ZWXY is a right angle. If Z
is in the interior of ZWXY,
mZWXZ = 7x+8, and
m_ZXY = 5x-2, find the
value of x.

ZWXY Is A Right Angle. If Zis In The Interior Of ZWXY,mZWXZ = 7x+8, Andm_ZXY = 5x-2, Find Thevalue Of

Answers

Answer 1

Answer:

The value of x = 7

Step-by-step explanation:

To solve this, we will have to fist of all know that the sum of all the angles in a right-angled triangle is 180 degrees.

In addition to that, since the triangle is a right-angled triangle, automatically, one of the angles is = 90 degrees

The next thing to do is to add all the angles together and equate them to 180 degrees.

Angle WXZ + Angle ZXY + 90 = 180 degrees

7x+8 + 5x-2 + 90 = 180

12x + 96 = 180

12x = 84

x = 7


Related Questions

1/5 /3 help please Hahshah

Answers

Answer:0•0667

Step-by-step explanation: i don't really understand what you want but if it is one divide by five divide by three the answer is☝️☝️☝️

Answer:

1/15

Step-by-step explanation:

I think you mean 1/5 x 1/3? if not correct me and ill try to come back to your question.

Write an equation that illustrates a number with two decimal places multiplied by a number with one decimal place. The product has only two nonzero digits?

Answers

Answer:

z = 13.75 * 0.8 = 11 ( two nonzero digits )  

Step-by-step explanation:

An equation that has two decimal places multiplied by a number with one decimal place can be written as

z = x*y

where x can be = 13.75

and y = 0.8

therefore : z = 13.75 * 0.8 = 11 ( two nonzero digits )  

I need the value of y
-2(4 + 3y) = -2(4 + y)​

Answers

Answer:

y=0

Step-by-step explanation:

-2(4+3y)=-2(4+y)

-8-6y=-8-2y

+8     +8

-6y=-2y

+2y +2y

-4y=0

-4y/-4=0/-4

y=0

evaluate 3xy square -y if x=2 and y=5.​

Answers

Answer:

-750

Step-by-step explanation:

Step 1: Write out expression

3xy²(-y)

Step 2: Replace variables

3(2)(5)²(-5)

Step 3: Evaluate

3(2)(25)(-5)

6(25)(-5)

150(-5)

-750

Solve for x: two thirds plus one third times x equals two times x

Answers

Answer:  x = 2/5 in fraction form

In decimal form, the answer is x = 0.4

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

Work Shown:

2/3 = two thirds

2/3 + (1/3)x = 2x  is the equation you're given

Multiply every term by 3 so that we clear out the fractions

3*(2/3) + 3*(1/3)x = 3*2x

2 + x = 6x

From here, we solve for x

2 + x = 6x

2+x-x = 6x-x .... subtract x from both sides

2 = 5x

5x = 2

5x/5 = 2/5 ... divide both sides by 5

x = 2/5

x = 0.4

The solution of the expression is,

⇒ x = 0.4

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

''Two thirds plus one third times x equals two times x.''

Now, We can simplify as;

⇒ 2/3 + 1/3x = 2x

Solve for x as;

⇒ 2/3 = 2x - 1/3x

⇒ 2/3 = 5x/3

⇒ 2 = 5x

⇒ x = 2/5

⇒ x = 0.4

Thus, The solution of the expression is,

⇒ x = 0.4

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ5

You estimate that the driving distance from Raleigh, NC to Charlotte, NC is around 180 miles. When you looked it up on the internet, you found that the actual distance is only 167.5 miles. What was the relative (percent) error of your estimate? In other words, how far off were you from the actual value?

Answers

Answer:

i. The relative error in the estimated distance is approximately 7.5%.

ii. The value of the estimated distance was about 12.5 miles far of from the actual value.

Step-by-step explanation:

Given that;

Estimated distance  ≅ 180 miles

Actual distance = 167.5 miles

Then,

Estimated distance - Actual distance = 180 - 167.5

                                                             = 12.5 miles

So that,

Relative error = [tex](\frac{estimated distance - actual distance}{actual distance} )[/tex] × 100%

                       = [tex]\frac{12.5}{167.5}[/tex] × 100%

                       = 0.07463 × 100%

                       = 7.5%

i. The relative error in the estimated distance is approximately 7.5%.

ii. The value of the estimated distance was about 12.5 miles far of from the actual value.

hello, please help thank youu!!

