A is not always true. Compare -10 and 3. Minus 10 is smaller than 3 even though -10 has a larger absolute value. Remember, integers include - minus numbers.
B is another way of saying what I just said for A
C is not always true. Use -3 and -10 The absolute values are 3 and 10. But -3 is larger than - 10. This is kind of sneaky. You have to try this for yourself a couple of times.
D. No! Another counterexample is 3 and 10. The absolute value of 3 and 10 is 3 and 10. These two are positive, and the example does not make D true. All you need is one exception to make something false.
Answer:
Angle D is equal to 80.
Step-by-step explanation:
We know that the sides are congruent and that angle ACB is congruent to angle ECD by the vertical angles theorem.
Triangles' angles always add up to 180.
180 - 70 - 30 = 80
angle D is equal to 80.
Answer:
x = 3
Step-by-step explanation:
Once again we want to use the relationship stated earlier
Where A * B = C * D
Once again imagine that the segments in the given problem have letters
A = x
B = 12
C = x + 1
D = 9
Now we create an equation using the relationship
12 * x = 9(x+1)
now we solve using basic algebra
step 1 distribute the 9 to the x and the 1
9 * x = 9x
9 * 1 = 9
now we have 12x = 9x + 9
step 2 subtract 9x from each side
12x - 9x = 3x
9x - 9x cancels out
now we have 3x = 9
step 3 divide each side by 3
3x/3=x
9/3=3
we're left with x = 3
Answer:
399 minutes a month
Step-by-step explanation:
As I understand the question the answer would, in other words, be how many minutes you can long-distance call with the economy plan for under $30.
The unit ratio is 5 cents per minute, which equates to 20 minutes worth of call time for one dollar (100/5).
The economy plan is $20 cheaper than the deluxe plan. $20 spent on long-distance calling gets you 400 mintues, but the question asks for an integer that would still leave remaining money.
Therefore the answer is 399 minutes of long-distance calling, which would leave five unspent cents.
