what is the value of X, Z, and Y.​

What Is The Value Of X, Z, And Y.

Answers

Answer 1

Answer:

x= -64°, y= -63°, z=-57°

Step-by-step explanation:

→Solution,

Here,

60°=(-y-3)°[The opposite sides of a parallelogram are equal]

⇒y= -60°-3°

⇒y= -63°

⇒60°+(-2x-8)°=180°[Sum of co-interior angles is 180°]

⇒52°-2x=180°

⇒52°-180°=2x

⇒x= -128°/2

⇒x= -64°

⇒60°+(-2z+6)°=180°[Sum of co-interior angles is 180°]

⇒66°-2z=180°

⇒66°-180°=2z

⇒z= -114°/2

⇒z= -57°


Related Questions

A broken scale shows a false weight that is always higher than the actual weight by
the same number of grams. When a mobile phone is put on the scale, it shows 202
grams. When an headphone is put on the scale, it shows 221 grams. When the mobile
phone and the headphone are put on the scale together, it shows 415 grams. What is
the actual weight of the mobile phone in grams?

Answers

The actual weight of the mobile in grams is 194 grams.

What is Equation?

In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

As broken scale shows a false weight that is always higher than the actual weight by the same number of grams.

When a mobile phone is put on the scale, the real weight will be  'x'

but it shows,

x+a= 202

When an headphone is put on the scale, the real weight will be  'y'

but it shows,

y+a=221

When the mobile phone and the headphone are put on the scale together, the weight is

x+y+a= 415

So,

x+221=415   [Since y+a= 221 grams]

x= 194 grams

The actual weight of the mobile phone in grams is 194 grams.

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A class of 28 students has 13 boys and 15 girls. what is the ratio of boys to girls in the class?

Answers

28-13=15 so it would be 2

conjunction and disconjuction​

Answers

Step-by-step explanation:

When two statements are connected with an 'and,' you have a conjunction.

For conjunctions, both statements must be true for the compound statement to be true.

When the connector between two statements is "or," you have a disjunction. In this case, only one statement in the compound statement needs to be true for the entire compound statement to be true.

Which of the following is a true statement?
6/16 > 7/24
3/5 <5/16
6/16 > 4/10
4/8 < 5/16

Answers

The fractional expression 18/48 is greater than 14/48 or 6/16 is greater than 7/24. Then the correct option is A.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The expressions are 6/16 and 7/24.

Then the LCM of the 16 and 24 will be 48.

Then the expressions will be 18/48 and 14/48.

The fractional expression 18/48 is greater than 14/48 or 6/16 is greater than 7/24.

Thus, the correct option is A.

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(1) the fear of genetically modified foods is not based in facts. (2) the food and drug administration holds genetically modified foods to the same standard as traditional foods, which means that these new products are equally as safe as products that are already on grocery shelves. (3) in addition, common fruits, including nectarines and seedless grapes, are a result of genetic breeding. what would be the best way of revising the second sentence for a presentation?

Answers

In order to revise the second sentence for a presentation, the best thing to do would be to break it up into two sentences.

How can we revise the second sentence?

The second sentence is quite long and so would not be the best fit for a presentation.

We can solve this by breaking it into two sentences such as:

The Food and Drug Administration holds genetically modified foods to the same standard as traditional foods. This means that these new products are equally as safe as products that are already on grocery shelves.

This makes the presentation more readable and ensures that the information is better passed on.

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Answer:

B - Breaking into two sentences

Step-by-step explanation:

Edge 2023

volume of hemisphere whos area is 12.5 ft squared

Answers

Answer:

radius r = 1.41047396 m

base circumference C = 8.86226925 m

volume V = 5.87697483 m^3

curved surface area A = 12.5 m^2

base surface area B = 6.25 m^2

total surface area K = 18.75 m^2

In Terms of Pi π

base circumference C = 2.82094792 π m

volume V = 1.87069919 π m3

curved surface area A = 3.97887358 π m^2

base surface area B = 1.98943679 π m^2

total surface area K = 5.96831037 π m

Step-by-step explanation:

r = radiusC = base circumferenceV = volumeA = curved surface areaB = base surface areaK = total surface areaπ = pi = 3.1415926535898√ = square root

