Answer:
3
Step-by-step explanation:
three
Answer:
-2
Step-by-step explanation:
8 (-2x + 1) = 30 - (-4 + 3x) Distribute
-16x + 8 = 30 + 4 - 3x Combine like terms
-16x + 8 = 34 - 3x Rearrange terms
-13x = 26 Divide by -13 on both sides
x = -2
Answer:
x = 4
Step-by-step explanation:
Given
- 3(2x + 7) = - 29 - 4x ← distribute parenthesis on left side
- 6x - 21 = - 29 - 4x ( add 4x to both sides )
- 2x - 21 = - 29 ( add 21 to both sides )
- 2x = - 8 ( divide both sides by - 2 )
x = 4 ← as required
Answer:
yes, triangle DEF is similar to triangle DBC, BC corresponds to EF, and angle DCB corresponds to angle F.
Step-by-step explanation:
Part A: Angle D is congruent to angle D by the reflexive property. Since line BC is parallel to line EF then angle DCB = angle DFE by corresponding angles. Hence triangle DEF is similar to triangle DBS by the AA Similarity Postulate.
Part B: BC corresponds to EF because they are in the same order and the triangles listed DEF and DBC
Part C: Angle DCB corresponds to angle F since they are corresponding angles with the two given parallel lines BC and EF.
we are given
A woman walks due east on the deck of a ship at 4 mi/h.
the ship is moving south at a speed of 24 mi/h
so, firstly, we will draw diagram
so, we have
now, we can use Pythagoras theorem
now, we can plug values
and we get
so,
the speed of the woman relative to the surface of the water is 24.33 mi/h .......Answer