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Afina-wow [57]
3 years ago
15

If the perimeter of Triangle XYZ is 56 cm, what is the perimeter of Triangle ABC?

Mathematics
1 answer:
Troyanec [42]3 years ago
6 0

Answer:

28 cm

Step-by-step explanation:

Triangle ABC is obtained by joining the mid points of the sides of triangle XYZ.

So, perimeter of triangle ABC will be equal to half of the perimeter of triangle XYZ.

P(\triangle ABC) = \frac{1}{2} \times P(\triangle XYZ)

P(\triangle ABC) = \frac{1}{2} \times 56

P(\triangle ABC) = 28\: cm

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9. Select all expressions that are
Kruka [31]

Answer:

Step-by-step explanation:

2(9a - 6) = 2*9a - 2*6 = 18a - 12    

Yes, it is equivalent.

6*(3a-2) = 6*3a - 6*2 = 18a - 12

Yes, it is equivalent.

-3(6a+4)= -3*6a + 4*(-3) = -18a - 12

No, not equivalent

3(6a+4) = 3*6a + 3*4 = 18a + 12

No, not equivalent

-3(4-6a) = -3*4  - 6a*(-3 )  = -12 + 18a = 18a - 12

Yes, it is equivalent.

7 0
3 years ago
Read 2 more answers
A G.P is such that the 3rd term minus a first term is 48. The 4th term minus 2nd term 144. Find: (i) Common ratio ii) The first
EleoNora [17]

Answer:

Step-by-step explanation:

r is the common ratio.

Third term minus first term is 48.

a₃ - a₁ = 48

a₃ = a₁r²

a₁r² - a₁ = 48

a₁(r²-1) = 48

r²-1 = 48/a₁

Fourth term minus second term is 144.

a₄ - a₂ = 144

a₂ = a₁r

a₄ = a₁r³

a₁r³ - a₁r = 144

a₁r(r²-1) = 144

r²-1 = 144/(a₁r)

48/a₁ = 144/(a₁r)

r = 3

:::::

r²-1 = 48/a₁

a₁ = 6

:::::

a₆ = a₁r⁵ = 1458

8 0
3 years ago
A survey was given to 349 people asking whether people like dogs and/or cats. 197 said they like dogs 178 said they like cats 51
jeka57 [31]

See https://web2.0calc.com/questions/help_13403.

5 0
3 years ago
A circle with radius 9 has a sector with a central angle of 120 degrees. What is the area of the sector?
Luda [366]

Answer:

Step-by-step explanation:

January 15, 2012 4:31PM

I assume you want the area of the sector with angle 120o and radius 9 cm:

120o is 120/360 = 1/3 of a full circle.⇒ area of sector is 1/3 area of full circle

⇒ area_of_sector = 1/3 x π x radius2 = 1/3 x π x (9 cm)2

= 27π cm2

≈ 84.82 cm2

4 0
3 years ago
Find the measure of supplementary angles with measures 2x degrees and 7x degrees
LenKa [72]
2x+7x= 180
9x=180
x=20

Plug the x value in to both expressions
2(20)=40
7(20)=140

Final answer: 40 degrees, 140 degrees
3 0
3 years ago
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