Answers

Answer:

36 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

(5[tex]\frac{1}{2}[/tex] x 3) + (10 ÷ [tex]\frac{1}{2}[/tex])

(16[tex]\frac{1}{2}[/tex]) + (10 ÷ [tex]\frac{1}{2}[/tex])

(16[tex]\frac{1}{2}[/tex]) + (20)

36 [tex]\frac{1}{2}[/tex]

16\3 × 3\1=48\3

10\1÷ 1\2

10\1 × 2\1=20\1

20\1 + 20\1=960\3

1.-40/2 D
(10 Points)
N
W
Z
R​

Answers

Answer:

-40/2 is equal to -20

Step-by-step explanation:

still dont kno what n w z r means

How many reflectional symmetries does a regular decagon have? 5 10 15 20

Answers

Answer: B) 10

For any n sided regular polygon, there are n lines of symmetry. A regular decagon has n = 10 sides, so there are 10 lines of symmetry.

Answer:

10

Step-by-step explanation:

(58-x)-(x)=12 in one variable​

Answers

Answer:

x = 23

Step-by-step explanation:

Step 1: Write out equation

(58 - x) - (x) = 12

Step 2: Distribute negative

58 - x - x = 12

Step 3: Combine like terms

58 - 2x = 12

Step 4: Subtract 58 on both sides

-2x = -46

Step 5: Isolate x (divide both sides by -2)

x = 23

In the diagram, PQRS is a quadrilateral. < PQR = < PRS = 90°, /PQ/ = 3 cm , /QR/ = 4 cm and /PS/ = 13 cm, Find the area of the quadrilateral.

Answers

Answer:

36cm²

Step-by-step explanation:

From the sketched diagram of the Quadrilateral above, we have two triangles that are joined together, ∆PQR and ∆PSR

Both triangles are right angled triangles.

Step 1

We solve for ∆PQR

When solving for the sides of a right angled triangle, if two sides are given, we solve for the third sides using Pythagoras Theorem

Pythagoras Theorem =

c² = a² + b²

Where c = Longest side

For ∆PQR,

/PQ/ = 3 cm = a

/QR/ = 4 cm = b

/PR/ = c ??

c² = 3² + 4²

c² = 9 + 16

c² = 25

c = √25

c = 5cm

/PS/ = 5cm

We find the Area of this triangle using Heron's formula

= √s(s - a)(s - b)(s - c)

Where s = a + b + c/2

s = 3 + 4 + 5/2

= 12/2

s = 6

Area of the ∆PQR = √6(6 - 3)(6 - 4)(6 - 5)

= √6 × 3 × 2 × 1

= √36

= 6cm²

Area of the ∆PQR

Step 2

We solve for ∆PSR. Just like in Step 1, we solve for third side not given using Pythagoras Theorem

/PS/ = 13cm = c

/PR/ = 5cm = a

/SR/ = ?? = b

c² = a² + b²

13² = 5² + b²

b² = 13² - 5²

b² = 169 - 25

b² = 144

b = √144

b = 12cm

/SR/ = 12cm

We find the Area of this triangle using Heron's formula

= √s(s - a)(s - b)(s - c)

Where s = a + b + c/2

s = 5 + 12 + 13/2

= 30/2

s = 15

Area of the ∆PSR = √15(15 - 5)(15 - 12)(15 - 13)

= √15 × 10 × 3 × 2

= √900

= 30cm²

Area of the ∆PSR = 30 cm²

Step 3

We find the Area of the Quadrilateral

Area of the Quadrilateral (PQRS)= Area of ∆PQR + Area of ∆PSR

= 6cm² + 30cm²

= 36cm²

Therefore the Area of the Quadrilateral PQRS = 36cm²

5. Mis the midpoint of CD. C has coordinates (-1,-1) and
M has coordinates (3,5). Find the coordinates of D.

Answers

Answer/Step-by-step Explanation:

4. Midpoint (M) of AB, for A(-2, -3) and B(1, 2) is given as:

[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]

Let [tex] A(-2, -3) = (x_1, y_1) [/tex]

[tex] B(1, 2) = (x_2, y_2) [/tex]

Thus:

[tex] M(\frac{-2 + 1}{2}, \frac{-3 + 2}{2}) [/tex]

[tex] M(\frac{-1}{2}, \frac{-1}{2}) [/tex]

5. Given M(3, 5) as midpoint of CD, and C(-1, -1),

let [tex] C(-1, -1) = (x_2, y_2) [/tex]

[tex] D(?, ?) = (x_1, y_1) [/tex]

[tex] M(3, 5) = (\frac{x_1 +(-1)}{2}, \frac{y_1 +(-1)}{2}) [/tex]

