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natita [175]
3 years ago
6

The model shows the expression 20 + 16. Which expression is equivalent to this sum?

Mathematics
2 answers:
Vinvika [58]3 years ago
7 0

Answer:

The answer is C. 4(5+4)

Step-by-step explanation:

20+16=36 so looking at the choices, C is best fit.

When using PEMDAS, always start with the <em>parenthesis</em>

5+4 which gives you 9.

Since there are no exponents, we are left with multiplying

4(9)=36

Natali5045456 [20]3 years ago
4 0

Answer:

4(5+4)

Step-by-step explanation:

4(5+4) equals 36, and 20 + 16 equals 36 as well, so therefore 20 + 16 is equivalent to 4(5+4)

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May I please get help with other this problem for I am confused as I have tried multiple times to get the right answer
Aleks [24]

Using pythagoras

\begin{gathered} x^2=16^2+12^2 \\ x^2=256+144 \\ x^2=400 \\ \text{Take the square root} \\ x=20 \end{gathered}

The final answer

20

5 0
1 year ago
B is the midpoint of ac. Ab = x+9 and bc = 3x-7 find x and ac
natali 33 [55]

To solve this problem, we need to know 2 relationships:

<h2>1. AC = AB + BC</h2>

The distance of AC is the sum of AB and BC.

AC = AB + BC

We know this since the distance of going from A to C (AC) is the same as going from A to B (AB), then B to C (BC).

<h2>2. AB = BC</h2>

The distance of AB is the same as AC.

AB = BC

We know this since B is in the middle of AC, so the distance from B to A (BA) is the same as the distance from B to C (BC).

You can see the attached image (at the bottom) for a visualization of this.

<h2>Putting them together</h2>

Since we know the values of AB and BC...

AB = x+9\\BC = 3x-7

...we can put these values into our 2nd equation and solve for x:

AB = BC\\x + 9 = 3x -7

Add 7 to both sides:

x + 16 = 3x

Subtract x from both sides:

16 = 2x

Divide both sides by 2:

8 = x\\x = 8

Knowing x, we can find the distance of AC using our first equation.

AC = AB + BC

Let's put in the values of AB and BC:

AC = (x+9) + (3x-7)

Before we put in x = 8, we can simplify this:

AC = (x+9) + (3x-7)\\AC = x + 9 + 3x -7\\AC = x + 3x + 9 -7\\AC = 4x + 9 - 7\\AC = 4x+2

We group x and 3x and add those together. Then we subtract 7 from 9.

With this equation, we can put in x = 8:

AC = 4x +2\\AC = 4*8 + 2

Since 4 * 8 = 32:

AC = 4 * 8 + 2\\AC = 32 + 2\\AC = 34

Finally, we have found both x and AC.

<h2>Answer</h2>

x = 8

AC = 34

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3 years ago
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