Let <span>the town courthouse be the origin of coordinate plane, the positive direction of x-axis is west and negative direction is east, the positive direction of y-axis is north and negative direction is south. Then a lawyer home has coordinates (-2,3) and lawyer office has coordinates (5, -21).
</span>
Use the distance formula

to get the <span>distance between lawyer's home and office:
</span><span>
</span><span />


.
Answer: 25 miles.
Answer:
1 : 12 . . . . sketches : minutes
Step-by-step explanation:
We know 1 hour is 60 minutes, so the given numbers can be written as ...
5 sketches : 60 minutes
and reduced by dividing by 5 to get the ratio ...
sketches : minutes = 1 : 12
I know my picture stinks, but it is possible. If you make it into a triangle shape, but move the table a bit closer to the throwing wheel (as shown) it works out great. If you ever get a problem like his again, just think outside the box for different solutions.
Answer:
x = 40 in
Step-by-step explanation:
the missing angle in the triangle on the left is
180° - (74 + 51)° = 180° - 125° = 55°
the missing angle in the triangle on the right is
180° - (74 + 55)° = 180° - 129° = 51°
the 2 triangles have 3 pairs of congruent angles and are therefore congruent.
Corresponding sides and angles are then congruent
consider the corresponding sides opposite 74° , that is x and 40 in , so
x = 40 in
Answer:
Swimming can improve your health.
Step-by-step explanation:
Gerunds are nouns which derive from verbs and take the -ing form. In the sentence, the noun swimming functions as the subject of the verb can.
Gerunds are usually used as subjects of sentences, after certain verbs (such as enjoy and look forward to) and after prepositions.