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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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Which of the following is equal to 1/5^-2<br>A.1/25<br>B.-1/25<br>C.25<br>D.1/7
Ede4ka [16]

Answer:

  C.  25

Step-by-step explanation:

The applicable rule of exponents is ...

  a^b = 1/a^-b

Matching this pattern to your expression, you see that ...

  a = 5

  b = 2

Then ...

  1/5^-2 = 5^2 = 25

5 0
2 years ago
Find the value of x.<br> A. 22.5<br> B.40<br> C.45<br> D.95
Troyanec [42]

Answer:

x = 22.5

Step-by-step explanation:

The tangent- secant angle x is half the difference of the measures of the intercepted arcs, that is

\frac{1}{2} (4x + 5 - 50 ) = x ( multiply both sides by 2 )

4x - 45 = 2x ( subtract 2x from both sides )

2x - 45 = 0 ( add 45 to both sides )

2x = 45 ( divide both sides by 2 )

x = 22.5

4 0
3 years ago
David did not notice the multiplication sign between two three-digit numbers and wrote one six-digit number, which is equal to s
IRISSAK [1]

1) We can get that number hit and trial method.

It is said that "two three-digit numbers and wrote one six-digit number, which is equal to seven times their product".

Let us check number 143.

If we write 143 two times without any sign in between , we get 143143 ( a six digit number).

But if we multiply 143 × 143 , we get 20449.

7 times of 20449 equals 143143.

<h3>Therefore, the required three digit number is 143.</h3>

2) Let us assume required prime numbers are a, b and c.

Product of a, b and c= abc.

Sum of a, b and c = a+b+c.

"Their product is five times greater than their sum."

Therefore,

abc = 5(a+b+c)  ----------------------equation (1)

Now, let us take first prime numbers 2 and second 5.

Plugging a=2 and b=5.

2×5×c = 5(2+5+c).

10c = 5(7+c)

10c = 35 +5c.

Subtracting 5c from both sides, we get

10c-5c = 35 +5c-5c.

5c = 35.

Dividing both sides by 5, we get

c=7.

Therefore, first "cool" triple is 2,5,7.

Let us check by taking a=2 and b=7.

Plugging a=2 and b=7 in equation (1), we get

2×7×c = 9(2+7+c).

c=9. But it's not a prime number.

Let us take a=2 and b=11, we get

2×11×c = 11(2+11+c).

c=13   (A prime)

If we take a=2 and b=17, we get

2×17×c = 17(2+17+c).

c=19   (A prime).

<h3>On the same way, if we continue the process, we can get many "cool" triples.</h3>


4 0
3 years ago
By how many times does the surface area of a sphere differ if radius is double​
stich3 [128]

<em>If the radius of a sphere is doubled, the surface area becomes four times the original surface area.</em>

6 0
2 years ago
Read 2 more answers
2. Find the value of x for which l | | m.​
joja [24]
2x-5=95 due to the alternate interior angles thm so you just add 5 to 95 to get 2x=100 then divide by 2 to get x=50!
7 0
3 years ago
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