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3 years ago

The two lines below intersect as shown What is the value of x?

Mathematics

1 answer:

Rufina [12.5K]3 years ago

6 0

Answer:

x = 6

Step-by-step explanation:

because we know the lines intersect we also know the 2 angles are vertical meaning they are equal to each other

Knowing the angles are equal to each other you can make the equation

2x + 29 = 9x - 13

then you solve for x in this equation

2x + 29 = 9x - 13

(subtract 2x from both sides)

29 = 7x - 13

(add 13 to both sides)

42 = 7x

(divide by 7 on both sides)

6 = x

x = 6

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If 3 to the power y = x then y = ?

Oksanka [162]

Answer:

$y=\log_3(x)$

Step-by-step explanation:

$3^y=x$

$\ln(3^y)=\ln(x)$

$y\ln(3)=\ln(x)$

$y=\frac{\displaystyle\ln(x)}{\displaystyle\ln(3)}$

but if

$f(x)=\frac{\displaystyle\ln(x)}{\displaystyle\ln(3)}$

then since

$f(3)=\frac{\displaystyle\ln(3)}{\displaystyle\ln(3)}=1$

$f(x)=\log_3(x)$

$y=\log_3(x)$

$3^y=x$

$\log_3(3^y)=\log_3(x)$

$y\log_3(3)=\log_3(x)$

$\text{but }\,\log_3(3)=1, \text{so,}$

$y=\log_3(x)$

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3 years ago

The proof that HG ≅ EG is shown.

MariettaO [177]

ASA is the answer ghhh

3 0

3 years ago

Read 2 more answers

Please help. no links

olga nikolaevna [1]

Answer:

144

Step-by-step explanation:

20×12=240

add 4 to 20 and 12

makes a new rectangle 24×16

24×16=384

384-240=144

7 0

3 years ago

What is logo e' rewritten using the power property?

Vikki [24]

Answer: flog6e

Step-by-step explanation:
The power property of logarithm rule is :

Logamn = nlogaM

Applying the logarithm of power rule in the given expression we have:

Log6eF= flog6e

The second option that is flog6e is the right option among all the given options.

3 0

2 years ago

A farmer finds there is a linear relationship between the number of bean stalks, n, she plants and the yield, y, each plant prod

-Dominant- [34]

Answer:

Step-by-step explanation:

Given that a farmer finds there is a linear relationship between the number of bean stalks, n, she plants and the yield, y, each plant produces

When we consider this graph as a straight line, the two points lying on the line would be

(30, 30) and (34, 28) taking n as horizontal and y vertical

Using two point equation we find that

the equation of the line is

$\frac{y-y_1}{y_2-y_1} =\frac{x-x_1}{x_2-x_1}$

Substitute the points as x =n

$\frac{y-30}{28-30} =\frac{x-30}{34-30}\\y-30 = -0.5(x-30)\\y = -0.5x+45$

is the linear relationship between n and y

7 0

3 years ago