Answer:
C.
Step-by-step explanation:
We have been given an image of two parallel lines crossed by a transversal. We are asked to find the measure of m.
We can see that angle that measure 78 degrees and angle m are consecutive interior angles.
Since we know that consecutive interior angles are supplementary, so we can set an equation to find the measure of m as:
Therefore, the value of m is 102 and option C is the correct choice.
Answer:
The triangles are congruent by SAS.
Step-by-step explanation:
The triangle have two congruent sides because it is given. The congruent angle is the angle at which they connect, these two angles are congruent because they are vertical angles.
Answer:
21
Step-by-step explanation:
product of 3 number= 1197
1st number= 3
2nd number= 19
3rd number= let,X
Now,
3*19*X= 1197
or, 57*X= 1197
or, X= 1197/57
X= 21
Answer:
16 ways
Step-by-step explanation:
Number of available options other than the base model = 4
Hence ;
Jacobsen can choose :
Base model OR (base model + one option) OR (base model + 2 options) OR (Base model + 3 options) OR (Base model + 4 options)
4C0 + 4C1 + 4C2 + 4C3 + 4C4
Recall:
nCr = n! / (n-r)!r!
Using calculator :
4C0 + 4C1 + 4C2 + 4C3 + 4C4
1 + 4 + 6 + 4 + 1
= 16 ways