = 1

In the question,we are told Points P and Q lie 240 m apart in line with and on opposite sides of a communications tower.

Therefore,

PQ = height of the tower( tan Q + 1/tan P)

240m = height of the tower( tan 45° + 1/ tan 50°)

240m = h(1 + 1/tan 50°)

h = (240 m)/(1 + 1/tan (50°))

h = 130.49863962 meters

Therefore, the height of the tower to the nearest tenth of a meter is 130.5 meters(m)

5 0
3 years ago
How to solve the inequality x+8&gt;2
Nesterboy [21]

Answer:

the answer to the inequality is x>-6

Step-by-step explanation:

x+8>2

x>2-8

x>-6

8 0
3 years ago
Complete the equation describing how x and y are related.<br> Please need help!!!
yKpoI14uk [10]

Answer:

3

Step-by-step explanation:

The equation being used to express the answer is called slope-intercept form.

y = m x + b

m is the slope, b is the y-intercept (where x = 0)

The formula to find slope (m) using two points is called point slope form.

m = (y1 - y2)/(x1 - x2)

Pick two coordinates and plug them in.

m = (1 - 4)/(0 - 1)

m = (-3/-1)

m = 3

5 0
3 years ago
Read 2 more answers
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