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Svetradugi [14.3K]
4 years ago
6

Can u please help me find the value of each variable?

Mathematics
1 answer:
jarptica [38.1K]4 years ago
3 0

The arc measure, which corresponds to the central angle measure, is always twice the subtended angle.

So 60 is twice a,

Answer: a=30

84 is twice b

Answer: b=42

60 + 100 is twice c,

Answer: c=80

d is what's left of the circle, total 360 degrees,

d = 360 - 84 - 60 - 100 = 116

Answer: d=116

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Given ΔABC, m∠A = 120°, b = 13 cm, and c= 15 cm. Find the triangle's area. Round to the nearest tenth.
zzz [600]
Refer to the diagram shown below.

m∠A = 120°
b = 13 cm
c = 15 cm

From the Law of Sines, the area of the triangle is
Area = (1/2)*b*c*sin(A)
         = 0.5*13*15*sin(120°)
         = 84.4375 cm²

Answer: 84.4 cm² (nearest tenth)

4 0
3 years ago
Use the Alternating Series Remainder Theorem to determine the smallest number of terms required to approximate the sum of the se
Law Incorporation [45]

Answer:

at N ≥ 6

Step-by-step explanation:

Error permissible = 0.001

The series = infinity  

at ( N + 1 ) ! > 1000  the inequality N ≥ 6 is valid and holds

attached below is the detailed solution using alternating series remainder

6 0
4 years ago
See attachment to help please. Trying to understand
Vaselesa [24]
It will be the last one since it is the one that makes more sense.
5 0
3 years ago
The quotient of a number and 9
Shalnov [3]

Answer:

The answer to this question would be

\frac{n}{9}

4 0
3 years ago
Kevin is 3 years older than Daniel. Two years ago, Kevin was 4 times as old as
Korvikt [17]

Answer:

k - 2 = 4d - 8

d + 1 = 4d - 8

Step-by-step explanation:

Daniel's age = d

Kevin's age = k

Given that, k = d + 3 -------------- (1)

Two years ago, the age of Daniel = d - 2

Two years ago, the age of Kevin = k - 2

Since,  two years ago, Kevin was 4 times as old as

Daniel, k - 2 = 4(d - 2)

Opening the bracket,

k - 2 = 4d - 8

Since the value of k is d + 3 (see (1))

d + 3 - 2 = 4d - 8

d + 1 = 4d - 8

(I am just giving the answer cause I LOVE Linear Equation )

1 + 8 = 4d - d

9 = 3d

9/3 = d

3 = d

Therefore, Daniel's present age is 3 and Kevin's present age = 6

Hope You understood

Thank You

Please mark me as brailiest                

                       

8 0
3 years ago
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