Answer:69
Step-by-step explanation:
Answer:
Scale factor = 3
Step-by-step explanation:
Using similar triangles
AT/AG = AB/AC
9/3 = x+10/3x-10
Cross multiply
3(x+10) = 9(3x-10)
Expand
3x+30 = 27x-90
3x-27x = -90 - 30
-24x = -120
x = 120/24
x = 5
For the larger triangle;
AC = 3x-10
AC = 3(5)-10
AC =15-10
AC = 5
AB = x+10
AB = 5+10
AB = 15
For the scale factor;
Since AT/AG = AB/AC
9/15 = 3/5
3*3/5*3 =3/5
Since the numerator and denominator of the larger triangle is multiplies by the same factor i.3 3. Hence the scale factor is 3
Answer:
2 11/15
Step-by-step explanation:
Let X equal the decimal number
Equation 1:
X=2.73¯¯¯(1)
With 1 digits in the repeating decimal group,
create a second equation by multiplying
both sides by 101 = 10
Equation 2:
10X=27.33¯¯¯(2)
Subtract equation (1) from equation (2)
10XX9X===27.33...2.73...24.6
We get
9X=24.6
Solve for X
X=24.69
Multiply to eliminate 1 decimal places.
Here you multiply top and bottom by 1 10's
= 101 = 10
24.69×1010=24690
Find the Greatest Common Factor (GCF) of 246 and 90, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 6,
246÷690÷6=4115
Simplify the improper fraction,
=21115
In conclusion,
2.73¯¯¯=2 11/15
Answer:
8:14, 12:27, 40:70
Step-by-step explanation:
The answer to this question would be: <span>-$1,700
In this question, we can separate the account into positive/debit and negative/credit value. The positive/debit value should be:
Joaquin has $1,300 in the bank
He has $4,000 worth of investment
Total positive value = $1300 + $4000= $5300
The negative value should be
</span><span>$7,000 worth of credit card debt
</span>Total positive value =$7000
<span>
Then the net worth should be: $5300 - $7000= -$1700</span>
