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zheka24 [161]
3 years ago
9

The surface of a polyhedron can be found by

Mathematics
1 answer:
Oliga [24]3 years ago
4 0
The surface of a polyhedron can be found by using the following equation:<span>1. Draw a net of the polyhedron.
</span><span>2. Calculate the area of each face.<span>
</span></span><span><span>3. Add up the area of all the faces.</span></span>

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Complete the missing parts of the paragraph proof. Draw a perpendicular from P to AB. Label the intersection C. We are given tha
zvonat [6]
<span>1) We are given that PA = PB, so PA ≅ PB by the definition of the radius.

</span>When you draw a perpendicular to a segment AB, you take the compass, point it at A and draw an arc of size AB, then you do the same pointing the compass on B. Point P will be one of the intersections of those two arcs. Therefore PA and PB correspond to the radii of the arcs, which were taken both equal to AB, therefore they are congruent. 
 
2) We know that angles PCA and PCB are right angles by the definition of perpendicular.

Perpendicularity is the relation between two lines that meet at a right angle. Since we know that PC is perpendicular to AB by construction, ∠PCA and ∠PCB are right angles.
 
3) PC ≅ PC by the reflexive property congruence.

The reflexive property congruence states that any shape is congruent to itself.

4) So, triangle ACP is congruent to triangle BCP by HL, and AC ≅ BC by CPCTC (corresponding parts of congruent triangles are congruent). 

CPCTC states that if two triangles are congruent, then all of the corresponding sides and angles are congruent. Since ΔACP ≡ ΔBCP, then the corresponding sides AC and BC are congruent.
 
5) Since PC is perpendicular to and bisects AB, P is on the perpendicular bisector of AB by the definition of the perpendicular bisector. 

<span>The perpendicular bisector of a segment is a line that cuts the segment into two equal parts (bisector) and that forms with the segment a right angle (perpendicular). Any point on the perpendicular bisector has the same distance from the segment's extremities. PC has exactly the characteristics of a perpendicular bisector of AB. </span>
6 0
3 years ago
Read 2 more answers
Can someone please help me with this? thank u so much ​
MatroZZZ [7]

Step-by-step explanation:

The perimeter of a triangle is calculated by adding all three side lengths together

That means x + 3 + x + 4 + x + 1 = 17 add the like terms

3x + 8 = 17

3x = 9

x = 3

BC = x + 3 ➡ 6

CD = x + 4 ➡ 7

BD = x + 1 ➡ 4

6 0
3 years ago
Read 2 more answers
Simplify the sum. (7u3 + 8u2 + 7) + (8u3 – 3u + 7)
bazaltina [42]
= (7u³ + 8u² + 7) + (8u³ - 3u + 7)
Operate like terms together:

= 7u³ + 8u³ + 8u² - 3u + 7 + 7
= 15u³ + 8u² - 3u + 14

In short, Your Answer would be: 15u³ + 8u² - 3u + 14

Hope this helps!
8 0
2 years ago
Read 2 more answers
Solve the system of equations:
Simora [160]

Answer:

x1=6 , x2=1

Step-by-step explanation:

If you have any questions about the way I solved it,don't hesitate to ask

8 0
3 years ago
How do you write 982% as a fraction, mixed number, or whole number in simplest form?
koban [17]
I think one of the answers would be 9.82
8 0
3 years ago
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