m∠a = 56°, m∠b = 34°, m∠c = 56°
Solution:
<em>Sum of the adjacent angles in a straight line is 180°.</em>
⇒ m∠a + 124° = 180°
⇒ m∠a = 180° – 124°
⇒ m∠a = 56°
∠a and ∠c are vertically opposite angles.
Vertical angle theorem:
<em>If two lines are intersecting, then the vertically opposite angles are congruent.</em>
⇒ ∠a ≅ ∠c
⇒ m∠a = m∠c
⇒ m∠c = 56°
<em>Sum of the adjacent angles in a straight line is 180°.</em>
m∠b + 90° + m∠c = 180°
m∠b + 90° + 56° = 180°
m∠b + 146° = 180°
m∠b = 180° – 146°
m∠b = 34°
Hence m∠a = 56°, m∠b = 34°, m∠c = 56°.
Answer:
Both
1 ≥ 2x
and
6x ≥ 3 + 8x – 4
Step-by-step explanation:
Correct representations are representations which are equivalent and represent the exact same relationship. To find these, you can simplify the inequality.
6x ≥ 3 + 4(2x – 1)
6x ≥ 3 + 8x - 4
6x ≥ 8x - 1
-2x ≥ -1
2x ≤ 1
x ≤ 1/2
Answer:
Here is your answer.
Step-by-step explanation:
Sum: -10
Expression:
X = 2
m = -5
(multiplying X and M)
XM = -10 (X times M = -10) (-10 = negative 10)
LM is equal to 7.
In order to find this, we need to first set LM and MN equal to each other since M is the midpoint of LN.
LM = MN
3x - 2 = 2x + 1
x - 2 = 1
x = 3
Now that we know x = 3 we can find the value of LM by plugging in to the problem.
LM = 3x - 2
LM = 3(3) - 2
LM = 9 - 2
LM = 7
5m-14/(m+1)(m-1)
excluded values: 1,-1
