What’s the value of x? :/

Answer:

[tex] x = 27 [/tex]

Step-by-step explanation:

According to congruent chords and arcs theorem, if [tex] \overline{XY} \cong \overline{ZY} [/tex] then [tex] \arc{XY} \cong \arc{ZY} [/tex].

This means that [tex] \arc{XY} = \arc{ZY} = (6x - 20) degrees [/tex]

Thus:

[tex] \arc{XY} + \arc{ZY} + \arc{ZX} = 360 [/tex] (full circle = 360°)

[tex] \arc{XY} = (6x - 20) [/tex]

[tex] \arc{ZY} = (6x - 20) [/tex]

[tex] \arc{ZX} = 76 [/tex]

Plug in the values into the equation

[tex] (6x - 20) + (6x - 20) + 76 = 360 [/tex]

[tex] 6x - 20 + 6x - 20 + 76 = 360 [/tex]

Add like terms

[tex] 12x + 36 = 360 [/tex]

Subtract 36 on both sides

[tex] 12x = 360 - 36 [/tex]

[tex] 12x = 324 [/tex]

Divide both sides by 12

[tex] x = 27 [/tex]

a cube has edge length 3 in. What is its volume

25 points





What is an equation of a line, in point-slope form, that passes through (1, -7) and has a slope of-?
O y+7 +1)
Oy-7=-(+1)
O y+7=--1)
oy-7=-1)

Simplify.
16wxy
72xy

Mark can type 20 words per minute. Carol can type 22 words per minute. Mark starts typing at 1:00 pm and Carol starts typing 6 minutes later. At 1:15 pm, both Mark and Carol stop typing. Together, how many words did Mark and Carol type between 1:00 and 1:15 pm?

Yuri drew triangle ABC then reflected it over line m to create triangle WXY.
Yuri concludes that the triangles are congruent. Which is a correct validation for this conclusion?
When the triangle was reflected, the height of the resulting triangle is parallel to the height of the original triangle.
When the triangle was reflected, the base of the resulting triangle lies on the same line as the base of the original triangle.
When the triangle was reflected, the corresponding sides and angle measures of the resulting triangle are the same as the original triangle.
When the triangle was reflected, the corresponding sides of the resulting triangle have slopes that are opposite to the slopes of the original triangle.

Select the expression that represents the operations shown on the number line.
A 4n - n - 7n

B 8n - 2n - 14n

C 2n- în - 3žn
D 16 - 4n - 28n

2x – 3y = -5
y = 2 + x
The value of y in the system of equations is:
y = -1.
y = -3.
y = 1.
y = 3

The owner of 12 book stores is buying 32 copy's of a book for each of his stores. How many books will he buy in all?

Deborah spent $70 on food and clothes she spent $26 more on clothes then on food Brighton solve a system of equations to find how much Debra spent on each

Use the figure below to find the length of the midsegment.
68
54
4x + 6
68
54
4x + 44

9(2n+1) =
can someone help me, please

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a) What are the coordinates of A?
b) What are the coordinates of B?

Simplify the following. -(3z)2​

WILL MARK BRAINLEST


Examine the algebra tiles.


Which equation is being modeled?


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–3x + (–3) = 4x + 5

4x + (–3) = 5x + 4

–3x + 4 = 5x + 4

In a girl's bank, there is a collection of nickels, dimes, and quarters which amounts to $9.50. There are four times as many quarters as nickels, and 3 more dimes than nickels. How many coins of each kind are there?​

Use the coordinate grid to determine the coordinates of point A:





What are the coordinates of point A?


A ( fraction negative 1 and 1 over 4, fraction 3 over 4)

B ( fraction 1 and 1 over 4, fraction negative 3 over 4)

C( fraction negative 3 over 4, fraction 1 and 1 over 4)

D( fraction 3 over 4, fraction negative 1 and 1 over 4)

monke good? yes yes yes

Ahmed is saving up his money to buy a iPad that costs $319.50. Right now he has $21.95, and can save $63.00 each week. How many weeks will it take for Ahmed to have enough money to buy the iPad?

rewrite using a single positive exponent 5^6/5^4

Suppose the national average dollar amount for an automobile insurance claim is $758.83. You work for an agency in Michigan and you are interested in whether or not the state average is less than the national average. The hypotheses for this scenario are as follows. Null Hypothesis: μ ≥ 758.83, Alternative Hypothesis: μ < 758.83. You take a random sample of claims and calculate a p-value of 0.0349 based on the data, what is the appropriate conclusion? Conclude at the 5% level of significance.
A. The true average claim amount is significantly higher than $758.83.
B. The true average claim amount is higher than or equal to $758.83.
C. We did not find enough evidence to say the true average claim amount is less than $758.83.
D. The true average claim amount is significantly different from $758.83.
E. The true average claim amount is significantly less than $758.83.

Help me it’s 20 points

what 1+1







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Exercice1
1. Montrer que 5 et-3 sont des diviseurs de -15.
2. Montrer que pour tout entier naturel n, l'entier naturel n + 1 est un diviseur de l'entier n? - 1.
Exercice2
Pour tout entier relatif p, N = 2p? +4p-16 est-il un entier pair?
Exercice3
Sur le site touristique de Carnac, trois parcours en train sont proposés : circuit
court de 12 min en train vert, circuit standard de 21 min en train bleu, circuit long de
42 minutes en train rouge. Le départ se fait simultanément à 14 h. Une famille nom-
breuse ne réussit pas à trouver de la place ensemble et décide d'attendre la prochaine
occasion de prendre un train au choix.
Aquelle heure faut-il revenir au plus tôt pour avoir à nouveau le choix des trois trains ?
Svp aidez moi !

1. Line K is represented by the equation y =- 2/3x +4. Line Lis perpendicular to line K and
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Dad gave his son 60 euros to buy wallpaper. In the store, it turned out that the price for one roll wallpaper increased by 3 euros, and because of this, the son was able to buy 1 roll of wallpaper less than he needed. How many rolls of wallpaper could he buy and how much did one roll cost? Did he do the right thing to buy the wallpaper?​

) Buyers are charged a shipping fee of $4.75 for each scarf order.
Which expression can you use to find the total price of a scarf order?

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what are the root functions?