FInd x and y

I think 5x+3 means the entire measure of the bottom left angle

FInd X And YI Think 5x+3 Means The Entire Measure Of The Bottom Left Angle

Answers

Answer 1

Answer:

y = 6°

x = 19.4°

Step-by-step explanation:

Use alternating interior angles

The angle adjacent to 5x + 3 is equal to 58 because of alternating interior angles.

58+100+3y+4 = 162 + 3y

162 + 3y = 180

3y = 18

y = 6

The two base angles are equal because the two lines are parallel

5x + 3 = 100

5x = 97

x = 19.4

Hope this helps :)

Have an awesome day!


Related Questions

A square playground has an area of 10,000ft^2. What is the length of one of the slides of the playground?

Answers

Answer:

100 feet in length

Step-by-step explanation:

Given the following question:

[tex]A=s^2[/tex]

In order to find the area of the square we have to multiply two of the lengths by itself.

[tex]A=s^2[/tex]
[tex]A=100^2[/tex]
[tex]A=100\times100[/tex]
[tex]100\times100=10000[/tex]
[tex]=10000ft^2[/tex]

Which means one side of the given square is "100 feet."

Hope this helps.

153 divided by 4 with remainder

Answers

Answer:

153/4=38 Remainder 1

Answer:

38 r 1

Step-by-step explanation:

Hope this helped! Have a nice day!

:3

Michael looked at a list of real-world situations and wrote a number to represent each situation. His work is shown in the table below. Michael made one or more errors in his table. Identify the error(s) in the number(s) and correct the error(s).

Answers

Answer:

the 3 and the 22 should be negative

Need Help !!

Question 1 )

If sin θ – cos θ = 0, find the value of sin4 θ + cos4 θ. (2012, 2017D).

Notes ;

Kindly don't spam.
Need Authentic Answer.
Don't copy from other website , Give answer in ur own logic ....​

Answers

[tex] \huge \mathbb{\green{\fbox{\pink{ANSWER}}}} [/tex]

[tex] \\ \: \: \implies \: sin^{4} \: \theta + cos^{4} \: \theta \rightarrow \blue{ \frac{1}{2} } [/tex]

[tex] \\ \\ \: \large \mathfrak \green{Solution} : [/tex]

[tex] \\ \bf \: Given : [/tex]

[tex] \\

\sf \: \: \bf sin \: \theta - cos \: \theta = 0 [/tex]

[tex] \\ \sf \rightarrow \: sin \: \theta = cos \: \theta [/tex]

[tex] \\ \sf \rightarrow \: \frac{sin \: \theta} {cos \: \theta} = 1 [/tex]

[tex] \\ \sf \rightarrow \: tan \: \theta = 1 [/tex]

[tex] \\ \sf \rightarrow \: tan \: \theta = tan \: 45 \degree [/tex]

[tex] \\ \sf \rightarrow \: \theta = 45 \degree [/tex]

[tex] \\ \\ \therefore \: sin^{4} \: \theta + cos^{4} \: \theta [/tex]

[tex] \\ \sf \rightarrow \: sin^{4} \: 45 \degree + cos^{4} \: 45 \degree [/tex]

[tex] \\ \\

\sf \rightarrow \: (\frac{1}{ \sqrt{2} } ) ^{4} +(\frac{1}{ \sqrt{2} } ) ^{4} [/tex]

[tex] \\ \sf \rightarrow \: ( \frac{1}{ \cancel {\sqrt{2} }} )^{ \cancel{2}} ( \frac{1}{ \cancel{ \sqrt{2} }} )^{\cancel{2}} + ( \frac{1}{ \cancel {\sqrt{2} }} )^{ \cancel{2}} ( \frac{1}{ \cancel{ \sqrt{2} }} )^{\cancel{2}} [/tex]

[tex] \\ \\

\sf \rightarrow \: \frac{1}{2} × \frac{1}{2} + \frac{1}{2}× \frac{1}{2} [/tex]

[tex] \\ \\ \sf \rightarrow \: \frac{1}{4} + \frac{1}{4} [/tex]

[tex] \\ \\ \sf \rightarrow \: {\cancel \frac{2} {4}}[/tex]

[tex] \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \implies \fbox{\pink {\frac{1}{2}}} [/tex]

The value of [tex]sin^4\theta+cos^4 \theta[/tex] will be [tex]\frac{2}{(\sqrt{2})^4}[/tex]