Hemisphere Formulas in terms of radius r:Volume of a hemisphere:

V = (2/3)πr^3

Circumference of the base of a hemisphere:

C = 2πr

Curved surface area of a hemisphere (1 side, external only):

A = 2πr^2

Calculate the base surface area of a hemisphere (a circle):

B = πr^2

Total surface area of a hemisphere:

K = (2πr^2) + (πr^2) = 3πr^2

Answer:

Approximately 6.4 ft³

Step-by-step explanation:

A *hemisphere* is half of a sphere. As far as surface area goes, we not only need to account for the curved area, but also the area of the circular disc at the bottom. The area of the curved region is going to be half the area of the whole sphere. Since a sphere with radius r has a surface area of 4πr², the curved part of the hemisphere must have half that, or 2πr². Add in the area of the circular disc, πr², and we have a total area of 3πr². Setting this equal to the given area of 12.5 ft², we can solve for r:

[tex]3\pi r^2=12.5\\r^2=12.5/3\pi\\\\r=\sqrt{12.5/3\pi}[/tex]

Now, using the formula for the volume of a sphere, [tex]V=(4/3)\pi r^3[/tex], we can substitute our new value for r and solve:

[tex]V=(4/3)\pi r^3\\=(4/3)\pi(\sqrt{12.5/3\pi})^3\\\approx 6.4[/tex]

HELP!!! Simplify the expression.

3√25t²

Answers

Answer:

15t

Step-by-step explanation:

if you do the sqrt of 25 you get five than multiply that by 3 to get 15 then do the sqrt of t to get t

Hope this helps! ;-)

Given the range (1, 1), (4, 2), (2, -1), with a coordinate transformation of f(x, y) = (x+2, y-3), what is the domain?


(-1, 4), (2, 5), (0, 2)

(-2, 3), (1, 4), (-1, 1)

(1, 1), (2, 4), (2, -1)

(3, 2), (12, 4), (-12, 2)

Answers

Answer:

A.

Step-by-step explanation:

I believe it is A. because there are the numbers that equal all together to get that domain.

What is the surface area of this rectangular pyramid?
5 mm
4 mm
4 mm
___ square millimeters

Answers

I’m guessing 59.08 …
The surface area is 56mm^2

treatment definition

Answers

Answer: Heyaa!

If you mean medicine treatment the definition is...

The management and care of a patient to combat disease or disorder.

If you mean just basic treatment the definition is...

The manner in which someone behaves toward or deals with someone or something.

Hopefully this helps you:

- Matthew


will mark brainliest to whoever gets it right

Answers

Answer:

x = 74 degrees

Answer:

74 degrees

Step-by-step explanation:

Remember that CO interior angles equal to 180 degrees so what you need to simply do is do 180 minus 106 degrees giving you 74 degrees as your answer

Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero. Which statement must be true?
The pool must have been empty for the entire interval.
The pool must have been the same depth at the start of the interval as it was at the end of the interval.
The pool must have been deeper at the end of the interval than it was at the start of the interval.
The pool must have been more shallow at the end of the interval than it was at the start of the interval.

Answers

The correct answer is option B which is the pool must have been the same depth at the start of the interval as it was at the end of the interval.

What is the rate of change?

The rate of change is defined as the changes that occur in any data with respect to time like changing of level of water respect to time. Changing of the position of any object with respect to time that is speed.

Here in the question, it is given that Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero. The meaning of this statement is that the level of the water in the pool is the same as that of the level two weeks ago.

Therefore the correct answer is option B which is the pool must have been the same depth at the start of the interval as it was at the end of the interval.

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Mr. Plati's class has 3 1/2 quarts of paint. They use 2/3 of the paint for the mural.
How many quarts of paint did the class use for the mural?

Answers

Answer:

2.32

Step-by-step explanation:


. What is the area of this polygon?
10 m
9 m
8 m
15 m

Answers

Answer:10 squared plus 9 squared equals 15 squared

Step-by-step explanation:

take the square root of your answer

You need new shoes for work which cost $70. You earn $400 net income each week, but have expenses totaling $380 each week. If you set aside the difference between your weekly income and expenses, how many weeks will it take you to save enough to buy the shoes?

