Answer:
m∠A = 91°
Step-by-step explanation:
∠A ≅ ∠B (Vertical Angle Theorem). This means that the two angles will have the same measurements.
Note that a straight line = 180° (Definition of a Straight Line).
Find the value of m∠B.
180 - 47 - 42 = m∠B
m∠B = 180 - (89)
m∠B = 91°
Remember that ∠B & ∠A are vertical angles, so they will have the same measurement.
m∠A = 91°
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Get the distance between two acres.
2.5 - 2.4 = 0.1
Divide the diffence by 2
0.1 / 2 = 0.05 - Halfway between them.
Therefore, 0.05 must be taken from 2.5 acres. it must be added to 2.4 acres to get the exact area of the park.
2.5 - 0.05 = 2.45
2.4 + 0.04 = 2.45 acres
OR
Simply get the average of the two to get the area since it is exactly halfway between the two acres of land.
2.5 + 2.4 = 2.9 / 2 = 2.45 acres
Answer:
$12
Step-by-step explanation:
assuming that the cost of delivery is constant irrespective of the number ordered
Let the cost of sandwich be x
First office
$33=4x+c where c is the cost of delivery
Second office
$61=8x+c
These two are simultaneous equation. Subtracting the equation of first office from the second office we obtain
4x=28
Therefore, x=28/4=7
The cost of delivery is 33-(4*7)=33-28=5
Therefore, one sandwich plus delivery costs 7+5=$12
Answer:
Angle JML= 132( given)
Triangle JML= 180( Angle sum property)
2x+ 48= KML( Exterior angle property)
In triangle JML,
76 + ∠L+ ∠KML=180°
∠KML=∠L( angles opposite to equal sides are equal)
76+2(2x+48)=180°
2(2x+48)=104°
2x=104-48=64°
x= 32°
Step-by-step explanation:
Hope it helps : )
