Answer:
Step-by-step explanation:
5. a) ∠1 and ∠2 are remote interior angles of ∠ACD so that means that ∠ACD = ∠1 + ∠2
b) Because an exterior angle is the sum of its two remote interior angles it makes sense that an exterior angle is greater in measure than either of its remote interior angles.
6. BD = DB Reflexive property
∠3 = ∠5, ∠4 = ∠6 Alt. int. angles
ΔADB = ΔCDB ASA
7. AB = BC Def. of midpoint
∠1 = ∠2 Given
∠BAE = ∠CBD Corresponding angles
ΔBAE = ΔCBD ASA
∠D = ∠E CPCTC
(A) For x representing the cost of one of Tanya's items, her total purchase cost 5x. The cost of one of Tony's items is then (x-1.75) and the total of Tony's purchase is 6(x-1.75). The problem statement tells us these are equal values. Your equation is ...
... 5x = 6(x -1.75)
(B) Subtract 5x, simplify and add the opposite of the constant.
... 5x -5x = 6x -6·1.75 -5x
... 0 = x -10.50
... 10.50 = x
(C) 5x = 5·10.50 = 52.50
... 6(x -1.75) = 6·8.75 = 52.50 . . . . . the two purchases are the same value
(D) The individual cost of Tanya's iterms was $10.50. The individual cost of Tony's items was $8.75.
Answer:
1 + and a half = 1 in a half
Step-by-step explanation:
The numerator in the first fraction is closest to
10, so the fraction is nearest to 1.
The numerator in the second fraction is closest to 3, so the fraction is nearest to one-half.
The value of the expression can be estimated as 1 + one-half = 1 and one-half.
Answer:
a) yes
b) 2560
Step-by-step explanation:
An exponential function has a common ratio between points uniformly spaced. Here, the data points are 10 years apart.
The ratio of the first two values is 4000/5000 = 0.8.
The ratio of the next two values is 3200/4000 = 0.8.
These ratios are the same, so the data is consistent with an exponential function.
The common ratio can be used to predict the next value. The next value is predicted to be ...
3200 × 0.8 = 2560
3.691 rounded by the nearest tenth is 3.7
