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ivolga24 [154]
2 years ago
13

The lengths of the sides of a triangle are in the extended ratio 7​: 9 ​: 10. The perimeter of the triangle is 52 cm. What are t

he lengths of the​ sides?
Mathematics
1 answer:
Pavel [41]2 years ago
8 0

Answer:

14 cm, 18 cm, 20 cm

Step-by-step explanation:

7x + 9x + 10x = 26x

equation: 26x = 52

divide each side by 26: x = 2

7 * 2 = 14

9 * 2 = 18

10 * 2 = 20

check if answer is right: 14 + 20 + 18 = 52

I hope this helped, please mark Brainliest thank you so much!!

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Rectangle MNOP is shown below. Aiden argues that MNQ is congruent to POQ. What triangle congruence criteria proves that MNQ is c
Katena32 [7]

Answer:

Δ MNQ ≅ Δ POQ ( BY Angle Angle Side)

Step-by-step explanation:

Given:

m∠NQM = 40°

m∠NQO = 100°

MNOP is a Rectangle

So we can say that:

Property of rectangle:

All angles of rectangle are 90°

Opposite sides of Rectangle are equal and parallel to each other

MN ≅ PO (opposite side of rectangle)

∠NMQ ≅ ∠OPQ (Both angles are 90°)

Now By Straight Angle property

m∠NQM + m∠NQO + m∠OQP = 180° (angles of straight line)

Substituting the values we get;

40° + 100° + m∠OQP = 180°

140° + m∠OQP = 180°

m∠OQP = 180° - 140° = 40°

So m∠OQP = m∠NQM = 40°

m∠OQP ≅ m∠NQM (Equals angles are congruent to each other)

Hence In Δ MNQ and Δ POQ

m∠OQP ≅ m∠NQM

∠NMQ ≅ ∠OPQ (Both angles are 90°)

MN ≅ PO (opposite side of rectangle)

Δ MNQ ≅ Δ POQ ( BY Angle Angle Side)

Hence Proved...

7 0
3 years ago
Use the picture to figure out the combination.
dimulka [17.4K]
I think it’s 4952 but i’m not sure
3 0
2 years ago
If I had a 2% solution, added 2 ounces to a gallon (128 ounces) What is the final concentration of the solution.
Ne4ueva [31]
<span>A 2% solution of chlorohexidine added to 126 oz of water. The total oz 128.

Solute: chlorohexidine, 2%=0.02
solvent: water (0%)

Concentration, C, volume V
CV=c1v1+c2v1
128C=0.02*2 + 0.00*126 = 0.04

Concentration
C=0.04/128 = 0.0003125 = 0.03125%</span>
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To rent a certain meeting room, a college charges a reservation fee of $39 and an additional fee of $5.80 per hour. The film clu
spin [16.1K]

Answer:

The inequality is x less than or equal to 6. So the amount of hours they can rent it is  6 hours or less.

Step-by-step explanation:

5.80x + 39 <_ 73.80 ----> subtract 39 on both side to get ---> 5.80x <_ 73.80 -----> then divide by 5.80 on both sides to get ---> x <_ 6.

Hope this helped!

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