C. Region D
Step-by-step explanation:
Just plug the equations into desmos the calculator will graph it and show you with colors where the solution is.
Answer:
If there's 10 cookies in the jar, and if 2 are peanut butter, the fraction for peanut butter cookies is 1/5, simplified.
Step-by-step explanation:
<u>Given:</u>
- 10 Cookies Total
- 3 are Oreo cookies
- 2 are peanut butter cookies
- 4 are chocolate chip cookies
- 1 is a sugar cookie
Bolded text represents what we'll be focusing on.
2 of the cookies are peanut butter, and there's 10 cookies total.
As a fraction, the peanut butter cookies are represented as:
2/10.
2/10 represents 2 peanut butter cookies out of 10 cookies altogether.
<u>Simplify:</u>
2/10 can be simplified by dividing both numerator and denominator by 2:
Quotient: 1/5.
1/5 is your answer.
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:
<CED + <ECD + <CDE = 180º
<CED = 180º - <ECD - <CDE
<CED = 180º - 43º - 35º
<CED = 102º
By the definition of vertical angles states that a pair of vertical angles are congruent.
This means <CED = <AEB
If <CED = 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>
<ACB = 1/2(100 - 42)
<ACB = 1/2(58)
<ACB = 29
answer is A. 29