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ExtremeBDS [4]
3 years ago
13

Two rectangles are shown below. Rectangle P has a perimeter of 20 inches.

Mathematics
1 answer:
arsen [322]3 years ago
3 0

Answer:

c) j=2 and h=4

Step-by-step explanation:

h+h+j+4+j+4=20

3h+3h+j+1+j+1=30

2h+2j+8=20

6h+2j+2=30

multiply the first equation by -3

-6h-6j-24=-60  

this equals

-6h-6j=-36

6h+2j=28

-4j=-8

j=2

Since j=2

2h+2(2)+8=20

2h+12=20

2h=8

h=4

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Lunna [17]

Answer: The proof is mentioned below.

Step-by-step explanation:

Here, Δ ABC is isosceles triangle.

Therefore, AB = BC

Prove: Δ ABO ≅ Δ ACO

In Δ ABO and Δ ACO,

∠ BAO ≅ ∠ CAO  ( AO bisects ∠ BAC )

∠ AOB ≅ ∠ AOC ( AO is perpendicular to BC )

BO ≅ OC ( O is the mid point of BC)

Thus, By ASA postulate of congruence,

Δ ABO ≅ Δ ACO

Therefore, By CPCTC,

∠B ≅ ∠ C

Where ∠ B and ∠ C are the base angles of Δ ABC.


7 0
3 years ago
What is the volume of the composite figure below? (formula for volume of a prism is 1/3 Bh where B is the area of the base.)
arsen [322]

Answer:

Last Option; 84 cu. mm

Step-by-step explanation:

We know that;

Volume = 1/3(Bh)

And that this is figure has a square base, therefore B that represents the area of the base will be: 6 * 6 = 36

And height = 7mm

Therefore we can say;

Volume = (1/3)*(6 x 6)*(7)

Volume = (1/3)*(36)*(7)

Volume = (12)*(7)

<u>Volume = 84</u>

Hope this helps!

6 0
3 years ago
Unit rate of 100 calories in 5 crackers​
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Answer:

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Step-by-step explanation:

5 0
3 years ago
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sergeinik [125]
I agree to what the other person said! Good Luck!
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pantera1 [17]

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3 years ago
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