Answer:
(-4, 14.4)
Step-by-step explanation:
The midpoint formula is expressed as;
M(X, Y) = {(ax1+bx2/a+b), ay1+by2/a+b}
Get X;
X = ax1+bx2/a+b
X = -13(2)+ 2(3)/2+3
X = -26+6/5
X = -20/5
X = -4
Get Y:
Y =ay1+by2/a+b
Y = 2(6)+3(20)/2+3
Y = 12+60/5
Y = 72/5
Y = 14.4
Hence the coordinate of point P dividing A and B in the ratio 2 to 3 is
(-4, 14.4)
Answer:
0.000065 m
Step-by-step explanation:
6.5 ×
= 
Hope this helps
Answer:
128
Step-by-step explanation:
The two angles form a straight line so they add to 180
2m+62 + 3m +143 = 180
Combine like terms
5m+205=180
Subtract 205 from each side
5m+205-205=180-205
5m = -25
Divide by 5
5m/5 = -25/5
m = -5
We want to find the angle so we substitute the value of m into the the formula for the angle.
< RBM =3m +143 = 3(-5) +143 = -15+143 =128
Answer: 5
Step-by-step explanation:20 times .25
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°
