Answer: 20 feet.
Step-by-step explanation:
Observe the right triangle attached.
You need to find the value of "x".
Then, you can use the Pythagorean Theorem:

Where "a" is the hypotenuse of the triangle, and "b" and "c" are the legs.
In this case, you can identify that:

Substitute these values into
:

Now, you need to solve for x to find how far up the wall the top of the ladder reaches. Then you get:



Answer:
1. c) Add/ Subtract the same quantity to/from both sides
2) Yes
Step-by-step explanation:
Answer two questions about Equations A and B:
A. 3x – 1= 7
B. Зx = 8
1) To get Equation B from Equation A we need to take the following steps
A. 3x – 1 = 7
We add one to both sides
3x - 1 + 1 = 7 + 1
3x - 0 = 8
3x = 8
Option c is the correct option.
2) We are given Equations:
A. 3x – 1= 7
B. Зx = 8
3x - 1 = 7 = 3x = 8
3x = 7 + 1 = 3x = 8
3x = 8 = 3x = 8
Therefore, we can say, Yes, Equation A is equivalent to Equation B, hence they have the same solution.
Answer:
They are supplementary
Step-by-step explanation:
Since AB and DC are parallel, then the alternate interior angles are congruent because there is transversal cutting the parallel lines (BC). So m<B is supplementary to m<C
Answer:
-1.2
Step-by-step explanation:
3n + 5 = 1/2(11n + 16)
3n + 5 = 5.5n + 8
5 = 2.5n + 8
-3 = 2.5n
-3/2.5 = n
-1.2 = n
Hope this helps!
Answer:
(3,-4)
Step-by-step explanation: