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Harman [31]
3 years ago
10

6. Use the image below to find the missing value.

Mathematics
1 answer:
Katarina [22]3 years ago
3 0

Option C:

The value of m is 4.

Solution:

Given data:

AB = 4m – 15

BC = 5m –6

AC = 15

<u>To find the value of m:</u>

Using segment addition postulate,

AB + BC = AC

4m – 15 + 5m –6 = 15

Arrange the like terms together.

4m + 5m – 15 – 6 = 15

9m – 21 = 15

Add 21 on both sides of the equation,

9m = 36

Divide by 9 on both sides of the equation.

m = 4

The value of m is 4.

Option C is the correct answer.

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Which of the following sides are congruent?
guajiro [1.7K]

Answer:

In these two parallelograms, the sides that are same are:

ST = WX

TU = XY

UV = YZ

SV = ZW

Therefore according to the question, the correct option is

d) ST = WX

If my answer helped, please mark me as the brainliest!!

Thank You!

5 0
3 years ago
How many different ways can you write a fraction that has a numerator of 2 as a sum of fractions
svetoff [14.1K]
Infinitely many ways! 
Suppose you have the fraction 2/d.

<span>Pick </span>any<span> pair of integers a and b where b ≠ 0.</span>
Then 2b-ad is and integer, as is bd so that (2b - ad)/bd is a fraction.

Consider the fractions a/b and (2b - ad)/bd

<span>Their sum is </span>
a/b + (2b-ad)/bd = ad/bd + (2b-ad)/bd = 2b/bd = 2/d - as required.

<span>Since a and b were chosen arbitrarily, there are infinitely many possible answers to the question.</span>
5 0
4 years ago
4. At Eagle Rock High School, the probability that a student takes theatre and choir is 0.052.
aleksklad [387]

Answer:

B

Step-by-step explanation:

Conditional probability is:

P(A given B) = P(A and B) / P(B)

Here, P(A and B) = 0.052 and P(B) = 0.17:

P(A given B) = 0.052 / 0.17

P(A given B) = 0.306

6 0
3 years ago
In 2016, there were a total of 41 national battlefields and national memorials. The number of national memorials is three less t
goldfiish [28.3K]

Answer: 11, 30

Step-by-step explanation:

Given

There were a total of 41 national battlefields and national memorials

Suppose there are x national battlefields

So, national memorials are 3x-3

The sum of the two must be 41

\Rightarrow x+3x-3=41\\\Rightarrow 4x=44\\\Rightarrow x=11

So, there are 11 national battlefields and 3\times 11-3=30 national memorials.

3 0
3 years ago
you have a piece of wood that is 72 inches long u cut the wood into three pieces the second piece is 6 inches longer than the fi
tangare [24]

Let

x---------> the length of the first piece

y---------> the length of the second piece

z---------> the length of the third piece

we know that

x+y+z=72 -------> equation 1

y=x+6 -----> solve for x

x=y-6 -------> equation 2

z=6+y -------> equation 3

substitute equation 2 and equation 3 in equation 1

[y-6]+y+[6+y]=72

3y=72

y=(72/3)=24 in

<u>Find the value of x</u>

x=y-6 -------> equation 2

x=24-6=18 in

<u>Find the value of z</u>

z=6+y -------> equation 3

z=6+24=30 in

therefore

<u>the answer is</u>

the length of the first piece is 18 in

the length of the second piece 24 in

the length of the third piece is 30 in

7 0
3 years ago
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