1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bond [772]
3 years ago
6

Use the diagram on the right. How many planes contain both the line and the point

Mathematics
1 answer:
Aloiza [94]3 years ago
8 0

Part (a)

<h3>Answer: 0</h3>

-------------------

Explanation:

Point P is part of 3 planes or faces of this triangular prism:

  • plane PEF (the front slanted plane)
  • plane PEH (the left triangular face)
  • plane PHG (the back rectangular wall)

Notice how each three letter sequence involves "P", though this isn't technically always necessary. I did so to emphasize how point P is involved with these planes.

Each of the three planes mentioned do not involve line FG

  • Plane PEF only deals with point F
  • Plane PEH doesn't have any of F or G involved
  • plane PHG only involves G

So there are no planes that contain line FG and point P.

==================================================

Part (b)

<h3>Answer: 0</h3>

-------------------

Explanation:

It's the same idea as part (a) earlier. The planes involving point G are

  • plane GQF  (triangular face on the right)
  • plane GFE (bottom rectangular floor)
  • plane GHP (back rectangular wall)

None of these planes have line EP going through them.

As an alternative, we could reverse things and focus on all of the planes connected to line EP. Those 2 planes are

  • plane PEH (triangular face on the left)
  • plane PEF (front slanted rectangular face)

None of these planes have point G located in them.

You might be interested in
Use the distributive property to express 30 + 75
OleMash [197]
Click on  the box for more details on how to <span>distributive property to express 30 + 75.</span>

8 0
3 years ago
Read 2 more answers
Please answer this quickly !
nika2105 [10]

Answer:

The first option.

Because we're solving for the price of each gallon, x will represent the cost of each gallon. Since 8.4 is the total amount of gallons, multiply 8.4 and x to get $23.94. Solve for x by dividing 23.94 to get $2.85 per gallon. To check this, substitute 2.85 for x into the equation: 8.4 (2.85) = 23.94

4 0
3 years ago
Please hellp find x y and z
melomori [17]

Answer:

angle x = 98

angle y = 82

angle z = 82

Step-by-step explanation:

angle y + 98 = 180; therefore, angle y = 82 degrees

angles z and y are alternate interior angles and are congruent (equal)

angle x is 98 degrees because angles x and y are same-side interior and their angles are supplementary (add up to 180 degrees)

5 0
3 years ago
Thank you for helping!
Bingel [31]
Ok this is a hard problem of math you need to count the numbers form one through 100 and through 10 or 20 but keep it in oder
7 0
2 years ago
Which of the following is a line segment in the drawing that connects two parallel lines?
charle [14.2K]

Answer:

line segment BE

Step-by-step explanation:

Parallel lines are lines that never cross.  In this case, the two parallel lines are AC and DF.  A line segment is part of a line that has a point at either end.  The only segment which crosses lines AC and DF is segment BE.  

Also, if you look at the answer choices, the first two indicate a line ↔ above the letters, which represents a line that doesn't end, while the other two choices just have a line to indicate a segment.  

8 0
3 years ago
Other questions:
  • In the example we modeled the world population in the second half of the 20th century by the equation P(t) = 2560e^(0.017185t).
    6·1 answer
  • 3x^2-x-16=0 Solve this question
    10·2 answers
  • Which describes the relationship between the lines y=2x - 5 and y=2x +2?
    11·1 answer
  • The table below shows a correct representation that 15 pounds (lb) of sugar cost $3:
    9·1 answer
  • 6x - 2y= 18<br> Find the x-intercept and the y-interc<br> Then use them to graph the line.
    5·2 answers
  • Assume that adults have it scores that are normally distributed with a mean of 100 standard deviation of 15 find probability tha
    11·1 answer
  • Rosa brought d drawings to an art show. After selling 17 of them, she had 22
    14·2 answers
  • An 8μC charge is moving through a 10T magnetic field at a speed of 2.5⋅107 m/s perpendicular to the direction of the field. What
    9·1 answer
  • Please can someone help me. It’s not 26, please find X
    7·1 answer
  • An athlete has 75% of winning the race if he is not injured. If he is injured, his probability of winning the race is only 15%.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!