3m²n + 12mn²
3mn(m) + 3mn(4n)
3mn(m + 4n)
The GCF of this expression is 3mn.
Height = 4cm is the correct answer
Answer:
1. We have been given that a∥b , and c is neither parallel to a nor b.
Let us see which of our given options are correct.
A. m∠7 can not be equal to m∠11 as line c is not parallel to line a.
B. m∠5 can not be equal to m∠12 as line c is not parallel to line b.
C. By alternate interior angles m∠4=m∠5 as ∠4 is inside line a and ∠5 is inside line b. Both angles are on the opposite sides of transversal.
D. Since we know that corresponding angles are congruent. We can see that ∠5 corresponds to ∠1, therefore, m∠1=m∠5.
Therefore, Option C and D are correct choices.
2. We have been given that AB∥CD and m∠4=85°. We are asked to find measure of ∠5.
Since we know that same side interior angles are supplementary. In our figure we can see that ∠4 and ∠5 are same side interior angles.
Therefore, measure of ∠5 will be 95 degrees.
Step-by-step explanation:
1. is m∠4=m∠5 by the alternate interior angle theorem.
2. Angles 4 & 3 are supplementary angles or linear pair and so they have to equal 180 and 180 - 85= 95 3 & 5 are corresponding angles so 95 should be your answer.
plz give braniy
Answer:
a) 3
b) 12
c) 4
Step-by-step explanation:
a)
17 - 4x = 8 - x
9 = 3x
x = 3
b)
3x ÷ 4 = 9
3x = 36
x = 12
c)
5x + 6 × (x + 2) = 56
5x + 6x + 12 = 56
11x = 44
x = 4
