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°.
Given: cos A = 5/13 = adj side / hypotenuse
The the opp side is given by (hypo)^2 = (adj)^2 + (opp)^2. Here,
13^2 = 5^2 + (opp)^2, so that
(opp)^2 = 169 - 25 - 144. Then opp = +12. All of these lengths are in Q I.
opp 12
Then sin A = -------- = -------- (answer)
hyp 13
For this case we have the following definition:
tens place: number of two digits whose absolute value is greater than zero.
Then, we have the following rounding rule:
If the previous number is greater than or equal to five, the next number increases by one unit.
We then have the following numbers rounded to 30 when rounded to the nearest ten:
26: twenty-six
27: twenty-seven
Answer:
two different numbers that round to 30 when rounded to the nearest ten are:
26: twenty-six
27: twenty-seven
