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3 years ago

What is the value of x? Enter your answer in the box.

Mathematics

1 answer:

lubasha [3.4K]3 years ago

8 0

Notice that based on the diagram, all of the sides of the triangle are the same length. (The dashes on the sides of the triangle show that the sides are of congruence.) This means that the triangle is an equilateral triangle. An important thing to note about equilateral triangles is that they all have angles of 60°. All angles in equivalent triangles are 60°.

This means that we can set $7x - 3$ equal to 60 to solve for $x$ :

$7x - 3 = 60$

Set up

$7x = 63$

Add 3 to both sides

$x = 9$

Divide both sides by 7

Our answer is x = 9.

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Which table represents the graph of a logarithmic function in the form y=log3x when b>1?

alex41 [277]

Answer:

The satisfied table of the given function $y = log_{b} (x)$

x 1/8 1/4 1/2 1 2

y -3 -2 -1 0 1

Step-by-step explanation:

Explanation :-

Given logarithmic function $y = log_{b} (x)$ if b >1

Given first table

put x = $\frac{1}{8}$ given b > 1 so we can choose b = 2

$y = log_{2} (\frac{1}{8} )$

$y = log_{2} (2^{-3} )$

we will apply logarithmic formula

log x ⁿ = n log (x)

$y = log_{2} (2^{-3} ) = -3 log_{2} (2) = -3 (1) = -3$

y = -3

ii)

put x = $\frac{1}{4}$ given b > 1 so we can choose b = 2

$y = log_{2} (\frac{1}{4} )$

$y = log_{2} (2^{-2} )$

we will apply logarithmic formula

log x ⁿ = n log (x)

$y = log_{2} (2^{-2} ) = -2 log_{2} (2) = -2 (1) = -2$

y = -2

iii)

put x = $\frac{1}{2}$ given b > 1 so we can choose b = 2

$y = log_{2} (\frac{1}{2} )$

$y = log_{2} (2^{-1} )$

we will apply logarithmic formula

log x ⁿ = n log (x)

$y = log_{2} (2^{-1} ) = -1 log_{2} (2) = - (1) = -1$

y = -1

iv)

put x = 1 given b > 1 so we can choose b = 2

$y = log_{2} (1 )$ = 0

y = 0

v)

put x = $2$ given b > 1 so we can choose b = 2

$y = log_{2} (2 )$

y = 1

Final answer:-

The satisfied table of the given function

x 1/8 1/4 1/2 1 2

y -3 -2 -1 0 1

8 0

3 years ago

Read 2 more answers

Calculate the length of the circumference of a circle with diameter of 10.4

Kitty [74]

To work out the Circumference of a circle, we must o the calculation
πd
π x d
If we fill in the information we know
π x 10.4
3.14 x 10.4 (to 2 d.p.)
↓
32.656 (units)

7 0

2 years ago

Read 2 more answers

Please help!!...............................

Airida [17]

B. you have to be ready to multiply all the numbers to get your answer.

3 0

3 years ago

Complete the proof of the Chinese remainder theorem by showing that the simultaneous solution of a system of linear congruences

Semenov [28]

Answer:

Sorry I don`t know this

Step-by-step explanation:

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3 years ago

What is the sum of the first 11 terms of the arithmetic series in which a1= -12 and d=5?

SVEN [57.7K]

Hello :
the terme general is : an = a1 +(n-1)d
a11 = a1+(11-1)×5
a11 = -12+50
a11 = 38
the sum of the first 11 terms is : S11 = (11/2)(a1+a11)
S11 = (11/2)(-12+38)
S11 = 143

3 0

3 years ago