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Varvara68 [4.7K]
4 years ago
13

Points D and E are midpoints of the sides of triangle ABC. The perimeter of the triangle is 48 units.

Mathematics
2 answers:
MatroZZZ [7]4 years ago
5 0

The value of t = 2. <u>Option a)</u> 2 is the correct answer.

<u>Step-by-step explanation:</u>

Perimeter is the sum of three sides of a triangle.

Given that, the points D and E are midpoints of the sides.

Therefore,

side AB= AD+DB

       AB= 3t + 3t = 6t

side BC= BE+EC

       BC= 4t + 4t = 8t

side AC= 7t+6

Perimeter of the triangle= sum of (side AB+side BC+side AC)

48 = 6t+8t+7t+6

48 = 21t+6

t= 42/21

t= 2

zaharov [31]4 years ago
3 0

Answer:

2

Step-by-step explanation:

I just took the test

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Determine the greatest common divisor of the elements of the set \[ s = \{ n^{13} - n \mid n \in \mathbb{z} \}. \]
Kay [80]

Answer:

2730

Step-by-step explanation:

We want to determine the greatest common divisor of the elements of the set  S = \{ n^{13} - n \mid n \in \mathbb{Z} \}.

We apply the Fermat's little theorem which states that if p is a prime number, then for any integer a, the number aᵖ − a is an integer multiple of p.

Now, n^{13} \equiv n \mod p if p-1 divides 12.

Since the  of 12 are 1,2,3,4, 6, 12, the corresponding primes are 2, 3, 5, 7, 13.

Therefore, the gcd of the elements in 2^{13}-2 and 3^{13}-3$ is 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13.

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5 0
3 years ago
Which expressions are equivalent to the expression below?
Dmitriy789 [7]

Given :-

  • -1/3 - ( -4 + 1/6 )

To Find :-

  • The expression that is equivalent to one of the choices given .

Solution :-

As we know that ,

→ (-) × (-) = (+)

→ (-) × (+) = (-)

→ (+) × (-) = (-)

→ (+) × (+) = (+)

On using these open the brackets ,

→ -1/3 - 1( -4 + 1/6 )

→ -1/3 - 1(-4) + -1(+1/6)

→ -1/3 (-)(-)(1* 4) (+)(-) (1*1/6)

On using now above stated rules ,

→ -1/3 +4 -1/6

Somewhat rearrange ,

→ 4 -1/3 -1/6

Take (-) as common,

→ 4 - (1/3 +1/6)

<u>Hence Option </u><u>(</u><u>d)</u><u> </u><u>&</u><u> </u><u>(f) </u><u>are</u><u> correct .</u>

I hope this helps.

8 0
2 years ago
What is an equation of the line that passes through the points (2, -6)(2,−6) and (-1, 6)(−1,6)?
Crank

Answer:

y = -4x + 2

Step-by-step explanation:

To figure out the slope, plug the coordinates in the formula.

y2 - y1 / x2 - x1

= 6 - (-6) / -1 -2

= -4

Now you need to find the y-intercept, take the coordinates and plug them into your equation so far, which is y = -4x + b

y = -4x + b

-6 = -4(2) +b

-6 = -8 + b

2 = b

7 0
3 years ago
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Answer:

-33

it just adding -3

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hope this helped

-18 is the fifth one add -3 and its -21 which is the 6th one. then you keep going and get -33.

3 0
2 years ago
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