Answers

Net income=400Expenses=380

Amount earned per week=400-380=$20

Price of one shoe=70$

Total weeks

70/203.5

Minimum 4 weeks

Answer:

4 weeks

Step-by-step explanation:

Given:

$400 = weekly net income$380 = weekly expenses

Therefore,

Weekly surplus = weekly net income - weekly expenses

                          = $400 - $380

                          = $20

Given:

Cost of new shoes = $70Weekly surplus = $20

Number of weeks = cost of new shoes ÷ weekly surplus

                              = $70 ÷ $20

                              = 3.5

                              = 4 weeks (rounded to nearest week)

Therefore, it will take 4 weeks to save enough to buy the shoes.

PLEASE HELP ME! I WILL MARK THE BRAINLEIST

Answers

Answer:

Part B:3/6 should be your answer answer:)!

Part C:The side length is 4 feet 6 inches, it is a rational number because both numbers can be showed as a fraction.

Step-by-step explanation:

Cacular m<) ABC
Ayuda

Answers

Answer:

m∡ABC=140º

Step-by-step explanation:

Find the value of x. Enter only your numerical value for x

Answers

Answer:

x = 3

Step-by-step explanation:

Equating the secants :

10 (10 + 5x + 2) = 9 (9 + 7x)50x + 120 = 81 + 63x63x - 50x = 120 - 8113x = 39x = 3

Answer:

3

Step-by-step explanation:

Theorem:

If two secants intersect outside a circle, then the product of the length of the exterior segment of one secant and the length of that secant equals the product of the corresponding parts of the other secant.

In this case:

10 × (10 + 5x + 2) = 9 × (9 + 7x)

10(5x + 12) = 9(7x + 9)

50x + 120 = 63x + 81

-13x = -39

x = 3

What is the perimeter of ΔWXY?

11.57 cm
12.22 cm
12.46 cm
14.50 cm

Answers

no shape included, so this is impossible to answer

The perimeter of the triangle ΔWXY is P = 14.50 cm

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔXYZ

Now , the measure of sides of the inscribed triangle ΔQRS is

QR = 2.93 cm

RS = 2.04 cm

QS = 2.28 cm

where the points Q , R and S are the midpoints of the sides of the triangle ΔXYZ

So , the measure of sides of the triangle are twice the lengths of the sides of triangle ΔQRS

And , the perimeter P = 2 ( 2.93 + 2.04 + 2.28 )

On simplifying , we get

P = 2 ( 7.25 )

P = 14.50 cm

Hence , the perimeter is P = 14.50 cm

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The complete question is attached below :

What is the perimeter of ΔWXY?

a) 11.57 cm

b) 12.22 cm

c) 12.46 cm

d) 14.50 cm

Which lists contain only rational numbers? Select all that apply.
-6, -7, -9, -11,61
5, 12, 18, 24, 30
6 4 11 6 13
3' 7'99' 13' 37
0.865, 0.4444, -6.37, -11.11
7.3, 4.15, -6.26, 9.1

Answers

0.865, 0.4444, -6.37, -11.11
Rational are decimals / fractions

How many edges does this shape have?

Answers

Answer:

8 Edges.

Imagine a cardboard box. The top has four edges and the bottom of it has another four.

Answer:

8

Step-by-step explanation:

count top edges then multiply by 2

solve the system using substitution. show all work. {4x + 5y = 7 {y = 3x - 10

Answers

Answer:

x = 3, y = -1.

Step-by-step explanation:

4x + 5y = 7

y = 3x - 10

Substitute for  y = 3x - 10 in the first equation:

4x + 5(3x - 10) = 7

4x + 15x - 50 = 7

19x = 7 + 50 = 57

x = 57/19 = 3.

Now plug x = 3 in the second equation

y = 3(3) - 10

y = 9 -10

y = -1.

Dr. shepherd is studying a bacterial colony with a population of 29,600 bacteria. the colony is
growing 5% per hour. how many bacteria will the colony contain in 12 hours?
if necessary, round your answer to the nearest whole number
bacteria

Answers

Answer:

  53,157

Step-by-step explanation:

The population growth of a bacterial colony can be modeled by an exponential function of the form ...

  p(t) = a·b^t

where a is the initial population and b is the growth factor. The growth factor is ...

  b = 1 +r

where r is the growth rate.

