Answer:
t = - 24
Step-by-step explanation:
Given t varies inversely as a then the equation relating them is
t = ← k is the constant of variation
To find k use the condition t = 2 when a = - 4
2 = ( multiply both sides by - 4 )
- 8 = k
t = ← equation of variation
When a = , then
t = = - 24
Answer:
m∠QRT = 90°
m∠QRT = m∠SRT
Step-by-step explanation:
Triangle QST is isosceles with QT ≅ ST. In isoscels triangle QST, angles STR and RTQ are congruent.
RT is angle T bisector, so angles QTR and STR are congruent.
Consider two triangles QTR and STR. In these triangles:
By SAS postulate, these two triangles are congruent. Two congruent triangles have congruent corresponding sides, so
Angles QRT and SRT are supplementary (add up to 180°). Since these two angles are congruent, they have the same measure equal to
So, true options are
m∠QRT = 90°
m∠QRT = m∠SRT
Answer:
Let x represents the total weight of the parcel and f(x) represents the cost of the parcel,
Then, according to the question,
Any letter one ounce or less will need $0.46 in postage.
That is, For 0 < x ≤ 1, f(x) = 0.46
For each additional ounce over that, or any part of an ounce, the sender must add $0.20 more postage,
Also, the maximum weight = 16 ounces,
0.46 + 0.20 (x-1)= 16
⇒ 0.20 (x-1) = 15.54
⇒ x-1 = 77.7⇒ x = 78.7
Hence, the function that shows the cost of the letter having weight greater than 1 ounces is,
And, for 1 < x ≤ 78.7 f(x) = 0.46 + 0.20(x-1),
Thus, the complete function that shows the given situation is,
Thus, we get two line, y = 0.46 and y = 0.46 + 0.20(x-1),
Which are plotted in the below graph.
