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3 years ago

Find the value of x.

Mathematics

1 answer:

AURORKA [14]3 years ago

7 0

Answer:

$x=129$ °

Step-by-step explanation:

A secant is a line that intersects a circle in two places. The secants interior angle theorem states that when two secants intersect a circle inside a circle, the measure of any one of the angles formed is equal to half of the sum of the two intersecting arcs. Therefore, one can apply this theorem here:

$x=\frac{204+54}{2}$

Simplify,

$x=\frac{204+54}{2}$

$x=\frac{258}{2}$

$x=129$

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Marty and Ethan both wrote a function, but in different ways.

NNADVOKAT [17]

Answer:

Marty's with a slope of 1/3

Step-by-step explanation:

The functions Marty and Ethan wrote are analyzed the find the slope of each of the function

The equation Marty wrote is presented here as follows;

$y + 3 = \dfrac{1}{3} \cdot\left (x + 9 \right)$

Marty's equation can be written in slope and intercept form, y = m·x + c, as follows;

$y = \dfrac{1}{3} \cdot\left (x + 9 \right) - 3$

$y = \dfrac{1}{3} \cdot x + \dfrac{9}{3} \right) - 3 = \dfrac{1}{3} \cdot x + 0$

$y = \dfrac{1}{3} \cdot x$

By comparison, the slope of the function, m = 1/3

$\therefore \ the \ slope \ of \ Marty's \ function, \ y + 3 = \dfrac{1}{3} \cdot\left (x + 9 \right), \ m =\dfrac{1}{3}$

Marty's function has a slope of m = 1/3

Ethan has the following two column table;

$\begin{array}{rl}x&y\\-4&9.2\\-2&9.6\\0&10\\2&10.4\end{array}$

The slope, m, of the data in the above table is given as follows;

$Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Taking any two points, (x₁, y₁) = (-4, 9.2), and (x₂, y₂) = (2, 10.4), we get;

$Slope, \, m =\dfrac{10.4-9.2}{2-(-4)} = \dfrac{1.2}{6} = \dfrac{1}{5}$

Ethan's function has a slope of m = 1/5

Therefore;

Marty's slope of 1/3 is larger, given that 1/3 > 1/5.

7 0

3 years ago

Helppp me in my TEST Dont have to put the steps Please try Idk this

vitfil [10]

Answer:

x = 11

z = 104

Step-by-step explanation:

opp angles are equal & sum of angles at apoint, will help next time.

5 0

3 years ago

Arleen has a gift card for a local lawn and garden store. She uses the gift card to rent a tiller for 4 days. It cost $35 per da

Mademuasel [1]

35 • 4 = 140 + 9 =149 for rent and rake
200 - 149 = 51 left on gift card. Yes she has enough to buy the wheelbarrow.

4 0

3 years ago

Read 2 more answers

You don't have to do all of them

vova2212 [387]

Answer: lol your using canvas

1. 63

2. D

3. B

4. A

Sorry for the bland explinations havin a bad day.

Step-by-step explanation:

1. The way we solve this is by adding the degrees 72 and 45. then we subtract it by 180. this is because in all triangles the angles always add up to 180 degrees.

2. Like question one what set of angles measures to 180 degrees.

3. The sides of a triangle should define the angle measurements. you can also see if its a triangle if the numbers are continues like 3,4,5 or in this case 4,5,6

4. like in questions 1 and 2 the angles of a triangle has to equal 180 degrees so 60 times 3 is 180 so each angle would have to be 60 degrees.

7 0

3 years ago

What are the minimum and maximum measurements of 21 inches.

kirza4 [7]

Answer:

Step-by-step explanation:

6 0

4 years ago