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Novosadov [1.4K]
3 years ago
6

Translate the statement into an equation: the difference of four times a number and eight is equal to twenty-three less than tha

t number
Mathematics
2 answers:
Lubov Fominskaja [6]3 years ago
7 0
X - a number

4x-8=x-23
neonofarm [45]3 years ago
6 0
Let, the number be "x"
Now,
according to the question,
4x -8 = x -23....................This is your equation.

Now solving it,
4x - 8 = x - 23
4x - x = -23 + 8
3x = -15
x = -15 / 3
x = -5

Checking the answer,
4 (-5) - 8 = (-5) - 23
-20 - 8 = -5 - 23
-28 = -28......................................true



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(Law of Sines)
Mariana [72]

Answer:

Option (D) is correct.

Step-by-step explanation:

In a triangle BCD , with b, c, d as the sides of triangle.

Sine rule states when we we divide side b by the sine of angle B then it is equal to side c divided by the sine of angle C and also equal to side d divided by the sine of angle D.

Using Sine rule,

\frac{b}{\sin B}=\frac{c}{\sin C}=\frac{d}{\sin D}

Consider the first and third ratio,

\frac{b}{\sin B}=\frac{d}{\sin D}

Substitute the values of d = 3 , b= 5 and ∠D=25°

\Rightarrow \frac{5}{\sin B}=\frac{3}{\sin 25^{\circ}}

\Rightarrow \sin B=\frac{\sin 25^{\circ} \times 5}{3}}  

 \Rightarrow \sin B=45,135

Thus, Measure of angle B is 45 and 135 as sinB is positive is first and 2nd quadrant.

Thus, option (D) is correct.


7 0
3 years ago
Read 2 more answers
Would someone just answer this now anyone?
brilliants [131]
Look up range in the calculator
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On Tuesday Katy ran a mile in 8.34 minutes. She ran another mile in 7.89 minutes on Wednesday. What is the total time for both m
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3 years ago
Lillian works 7hours each day for 5 days a week she earn £420 each week how much does she earn per hour
frosja888 [35]

Answer:

£12 per hour

Step-by-step explanation:

7 × 5 = 35 hours

35 h : 420

1 h : x

x = 420×1 / 35

= £12 per hour

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4 years ago
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