Answer:
x = 30
Step-by-step explanation:
Look at triangle LMN.
m<NLM + m<M + m<MNL = 180
90 + m<M + 45 = 180
m<M = 45
Theorem: The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
<ONM is an exterior angle of triangle KMN.
The remote interior angles are <K and <M.
m<K + m<M = m<ONM
2x + 45 = 105
2x = 60
x = 30
Answer: x = 30
Answer:
Check explanation
Step-by-step explanation:

17 ft, 8:20 , 39ft , 9:08
your welcome!
Answer:
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
0.27
Answer: ( d.)She is giving the students time to practice to promote their metacognition.
Step-by-step explanation:
Metacognition can be explained as one’s ability to use previous knowledge to plan a method for approaching a learning challenge, take adequate steps to solve the problem, look back on and evaluate gotten results, and modify one’s approach to the next challenge. It helps learners to be able to select the right cognitive tool for each task and plays a vital role in successful learning.
The teacher in the above question is only trying to improve her student's awareness of their own knowledge.
She is also building the students ability to think in order to solve future challenges they would face in mathematics.