Answer:
x = 11
y = 17
Step-by-step explanation:
5y and (7y - 34) are vertical angles which means they're equal to each other:
5y = 7y - 34
5y - 7y = -34
-2y = -34
y = 17
(8x + 7) and (9x - 4) are also vertical angles:
8x + 7 = 9x - 4
8x - 9x = -4 - 7
-x = -11
x = 11
Answer:
Consider the following calculations
Step-by-step explanation:
Since 1 Blimp uses 2 components of B and C each
=> choosing 2 components of B(remaining after using in other prototypes) for 1st model= 22C2
choosing 2 components of B(remaining after using in other prototypes) for 2nd model= 21C2
choosing 2 components of B(remaining after using in other prototypes) for 3rd model= 20C2
choosing 2 components of B(remaining after using in other prototypes) for 4th model= 19C2
choosing 2 components of B(remaining after using in other prototypes) for 5th model= 18C2
and choosing 2 components of C(remaining after using in other prototypes) = 24C2
Similarly for C
P(5 prototypes of Blimp created)=[(22C2 / 25C2 )*(24C2 / 25C2 )] + [(21C2 / 25C2 )*(23C2 / 25C2 )]+[(20C2 / 25C2 )*(22C2 / 25C2 )]+[(19C2 / 25C2 )*(21C2 / 25C2 )]+[(18C2 / 25C2 )*(20C2 / 25C2 )]
Answer: 2 nickels
Rachel has 20 coins composed of nickles, dimes and quarters
amounting to $3.70. Her quarters are twice the number of her dimes, the number
of nickels can be computed as follows:
If X= the number of
dimes at .10 each
Then 2x= the number
of quarters at .25 each and
20-(X-2X)= the number of nickels at .05 each
<span>
<span><span>
<span>
The equation will be:
X(.1)+2(X).25+(20-X-2X).10=3.70
</span>
</span>
<span>
</span>
<span>
<span>
.1X+2X(.25)+(20-X-2X).05=3.70
</span>
</span>
<span>
<span>
.1X+.5X+(20-3X).05=3.70
</span>
</span>
<span>
<span>
.6X+(1-.15X)=3.70
</span>
</span>
<span>
<span>
.6X+1-.15X=3.70
</span>
</span>
<span>
<span>
.45X=3.70-1
</span>
</span>
<span>
<span>
.45X=2.70
</span>
</span>
<span>
<span>
X=2.70/.45
</span>
</span>
<span>
<span>
X=6 number of dimes
</span>
</span>
<span>
<span>
2X=12 number of quarters
</span>
</span>
<span>
<span>
20-6-12=2 number of nickels
</span>
</span>
</span></span>
Answer:
Scale factor: 3/2
Step-by-step explanation:
- ABCD is similar to DEFG
- We need to find DEFG from ABCD
- If we multiply values on ABCD by 3/2, then we get DEFG
- So, the scale factor is 3/2
Answer:
The second answer is correct
