Answer: C. 65
Step-by-step explanation:
Concept:
Here, we need to know the concept of an isosceles triangle.
An isosceles triangle is a triangle that has any two of its sides equal to each other. The corresponding angles of the equal sides are also equal.
If you are still confused, you may refer to the attachment below for a graphical explanation.
Solve:
Let x be m∠EGF
2x + 50 = 180 ⇒ Write the equation
2x + 50 - 50 = 180 - 50 ⇒ Subtract 50 on both sides
2x = 130 ⇒ Simplify
2x / 2 = 130 / 2 ⇒ Divide 2 on both sides
x = 65 ⇒ Simplify
Hope this helps!! :)
Please let me know if you have any questions
Step-by-step explanation:
3 - 2(b - 2) = 2 - 7b
To solve this first distribute -2 to (b - 2)
3 + (-2b + (-2) x -2) = 2 - 7b
when we simplify this it becomes:
3 + (-2b + 4) = 2 - 7b
We take (-2b + 4) out of the parenthesis:
3 - 2b + 4 = 2 - 7b
Now simplify again.
7 - 2b = 2 - 7b
Now send all the b's to one side and constants on the other.
7 - 2 = -7b +2b
5 = 5b
b = 1
Let the third angle of the triangle be y.
y + 64° + 45° = 180° (angle sum of triangle is 180°)
x + y = 180° (angle of a straight line is 180°)
Notice that they both equal 180°. This means that they are the same thing, hence:
y + 64° + 45° = x + y
Since y = y, it is not necessary to write them down. Remove y from both sides of the equation:
64° + 45° = x
Surprise! exterior angle = sum of interior opposite angles.
I hope this clears up any confusion you might have. If not, feel free to leave a comment with your question.
Answer:
17/7
Step-by-step explanation:
Cross multiply
10y - 10 = 3y+7
7y - 10 = 7
7y = 17
y = 17/7
Answer:
x=20, please confirm as problem layout is incorrect.
Step-by-step explanation:
I’m going to assume that this means 2/5x-4=4
You get 2/5x=8
X=20