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valentinak56 [21]
3 years ago
11

Equation practice with angle addition

Mathematics
1 answer:
Triss [41]3 years ago
6 0

Answer:

36 degrees

Step-by-step explanation:

since, m<AOB is a right angle, we shall just create an equation:

M<AOB+M<BOC=90 degrees

Substitute: 6z-12+3z+30=90

Solve: 6z+3x=9z

-12+30=18

so, 9z+18=90 degrees

           -18  -18

9z=72

z=8

So if z=8, then we should fit it so that it matches measure of AOB.

6z-12

6 times 8=48

48-12= 36

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Kara fence needs to reach at least 94 feet. How many fence post will she need ?
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Step-by-step explanation:

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Find all the missing elements:
pentagon [3]

Answer:

B = 34.2°

C = 58.2° or 121.8°

c= 10.6

Step-by-step explanation:

Step 1

Finding c

We calculate c using Pythagoras Theorem

c²= a² + b²

c = √a² + b²

a= 8, b = 7

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c = √64 + 49

c = √(113)

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Step 2

Find B

We solve this using Sine rule

a/sin A = b/sin B

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b = 7

Hence,

8/sin 40° = 7/sin B

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sin B = sin 40° × 7/8

B = arc sin (sin 40° × 7/8)

B ≈34.22465°

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Step 3

We find C

Find B

We solve this using Sine rule

b/sin B = c/sin C

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b = 7

c = 10.6

C = ?

Hence,

7/sin 34.2° = 10.6/sin C

7 × sin C = sin 34.2 × 10.6

sin C = sin 34.2° × 10.6/7

C = arc sin (sin 34.2° × 10.6/7)

C = arcsin(0.85)

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2 years ago
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Help please i only got 4 minutes​
Zinaida [17]

Answer:

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Step-by-step explanation:

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