A) x= 70 degrees
B) c=72 degrees.
Attached is image with shown work :)
To be similar ratios of the corresponding sides should be constant.
|UV|/|EO| = 8/4=2/1
|VL|/|OG| = 4/2=2/1
|LU|/|GE| = 6/3 = 2/1
So,all three corresponding pair of these triangles UVL and EOG are in proportion, so ΔUVL and ΔEOG are similar.
Because ΔUVL and ΔEOG are similar, their corresponding angles are congruent.
m∠U=m∠E
m∠V=m∠O
m∠L=m∠G.
Answer:
∠AEC = 105°
Step-by-step explanation:
If two chords intersect each other in a circle then the vertical angles formed are equal.
In this question two chords AB and CD intersect each other at point E then ∠DEB and ∠AEC are vertical angles which are equal.
Therefore ∠DEB = ∠AEC
Here m∠DEB = 105°
Then m∠AEC = 105° ( by Theorem)
Therefore the correct answer is ∠AEC = 105°
Answer
Option C is correct.
Explanation
We are told that the equation of a straight line is
y = 3x + 9
We are then told that if the 9 is replaced with a 3, what does this indicate?
When graphs are shifted upwards or downwards along the y-axis, the effect of this translation is shown in the new equation for the graph.
If a graph, y = f(x) is moved a units upwards on the y-axis, the new graph has an equation of y = f(x) + a
If a graph, y = f(x) is moved b units downwards on the y-axis, the new graph has an equation of y = f(x) - b
So, when a graph of y = 3x + 9 changes to y = 3x + 3, it indicates that 6 units have been subtracted from the original function; showing that the original function has been moved 6 units downwards.
Hope this Helps!!!
