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
devlian [24]
3 years ago
8

A triangular pyramid is cut by a plane. In which case is the cross section a quadrilateral?

Mathematics
1 answer:
Pie3 years ago
8 0

Answer:

(D) is the right answer

Step-by-step explanation:

The cross section will be a quadrilateral when the intersecting plane forms a closed four sided polygon along with the pyramid.

A triangular pyramid has four faces.  So, to form four straight lines and therefore a quadrilateral, the intersecting plane must intersect all four faces.

A. In this case the plane will only intersect one side of the pyramid so four sided polygon can't be formed.

B. It will only intersect the two sides of the pyramid but the cross section will not be a quadrilateral.

C. In this case the plane will intersect three sides of the pyramid so the cross section will be a triangle not a quadrilateral.

D. In this case the plane intersects all the four faces forming a closed polygon of 4 straight lines so the cross section will be a quadrilateral.

So, the Correct Option is (D) : When the plane intersects the base and all three lateral faces of the pyramid, the cross section of the triangular pyramid will be a quadrilateral.


You might be interested in
Are these figures are similar? If so, what is the scale factor?
tester [92]

Answer:

Yes, the scale factor is 0.6 repeating, or 0.7.

Step-by-step explanation:

You find the scale factor by dividing the smaller sides by the corresponding larger ones.

12/18 = 0.6 repeating

14/21 = 0.6 repeating

16/24 = 0.6 repeating

These triangles could be similar by SSS or SAS or ASA I think since congruent angles are shown in both triangles as well.

8 0
3 years ago
How do I solve problem 10?
Grace [21]

If you extend the line from 1 through the parallel line you create a transversal and a triangle.

Consecutive angles inside the parallel lines are supplementary therefor the exterior angle of the triangle on the left side measures 118 degrees. This angle creates a linear pair with the left base angle therefore that angle measures 62 degrees.

144 forms a linear pair with the right base angle of the triangle making its measure 36 degrees.

The third angle of the triangle would then measure 82 degrees. Finally this third angle forms a linear pair with angle 1 making angle 1 measure 98 degrees.

6 0
3 years ago
Five to the fifth power minus seven to the second power.
Sedaia [141]

Answer:

5^5-7^2= 3076

Step-by-step explanation:

5^5=3125

5*5*5*5*5

7^2=49

3125-49=3076

Hope this helps! Remember you are smart and you got this! Have a great day -Alycia

4 0
3 years ago
halle is planning a party and needs to buy chicken and steaks. one package of chicken costs $7 and steaks cost $4 per pound. she
Sindrei [870]

Answer: $18 dollars left

Step-by-step explanation:

multiply $4 by 5 that gives you $20 then subtract $20 from $40

giving you $20 then divide $20 by seven and you can only get 2 chicken.

then subtract $20 from $40 then subtract that answer by 2 which leaves you with $18

4 0
3 years ago
Read 2 more answers
(2x−6)+4(x−3)<br> Find the sum.
wariber [46]

Answer:

6x - 18 or 6*(x - 3)

Step-by-step explanation:

Pull out like factors: 6x - 18  =   6 • (x - 3)

Hope this helps! Please mark as brainlest.

Thanks!

6 0
3 years ago
Other questions:
  • Jerry and Thomas own a cleaning business. Thomas cleans a house in 2 1/2 hours . Jerry cleans a house in 3 1/4 hours. How much l
    7·1 answer
  • You take a quiz with 6 multiple choice questions. After you studied your estimated that you would have about an 80 % chance of g
    7·1 answer
  • The function f(x) = 10(1.015)* shows the balance in a savings account as time increases. What does the 10 represent?
    8·1 answer
  • The graphs below have the same shape. Complete the equation of the blue
    10·1 answer
  • N/A yhhhhb hhhbbub bb he hb hb hb h. Hb hb h
    15·2 answers
  • The scale of a map says that 6 cm represents 15 km.
    13·1 answer
  • What is the area of the figure?
    10·2 answers
  • I'm learning about sin, cos, and tan but I don't know how to use my calculator. My problem right now is -1.8=cos x and I need to
    11·2 answers
  • Answer this question to chick you knowledge
    13·1 answer
  • State one rational number between -0.45 and -0.46 (answer must be in decimal form.)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!