I need help finding the value of x

Mathematics

1 answer:

elena-14-01-66 [18.8K]3 years ago

4 0

Answer:

x = 6

Step-by-step explanation:

From the figure attached,

∠AFB ≅ ∠EFC [Vertically opposite angles]

Since, ∠AFB and ∠EFC are the central angles subtended by arcs EC and AB.

Therefore, (21x - 9) = m(∠EFC)

(21x - 9) = m∠EFD + m∠CFD

(21x - 9) = 90° + 27°

21x = 9 + 117

21x = 126

x = 6

Therefore, x = 6 will be the answer.

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sineoko [7]

Answer:

The percentage of hatchbacks that run on gasoline: 78%

The percentage of diesel vehicles that are hatchbacks: 21 %

Step-by-step explanation:

The given table represents the following:

Hatchbacks that run on Gasoline = 18

Hatchbacks that run on Diesel = 5

Total number of hatchbacks = 23

Sedan that run on Gasoline = 15

Sedans that run on Diesel = 12

Total number of sedans = 27

SUVs that run on Gasoline = 3

SUVs that run on Diesel = 7

Total number of SUVs = 23

Total number of gasoline vehicles = 36

Total number of Diesel vehicles = 24

To find:

the percentage of hatchbacks that run on gasoline

the percentage of diesel vehicles that are hatchbacks

Solution:

$\text{Percentage of hatchbacks that run on gasoline = } \dfrac{\text{Number of hatchbacks on gasoline}}{\text{Total number of hatchbacks}}\times 100\\\Rightarrow \text{Percentage of hatchbacks that run on gasoline = } \dfrac{18}{23}\times 100 \approx 78\%$

$\text{Percentage of diesel vehicles that are hatchbacks = } \dfrac{\text{Number of hatchbacks that run on diesel}}{\text{Total number of diesel vehicles}}\times 100\\\Rightarrow \text{Percentage of diesel vehicles that are hatchbacks = } \dfrac{5}{24}\times 100 \approx 21\%$