Let point C be between V and W on VW. Given that VW = 61, VC = z + 13, and CW = z + 8, solve for z. A. 18 B. 19 C. 20 D. 21

Answers

Answer 1
We have the total length of VW and we know that C lies somewhere on that line.
Therefore:
VC + CW = VW
z+13+z+8 = 61
2z+21=61
2z=61-21
2z=40
z=40/2
z=20

Related Questions

Add 5/12 + 69/10 enter you answer below as a fraction in lowest terms using the slash ( / ) as the fraction bar

Answers

5/12 + 69/10....LCD = 60
25/60 + 414/60 =
439/60 <== and this will not reduce

if 2/3 of the girls in class have brown eyes and 1/4 of the girls have blue eyes, what fraction of the girls in class have neither blue or brown eyes? need help

Answers

2/3 = 8/12
1/4 = 3/12
hence fraction of girls with neither blue or black eyes = 1 - 8/12 -3/12 = 1/12

The fraction of the girls in class have neither blue or brown eye is  1 /12.

What is a fraction?

A fraction represents a part of a number or any number of equal parts.

We have been given that if 2/3 of the girls in class have brown eyes and 1/4 of the girls have blue eyes.

We are asked the fraction of the girls in class have neither blue or brown eyes.

Thus, we get;

1 - ( 2/3 + 1 /4 )

= 1 - ( 8 / 12 + 3 / 12 )

= 1 - 11 / 12

= 12 / 12 - 11 /12

= 1 /12

Therefore,

the fraction of the girls in class have neither blue or brown eye is  1 /12.

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Number 1. Based on the marks, what can you assume to be true in each figure?

Answers

These marks are used in geometry to symbolize congruence. If two sides or two angles are congruent, they are assigned with the same symbol.

A. Side AD is congruent to Side  CB
B. Side HE is congruent to side HG. Side EF is congruent to Side GF.
C. The base angles are congruent. 
D. Side QF is congruent to Side MN, and Side QM is congruent to Side PN. The shape is a rectangle.
D. Side QF is congruent to side PN. The shape is a rectangle

Planning for the possiblity that your home might get struck by lightning and catch on fire is part of a plan for _____.
a.
financing
b.
managing income
c.
managing liquidity
d.
protecting assets

Answers

I think the answer would be d because you are trying to protect your home from getting struck by lightning.

Answer:  Option 'D' is correct.

Step-by-step explanation:

Planning for the possiblity that your home might get struck by lightning and catch on fire is part of a plan for preventing assets.

As we know that due to lightning, fire can be caught into the house and house can be burnt along with so many assets.

Hence, it is a plan for protecting assets .

Therefore, Option 'D' is correct.

The angles below are supplementary. what is the value of x? a pair of supplementary angles is shown. one angle measures 5x plus 20 degrees, and the other angle measures 50 degrees. 4 6 14 22

Answers

5x + 20 + 50 = 180
5x + 70 = 180
5x = 180 - 70
5x = 110
x = 110/5
x = 22 <===

The measure of the value 'x' for the supplementary angles will be 22. The correct option is D.

What are supplementary angles?

If two angles add up to 180 degrees, they are said to be supplementary angles. When supplementary angles are combined, they form a straight angle (180 degrees).

In other words, if Angle 1 + Angle 2 = 180°, angles 1 and 2 are supplementary. Angles 1 and 2 are referred to as "supplements" in this case.

The measure of the value x will be calculated as:-

5x + 20 + 50 = 180

5x + 70 = 180

5x = 180 - 70

5x = 110

x = 110/5

x = 22

Hence, the value of x will be 22.

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A doctor see each of her patients of 25 minutes durning a typical appointment how many patients can she see in a typical 7 1/2 hour day

Answers

NP = ( 7.5 hr / day ) ( 60 min /hr ) ( 1 patient / 25 min )
Sees 18 patients

18X 25=450

450/60mins in hour 7.5 hours

The doctor can see 18 patients in 7 1/2 hour.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

We have,

A doctor see each of her patients of 25 minutes.

Time = 7 1/2 hour = 15/2 hour = 15 x 30 = 450 minutes

So, In 7 1/2 hour the doctor can see

= (15/2) / 25

= 450/25

= 18 Patients.

Thus, the doctor can see 18 patients.

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mVUT =175, mVUJ=17x-3, and mJUT=17x+8. Find x

Answers

The diagram of the three angles is shown below with point U as the point where all three lines meet.

