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dangina [55]
3 years ago
6

Based on one of the triangle congruence postulates, the two triangles shown are congruent. Part 5

Mathematics
1 answer:
bekas [8.4K]3 years ago
8 0
<h3>Answer: True</h3>

More specifically, these two triangles are congruent by the SAS congruence theorem. SAS stands for Side Angle Side.

  • The first "S" is the pair of sides that have double tickmarks
  • The "A" refers to the congruent vertical angles
  • The second "S" is the pair of sides that have triple tickmarks
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Which of the following is the sine of angle A in the right triangle shown?
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3 years ago
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Solve -6f + 13 = 2f - 11​
igor_vitrenko [27]

Answer:

f = 3

Step-by-step explanation:

Solve for f:

13 - 6 f = 2 f - 11

Subtract 2 f from both sides:

13 + (-6 f - 2 f) = (2 f - 2 f) - 11

-6 f - 2 f = -8 f:

-8 f + 13 = (2 f - 2 f) - 11

2 f - 2 f = 0:

13 - 8 f = -11

Subtract 13 from both sides:

(13 - 13) - 8 f = -13 - 11

13 - 13 = 0:

-8 f = -13 - 11

-13 - 11 = -24:

-8 f = -24

Divide both sides of -8 f = -24 by -8:

(-8 f)/(-8) = (-24)/(-8)

(-8)/(-8) = 1:

f = (-24)/(-8)

The gcd of -24 and -8 is -8, so (-24)/(-8) = (-8×3)/(-8×1) = (-8)/(-8)×3 = 3:

Answer:  f = 3

4 0
3 years ago
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Two trains leave stations 360 miles apart at the same time and travel toward each other. One train travels at 70 miles per hour
cricket20 [7]
S=d/t     ⇒d=s*t
s=speed
d=distance
t=time

The first train :
d=x

x=70 miles/h*t                             ⇒   x=70t  (1)

The second train
d=360 miles - x

360 miles - x=80 miles/h*t          ⇒360-x=80t   ⇒ x=360-80t   (2)

therefore, with the equations (1) and (2) we have a systeme of equations:

x=70t
x=360-80t

we can solve this system of equations by equalization method.

70t=360-80t
70t+80t=360
150t=360
t=360/150=2.4     (≈2 hour  24 minutes)

Answer:  the first train meet with the second train in 2 hour 24 minutes. 


3 0
3 years ago
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Explain how you could convert 152 cups into gallons.
Mila [183]

Answer: There are 16 cups in every gallon so we could divide 152 by 16 and get our number of gallons which would give us 9.63 or a little over 9 and a half gallons.

Step-by-step explanation:

4 0
3 years ago
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creativ13 [48]

Answer:

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Step-by-step explanation:

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I will be using (3,2) and (-3,-2) to find the slope:

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(3,2)

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y=mx+b\\\\y = \frac{2}{3}x+0\\\\y = \frac{2}{3}x

Hope this helps!

8 0
2 years ago
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