Trigonometry identity

Given the expression

sin θ – cos θ = 0

This can be simplified further as:

sin θ = cos θ

sin θ/cosθ = cosθ/cosθ
tanθ = 1

θ = arctan(1)

θ = 45 degrees

To evaluate [tex]sin^4\theta+cos^4 \theta[/tex], substitute the value of theta into the expression to have:

[tex]sin^4\theta+cos^4 \theta\\=sin^445+cos^4 45\\=(\frac{1}{\sqrt{2}} )^4+(\frac{1}{\sqrt{2}} )^4\\=2(\frac{1}{(\sqrt{2})^4} )[/tex]

Hence the value of [tex]sin^4\theta+cos^4 \theta[/tex] will be [tex]\frac{2}{(\sqrt{2})^4}[/tex]

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How would you turn a fraction into a decimal? Give a detailed explanation

Answers

Answer:

The way I learned was by determining the denominator such 7/10 would be 0.7 because 7 is located in the tenths place.

/G/To convert a fraction to a percent, first divide the numerator by the denominator. Then multiply the decimal by 100 .

8.0 times 10 negative 5 in standard form

Answers

Answer:

75

Step-by-step explanation:

hope this helps

A watch, after allowing a discount of 15% on its marked price, was sold at a gain of 20%. Had it been sold after allowing 25% discount there would have been gain of Rs. 120. Find the cost price of the watch.​

Answers

Answer:

Answer:1200

Step-by-step explanation:

Consider the cost price to be x.

1st equation x - (15/100)x = x + (20/100)    ...15% discount and gain of 20%

2nd equationx - (25/100)x = x + 120           ....25% discount and a gain of 120Rs

Solving above equations by subtracting we get

(10/100)x = (20/100)x - 120

Solving LHS and RHS..(10/100)x =120

x=1200

What is the area of this face?

Answers

Answer:

10*4-6*2=28

Step-by-step explanation:

I think it’s none of those

a gardener is planting two types of trees type A is 5 feet tall and grows at a rate of 5 inches per year. Type B is 4 feet tall and grows at a rate of 8 inches per year.
Algebraically determine exactly how many years it will take for these trees to be the same height

Answers

Answer:

the answer is 4 years

Step-by-step explanation:

Help!!! Use 1st and 2nd differences to determine if the following table is linear, quadratic or neither.

Answers

Given the second difference, the table is quadratic.

What are linear and quadratic equations?

A linear function is a function that has a single variable raised to the power of 1. An example is x + 2. A quadratic function is a function that usually has a single variable and it is raised to the power of 2. An example is 2x² + 10x + 25.

What are the first and second differences?

First differences:

21 - 11 = 10

35 - 21 = 14

53 - 35 = 18

75 - 53 = 22

Due to the fact that the first difference is not the same, the function is not a linear function.

Second difference:

14 - 10 = 4

18 - 14 = 4

22 - 18 = 4

Due to the fact that the second difference is fairly constant, the function is a quadratic function.

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Alan saves $180 each month. How much has Alan saved after 3 years?
$540
O $1,620
O $3,240
O $6,480

Answers

Answer:

$6,480

Step-by-step explanation:

[tex]180(12)(3)=6,480[/tex]

Hope this helps

Answer:

#540

Step-by-step explanation:

Alan saved $180 in each month

and we have 12 months in a year so we say

$180=12

x=36

here we cross multiply then we have 180 * 36 which is equal to $6480 after that we divide it by 12 and that's $540

Note: I got 36 months because 12 months in a year so multiply by three years that's 36 months

Please help!
Steven borrows $60,000 for school. The intrest rate is 6.5%. He wants to pay off the loan in 12 years. What would be the simple intrest rate?

Answers

Answer:

i think it is $106,800.00

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6.5%/100 = 0.065 per year.

Solving our equation:

A = 60000(1 + (0.065 × 12)) = 106800

A = $106,800.00

The total amount accrued, principal plus interest, from simple interest on a principal of $60,000.00 at a rate of 6.5% per year for 12 years is $106,800.00.

The simple interest rate for this loan is 78%.

What is simple interest?

It is the interest calculated on the principal at a given rate for a time period.

