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

<span>
Question 2.2. Which ordered pairs make the inequality true?</span><span>2x + y > –4</span>The solutions are (-1, 2) and (1, -5), look at the graph in the attachment.
Question 3.3. What is the slope of the line represented by the equation?There is no equation
Question 4.4. What is the slope of the line represented by the equation 6x - 3y = 4?Convert to slope-intercept form:
6x - 3y = 4
Subtract 6x to both sides:
-3y = -6x + 4
Divide -3 to both sides:
y = -6/-3x + 4/-3
Simplify:
y = 2x - 4/3
Now it's in slope intercept form, y = mx + b, where 'm' is the slope. So the slope here is 2.
Question 5.5. What is the simplified form of the expression?15y - 3(4y + 10)
Distribute -3 into the parenthesis:
15y - 12y - 30
Combine like terms:
3y - 30
Answer:
1364
Step-by-step explanation:
∑ means that to add values
So n goes from 1 to 5 and you have to add them from 1 to 5
∑n=1 to 5 4^n = 4^1 + 4^2 + 4^3 + 4^4 + 4^5
4^n means that 4 is n times if 4^3 its mean that 4 is 3 times
= 4 + 16 + 64 + 256 + 1024
= 1364 Answer
I hope you got the idea. Thanks
Answer:x= 9
Step-by-step explanation:
-4(x+5) = 16
-4*x= -4x -4*5= -20
16 - -20= 36
-4x/-4= x 36/-4=9
Step-by-step explanation:
This is a right triangle with two congruent angles. so this is a isoceles right triangle or called a
45-45-90 triangle. This means that the legs are equal to each other so



