Answer:
Using the Vertical Angle Theorem,
if two angles are vertical, then they are congruent
therefore, ∡4=∡5 and ∡6=∡7
since ∡4≅∡7
then ∡5 must also be ≅ to ∡6
Step-by-step explanation:
Answer:
The length of the actual bakery is 936 inches or 78 feet
Step-by-step explanation:
From the question we are told:
Janet measured a shopping center and made a scale drawing. The scale she used was 1 inch : 6 feet.
Let both the measurement of the shopping center and scale drawing be written in feet
1 foot = 12 inches
6 foot = x
Cross Multiply
x = 6 × 12 inches
x = 72 inches
Hence, the scale drawing =
Scale drawing : shopping center
1 inch = 72 inches
A bakery in the shopping center is 13 inches in the drawing. How long is the actual bakery?
This is calculated as:
1 inch = 72 inches
13 inches = x inches
Cross Multiply
x = 13 × 72 inches
x = 936 inches
The length of the shopping center = 936 inches
We convert back to feet
= 12 inches = 1foot
936 inches = x
Cross Multiply
12x = 936 × 1
x = 936/12
x = 78 feet
Therefore the length of the actual bakery is 936 inches or 78 feet
Answer:
Answer is (1): 2 times (x^2 -13)
Step-by-step explanation:
Using the FOIL method, you can conclude that (x-5)(x+5) is X^2 -5x +5x -25. Since the two middle terms cancel, you are left with X^2 -25. For the right side of the equation, (x-1)(x+1), using the FOIL method gets you x^2 -x +x -1. Once again, the -x and x cancel out and you end up with X^2 -1. To add both of these together, you can get rid of all parentheses and do the work. Two x^2 added together is 2X^2, and -25-1 is negative 26. After this, you end up with 2x^2 -26. To get to your final answer you need to take out the GCF of both terms, (the largest number that can go into 2x^2 and -26), which is 2. Taking the two out leaves us with 2(x^2 -13), which is your final answer. It looks like you were on the right track.
FOIL Property
Multiply first terms
Then Outside terms
Then inside terms
Then the last terms
Hope this helps!
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