9514 1404 393
Answer:
CPCTC
Step-by-step explanation:
The applicable reason for statement 4 is "Corresponding Parts of Congruent Triangles are Congruent (CPCTC)".
The reason shown in your problem statement is applicable only within one triangle. The segments of interest are in two different triangles.
1.) 6x-8y=18, 2x+8y=6 → Multiplication property of equality
2.) 8x=24 → Addition property of equality
3.) x=3 → Division property of equality
4.) 3(3)-4y=9 → Substitution property of equality
5.) 9-4y=9 → Simplify
6.) -4y=0 → Subtraction property of equality
7.) y=0 → Division property of equality
We just have to solve to get a simplified answer
we have
9y + 5 = 7 + 3y + 2y
9y +5 = 7 + 5y
9y-5y= 7-5
4y=2
so if we solve further we will not get the answer that is given in option
so option d is the write answer
Answer: The answer is the picture shown below
Step-by-step explanation:
To do this you will need to make a coordinate plane about 20 up and 20 down. So there is a formula that is y=mx+b which is called the slope intercept form and as you can see the problem given to you was already given in this formula. The variable m in the equation is the slope and slope is also known as rise (which basically means go up if positive and down if negative) over run (which is right if positive and left if negative) and as you can see in the equation the number 4/5 is the variable m. Since slope is rise over run 4 would be the rise and 5 would be the run, so you would go up 4 and right 5 because they are both positive. Now there is another variable that is b which would be the -1. In slope intercept formula b is the y intercept so -1 is where the line would cross the y axis. Now that you know all the parts to the slope you can put it together giving you the answer.
Area of triangle = 24cm
Area of rectangle = 120
therefore, w x 12 = 120
w = 10