__

In this problem we have ...

  a = 29,600

  b = 1 +5% = 1.05

  t = 12

So, the population after 12 hours is

  p(12) = 29600×1.05^12 ≈ 53,157

The colony will contain 53,157 bacteria in 12 hours.

Felix’s Feed Mill sells chicken feed for $8.00 per bag. This price is no longer high enough to create a profit. Felix decides to raise the price. He is considering four different plans.

Plan A: Raise the price by $0.10 each week until the price reaches $12.00.

Plan B: Raise the price by 10 percent each week until the price reaches $12.00.

Plan C: Raise the price by the same amount each week for 8 weeks, so that in the eighth week the price is $12.00.

Plan D: Raise the price by $0.25 each week until the price reaches $12.00.

Which plan will result in the price of the feed reaching $12.00 fastest?
plan A
plan B
plan C
plan D

Answers

Answer:

B

Step-by-step explanation:

essentially the plan that increases the price the most per week reaches the goal of $12 fastest.

plan A is $0.10 per week.

plan B it is not clear, if it means 10% of the original price every week, or every week 10% of the price of the previous week. I assume the first and simplest.

that means 10% of $8 = $0.80 per week.

plan C : the same amount every week until reaching $12. we need to increase in total by $4 (from $8 to $12). to reach these $4 in 8 weeks, we need to increase the price every week by 4/8 = $0.50.

plan D : $0.25 per week.

so, the plan with the highest increase every week and therefore the fastest one reaching $12 is plan B.

Lucia paints a certain room in 5 hours, and Marie paints the same room in 8 hours. How long does it take them to paint the room if they work together? Round to the nearest tenth.

Answers

Answer:

3.1 hrs  painting together

Step-by-step explanation:

Lucia rate = 1 room/ 5 hr

Marie rate = 1 room/8hr

now combine the rates

1 room / ( 1/5 + 1/8) = 3.077 hrs

Somebody please help I’ve been stuck on this question for 2 hours

Answers

The volume of the cylinder when its radius is tripled is 405π unit³.

What is the volume of the cylinder when its radius is tripled?

The volume of the cylinder when its radius is tripled is calculated by applying the formula for volume of a cylinder as follows;

V = πr²h

where;

r is the radius of the cylinderh is the height of the cylinderV is the volume of the cylinder

V₁/r₁² = V₂/r₂²

where;

V₁ is the initial volume = 45π unit³

r₁ = 3 units

when the radius is tripled, r₂ = 3r₁

V₁/r₁² = V₂/r₂²

V₂ = (V₁/r₁²) x r₂²

V₂ = (V₁/r₁²) x (3r₁)²

V₂ = 9V₁

V₂ = 9 x 45π unit³

V₂ = 405π unit³

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Mr. reeves planted 5 beans and 12 tomato plants in his garden. What is the ratio of bean plants to tomato plants ?

Answers

Answer:

5/12 = 0.416666....   also in percentage 29,41 % of the plant are beans and 70.59 % are tomato plants.

Consider the system of equations.

h(x) = 4x-2
j(x)= - 2x + 4

What does the point (1,2) represent in the system of equations?

A.
the minimum value
B.
the maximum value
C.
the point when h(x) = j(x)
D.
the domain and the range

Answers

The answer is d! Hope this helps

The bases of Triangle A and Triangle B are equal. The ratio of the height of
Triangle A to the height of Triangle B is 4 : 5. If the height of Triangle A is
16 cm and its base is 12 cm, what is the area of Triangle B?

Answers

Answer:

A = 120 cm²

Step-by-step explanation:

The 4 part of the ratio relates to the height of triangle A , then

16 ÷ 4 = 4 cm ← value of 1 part of the ratio, then

5 parts = 5 × 4 cm = 20 cm

The area (A) of triangle B is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 12 and h = 20 , then

A = [tex]\frac{1}{2}[/tex] × 12 × 20 = 6 × 20 = 120 cm²

What is 4(5x^{2} )+16=400

Answers

Step-by-step explanation:

4(5x²) + 16 = 400

5x² + 4 = 100

5x² = 96

x² = 19.5

x = ±sqrt(19.5) = ±4.415880433...

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