Answer:
Divide the central angle in radians by 2 and perform the sine function on it. Divide the chord length by double the result of step 1. This calculation gives you the radius. Multiply the radius by the central angle to get the arc length.
Angle ABC is an inscribed angle.
Inscribed angle = 1/2 * Intercepted Arc
The intercepted arc is arc CD + arc DA, which would be 128 + 76 = 204
m<ABC = 1/2(204)
m<ABC = 102 degreesYou answer is
D) 102
Answer: The answer is 13 ponds of each type should be used.
Step-by-step explanation: Given that the coffee counter charges $11.00 per pound for kenyan french roast coffee and $13.00 per pound for sumatra coffee. We are to find the quantity of each type that should be used to make a 26 pound blend that sells for $12.00 per pound.
Let 'x' pound and 'y' pound of kenyan french roast coffee and sumatra coffee be used in the mixture of 26 pound.
So, we have
Multiplying equation (A) by 11 and subtracting from equation (B), we have
and from equation (A),
Thus, 13 pounds of each type of coffee should be used.
Answer:
12/17
Step-by-step explanation:
total number of marbles that are purple (11) plus the total number of marbles that are not small (15) minus the number of marbles that are both purple and not small (2)
11 + 15 - 2 = 24
over the total number of marbles (34)
24/34 simplifies to 12/17
Step-by-step explanation:
<h3>Given:</h3>
<h3>To prove:
</h3>
<h3>Solution:</h3>
<u>CM⊥AB - given, therefore</u>
- ∠AMC = 90° and ∠BMC = 90°
<u>Then</u>
- Side CM is common, therefore is congruent to itself
<u>So we have congruent two angles and a side between them on triangles AMC and BMC:</u>
- △AMC ≅ △BMC as per ASA congruency theorem
