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Soloha48 [4]
3 years ago
14

If PQ and RS intersect to form four right angles which statement is true

Mathematics
2 answers:
Rus_ich [418]3 years ago
7 0
Given that PQ and RS intersect to form four right angles, then they form an angle of 90 degrees, this implies that:
if the meet at point O, 
then;
∠POR=∠POS=∠QOS=∠ROQ=90°
Therefore the correct statement is:
PQ is perpendicular to RS
that is to mean:
PQ⊥RS
The answer is C.
Aliun [14]3 years ago
3 0

Answer:

Given: PQ and RS intersect to form four right angles.

Option C is correct.i.e., PQ ⊥ RS

Because Perpendicular means a line intersecting another at right angles and making 4 right angles between them. Here, also PQ intersect with RS at right angles and makes 4 right angle

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Parallel Lines Cut by a Transversal: Maze
CaHeK987 [17]

Start from Start Here square, the pointer to the next question to resolve is given by the solution to the equation in the current square

The values of the Maze are as follows;

  1. x = 10
  2. x = 8
  3. x = -9
  4. x = 5
  5. x = 11
  6. x = 3
  7. x = -5
  8. x = 9
  9. x = 7
  10. x = -7

Reason:

The solutions are;

10·x + 15 = 12·x - 5  by alternate interior angles theorem

  • ∴ x = 10

6·x + 6 = 5·x + 14 by alternate exterior angles theorem

  • ∴ x = 8

x + 109 = 100 by corresponding angles theorem

  • ∴ x = -9

11·x + 5 + 120° = 180° by same side interior angles theorem

  • ∴ x = 5

11·x - 1 = 10·x + 10 by corresponding angles theorem

  • ∴ x = 11

35·x + 5 = 110 by corresponding angles theorem

  • ∴ x = 3

x + 85 + x + 105 = 180 by same side interior angles theorem

  • ∴ x = -5

7·x - 3 + 12·x + 12 = 180° by same side interior angles theorem

  • ∴ x = 9

19·x - 3 = 130 by alternate interior angles theorem

  • ∴ x = 7

x + 67 = 60 by alternate interior angles theorem

  • x = -7

Learn more here:

brainly.com/question/10623667

brainly.com/question/11708384

7 0
3 years ago
What is the equivalent fraction for 24/0.64?
mestny [16]

Answer:

See below

Step-by-step explanation:

24/ .64   =    2400 / 64   =    37  1/2   =   75/2  

4 0
2 years ago
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Select the correct answer.<br><br>which function is continuous across its domain?
SSSSS [86.1K]

Answer:

B

Step-by-step explanation:

3 0
3 years ago
4. The base of a triangle is 4 3/4ft. The height of the
astra-53 [7]

Answer:

39 \frac{9}{10\\}

Step-by-step explanation:

4 \frac{3}{4} × 8 \frac{2}{5} = 39\frac{9}{10\\}

6 0
3 years ago
Assume that the radius r of a sphere is expanding at a rate of 40 cm/min. The volume of a sphere is V = 4 3 πr3 and its surface
Scrat [10]

Answer:

The rate of change in surface area when r = 20 cm is 20,106.19 cm²/min.

Step-by-step explanation:

The area of a sphere is given by the following formula:

A = 4\pi r^{2}

In which A is the area, measured in cm², and r is the radius, measured in cm.

Assume that the radius r of a sphere is expanding at a rate of 40 cm/min.

This means that \frac{dr}{dt} = 40

Determine the rate of change in surface area when r = 20 cm.

This is \frac{dA}{dt} when r = 20. So

A = 4\pi r^{2}

Applying implicit differentiation.

We have two variables, A and r, so:

\frac{dA}{dt} = 8r\pi \frac{dr}{dt}

\frac{dA}{dt} = 8*20\pi*40

\frac{dA}{dt} = 20106.19

The rate of change in surface area when r = 20 cm is 20,106.19 cm²/min.

6 0
3 years ago
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