Answer:
1. Ratio 9-342 Unit Rate 38
2. Ratio 38-152 Unit Rate 4
3. Ratio 2-40 Unit Rate 20
4. Ratio 84-6 Unit Rate 14
5. Ratio 5-30 Unit Rate 6
6. Ratio 5-50 Unit Rate 10
Step-by-step explanation:
Ap ex
Answer:
A) 12
You know:
<em>AB= 3x</em>
<em>AB= 3xAC= 17</em>
<em>AB= 3xAC= 17BC= 2x-3</em>
Therefore, you can put the values in a number line for reference. By doing this you can see that <em>3x + 2x -3</em> (or AB +BC) <em>= 17</em> (or AC)
From here you can set up the equation to be:
<em>1</em><em>7</em><em> </em><em>=</em><em> </em><em>2</em><em>x</em><em> </em><em>-</em><em> </em><em>3</em><em> </em><em>+</em><em> </em><em>3</em><em>x</em>
and solve for x by combining like terms:
<em>1</em><em>7</em><em>=</em><em> </em><em>5</em><em>x</em><em>-</em><em>3</em>
adding 3 to both sides:
<em>2</em><em>0</em><em>=</em><em>5</em><em>x</em>
dividing each side by 5:
<em>20/5=5x/5</em>
to get:
<em>x=4</em>
then, you're gonna plug in your <em>x</em> (4) into <em>3x</em> (your AB) in order to solve for AB:
<em>AB=3x</em>
<em>AB=3x =3(4)</em>
<em>AB=3x =3(4) =12</em>
therefore, your answer is:
AB = 12
Answer
Given the statement: In parallelogram ABCD, diagonals AC and BD intersects at point E.
Given that ABCD is a parallelogram.
As, we know that in a parallelogram diagonals bisect each other.
Since AC and BD intersect at E, and we get E is the mid point of both diagonals AC and BD.
⇒ BE = DE .....[1]
Substitute the given values of and in [1] we have;
Subtract on both sides we get;
Simplify:
Subtract 10 on both sides we get;
or
equate these factors equal to zero we get;
(x-5) = 0 and (x+2) = 0
we have;
x = 5 and x = -2
Since, x cannot be negative.
So, x =5
Diagonals BD = BE + DE = 35 + 35 =70 units.
Therefore, the value of BD = 70 units.
Answer:
Lo mcm es 252.
Step-by-step explanation:
El objetivo de esta queston es encontrar el mínimo multiplo comun de estes tres numeros.
Para eso, factoramos estes numeros en valores primos, e despues multiplicamos estos factores.
12 21 63
12 - 21 - 63|2
6 - 21 - 63|2
3 - 21 - 63|3
1 - 7 - 21|3
1 - 7 - 7|7
1 - 1 - 1
2*2*3*3*7 = 252
Lo mcm es 252.