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ser-zykov [4K]
3 years ago
5

All equilateral triangles are congruent. State whether the statement is true or false

Mathematics
2 answers:
Bas_tet [7]3 years ago
8 0
False, because they can have different side lengths.
PSYCHO15rus [73]3 years ago
3 0

Answer:

TRUE

If a triangle has three congruent angles, it is be equiangular. Since congruent angles have congruent sides opposite them, all sides in an equiangular triangle will also be congruent. Therefore, every equiangular triangle is also equilateral

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PLEEASSEEEE Answer ASAP. Due in 5 Minutes. 25 points!!!!!!!!!
jonny [76]

Answer:

Here we will use the relationships:

a^n*a^m = a^{n + m}

(a^n)^m = a^{n*m}

\frac{a^n}{a^m} = a^{n - m}

And a number:

a^n

is between 0 and 1 if a is positive and larger than 1, and n is negative.

if a is positive and 0 < a < 1, then we need to have n positive such that:

0 < a^n < 1

A) 5^3*5^{-4} = 5^{3 + (-4)} = 5^{-1}

This is between zero and 1,

B) \frac{3^5}{3^{-6}} = 3^{5 - (-6)} = 3^{11}

This is greater than 1, because the exponent is positive.

C) (\frac{1}{4})^3*( \frac{1}{4})^2 = (\frac{1}{4})^{2 + 3} = (\frac{1}{4})^5

Because a is smaller than 1, and the exponent is positive, then the expression is between 0 and 1.

D) \frac{(-7)^5}{(-7)^7} = (-7)^{5 - 7} = -7^{-2}

The exponent is negative (and pair) then the expression is between 0 and 1.

Remember that when the exponent is pair, we always have that:

(-N)^m = (N)^m

So (-7)^-2 = 7^-2

4 0
3 years ago
Sam and Mary collect marbles. “If you give me 5 marbles I’ll have twice as many as you.” said Sam to Mary.
ivann1987 [24]

Answer:

54 marbles

Step-by-step explanation:

The question is a word problem leading to a simultaneous equation

Let 'x' represent the initial number of marbles with Sam, and let 'y' represent the initial number of marbles with Mary,

If Mary gives Sam 5 marbles, we have;

x + 5 = 2 × (y - 5)...(1)

If Sam gives Mary 4 marbles, we get;

x - 4 = y + 4...(2)

From equation (1), we get;

x + 5 = 2 × (y - 5) = 2·y - 10

x = 2·y - 10 - 5 = 2·y - 15

x = 2·y - 15...(3)

From equation (2), we have;

x - 4 = y + 4

∴ x = y + 4 + 4 = y + 8

x = y + 8...(4)

Equating the two values of 'x' in equation (3), and equation (4), we get;

2·y - 15 = y + 8

2·y - y = 8 + 15 = 23

∴ y = 23

From equation (4), we get;

x = y + 8 = 23 + 8 = 31

x = 31

The total number of marbles they have altogether = x + y

However, x + y = 23 + 31 = 54

Therefore;

The total number of marbles they have altogether = 54 marbles.

7 0
3 years ago
The circumference of F is 120 cm what is the length of DE the minor arc
AfilCa [17]

Answer:

Option E 15 cm

Step-by-step explanation:

we know that

The circumference of a circle subtends a central angle of 360 degrees

so

using proportion

Find out the length of arc DE by a central angle of 45 degrees

Let

x -----> the length of arc DE

\frac{120}{360}=\frac{x}{45}\\\\x=120*45/360\\\\x=15\ cm

7 0
4 years ago
You pick a card at random.
katrin [286]

Answer:

The probabily of P(not less than 6) is

P= the favorable outcomes/ the total outcomes

favorable out come is 1 case(7)

the total outcomes are 5 cases(2,3,5,6)

P=1/5=20%

7 0
2 years ago
Please please please help asap
blondinia [14]

Answer:

The answer is 22 cards are left in the stack.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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