Answer:
1. The correct options are 2 and 4.
2. The measure of angle 6 is 60°.
Step-by-step explanation:
1.
It is given that a∥b , and c is not parallel to a or b. So, we can not establish any relationship among the angles on the line a,b and angles on the line c.
If a traversal line intersect two parallel line, then corresponding angles, alternate exterior angle and alternate interior angles are equal.
Therefore correct options are 2 and 4.
2.
It is given that AB∥CD and m∠3=120°.
Statements Reasons
m∥nm∠1=120° Given
∠5≅∠1 Corresponding angles are equal
m∠5=m∠1 Angle Congruence Postulate
m∠5=120° Substitution Property of Equality
m∠6+m∠5=180° Supplementary angle property
m∠6+120°=180° Substitution Property of Equality
m∠6=60° Subtraction Property of Equality
Therefore the measure of angle 6 is 60°.
Answer:
2h +36
Step-by-step explanation: Further explanation ;
Answer: Option 'd' is correct.
Step-by-step explanation:
Since we have given that
Margin of error = 0.5 years
Standard deviation = 5
At 90% confidence, z = 1.645
We need to find the minimum size of the sample they must take.
So,
Hence, Option 'd' is correct.
It’s 6 I think I’m kind of smart so I might be right
Answer: It does not confirm that ΔABC∼ΔA'B'C by the AA criterion as the measure of angle B is negative which is not possible.
Step-by-step explanation:
Since we have given that
In ΔABC,
∠A = 8x - 10, ∠B = 10x - 40, and ∠C = 3x + 20
In ΔA'B'C',
∠A' = 6x + 10, ∠B' = 70 - x, and ∠C' = 10x 2
Since ΔABC gets a dilation by a scale factor of 
So, it becomes,
Now, put the value of
It does not confirm that ΔABC∼ΔA'B'C by the AA criterion as the measure of angle B is negative which is not possible.