Angles property: Angles around a point add up to 360°

We set up an equation

[tex]175+17x-3+17x+8=360[/tex]
[tex]180+34x=360[/tex]
[tex]34x=360-180[/tex]
[tex]34x=180[/tex]
[tex]x= \frac{180}{34}= \frac{90}{17} [/tex]

Final answer:

To find the value of x, the student needs to set up an equation based on the sum of angles in a triangle, which is given as 175 degrees. The algebraic expressions for the other angles are used to establish the equation, which is solved for x, resulting in x = 5.

Explanation:

The student is asking for help with a geometric problem where the sum of the measures of angles in a triangle is given along with two algebraic expressions for the other angles. The fact that the angles add up to 175 degrees helps us establish an equation: mVUT = mVUJ + mJUT. Substituting the given values, we get 175 = (17x-3) + (17x+8). Simplifying this, we get 175 = 34x + 5. Subtracting 5 from both sides, we get 170 = 34x. Dividing both sides by 34, we find that x = 170 / 34, which simplifies to x = 5. Therefore, the value of x is 5.

How old are you if you were born in 1995 and its 2017?

Answers

Born year is 1995.
Present year is 2017.
Difference between present year and born year is = 2017 - 1995
                                                                                      = 22 years.
So my present age is = 22 year.

Answer:

22 years

Step-by-step explanation:

In 2.5 hours, Mr. Castelli drives a distance of 125 miles. He wants to know his average driving speed in meters per minute. Complete the table to find Mr. Castelli's average driving speed in meters per minute by using the units as a guide. [Note: 1 mile is approximately equal to 1.62 kilometers] miles per hourkilometers per hourmeters per hourmeters per minute

Answers

Okay. So we'll start off by talking about miles per hour. Me. Castelli drove 125 miles in 2.5 hours. Divide 125 and 2.5 hours and you see that he drove 50 miles (81 kilometers) in one hour. 1,000 meters are in 1 meter, and 1,000 * 81 = 81,000. So he drives 81,000 meters in 1 hour. To find meters per minute, you divide 81,000 by 60, and you'll get 1,350 meters per minute. Here it is written for you to understand it better:
Miles per hour: 50
Kilometers per hour: 81
Meters per hour: 81,000
Meters per minute: 1,350

Please help with all 3 questions and show all work thank you.


1) Find the area and perimeter of a rectangle with base 8 in. and height 15 in.

2) Find the distance between the points B(-2, 14) and C(3, 8) to the nearest tenth.

3) The midpoint of segment XY is (6, -3). The coordinates of one endpoint are X(-1,
Find the coordinates of endpoint Y.

Answers

1. 8+8=16
15+15=30
30+16=46-perimeter
15*8=120-area
2.well the slope is 3/4 but i don't know the distance
3.y(13, -6)
1) Area= 120in^2. 15*8=120in^2, Perimeter= 46 2*(15+8)=46

2) 7.8102= 7.8

3) Y endpoint = 5/2 i think

What is the maximum value for a 64-bit number?

Answers

Signed: From â’9,223,372,036,854,775,808 to 9,223,372,036,854,775,807, from â’(263) to 263 â’ 1 Unsigned: From 0 to 18,446,744,073,709,551,615, which equals 264 â’ 1

Numbers 1-30 are written on cards and placed in a bag. One card is drawn. Find each probability.

a. drawing an even number or a 1.

b. drawing an even number or a multiple of 7.

Answers

Answer:

A. [tex]\frac{8}{15}[/tex]    There are 15 even number and then there is 1 so 16 possibilities in total.

B. [tex]\frac{19}{30}[/tex]    There are 15 even numbers and there are 4 multiples of 7 so 19 in total.

The question requires calculating the probability of drawing an even number or a 1, and an even number or a multiple of 7 from cards numbered 1 to 30. For the first case, the probability is 16/30 and for the second case, it's 17/30, considering mutually exclusive events and counting each outcome only once.

The question involves calculating the probability of drawing specific cards from a set of numbered cards. To find the probability of a particular outcome, we divide the number of ways that outcome can occur by the total number of possible outcomes.
Probability of drawing an even number or a 1

In the set of numbers 1-30, there are 15 even numbers (2, 4, 6, ..., 30) and one number 1. Since the events 'drawing an even number' and 'drawing a 1' are mutually exclusive, we add the probabilities. There are 16 favorable outcomes (15 even numbers + 1), out of a total of 30 possible outcomes.

Probability = Number of favorable outcomes / Total number of outcomes
= 16/30

Probability of drawing an even number or a multiple of 7

Again, from numbers 1-30, we have 15 even numbers. The multiples of 7 up to 30 are 7, 14, 21, and 28. Of these, 14 and 28 are also even numbers and have already been counted. Therefore, we have 2 additional unique multiples of 7 (7 and 21) to consider. Thus, there are 17 favorable outcomes (15 even numbers + 2 unique multiples of 7).

