Answer:
∠a = 10°
Step-by-step explanation:
The measure of ∠a = x
The measure of ∠b = 4x-30
It is also mentioned that the measure a and measure b are vertical angles. We need to find the value of a.
For vertically opposite angles,
∠a = ∠b
x = 4x-30
or
4x-30=x
Taking like terms together,
4x-x= 30
3x = 30
x = 10
So, the meausre of ∠a is equal to 10°.
Answer: 2/3
Step-by-step explanation:
14 is 2/3 of 21 so 2/3 cup per loaf
The answer is B.33, this is because the numbers are increasing by 2's. (+2,+4+,+6, ect.)
c^2 = a^2 + b^2 - 2(ab)(cos C)
c^2 + 2(ab)(cos C) = a^2 + b^2
2(ab)(cos C) = a^2 + b^2 - c^2
cos C = (a^2 + b^2 - c^2) / 2ab - Answer choice E
Hope this helps! :)
Answer:
38,660
Step-by-step explanation:
54 thousands 6 hundreds 12 tens – 15 thousands 8 hundreds 26 tens
54 thousands = 54000
6 hundreds = 600
12 ten = 12*10 = 120
54 thousands 6 hundreds 12 tens = 54000+600+120 = 54720
15 thousands = 15000
8 hundreds = 800
26 tens = 26*10 = 260
15 thousands 8 hundreds 26 tens = 15000+800+260 = 16060
Thus,
54 thousands 6 hundreds 12 tens – 15 thousands 8 hundreds 26 tens
= 54720- 16060 = 38,660 (Answer)
