(AAA) Corresponding angles are congruent.
Therefore, the sides of the triangles are proportional:
cross multiply
use distributive property
subtract 100 from both sides
divide both sides by 100
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(SAS)
If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.
Therefore we have the equation:
The perimeter of △PQR:
Substitute the value of y to the expression:
Lets say w is the width of the flower bed. We can make an equation to find the area.
The length of the of the flower bed is (w+5) and the width is w.
To find the area we need to multiply the length(w+5) by the width(w) and set it equal to 84,
(w+5)(w)=84
w^2 +5w=84
Using the quadratic equation you get the solutions of 7 and -12. Since 7 is positive it is our width. Our length is 7+5 or 12.
Answer:
(2.4, -1)
Step-by-step explanation:
Using midpoint formula plug in the info (x1+x2)/2, (y1+y2)/2
Answer: It will take 7 days to use the inventory of shipping labels.
Step-by-step explanation:
Given : Total boxes shipped by warehouse worker per day = 25
Every box contains 3 shipping labels.
Inventory has 500 shipping labels.
Then, the total number of boxes can be made = (Total shipping labels) ÷ (labels in each box)
500 ÷ 3 =166.67≈166
Number of days it will take to use the inventory of shipping labels= (total number of boxes can be made) ÷ (Total boxes shipped per day)
= 166÷ 25=6.64≈7
Hence, it will take 7 days to use the inventory of shipping labels.
