Answer:
11
Step-by-step explanation:
See Work Below
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All you need to know is that:
- In the first quadrant, both coordinates are positive
- In the second quadrant, x is negative and y is positive
- In the third quadrant, both coordinates are negative
- In the fourth quadrant, x is positive and y is negative
- The sine is the y coordinate of the points on the unit circle
- The cosine is the x coordinate of the points on the unit circle
- The cotangent function is defined as the ration between the cosine and the sine of an angle.
So, if sin theta is negative and cot theta is positive, you're saying that you're looking at a point with negative y coordinate and such that
The ratio of two numbers is positive if and only if they have the same sign, so the cosine must by negative as well.
Saying that an angle has negative sine and cosine is the same as saying that the angle identifies a point on the unit circle where both x and y coordinates are negative.
So, if you look at the bullet list at the beginning, you'll see that the point is in the third quadrant.
The definition of the interior angles of a triangle states that
interior angles of a triangle add up to 180º.
This means we can find the measure of <CED:
<C
ED + <E
CD + <C
DE = 180º
<C
ED = 180º - <E
CD - <C
DE
<C
ED = 180º - 43º - 35º
<CED = 102º
By the definition of vertical angles states that a pair of vertical angles are congruent.
This means <C
ED = <A
EB
If <C
ED = 102º
Then
<AEB = 102º
By definition of the interior angles of triangles:
<AEB + <EBA + <BAE = 180º
<AEB = 102º
<EBA = 18º
102º + 18º + <BAE(<A) = 180º
<BAE = 180º - 102º - 18º
<BAE = 60º
<BAE is another way to say <A
<span>
m∠A = 60º</span>
Answer:
The correct answer is +45; -18; -7.
Step-by-step explanation:
Parvana records the transactions for her bank account for the week .
On Monday, Parvana deposited $45. Thus Parvana made an addition of $45 in her account. Therefore a +45 integer is used to represent this transaction into her account.
On Tuesday she used her debit card to $18 for a new shirt. Thus Parvana made a deduction of $18 from her account. Therefore a -18 integer is used to represent this transaction into her account.
On Thursday she withdrew $7 from an ATM. Thus Parvana made a deduction of $7 from her account. Therefore a -7 integer is used to represent this transaction into her account.
Thus the integers +45; -18 and -7 are used to represent transactions in Parwana's account.