Probability = 17/30

A​ high-speed catamaran operates between city and city
b. the catamaran can make the 157​-mile trip in about 2 1/2 hours. find the catamaran speed for this trip.

Answers

Since speed= distance/ time. The answer can be found by dividing the distance by the time:
157/2.5=62.8miles per hour

The weekly demand and supply functions for Sportsman 5 × 7 tents are given by
p = −0.1x^2 − x + 33
p = 0.1x^2 + 2x + 13
respectively, where p is measured in dollars and x is measured in units of a hundred. Find the equilibrium quantity. Find the equilibrium price.

Answers

To find the equilibrium quantity and price for tents, we equated the demand -0.1x² - x + 33 with the supply 0.1x² + 2x + 13, solved the equation, and found the equilibrium quantity to be 500 units and the equilibrium price to be $25.50.

To find the equilibrium quantity and price for the Sportsman 5 x 7 tents, we need to set the demand function equal to the supply function.

Demand function: p = -0.1x² - x + 33
Supply function: p = 0.1x² + 2x + 13

Setting them equal to each other:

-0.1x² - x + 33 = 0.1x² + 2x + 13

Now, combine like terms to solve for x:

-0.1x² - 0.1x² - x - 2x + 33 - 13 = 0

-0.2x² - 3x + 20 = 0

To find the equilibrium quantity x, we solve this quadratic equation.

By dividing the entire equation by -0.2 to simplify:

x² + 15x - 100 = 0

The factored form of the equation is (x + 20)(x - 5) = 0, this yields two solutions for x: x = -20 (which we dismiss as a negative quantity that does not make sense in this context) and x = 5. Therefore, the equilibrium quantity is 5 (in hundreds of units).

To find the equilibrium price, substitute x = 5 into either the demand or supply function:

p = -0.1(5)² - (5) + 33

p = -2.5 - 5 + 33

p = 25.5

So the equilibrium price is $25.50.

Write a function rule for that table.

Answers

The answer is f(x) = 2x. If we multiply the numbers in the left column by 2, we get the numbers in the right column.

Hope this helps!

The quotient Of triple a number and 9 is decreased by the sum of the number and 5? Expression please

Answers

X/3x -x+5
Hope it helps!!!!!!!!!

To pay for Sophia Maddie Paid a payment of $64 each month for one year how much did the sofa cost

Answers

The answer is:  " $ 768 " .
______________________________________
  12 months = 1 year.

$64 / mo. * (12 mo.) = $ (64 * 12) = $ 768 .
______________________________________


Graph the image of the given triangle, reflected across the y-axis for 2.

Graph the image of the given triangle after the transformation that has the rule (x, y)→(x, −y) for 3.

Answers

Question 1:

The rule (x, y) → (x+2, y-4) represents a translation 2 units RIGHT and 4 units DOWN. We know it's translated right from x + 2 (this is a translation across the horizontal axis) and it's translated down from y - 4 (this is a translation across the vertical axis).

Question 2:
Refer to the first diagram attached below

Question 3:
Refer to the second diagram attached below

Question 4:
We first need to work out the sum of angle in a pentagon, using the formula:

Sum of interior angles = (number of sides - 2) × 180°
Sum of interior angles = (5 - 2) × 180
Sum of interior angles = 3 × 180
Sum of interior angles = 540°

Then we set up an equation:
121° + 108° + 102° + 100° + x = 540°
431° + x = 540°
x = 540 - 431 = 109°
---------------------------------------------------------------------------------------------------------------

Question 5

Exterior angles of a polygon add up to 360°
We are assuming that the 13-sided polygon is a regular polygon, meaning all sides of the same length.

The size of one exterior angle = 360° ÷ 13 sides = 27.7° (to the nearest tenth)

1: up two, down four

For question 2 graph:

-7, -4

-9, -7

2, -9

For question 3 graph:

-5, 2

2, -7

4, 3

Question 5 just divide 360 / 13

You will get 27.69.. just round 27.7

2.8y + 6 + 0.2y = 5y -15

Answers

simplify 2.8y + 6 + 0.2y to 3y + 6

subtract 3y from both sides

simplify 5y - 15 - 3y to 2y - 15

add 15 to both sides

simplify 6 + 15 to 21

divide both sides by 2

switch sides

Answer: y = 21/2

*in decimal form this would be 10.5

3+10+4-6
I am stuck help on this algebra expression

Answers

Just do PEMDAS
[tex]Parentheses \\ Exponents \\ Multiplication \\ Division \\ Addition \\ Subtraction [/tex]

We're doing: [tex]addition [/tex] and [tex]subtraction [/tex] in this [tex]problem [/tex]

So,   [tex]3 + 10 + 4 -6 \\ 3 + 10 = 13,right ? \\ Now, 13 + 4 - 6 \\ Next, 4 - 6 = -2\\ Next, 13 + (-2) = 11,right ? \\Answer: 11 [/tex]

good luck on your assignment and enjoy your day!

