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slava [35]
3 years ago
10

Which rule explains why these triangles are congruent? ​

Mathematics
1 answer:
iogann1982 [59]3 years ago
8 0

Answer:

AAS

Step-by-step explanation:

In\: \triangle CFG \:\&\:\triangle GHC

\angle CFG \cong \angle CHG (Given)

\angle FCG \cong \angle HGC (Given)

\overline {CG} \cong \overline {GC} (Common side)

\therefore \triangle CFH\cong\triangle GHC

(By AAS POSTULATE)

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An animal gained 5 kilograms steadily over 20 years. What is the unit rate of kilograms per​ year?
balandron [24]

The unit rate is 0.25 kilograms per year.

Step-by-step explanation:

Lets define unit rate first

Unit rate is the change in quantity per unit time.

Given

Weight = w = 5 kg

Time = t  = 20 years

So,

Unit\ rate = \frac{weight}{time}\\=\frac{w}{t}\\= \frac{5}{20}\\= 0.25

Hence,

The unit rate is 0.25 kilograms per year.

Keywords: Unit rate, rate of change

Learn more about unit rate at:

  • brainly.com/question/689294
  • brainly.com/question/6788996

#LearnwithBrainly

5 0
3 years ago
Please help me with this problem ​
andreyandreev [35.5K]

Answer:

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6 0
2 years ago
Zoro Manufacturing Company manufacturers wooden picture frames. Each piece of wood yields 15 frames. Each piece of wood costs $1
sesenic [268]
To determine the cost of manufacturing one picture frame, add all the known cost by the number of frames produced. With the basis of one hour of operation,

                                  Cost of wood per frame = $18.75 / 15 = $1.25

                           Cost of direct labor per frame = $ 13.50 / 65 = $ 0.21

Adding all up the costs, 

                                     total cost = $1.25 + $0.21 = $1.46

Therefore, manufacturing one picture frame costs approximately $1.46. 
6 0
3 years ago
The height of dachshunds is usually 1/3 their length. If Mollie is 20 inches long, how tall is she?
arlik [135]

This is a proportion problem.

Let's make her Length x and her height 1/3 x.

1/3 x = 20 inches

x = 6 2/3 inches

Molly's height is 6 2/3 inches.

Check it.

6 2/3 x 3 = ? (change the mixed number to a fraction)

20/3 x 3 = ? (multiply)

60/3 = ? (divide)

20 inches. Yes, it checks.

8 0
3 years ago
Read 2 more answers
Please solve the question and give correct answer with explanation so that i can understand it​
denis-greek [22]

Answer:

  • Yes

Step-by-step explanation:

Let the speed of the car is c and speed of the plane is p.

<h3>We are given:</h3>

The speed of the plane is 7 times the speed of the car

  • p = 7c

The distance traveled is

  • d = 315 km

The time difference to travel this same distance is 3 hours.

<h3>We know that:</h3>
  • d = ts, where d- distance, t- time, s - speed

Find the time for car and plane and their difference.

<h3>Car</h3>
  • t = d/s = 315/c
<h3 /><h3>Plane</h3>
  • t = d/s = 315/p = 315/(7c) = 35/c
<h3 /><h3>The difference</h3>
  • 315/c - 45/c = 3

<u>Solve it for c:</u>

  • (315 - 45)/c = 3
  • 270/c = 3
  • c = 270/3
  • c = 90 km/h

Now find the speed of plane:

  • p = 7c = 7*90 = 630 km/h

As we see, Jenny is right

6 0
2 years ago
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