We have,

If Steven borrows $60,000 at an interest rate of 6.5%, the total amount of interest he will pay over 12 years can be calculated as:

I = Prt

where I is the interest, P is the principal amount borrowed ($60,000), r is the interest rate as a decimal (0.065), and t is the time period in years (12). Substituting the given values, we get:

I = 60000 x 0.065 x 12

I = $46,800

The simple interest rate is the ratio of the total interest paid to the principal borrowed, expressed as a percentage:

simple interest rate = (total interest/principal borrowed) x 100

Substituting the given values, we get:

simple interest rate = (46800 / 60000) * 100

simple interest rate = 78%

Therefore,

The simple interest rate for this loan is 78%.

Learn more about simple interests here:

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PLEASE HELP ME. I DESPERATELY NEED IT

Write the point slope form of the equation of the line through the given point and slope:

EXPLAIN PLEASE. STEP BY STEP

Answers

hmm wait for my answer

Step-by-step explanation:

wait

Answer:  [tex]y + 1 = \frac{4}{3}\left(x - 3\right)\\\\[/tex]

=====================================================

Explanation:

The given slope is [tex]m = \frac{4}{3}[/tex] and the line goes through the point [tex](x_1,y_1) = (3,-1)[/tex]

This means [tex]x_1 = 3 \ \text{ and } \ y_1 = -1[/tex]

We will plug this information into the point-slope formula below and simplify.

[tex]y - y_1 = m\left(x - x_1\right)\\\\y - (-1) = \frac{4}{3}\left(x - 3\right)\\\\y + 1 = \frac{4}{3}\left(x - 3\right)\\\\[/tex]

We stop here since your teacher wants the answer in point-slope form. As the name implies, point-slope form is very handy to quickly spot the slope and a point on the line.

If your teacher wanted the answer in slope-intercept form, then you'd solve for y to get it into y = mx+b form.

if it takes 3 people to make 21 t-shirt per day , how long will it take 12 people

Answers

Answer:

84

Step-by-step explanation:

Because 3 people are making 21 shirts

If there were 12 people then your timesing the answer by 4 so 21=3 people so whats 3 people x 4=12 so then times the shirts by 4

Whats 21 x 4=84 so there is your answer.

Hope it helps have a great day:)

The solution is, 84 long will it take 12 people.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Because 3 people are making 21 shirts

If there were 12 people then your timesing the answer by 4

so 21=3 people so whats 3 people x 4=12

so then times the shirts by 4

21 x 4=84 so there is your answer.

Hence, The solution is, 84 long will it take 12 people.

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Rewrite the set N by listing its elements. Make sure to use the appropriate set notation.
N={z | z is an integer and -3

Answers

Answer:

please see the analysis

Step-by-step explanation:

Solution:

the Integer between [tex]-3So [tex]Z=-2 , -1 ,[/tex]

So [tex]P=\left\{-2\middle|-1\right\}[/tex] {write all the value of Z}

Trevor’s total employment compensation is $33,500. If Trevor has no job expenses and his gross pay is $28,600, then his total employee benefits are _____% of his gross pay. A. 4. 9 b. 8. 5 c. 14. 6 d. 17. 1.

Answers

The total employee benefits of Trevor with no job expenses and gross pay of $28600 is 17.1%. Option d is the correct option.

What is total employment compensation?

Total employment compensation is equal to the sum of gross pay and employment benefit subtracted with any job expenses.

Trevor’s total employment compensation is $33,500. Trevor has no job expenses and his gross pay is $28,600.

Let the total employee benefits is x. Therefore, using the above definition of total employment compensation,

[tex]33500=28600+x-0\\[/tex]

Solve it for x as,

[tex]x=33500-28600\\x=4900[/tex]

In the percentage form,

[tex]x=\dfrac{4900}{28600}\times100\\x=17.1\%[/tex]

Hence, the total employee benefits of Trevor with no job expenses and gross pay of $28600 is 17.1%. Option d is the correct option.

Learn more about the employment compensation here;

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Ben stayed in three different cities (Washington, D.C., Atlanta, Georgia, and Dallas, Texas) for a total of 14 nights. He spent three

times as many nights in Dallas as he did in Washington. The total cost for 14 nights (excluding tax) was $2230. Determine the

number of nights that he spent in each city.

