Answer:
m∠EGF = 65° and m∠CGF = 115°
Step-by-step explanation:
Given;
∠EFG = 50°
EF = FG
Solution,
In ΔEFG m∠EFG = 50° and EF = FG.
Since triangle is an isosceles triangle hence their base angles are always equal.
∴
Let the measure of ∠EGF be x.
∴ ![m\angle FEG = m\angle EGF = x](https://tex.z-dn.net/?f=m%5Cangle%20FEG%20%3D%20m%5Cangle%20EGF%20%3D%20x)
Now by angle Sum property which states "The sum of all the angles of a triangle is 180°."
m∠EFG + m∠FEG + ∠EGF = 180
![50\°+x+x=180\°\\50\°+2x=180\°\\2x= 180\°-50\°\\2x=130\°\\x=\frac{130}{2}= 65\°](https://tex.z-dn.net/?f=50%5C%C2%B0%2Bx%2Bx%3D180%5C%C2%B0%5C%5C50%5C%C2%B0%2B2x%3D180%5C%C2%B0%5C%5C2x%3D%20180%5C%C2%B0-50%5C%C2%B0%5C%5C2x%3D130%5C%C2%B0%5C%5Cx%3D%5Cfrac%7B130%7D%7B2%7D%3D%2065%5C%C2%B0)
Hence
m∠EGF = 65°
Also 'The sum of angles that are formed on a straight line is equal to 180°."
m∠EGF + m∠CGF = 180°
65° + m∠CGF = 180°
m∠CGF = 180° - 65° = 115°
Hence m∠EGF = 65° m∠CGF = 115°
W = 2
2 + 8 = 10
Hope I was able to help!
Answer:
x = 2
Step-by-step explanation:
the diagonals of a rectangle are congruent.
2x + 6 = 3x + 4
2x - 2x + 6 = 3x - 2x + 4
6 = x + 4
x = 2
L: length defective<span>, T </span>: texture defective.
Given that the strip is length defective, the probability that this strip is texture defective is given by
<span><span>P (TL) =P (T ∩ L)=0.008= 0.08.</span><span>P (L)0.1</span><span>| www.imali.info</span></span>
5m+6+m-18=60That's a linear equation in 'm '. There's only one number that 'm' can be
that makes the equation true. The assignment is usually to find out what
that number is.
Before we get carried away and confuse ourselves, let's do some work
on the left side, and try to make it simpler.
Do you see that ' 5m ' and that ' +m ' ? We can combine them, and write ' 6m '.
Do you see that ' +6 ' and that ' -18 ' ? We can combine those, and write ' -12 '.
Now the equation is much simpler:
6m - 12 = 60
Add 12 to each side:
6m = 72
Divide each side by 6 :
<u>m = 12 </u>