Answer:
See explanation
Step-by-step explanation:
Consider triangles ABC and DEC. In these triangles,
- given
- given;
as vertical angles.
So,
by SAS postulate (two sides and angle between these sides of one triangle are congruent to two sides and angle between these sides of another triangle, so triangles are congruent).
Congruent triangles have congruent corresponding parts, hence,

Answer:
40x-24
3b(6c-3a+c)
Step-by-step explanation:
For the first one use distributive property and multiply each term by 8.
For the second one find a common factor which is 3b and divide all terms by that number.
Answer:
The solution is -5 or 11
Step-by-step explanation:
We are given the equation;

We are supposed to solve the equation;
Taking 5 to the other side;


Dividing both sides by 4


We can cube both sides;


Then we can get the fourth root on both sides of the equation;
![\sqrt[4]{ (3-x)^4} =\sqrt[4]{4096}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%20%283-x%29%5E4%7D%20%3D%5Csqrt%5B4%5D%7B4096%7D)
We get;

Solving for x

Therefore;

Therefore, the solution is -5 or 11
Answer:
The original number is 
Step-by-step explanation:
Let
x -----> the original number
Remember that

The increased number is equal to multiply the original number by the factor 1.071
so

Solve for x
Divide by 1.071 both sides
