Can anyone help me with this

Mathematics

2 answers:

marin [14]3 years ago

7 0

Answer:

Step-by-step explanation:

Citrus2011 [14]3 years ago

3 0

The answer is 27 :) ......

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Segment EC bisects segment AD at C. Find the value of “x," AD = 6x - 4 and AC = 4x - 3, and the measure of CD.

madreJ [45]

Answer: The value of x=1.

Measure of CD =1 unit.

Step-by-step explanation:

Given: Segment EC bisects segment AD at C.

That means , EC divided AD into two equal parts AC and CD,

i.e. $AC=\dfrac{AD}{2}$

Also it is given that $AD = 6x - 4$ and $AC = 4x - 3.$

then, we have

$4x-3=\dfrac{6x-4}{2}\\\\\Rightarrow\ 4x-3= 3x-2\\\\\Rightarrow\ 4x-3x=-2+3\\\\\Rightarrow\ x= 1$

So, the value of x=1.

Now, CD = AC = 4(1)-3 =4-3 =1 unit.

Hence, Measure of CD =1 unit.

8 0

3 years ago

I didn't get this.... "Simplify using like terms. 2x+4y+4x-2y"

kykrilka [37]

You add your x's 2+4= 6x and do the same with your y's 4-2= 2y you do with with ONLY X's with X's and Y's with Y's bc they are like terms

6x+2y should be your answer

4 0

3 years ago

Read 2 more answers

Solve the system of equations using the substitution method.

ANTONII [103]

The solution of system of equations is: x = 1.6 and y = 1.2

Step-by-step explanation:

Given equations are:

$y = 2-\frac{1}{2}x\ \ \ \ Eqn\ 1\\x-3y = -2\ \ \ eqn\ 2$

Putting $y = 2-\frac{1}{2}x$ in equation 2

$x - 3(2-\frac{1}{2}x) = -2\\x - 6 + \frac{3}{2}x = -2\\x +\frac{3}{2}x = -2+6\\\frac{2x+3x}{2} = 4\\\frac{5x}{2} = 4\\5x = 4 * 2\\5x = 8\\x = \frac{8}{5}\\x = 1.6$