Rewrite the equation to find the coordinates of D

[tex] 3 = \frac{x_1 - 1}{2} [/tex] and [tex] 5 = \frac{y_1 - 1}{2} [/tex]

Solve for each:

[tex] 3 = \frac{x_1 - 1}{2} [/tex]

[tex] 3*2 = \frac{x_1 - 1}{2}*2 [/tex]

[tex] 6 = x_1 - 1 [/tex]

[tex] 6 + 1= x_1 - 1 + 1 [/tex]

[tex] 7 = x_1 [/tex]

[tex] x_1 = 7 [/tex]

[tex] 5 = \frac{y_1 - 1}{2} [/tex]

[tex] 5*2 = \frac{y_1 - 1}{2}*2 [/tex]

[tex] 10 = y_1 - 1 [/tex]

[tex] 10 + 1= y_1 - 1 + 1 [/tex]

[tex] 11 = y_1 [/tex]

[tex] y_1 = 11 [/tex]

Coordinates of D is (7, 11)

S=2d/t solve for d pls help he answer this

Answers

Answer:

d= St/2

Step-by-step explanation:

by simplification the RHS and LHS

If two different data sets have the same mean, the one with a wide range gives a better representation of its cua
True
False

Answers

Answer:

True

Step-by-step explanation:

It’s True gives better representation of its cua

Mark just landed a great job as an engineer where he will make $65,000 a year. The company he will work for guarantees a 2% pay increase each year so it's employees' salaries keep up with inflation. At the end of the first year Mark will have made $65,000.

What is the explicit function that represents Mark's salary?

Answers

Answer:

The explicit function that represents Mark's salary is;

[tex]y = \$ 65,000 \times (1.02)^x[/tex]

Step-by-step explanation:

The given parameters are;

The amount Mark will make at annually as an engineer = $65,000

The percentage annual pay increase guaranteed by the company = 2%

The explicit function that represents Mark's salary can be presented as follows;

Let Mark's present salary = y

Therefore we have;

y = $65,000× (1 + 0.02)ˣ = $65,000× (1.02)ˣ

Mark salary, y at a particular year, x is y = $65,000× (1.02)ˣ.

B is the midpoint of AC.
1. AB = 3x + 6 BC = 2x + 14 Find AC.
2. AB = 5x – 8 BC = 16 - 3x Find AC.
3. AC = 3x - 1 BC = 12-X Find AB.
4. AB = 2x + 11 BC = 4x - 5 Find AC.
5. AC = 6x-4 BC = 4x - 3 Find AB.

Answers

1. AB=BC

3x+6=2x+14

X+6=14

X=8

AC=16

The value of,

1.  AB = 3x + 6 BC = 2x + 14 then, AC = 5x + 20

2. AB = 5x – 8 BC = 16 - 3x then, AC = 2x + 8

3. AC = 3x - 1 BC = 12-X then, AB = 4x - 13

4.  AB = 2x + 11 BC = 4x - 5 then AC = 6x + 6

5. AC = 6x-4 BC = 4x - 3 then AB = 2x - 1

What is Midpoint?

Midpoint is the point in the middle of the two endpoints of a line segment.

Now, B is midpoint of AC.

Then, AC = AB + BC

1. AB =  3x + 6, BC = 2x + 14

Then, AC = 3x + 6 + 2x + 14

         AC = 6x + 20

2. AB = 5x – 8,  BC = 16 - 3x

Then, AC = 5x - 8 + 16 - 3x

        AC = 2x + 8

3. AC = 3x - 1,  BC = 12-x

Then, AB =( 3x -1 ) - ( 12 - x )

        AB = 2x - 13

4.  AB = 2x + 11, BC = 4x - 5

Then, AC = 2x + 11 + 4x - 5

        AC = 6x + 6

5.  AC = 6x-4,  BC = 4x - 3

Then, AB = (6x - 4) - (  4x - 3 )

        AB = 2x - 1

Learn more about the Midpoint visit:

https://brainly.in/question/47856930

#SPJ2

Please help me out with the question in the photo. Thank you so much! Will award brainliest.

Answers

Answer:

Step-by-step explanation:

In the given numbers,

0.91..... = Rational number

[tex]-\frac{2}{3}[/tex] = Negative rational number

[tex]\frac{100}{11}[/tex] = Rational number

1.52323.... = Irrational number

-0.3333....  = Negative rational number

Although 1.52323..... is an irrational number but Lauren put these numbers in the same group because they are either rational or irrational numbers.

