You can use the similarity approach of these two triangles CBD and CAE
as a result:
![\frac{BD}{AE} = \frac{10}{2x} = \frac{CD}{CE} = \frac{3x}{?}](https://tex.z-dn.net/?f=%20%5Cfrac%7BBD%7D%7BAE%7D%20%3D%20%5Cfrac%7B10%7D%7B2x%7D%20%3D%20%5Cfrac%7BCD%7D%7BCE%7D%20%3D%20%5Cfrac%7B3x%7D%7B%3F%7D%20)
so:
? = 6x^2 / 10 = 0.6 x^2
and the fact of:
"The
segment connecting the midpoints of two sides of a triangle is parallel to the
third side and equals its half length"
so:BD = 0.5 AE 10 = 0.5 * 2x >>> x= 10
Back to:
? =0.6 x^2 = 0.6 * 10^2 = 0.6 * 100 = 60
AHope that helps
First ask yourselfhat needs to be dristributed.
That would be -1 (x-9)
To distribute you have to multiply the number out side of the parentheses (-1) by each term inside the parentheses( x and -9)
-1×x=-x
-1×-9=9
Now the expression is
-x+9+4x
To simplify you have to combine like terms (4x and-x)
4x-x=3x
Your answer is 9+3x or 3(3+x).
Answer:
y=4 (6,4)
Step-by-step explanation:
hope this helps!
X+y+z=92
y=3x
z=2x-10
subsitute
x+3x+2x-10=92
6x-10=92
add 10 to both sdies
6x=102
divide by 6
x=17
subsitute
y=3x
y=3(17)
y=51
z=2x-10
z=2(17)-10
z=34-10
z=24
x=17
y=51
z=24
the numbers are 17,51,24
Answer:
![\Huge\boxed{x=33.2}](https://tex.z-dn.net/?f=%5CHuge%5Cboxed%7Bx%3D33.2%7D)
Step-by-step explanation:
Hello there!
We can solve for x using law of sines
As we can see in the image a side length divided by sin ( its opposite angle) = a different side length divided by sin ( its opposite angle)
So we can use this equation to solve for x
![\frac{21}{sin(35)} =\frac{x}{sin(65)}](https://tex.z-dn.net/?f=%5Cfrac%7B21%7D%7Bsin%2835%29%7D%20%3D%5Cfrac%7Bx%7D%7Bsin%2865%29%7D)
Our objective is to isolate the variable using inverse operations so to get rid of sin (65) we multiply each side by sin (65)
![\frac{x}{sin(65)} sin(65)=x\\\\\frac{21}{sin(35)} sin(65)=\frac{21sin(65)}{sin(35)}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7Bsin%2865%29%7D%20sin%2865%29%3Dx%5C%5C%5C%5C%5Cfrac%7B21%7D%7Bsin%2835%29%7D%20sin%2865%29%3D%5Cfrac%7B21sin%2865%29%7D%7Bsin%2835%29%7D)
we're left with
![x=\frac{21sin(65)}{sin(35)}\\x=33.18208755](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B21sin%2865%29%7D%7Bsin%2835%29%7D%5C%5Cx%3D33.18208755)
assuming we have to round the answer would be 33.18 or 33.2