Focus on triangles DFC and DFE:
- They are both right triangles because DF is perpendicular to EC
- DC=DE
- DF is a common side
So, the two triangles are congruent. It follows that CF=FE, and in particular

And since x=3, the length of EF is

3x + 2y = 12
2y = -3x + 12
y = -1.5x + 6
Answer:
3
______
4 | 12
-12
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Step-by-step explanation:
12/4
The top number always goes inside (larger or not), and the bottom number always goes on the outside (larger or not).
______
4 | 12
Ask yourself how many 4's are in 12.
Let's see one 4 is just 4.
We can probably do more 4's than that.
Two 4's gives us 4+4=8.
Let's see if we can put one 4 in there.
Three 4's gives us 4+4+4=12.
So we can fit three 4's into 12 and there is nothing left over.
3
______
4 | 12
-12 (since 4 times 3 or 4+4+4 is 12)
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4/7 of a chance. There are a total of 14 cars. 6 are yellow. 8 are not. 8/14 of the cards are not yellow. 8/14 simplifyed= 4/7.
Answer:
12) 154 squared meters
13) 307 cm^2
Step-by-step explanation:
12) A circle has area pi*r^2
r is half the diameter so half of 14 is 7
pi in this case is 22/7
A=22/7 * (7)^2
A=22/7 * 49
A=22 *49/7
A=22 *7
A=154 squared meters
13) Area of rectangle is 10(18)=180
Area of half a circle is .5*pi*r^2=.5*pi*9^2
Adding the two areas together would result in a total area of 307.2 squared centimeters