Factor expressions x^2+4x+4

Answers

Answer:

Your answer is:

(x+2)^2

Factor x2+4x+4

x2+4x+4

The middle number is 4 and the last number is 4.

Add together to get 4

Multiply together to get 4

2+2 = 4

2*2 = 4

(x+2)(x+2) or (x+2)^2

I just started 8th grade and I don’t understand.

Answers

Step-by-step explanation: Think of a translation as just sliding a figure.

So here, we will move each of the points 1 unit to the left.

Take a look below.

On the new figure translate I used the ' next to the letters.

That means "prime" which shows that we changed its location.

Make sure to use that on the new translation!

Look at the plotted points. Which statements are true? Select all that apply. Point C is located at (1, 5). Point D is located at (0, 1). Point E is located at (12, 6). Point F is located at (8, 6). Point G is located at (9, 2).

Answers

Points that are true: D, F and G

Answer:

its D, F and B

Step-by-step explanation:

I just got it right on edge 2020

)A spinner is divided into sections of equal size, of which some are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 50%. The probability of the arrow landing on a section colored blue is 10%. What is the probability of the arrow landing on a section colored green? I need help

Answers

Answer:

40%

Step-by-step explanation:

The probability of the arrow landing on the green section is a 40% chance

This is because there are only 3 sections where one is 50 and the other is 10

To find the green we can create an equation, where x = green section

50 + 10 + x = 100

The equation equals 100 because that's the highest the percentage will go in probability, unless we were told otherwise

60 + x = 100

x = 100 - 60

x = 40


Solve the following equation for the value of q.
5 (34 – 10) – 5q = –15

Answers

Answer:

q = 27

I hope this helps!

Answer: q=27

Step-by-step explanation:

Given

5(34-10)-5q=-15

Combine like term in the parentheses

5×24-5q=-15

Combine like term by multiplication

120-5q=-15

Subtract 120 on both sides (subtraction property of equality)

120-5q-120=-15-120

-5q=-135

Divide -5 on both sides (division property of equality)

-5/-5 q=-135/-5

q=27

Hope this helps!! :)

Please let me know if you have any question

ABC is an acute triangle. Two of it's side measure 11 cm and 14 cm. what is the range of possible values for its third side

Answers

Answer:

3 cm < x < 25 cm

Step-by-step explanation:

Given 2 sides of a triangle then the possible values for the third side are

let the third side be x

difference of sides < x < sum of sides , that is

14 - 11 < x < 14 + 11

3 < x < 25

Twice the difference of 1 and a number

Answers

Answer:

2(1 - x)

twice = 2

difference = subtraction

1

number = x

The algebraic expressions for Twice the difference of 1 and a number is:

2(1 - x)

How to write algebraic expressions?

An algebraic expression is an expression that is made up of variables and constants along with algebraic operations such as addition, subtraction, multiplication, exponent, etc.

We have:

Twice the difference of 1 and a number

Let x represent the number.

Let's write algebraic expression now:

The difference of 1 and a number is: 1 - x

Twice the difference of 1 and a number will be:

2 * (1 - x) = 2(1 - x)

Therefore, twice the difference of 1 and a number is 2(1 - x)

Learn more about algebraic expression on:

brainly.com/question/4344214

#SPJ6

If you have designed a test that measures principal leadership, and want to explore whether there are other constructs that are responsible for principal leadership, you would probably want to use which of the following techniques?

a. Factor analysis
b. Multi-trait
c. Pearson Product Moment Correlation

Answers

Answer:

Factor analysis

Step-by-step explanation:

Factor Analysis is a method for modeling observed variables, and their covariance structure, in terms of a smaller number of underlying unobservable “factors.” These factors are typically viewed as broad concepts or ideas that may describe a noted occurrence.

Take for example:

A basic impulse of acquiring a certain social level might explain most consumption behavior. These unobserved factors are more interesting to the social scientist than the noted numerical measurements.

