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Anna35 [415]
3 years ago
14

Are the triangles congruent, if so by what theorem/postulate

Mathematics
1 answer:
liberstina [14]3 years ago
4 0

Yes, SSS

PR are already a given side. PS and PQ are also given sides. Lastly, RS and RQ are given sides.

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The hypotenuse of a 45°-45°-90° triangle measures 128 cm. A right triangle is shown. The length of the hypotenuse is 128 centime
Aleks [24]

Answer:

64√2 or 64 StartRoot 2 EndRoot

Step-by-step explanation:

A 45-45-90 traingle is a special traingle.  Let's say one of the leg of the triangle is x. The other one is also x because of the isosocles triangle theorem.  Therefore, using the pytagorean theorem, you find that x^2+x^2=c^2.  2(x)^2=c^2.  You then square root both sides and get c= x√2.  

Therefore, the two legs are x and the hypotenuse is x√2.  x√2=128 because the question says that the hypotenuse is 128.  Solve for x by dividing both sides by √2.  X=128/√2.  You rationalize it by multiplying the numberator and denominator of the fraction by √2.  √2*√2= 2.

X=(128√2)/2= 64√2 cm.

Since X is the leg, the answer would be 64√2

3 0
3 years ago
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Which graph shows the solution to the inequality Negative 3 x minus 7 less-than 20
mart [117]

Answer:

qw567

Step-by-step explanation:

8 0
2 years ago
George spent $21.25 on five movie tickets. How much was each movie ticket?
Sunny_sXe [5.5K]

Answer:

$4.25

Step-by-step explanation:

21.25/5 = 4.25

7 0
3 years ago
Convert the flow rate of 250 gallons per minute (gpm) to a flow rate of gallons per second.
Blizzard [7]

Answer:

multiply by

Convert from Convert to

US gpd US gpm cfm IMP gpd IMP gpm

m3/s 22800000 15852 2119 19000000 13200

m3/min 380000 264.2 35.32 316667 220

m3/h 6333.3 4.403 0.589 5277.8 3.67

liter/sec 22800 15.852 2.119 19000 13.20

liter/min 380 0.2642 0.0353 316.7 0.22

liter/h 6.33 0.0044 0.00059 5.28 0.0037

US gpd 1 0.000695 0.000093 0.833 0.000579

US gpm 1438.3 1 0.1337 1198.6 0.833

cfm 10760.3 7.48 1 8966.9 6.23

Imp gpd 1.2 0.00083 0.00011 1

Step-by-step explanation:

googled it

7 0
3 years ago
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What is the solution to -18-6k=6(1+3k)?
Alexxandr [17]
I'm pretty sure that it's k = -1
3 0
2 years ago
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