City Cost per Night

Washington $200

$140

Dallas

$150

Atlanta

Answers

Answer:

Step-by-step explanation:

w + a + d = 14

d = 3w

200w + 150a + 140d = 2230

w + a + 3w = 14

4w + a = 14      Eq. 1

200w + 150a + 140d = 2230

20w + 15a + 14(3w) = 223

62w + 15a = 223   Eq. 2

Eq. 1 & Eq. 2

4w + a = 14

62w + 15a = 223

-60w - 15a = -210

62w + 15a = 223

2w = 12

w = 6.5

A half a night is not allowed. Are you sure of rates in each city?

Is it Washington $200,

Dallas $140

Atlanta $150

It doesn't work.

8 centimeters= ____ millimeters?

Answers

Answer: 80

Step-by-step explanation:

1 cm is 10 millimeters. 8*10 is 80

8 centimetres= 80 millimetres

8cm • 10mm = 80mm

Three friends decide to share the cost to rent an apartment equally. The apartments that they are considering cost at least 1 200 per month. Write and solve an inequality to represent each person's share of the rental cost​

Answers

each persons share of rental will cost at least 400$ per month!!

Three friends decide to share the cost to rent an apartment equally. The apartments that they are considering cost at least 1 200 per month. Write and solve an inequality to represent each person's share of the rental cost​

Lets highlight some key words.

There are three friends and they equally have to share an unknown amount of number to earn up to the 1200 per month,

X=Amount needed to pay the rent fee.

Since there are 3 friends and they have to split we have to multiply,

3x, "At least" is less than or equal to so .

3x [tex]\leq[/tex]

Additionally theres 1200 per month so the friends need to share there rent and 1200 is the total it should be put as

3x [tex]\leq[/tex] $1200

To add up to the rent, and to solve the inequality

we have to do the opposite of multiplication, and divide.

1200/3 = 400, x [tex]\leq[/tex] 400

Solve for x.

7.82x+1.83<15.42

Enter your answer in the boxes to correctly state the solution. Round your final answer to the nearest hundredth.

x

Answers

Answer:

26.44%

Step-by-step explanation:

The change in temperature is:

1535 - 1214 = 321

This change represents a percent increase:

321/1214*100% = 26.44% (rounded)

please help me solve this ​

Answers

Answer: a = 75 b = 60

Step-by-step explanation:

b + 120 = 180

b = 60

a + 105 = 180

a = 75

Please answer 25 and 26

Answers

25-8.37
26-10

(I might be wrong but I believe these are correct

Someone help please 15 points no links

Answers

Answer:

see explanation

Step-by-step explanation:

A) 1.25x is the equation. 10-5/8-4= 5/4. and so it is 1.25 for the slope.

B) 1.25(-4)= $-5

C) it does not make sense since you cannot have negative bags of candy

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=75(1.98)^x
y=75(1.98)
x

Answers

Since they are both the same question, the answer is GROWTH at 98%

I need help please 36 points

Answers

Using the power of zero property, we find that:

a) The simplification of the given expression is 1.

b) Since , equivalent expressions are:  and .

--------------------------------

The power of zero property states that any number that is not zero elevated to zero is 1, that is:

Thus, at item a, , thus the simplification is .

At item b, equivalent expressions are found elevating non-zero numbers to 0, thus  and .

A'B'C' is the image of AABC under a rotation about the origin, ( 0,0).

Determine the angles of rotation.


Choose all answers that apply.

Answers

Answer:

  90° CCW

Step-by-step explanation:

The angle from C to the origin to C' is a right angle when measured counterclockwise (in the usual direction).

ΔA'B'C' is a rotation of ΔABC 90° CCW.

__

This is fully equivalent to a rotation of 270° CW.

Convert mixed number 1 1/4 x 2/3

Answers

Answer:

5/4 x 2/3

it just means take the 1 and make it 4/4 instead then add the other 1/4

Find m angle 1 and m angle 2

Answers

Step-by-step explanation:

Firstly take the unknown angle be x

now x + 138° = 180° {: linear pair}

x = 180-138

x = 42

now , angle 1+ angle x + 18 = 180 { because of angle sum property }

=> angle 1 +42 +18 = 180

=> angle 1 +60 = 180

=> angle 1 = 180-60

=> angle 1 = 120

correctly simplify the expression 1/2 2 x 1/2 x 12 3

Answers

Answer:

18

Step-by-step explanation:

1/2 x 12 x 3

1 x 12 x 3/2 -divide all by 2

12 x 3/2 - simplify

36/2

answer: 18

Which regions have populations with 9 as the power?

Answers

Africa and Asia

I did it today in my class

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