If two locations are 1 km apart in actuality but only 1 cm apart on a map, what is the map's scale? A. 1:1,000 B. 1:10,000 C. 1:100,000 D. 1:1,000,000

Answers

Answer:

C

Step-by-step explanation:

1 km = 100,000 cm

Answer:

1:100,000

Step-by-step explanation:

One km is 1000 times a meter and 100,000 times a cm.

a recipe for 1 loaf of bread calls for 2 cups of flour, 12 tablespoons of water, and 1 teaspoon of salt. The recipe can be scaled up to make multiple loaves of bread. Complete the table that shows the quantities to use for multiple loaves of bread.​

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Let number of loaves = nl

Cups of flour = cp

Tablespoonful of water = sw

Teaspoonful of salt = ss

1 loaf of bread calls for :

2 cups of flour, 12 tablespoons of water, and 1 teaspoon of salt

1 loaf :

cp = 2 × nl

sw = 12 × nl

ss = 1 × nl = nl

nl - - - - - - cp - - - - - - sw - - - - - - ss

1 - - - - - - - 2 - - - - - - - 12 - - - - - - 1

2 - - - - - - - 4 - - - - - - - 24 - - - - - 2

4 - - - - - - - 8 - - - - - - - 48 - - - - - 4

3 - - - - - - - 6 - - - - - - - 36 - - - - - 3

Number of loaves = cups of flour / 2

which of the following actions is a person most likely to take if he or she has a hig level of self-disipline

Answers

Answer:

respect , structure

Step-by-step explanation:

If a person has a high level of self-discipline, that means they are very responsible and self-controlled.

They work hard without being asked to, and they stop themselves from getting addicted to things, and they don't do anything bad.

♡ Hope this helped! ♡

❀ 0ranges ❀

What is the value of y
10+2x
2y+8
10
18

Answers

Answer:

you cant answer the question you need to attach full question photo

opposite value of integer
6​

Answers

Answer:

-6

Step-by-step explanation:

The opposite value of an integer is the same distance from the origin of the number line as the number, just on the opposite side. So the integer 6's opposite is -6.

The answer will be -6
Other Questions
zinc does not give hydrogen on reaction with nitric acid Whats the answer to this ??? One major benefit of using the Bank Feeds feature in QuickBooks Online is that as you _________________ or __________________ transactions in QuickBooks Online from the downloaded transactions from the bank, they are marked ___________________. This makes the end-of-period bank reconciliation more efficient. Fill in the missing words in this statement. A chemical reaction produces solid sulfur as a product. Which unit should be used to describe the mass of the sulfur produced? milliliters grams kilometers kelvin Classify the given terms or examples with the appropriate category Inner ear cells detecting head position Skin receptors detecting clothing Respond to change Respond continuously Sensitivity remains constant Sensitivity decreases over time Nociceptors continually detecting pain Let a be -1/6 and let b be 1/2. Let x be the sum of the reciprocals of a and b, let y be the product of the reciprocals of a and b, and let z be twice the reciprocal of a divided by the reciprocal of b. Calculate x+y+z. Please Help! Tickets to a play are $12.00 for adults. Children receive a discount and only have to pay $8.00. If 40 people attend the play and the play brought in $440, then __?__children attended the play. Need to write all the times in Spanish He ran until hislegs were rubber. is it a idiom, metaphor,personification how did agroculture spread from the fertile cresent? Which of the following do both the federal and state governments have the power to establish? SchoolsCourtsLocal governmentsVoting districts Give an example of a number that is a whole number, but NOT a natural number.PLEASE HELP A scientist is observing a figure under the microscope that appears to be alive, however she is not sure. The scientist observes a membrane, but after closer observation notices that the image is not clear. What additional observation could she make to support that the object that she is observing under the microscope is alive? A. Bright, vibrant colors. B. Hair that surrounds the object. C. Communicating with another organism. D. The object splitting into two parts to form two organisms. BTW it is either C or D just couldn't figure it out. Which of the following correctly describes the relative air pressure at the center of a hurricane, with respect to the horizontal direction? Group of answer choices low at the surface, high aloft low at the surface and aloft high at the surface and aloft high at the surface, low aloft please someone help me... What are the three provisions stated in Disabilities Act passed by Government of India in 1995. why do you suppose that someone invented plastic If m // n and n // o and p is a transversal, find thefollowing;Which are corresponding angles? which are alternate interior angles? which are alternate exterior angles? which are same-side interior angles?Which are vertical angles? which are supplementary angles? On june the 1st 2016 falcon corp decided to repurchase its 10,000,000, 8% bond issue, maturing in 2023. the market price for the bonds on june 1st was 98. The carrying value at the time fof repurchase was 10,230,000. Make journal entries for repurchase of the bonds. Consider a 5 m long, air-filled section of a coaxial transmission line, given that the radius of the inner conductor is 10 cm and the inner radius of the outer conductor is 20 cm? If the current is 100 mA, how much magnetic energy is strored in the air medium between the conductors. This problem is similar to Example 2 in the Time Varying Fields folder in the Example Bank. a) 200.89 nj b) 3.47 nj c) 10.45nj d) 80.9nj