6 3
9 8
12 13
Determine whether the table represents a proportional relationship. If a proportional relationship exists, what is the constant ratio of
y
x
?
A) yes;
5
3
B) yes;
3
5
C) yes;
1
3
D) The table does not represent a proportional relationship.
Answer:
Step-by-step explanation:
Yes, they have a proportional relationship.
The table shows sequences, where x-values increase +3, and y-values increase +5, that is, while x increases 3 unites, y increases 5 units, this ratio between variables can be described as the slope:
This fraction or ratio is referring to what we said in words, while y increases 5 units, x increases 3 units. We observe that is a positive ration, this means that magnitudes are both increasing.
Therefore, the right answer is the first one A.
B.angle DEF is an acute angle
C.angle DEF is an obtuse angle
D.angle DEF is a straight angle
When we draw a circle with the centre at D and have a tangent HF to the circle D at point E, the angle DEF will be a right angle.
In other words angle DEF = 90 degrees
Since HF, the tangent, is a straight line, the other angle DEH should also be = 90 degrees because the straight line has an angle of 180 degrees
Therefore angle DEF = angle DEH = 90 degrees
Therefore, angle DEF is congruent to angle DEH (Option A)
Answer:
Answer choice 'A'
Step-by-step explanation:
since the rightmost angle is 63°, then, the one across it has to equal 63°.
then y=40°. the only answer choice that would be correct would be 'A', but if you want to double check, a line has to equal 180°.
. So, then . So both parts of the answer choice are right