If both triangles are congruent (that's what the sign means), then AD=CB, and CD=AB. Substituting what we are given into CD=AB,
6x-5=3x+10
Solving the equation:
3x=15
x=5
So we know that 2x+4 (the value of AD) becomes 2*5 +4, and you get 14. Since we know that AD=CB, then CB is also 14. No need to find y!
Answer: CB=14
Answer:
i think you are missing something
Step-by-step explanation:
Use <em>CPCTC</em> and make ratios and proportionalities to find the value of segment PW:
If △WPJ∼△DNJ, then according to CPCTC, WP must be proportional to DN and PJ must be proportional to JN. Now, we can make a ratio:
Substitute the values that are given in the diagram.
DN=87.5
NJ=56
PJ=64

Solve for x. You can do it by cross-multiplication.
The measure of segment WP is 100 meters.
Answer:
P = 12·0.5^11·0.5^1 + 0.5^12 = 13/4096 = 0.0032 = 0.32%
Answer:
The first option will take a total of 3.2 hours while the second option will take just 3 hours
This shows that the second option is faster
Step-by-step explanation:
Here, we want to compare two hiking options and see the one which is faster.
At any point in time;
Distance = speed * time
In the first option, he could hike at 3 mph for two hours.
Total distance covered would be 3 * 2 = 6 miles
Distance left = 12 miles - 6 miles = 6 miles
Time taken to hike 6 miles at 5 mph will be ; 6/5 = 1.2 hours
Total time for the first type hiking = 1.2 hours + 2 hours = 3.2 hours
For the second option;
Time = distance/speed = 12 miles/4 mph = 3 hours
We can see that the second option is faster