9514 1404 393
Answer:
132°
Step-by-step explanation:
Name the vertex of each angle the same as the angle letter. Name the intersection of the "horizontal" and "vertical lines" point Q.
Angle ZXQ is vertical to ∠x, so is the same measure.
Angle YQX is the value that makes the sum of angles in triangle XYQ be 180°. That is ...
∠YQX = 180° -51° -57° = 72°
This is also the measure of its vertical angle in the other triangle. Angle z is the sum of that vertical angle and 60°, so we have ...
∠z = 72° +60°
∠z = 132°
_____
<em>Additional comment</em>
The relations we used are ...
- vertical angles are congruent
- sum of angles in a triangle is 180°
- an exterior angle is equal to the sum of the remote interior angles
Answer:
Step-by-step explanation:
4x+8 27
L-------------M-------------------------N
<------------------ 6x -------------------->
LM = 4x+8
MN = 27
LN = 6x
LM + MN = LN
4x+8 + 27 = 6x
35 = 2x
17.5 = x
LN = 6x = 6(17.5) = 105
Answer: Salid should get $38.75 of change.
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
- <em>Quantity of window trim bought: 35 feet
</em>
- <em>Cost per feet: $1.75
</em>
- <em>Amount paid: $100
</em>
First, we have to calculate the total cost, by multiplying the Quantity of window trim bought (35) by the price per feet (1.75)
35 x 1.75 = $61.75
Finally, to calculate the change that Salid should get, we have to subtract the total cost (61.75) to the amount paid (100)
100-61.75=$38.75
