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2 years ago

Find the value of x.

Mathematics

2 answers:

Elis [28]2 years ago

8 0

Answer:

C (86.113)

Step-by-step explanation:

First, find the missing angle B. Since angles in a triangle add upp to 180,

180-26-90= 64

Then use the formula a/sina = b/sinb

' a' in the formula is the missing length X and sina is the corresponding(opposite) angle of X which is sin64.

B in the formula would be 42 and sinb is sin26 (the angle).

Substitute all values into the formula,

X/sin64 = 42/ sin26

Shift sin64 to the right side:

X= 42(sin64)/ sin26

X= 86.113

Hope this makes sense:)

masya89 [10]2 years ago

3 0

Step-by-step explanation:

$\tan(26) = \frac{42}{x} \\0.487732588565 \times x = 42 \\ x = 86.11276134633$

C.x=86.113

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Find the value of x

-Dominant- [34]

Answer:

Step-by-step explanation:

we know that the sum of these two angles=180 degrees

5x/2 +125=180

5x/2=180-125=55

5x/2=55

5x=55*2

5x=110

x=110/5=22

x=22

4 0

3 years ago

The rectangle shown has a perimeter of 54 cm and the given area. Its length is 3 more than 3 times its width. Write and solve a

algol13

Answer:

Step-by-step explanation:

the perimeter P=2(L+W)=54

P=2L+2W=54 OR L+W=27

we know that L=3W+3

P=3W+W=27-3

4W=24

W=6 CM

L=21CM

5 0

3 years ago

8*23=25*45 Find which side is bigger

anastassius [24]

Answer:

25*45 is bigger

=1125

Step-by-step explanation:

184=1125

184<1125

7 0

2 years ago

Find the equation of the line that passes through (0, -3) and is parallel to

Tresset [83]

Hey there!

$\\$

Answer:

$\green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}$

$\\$

Explanation:

To find the equation of a line, we first have to determine its slope knowing that parallel lines have the same slope.

Let the line that we are trying to determine its equation be $\: \sf{d_1} \:$ and the line that is parallel to $\: \sf{d_1} \:$ be $\: \sf{d_2} \:$ .

$\sf{d_2} \:$ passes through the points (9 , 2) and (3 , -5) which means that we can find its slope using the slope formula:

$\sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{y_2} - \orange{y_1}}{\red{x_2} - \blue{x_1 }}}$

$\\$

⇒Subtitute the values :

$\sf{(\overbrace{\blue{9}}^{\blue{x_1}}\: , \: \overbrace{\orange{2}}^{\orange{y_1}}) \: \: and \: \: (\overbrace{\red{3}}^{\red{x_2}} \: , \: \overbrace{\green{-5}}^{\green{y_2}} )}$

$\implies \sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{-5} - \orange{2}}{\red{ \: \: 3} - \blue{9 }} = \dfrac{ - 7}{ - 6} = \boxed{ \bold{\dfrac{7}{6} }}}$

$\sf{\bold{The \: slope \: of \: both \: lines \: is \: \dfrac{7}{6}}}$ .

Assuming that we want to get the equation in Slope-Intercept Form, let's substitute m = 7/6:

Slope-Intercept Form:

$\sf{y = mx + b} \\ \sf{Where \: m \: is \: the \: slope \: of \: the \: line \: and \: b \: is \: the \: y-intercept.}$

$\implies \sf{y = \bold{\dfrac{7}{6}}x + b}$ $\\$

We know that the coordinates of the point (0 , -3) verify the equation since it is on the line $\: \sf{d_1} \:$ . Now, replace y with -3 and x with 0:

$\implies \sf{\overbrace{-3}^{y} = \dfrac{7}{8} \times \overbrace{0}^{x} + b} \\ \\ \implies \sf{-3 = 0 + b} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \sf{\boxed{\bold{b = -3}} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Therefore, the equation of the line $\: \bold{d_1} \:$ is $\green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}$

$\\$

▪️Learn more about finding the equation of a line that is parallel to another one here:

↣brainly.com/question/27497166

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1 year ago

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Fill in the table using the graph.

Makovka662 [10]

Find an x value and f(x) is just it's y value. we can start with x=0

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when x= 2 y= -2

and so on, choose easy to read numbers.

you can finish the rest, let me know if you wanna check your answers or if you are stuck.

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3 years ago

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