Answer:
x=27°
Step-by-step explanation:
we know that
<u><em>The Triangle Exterior Angle Theorem</em></u>, states that: An exterior angle of a triangle is equal to the sum of the opposite interior angles
step 1
Find the measure of angle PLM
we know that
m∠PLM+m∠LPM=m∠PMN ----> by Triangle Exterior Angle Theorem
we have
m∠LPM=x°
m∠PMN=2x+72°
substitute
m∠PLM+x=2x+72°
m∠PLM=2x-x+72°
m∠PLM=x+72°
step 2
Find the measure of angle x
we know that
3x+m∠PLM=180° ----> by supplementary angles (form a linear pair)
we have
m∠PLM=x+72° (see step 1)
substitute
3x+x+72°=180°
4x=180°-72°
4x=108°
x=27°
Answer:
52 R17
Step-by-step explanation:
52 * 36 = 1872
1889 - 1872 = 17
--> 52 R17
Answer:
9
Step-by-step explanation:
If you add them all together and divide by how many numbers there are, you will get the answer.
Answer:
-3/4 p^11
Step-by-step explanation:
9/16p^7 ⋅ (-4/3p^4)
Multiply the numbers together
9/16 * -4/3 = -3/4
Now multiply the variables
p^7 * p^4
We know that a^b* a^c = a^(b+c)
p^(7+4) = p^11
Putting these back together
-3/4 p^11
Answer:
4 goals per hour.
Step-by-step explanation:
12 goals divided by 3 goals. Is 4 goals per hour.
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