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harina [27]
3 years ago
13

A mosaic consists of triangular tiles. The smallest tiles have side lengths 6cm, 10cm, an 12cm. Are these tiles in the shape of

right triangle? Explain
Mathematics
1 answer:
anygoal [31]3 years ago
6 0

Answer:

Is not a right triangle

Step-by-step explanation:

we know that

The length sides of a right triangle must satisfy the Pythagorean Theorem

c^2=a^2+b^2

where

c is the greater side (the hypotenuse)

a and b are the legs

<u><em>Verify</em></u>

we have

a=6\ cm\\b=10\ cm\\c=12\ cm

substitute

12^2=6^2+10^2

144=36+100

144\neq 136

so

The length sides of triangle not satisfy the Pythagorean Theorem

therefore

Is not a right triangle

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Ben decides to start a business walking dogs and cleaning swimming pools. It
3241004551 [841]

Answer:

It would be B (15x + 20x)

8 0
3 years ago
If L is parallel to M, find the values of x, y, and all 3 angles.
lesya [120]

Answer:

8x - 14 = 5x + 34 (alternate exterior angles)

8x - 5x = 34 + 14

3x = 48

x = 48/3

x = 16

5y + 16 + 8x - 14 = 180 (linear pair)

5y + 16 + 8(16) - 14 = 180

5y + 16 + 128 - 14 = 180

5y + 130 = 180

5y = 180 - 130

5y = 50

y = 50/5

y = 10

∠ (8x - 14) = 114   [(8 × 16 -14)=114]

∠ (5x + 34) = 114  [(5 × 16 +34)=114]

∠ (5y + 16) = 66   [(5 × 10 +16)=66]

hope this helps you!

4 0
3 years ago
Which biconditional is not a good definition?
Xelga [282]
<span>The <u>correct answers</u> are:

A ray is a bisector of an angle if and only if it splits the angle into two angles; and
A) I can afford to buy a ticket.

Explanation<span>:

For the first question, the first three answers are very specific and true:

A whole number is odd if it is not divisible by 2, and a number is not divisible by 2 if it is odd;
an angle is straight if its measure is 180 degrees, and the measure of an angle is 180 degrees if it is a straight angle;
a whole number is even if it is divisible by 2, and a number is divisible by 2 if it is even.

However, with the fourth choice, we are missing a key word in the definition. A ray is a bisector of an angle if and only if it splits the angle into two <u>CONGRUENT</u> angles. It is not just a ray that cuts an angle into two pieces, the pieces must be equal.

For the second question, the Law of Detachment says if our conditional "if p, then q" is true and p is true, then q must also be true.

For this question, "I can go to the concert if I can afford to buy a ticket" is true as well as "I can go to the concert." This means "I can afford to buy a ticket" must be true as well.</span></span>
4 0
3 years ago
Write the equation of a line that has a slope of -4 and goes through (-2,7).
Anni [7]

Answer:

y = -4x - 1

Step-by-step explanation:

Equation of a line is given as:

y = mx + b

Where

m is the slope

and

b is the y-intercept (y-axis cutting point)

Since we know slope is -4, we can write:

y= mx + b

y = -4x+ b

Given the point (-2,7) , we can say:

x = -2

and

y = 7

Plugging these 2 values, we can solve for b:

y = -4x + b

7 = -4(-2) + b

7 = 8 + b

b = 7 - 8

b = -1

Now, we have the equation:

y = -4x - 1

7 0
3 years ago
You have the following data set: 10, 14, 12, 16, 13, 15, 20, 16, 10, 14. Based on the values in the given data set, which of the
kolbaska11 [484]

Trequency distribution table:

10.....2

14.....2

12.....1

16.....2

13.....1

15.....1

20....1

Answer:

The number 11 is NOT INCLUDED in the frequency distribution

5 0
2 years ago
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