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2 years ago

Solve for xAn explanation would be helpful.

Mathematics

2 answers:

jonny [76]2 years ago

8 0

The angles are vertical angles. Vertical angles measure the same. That means:

$2 + 3x = 62$

Switch it around and it becomes:

$62 - 2 = 3x$

The sign changes. At first you were adding, and now you're subtracting. Subtract:

$62 - 2 = 60 \\ 3x = 60$

Divide both sides by 3 to leave the variable alone:

$60 \div 3 = 20 \\ 3x \div 3 = x$

That means x = 20°

Dima020 [189]2 years ago

4 0

The two angles are vertical angles so that means they must be equal to each other. Make them equal to each other in an equation.

(2 + 3x) = 62

Subtract 2 from both sides.

3x = 60

Divide both sides by 3.

x = 20

You might be interested in

For function of g,g(0)=1 and g(1)=5 assuming g is a linear function what is g(3)<br>

lawyer [7]

Answer:

$g(3) = 13$

Step-by-step explanation:

Given

$g(0) = 1$

$g(1) = 5$

Required

Find g(3)

Since g(x) is a linear function, then:

$g(x) = mx + c$

For: $g(0) = 1$

$g(x) = mx + c$

$g(0) = m*0 + c$

$1 = 0 + c$

$1 = c$

$c = 1$

For: $g(1) = 5$

$g(x) = mx + c$

$g(1) = m * 1 + c$

$5 = m * 1 + c$

$5 = m + c$

Substitute $c = 1$

$5 = m + 1$

$m = 5 - 1$

$m =4$

So, the function is:

$g(x) = mx + c$

$g(x) = 4x + 1$

Calculate g(3)

$g(3) = 4*3 + 1$

$g(3) = 12 + 1$

$g(3) = 13$

3 0

3 years ago

jane passes a signpost saying paris 8km how many miles is she from paris when she passes the signpost

-Dominant- [34]

Answer:

Step-by-step explanation:

3 0

3 years ago

Estefani‘s house is at point E (3,-2) and Jasmin’s house is at point J (-5,3). Jasmin’s house is the Mid-point of Estefani’s hou

iren [92.7K]

The formula for midpoint is

( $\frac{x_{1}+x_{2}}{2}$ , $\frac{y_{1}+y_{2}}{2}$ )

Look at the image below to see the line segment of Estefani's (A), Jasmin's (M), and Preston's (B) houses. Keep in mind that the segment shown below is not accurate in regards to how the line segment formed by Estefani's, Jasmin's, and Preston's houses. It is simply there so you can picture the segment better.

In this case:

$x_{1} =3\\x_{2} =unknown\\y_{1} =-2\\y_{2} =unknown$

^^^Plug in these number into the formula given above...

( $\frac{3+x}{2}$ , $\frac{-2 + y}{2}$ )

To find what x is (a coordinate of Preston's house) you must take the x-value part of the midpoint equation ( $\frac{3+x}{2}$ ) and set it equal to the x-value of the midpoint (-5). Then you must solve for x:

$\frac{3+x}{2}$ = -5

3 + x = -5 * 2

3 + x = -10

x = -10 - 3

x = -13

To find what y is (a coordinate of Preston's house) you must take the y-value part of the midpoint equation( $\frac{-2 + y}{2}$ ) and set it equal to the y-value of the midpoint (3). Then you must solve for y:

$\frac{-2 + y}{2}$ = 3

-2 + y = 3 * 2

-2 + y = 6

y = 6 + 2

y = 8

The coordinate of Preston's house is:

(-13, 8)

Hope this helped!

~Just a girl in love with Shawn Mendes