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4 years ago

Which equation can be used to find the value of “b” if side “a” measures 8.7 cm?

Mathematics

2 answers:

Nataly_w [17]4 years ago

6 0

Answer:

D. $34.8+b=54.6$

Step-by-step explanation:

We have been given an image of a scalene triangle. We are asked to find the equation that can be used to find the value of “b".

We know that perimeter of a triangle is sum of three side lengths of the triangle.

Upon adding the measure of side lengths for our given triangle, we will get:

$\text{Perimeter}=a+3a+b$

Combining like terms we will get,

$\text{Perimeter}=4a+b$

Substituting the value of perimeter and 'a' in above equation we will get:

$54.6=4\times 8.7+b$

$54.6=34.8+b$

$34.8+b=54.6$

Upon looking at our given choices, we can see that option D is the correct choice.

valina [46]4 years ago

3 0

Answer:

Option D) b + 34.8 = 54.6 is the equation can be used to find the value of b.

Step-by-step explanation:

We are given the following information in the question:

Perimeter of scalene triangle = 54.6 cm

The sides of triangle given are b, a and 3a.

Thus, we can write that:

$\text{Perimeter of Triangle = Side 1 + Side 2 + Side 3} = b + a + 3a = 54.6~cm$

We are given that a = 8.7 cm

Putting this value, we have:

$b + a + 3a = 54.6~cm\\b + 8.7 + 3(8.7) = 54.6\\b + 8.7 + 26.1 = 54.6\\b + 34.8 = 54.6\\b = 54.6 - 34.8\\b = 19.8~cm$

Thus, Option D) b + 34.8 = 54.6 is the equation can be used to find the value of b.

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3 years ago

For each pair of numbers, find a third whole number such that the three numbers form a pythagorean triple.

BabaBlast [244]

Answer:

Part 1) The third whole number is 44

Part 2) The third whole number is 40

Part 3) The third whole number is 25

Step-by-step explanation:

we know that

The Pythagoras theorem states that

In a right triangle

$c^{2} =a^{2} +b^{2}$

where

c is the greater length side

a and b are the legs

Case 1) we have

33,55

step a

Let

$a=33, b=55$

Find the value of c

$c^{2} =a^{2} +b^{2}$

$c^{2} =33^{2} +55^{2}$

$c^{2} =4,114$

$c =64.14$ ------> is not a whole number

step b

Let

$a=33, c=55$

Find the value of b

$b^{2} =c^{2} -a^{2}$

$b^{2} =55^{2} -33^{2}$

$b^{2} =1,936$

$b=44$

Case 2) we have

42,58

step a

Let

$a=42, b=58$

Find the value of c

$c^{2} =a^{2} +b^{2}$

$c^{2} =42^{2} +58^{2}$

$c^{2} =5,128$

$c =71.61$ ------> is not a whole number

step b

Let

$a=42, c=58$

Find the value of b

$b^{2} =c^{2} -a^{2}$

$b^{2} =58^{2} -42^{2}$

$b^{2} =1,600$

$b=40$

Case 3) we have

60,65

step a

Let

$a=60, b=65$

Find the value of c

$c^{2} =a^{2} +b^{2}$

$c^{2} =60^{2} +65^{2}$

$c^{2} =7,825$

$c =88.46$ ------> is not a whole number

step b

Let

$a=60, c=65$

Find the value of b

$b^{2} =c^{2} -a^{2}$

$b^{2} =65^{2} -60^{2}$

$b^{2} =625$

$b=25$

6 0

3 years ago

In a quadrilateral, the measure of two opposite angles is the same. Each of the other

natulia [17]

Answer:

the two opposite angles equal 45 and the other two who are twice the amount is 90

Step-by-step explanation:

sum of angles in a quadrilateral is 360. Lets name the two equal diagonal angles x that means the equation wil be

x+x+2x+2x=360

8x=360

x=45

so the equal diagonal ones will be 45 and the other two angles will be twice as much so 45x2=90

5 0

3 years ago