Answer:
3x > 6
x > 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
MP=27, MN=NO=OP=MP/3=27/3=9
LN=MP-2MN
LN=45-2(9)
LN=45-18
LN=27
Answer:
-6, -5, -4, -3, and -2
n≥-6
Step-by-step explanation:
Multiply both sides by 2
n≥-6
so the values that make this true are -6, -5, -4, -3, and -2
Answer: 92 and 93
Step-by-step explanation:
The two consecutive integers will be written thus
= x + (x + 1)
The sum. x + (x+ 1).= 185'
x + x + 1 = 185
2x + 1 = 185
2x = 185 - 1
2x = 184
x = 184/2
= 92.
Therefore, the Integers are 92 and 93.
Answer:
Part A none
Part B drawn
Step-by-step explanation:
Suppose the transversal intersects a pair of parallel lines it creates two pairs of alternate exterior angles.
Now if we look at the first figure we find that the alternate exterior angle 1 and 4 are equal . Also 3 and 2 are equal.
But <1 and < 2 are not equal . They are supplementary angles. Their sum is equal to 180 degrees.
Similarly angles 3 and4 are supplementary angles.
This situation does not support Ricky's claim. So you will select none in part A.
Now in part B we see that angle 5 &8 are equal and 6 & 7 are congruent.
This refutes Ricky's claims and this can be proved mathematically.
Angles 5 & 6 are supplementary angles. Similarly 7 & 8 are supplementary therefore they cannot be equal as they are unequal and a transversal is drawn not a perpendicular.