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3 years ago

Look at the planes ABCD and EFGH shown below:

Mathematics

2 answers:

Temka [501]3 years ago

6 0

Answer:

Option A) XY

Step-by-step explanation:

We are given the following information in the question:

Two planes ABCD and EFGH intersect each other as shown in the given figure.

We have to find the line along which the two planes intersect.

1. XY

If we join the points X and Y. Clearly, XY lies in the intersection of the two plane. Both the planes passes through the line XY. Hence, it is the line of intersection for both the planes.

2. DY

The line DY does not lie in the plane EFGH and thus cannot be the line of intersection for both the planes.

3. AX

The line AX does not lie in the plane EFGH and thus cannot be the line of intersection for both the planes.

4. AD

The line AD does not lie in the plane EFGH and thus cannot be the line of intersection for both the planes.

Mariana [72]3 years ago

4 0

The two planes intersect at line XY

Given that two planes named ABCD and EFGH.

These two planes are intersecting each other as shown in the figure.

By looking the figure it is obvious that two planes are intersecting each other at point X and Y.

Hence, the correct answer is XY

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In ΔBCA, CB = 11 cm, CG = 6 cm, AH = 9 cm. Find the perimeter of ΔBCA. Triangle BCA with inscribed circle D. Segments BF and BH,

romanna [79]

Answer:

The perimeter of Δ ABC is 40 cm ⇒ 2nd answer

Step-by-step explanation:

* Lets explain how to solve the problem

- Circle D is inscribed in triangle ABC

- The circle touches the side AB at H , side BC at F , side CA at G

- BF and BH are tangents to circle D from point B

∴ BF = BH ⇒ tangents drawn from a point outside the circle

- CF and CG are tangents to circle D from point C

∴ CF = CG ⇒ tangents drawn from a point outside the circle

- AG and AH are tangents to circle D from point A

∴ AG = AH ⇒ tangents drawn from a point outside the circle

∵ CG = 6 cm ⇒ given

∴ CF = 6 cm

∵ CB = 11 cm ⇒ given

∵ CB = CF + FB

∴ 11 = 6 + FB ⇒ subtract 6 from both sides

∴ FB = 5 cm

∵ FB = BH

∴ BH = 5 cm

∵ AH = 9 cm ⇒ given

∵ AH = AG

∴ AG = 9 cm

∵ AB = AH + HB

∴ AB = 9 + 5 = 14 cm

∵ AC = AG + GC

∴ AC = 9 + 6 = 15 cm

∵ BC = 11 cm ⇒ given

∵ The perimeter of Δ ABC = AB + BC + CA

∴ The perimeter of Δ ABC = 14 + 11 + 15 = 40 cm

* The perimeter of Δ ABC is 40 cm

3 0

3 years ago

PLEASE ANSWER ASAP WITH WORK FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Ede4ka [16]

Answer:

divide it then you'll get your answer!

Step-by-step explanation:

8 0

3 years ago

Which of the following equations could reprwsent the word problem given

Bas_tet [7]

Please provide details such as the word problem and options.

6 0

3 years ago

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Omar has a gift card for $25 at a clothing store. He wants to buy socks that costs $4 per pair. He also has a coupon for $5 off

bezimeni [28]

Answer:

p= 7 socks

Step-by-step explanation:

gift card:$25

socks:$4

p = 7

4 0

3 years ago

I really need help ASAP !!

Vesnalui [34]

Answer:

Graph 1: Consistent Dependent

Graph 2: Consistent Independent

Graph 3: Consistent Dependent

Graph 4: Inconsistent

Step-by-step explanation:

Consistent means they have at least one solution. So lines that intersect once or lines that intersect infinitely many times are both consistent systems.

If they are the system that has one solution they are considered independent.

If they are the system that has infinitely many solutions then are considered dependent.

Inconsistent means they won't intersect at all.

First graph shows the same line graphed onto itself. That means they have infinitely many solutions and is therefore a consistent dependent system.

Second graph shows the lines intersecting once. That means they have one solution and therefore is a consistent independent system.

Third graph shows the same description of graph one and is therefore a consistent dependent system.

The last graph shows parallel lines. Parallel lines do not intersect and therefore do not have a solution. So this system is inconsistent.

7 0

3 years ago