Answer:
x= or 11.5---
Step-by-step explanation:
First, simplify the equation by adding the like terms.
15x+3x=18x
-17+-11=-28
So, the equation is:
18x-28=180
+28 +28 <---(Add the 28 to both sides to cancel out the 28 with opposite operations)
18x=208
/18 /18 <---(Divide the 18 as opposite operation to get x by itself)
x=208/18
=104/9
or 11.5---
Answer:
50 degrees
Step-by-step explanation:
The diagram is attached below.
Theorem: The Exterior angle of a triangle is equal to the sum of two opposite interior angles.
By the theorem stated above:
m∠3+m∠5=m∠1
2x+20+30=3x
3x-2x=50
x=50
The value of x is 50 degrees.
Answer:
Step-by-step explanation:
since AD is a median it implies that triangle ABC is bisected to two equal right angled triangle which are ADB and ADC.
FE is parrallel to BC and cuts AB at F and AC at E shows that there are two similar triangles formed which are AFE and ABC.
Recall that ADC is a right angled triangle, ED bisects a right angled triangle the the ADE = .
Now, Let FD bisect angle ADB,
then ADF = too.
Since AFX is similar to Triangle ABD and that Triangle AEX is similar to Triangle ACD, then EDX is similar to FDX
FDE = ADF + ADE =