                             ~[tex]MeIsKaitlyn:)[/tex]

what is angle 1 and 2 to each other and how can you tell

Answers

Angles 1 and 2 are adjacent angles. You can tell because adjacent means right next to each other, which they are. If they were a linear pair, they'd have to be adjacent to eachother on a line.

a parking lot can hold cars and small trucks. the scatter plot shows how many cars and trucks parked at the parking lot each day for a week. What is the daily average number of trucks at the lot that week? round to the bearest tenth if neccessary.

Answers

the answer to your question that is above is 3.3

Answer:

Daily average number of trucks at the lot that week are 3.3

Step-by-step explanation:

Given a parking lot which can hold cars and small trucks. The scatter plot show parking lot each day for a week in the given graph. We have to find the daily average number of trucks at the lot that week.

In order to find the daily average we have to add the no. of trucks park daily in a week the take the average dividing by 7.

No. of trucks park in a parking lot day-by-day in week are

2, 3, 3, 4, 6, 2, 3

We take the average as  

[tex]\frac{2+3+3+4+6+2+3}{7}=\frac{23}{7}=3.28\sim3.3[/tex]

Hence, daily average number of trucks at the lot that week are 3.3

What is the measure of angle WZX?

Answers

I hate Time4Learning. I took that back in middle school.

Here's how these expressions work together. First, you need to remember WZY is a right angle (90 degrees). Now, keep that in mind when we add both equation.

3c + 2c + 2 - 7 = 90

5c - 5 = 90

5c - 5 + 5 = 90 + 5

5c = 95

5c/5 = 95/5

c = 19. Now, put 19 in the place of c and solve.

3(19) + 2 = 57 + 2 =

59 degrees.

The measurement of angle WZX is equal to 59 degrees, B.

if my grade in math is a 51.32% and I get at least a 70% on my test. What percentage will my grade go up too? ( test are worth 45% )

Answers

keeping in mind that 70% of anything is 70/100 * anything, thus

[tex]\bf \begin{array}{ccll} \stackrel{percentage}{points}&\stackrel{test}{completed}\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 45&1\\\\ x&\frac{70}{100} \end{array}\implies \cfrac{45}{x}=\cfrac{1}{\frac{70}{100}}\implies \cfrac{45}{x}=\cfrac{\frac{1}{1}}{\frac{7}{10}} \\\\\\ \cfrac{45}{x}=\cfrac{1}{1}\cdot \cfrac{10}{7}\implies \cfrac{45}{x}=\cfrac{10}{7}\implies \cfrac{45}{x}=\cfrac{10}{7}\implies \cfrac{45\cdot 7}{10}=x \\\\\\ \cfrac{63}{2}=x\implies \boxed{31.5=x}[/tex]

so, you get that many percentage points, now... add that to 51.32.

Approximately how far is it from new york city to london? 500 miles 1,000 miles 3,000 miles 10,000 miles

Answers

New York City is around 3,000 miles away from London

A Brainliest for the correct answer

Answers

The answer to 7 is 359.42

In a bag of candy, for every 13 chocolate pieces there are 6 vanilla pieces. What is the ratio of chocolate to vanilla?

Answers

It would be a ratio of 13:6

Answer:

13:6

Step-by-step explanation:

I took the same quiz.

What is the expression in radical form? Enter your answer, in simplest form, in the box.

Answers

The answer is 

hope it helps


The expression in radical form is expressed as [tex](\sqrt[7]{7x^3y^2}) ^2[/tex]

Expressing the given expression in radical form means we need to introduce root into the expression:

According to the law of indices;

[tex](a^m)^n=a^{mn}\\a^\frac{m}{n}=\sqrt[n]{m}[/tex]

Given the indicinal expression:

[tex]=(7x^3y^2)^\frac{2}{7}\\ =(\sqrt[7]{7x^3y^2}) ^2[/tex]

Hence the expression in radical form is expressed as [tex](\sqrt[7]{7x^3y^2}) ^2[/tex]

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.help me please thanks

Answers

the answer is -3 
hope it helps
f(x) = -3x + 2.......f(5/3)...means sub in 5/3 for x

f(5/3) = -3(5/3) + 2
f(5/3) = -15/3 + 2
f(5/3) = -5 + 2
f(5/3) = -3 <==

What percent of 52 is 12? Round your answer to the nearest tenth.

Answers

When you try to find the percentage in these questions, you can set up an equation. the equation would be 52x=12. In this situation, x will be the percent that you are looking for. From here you can divide 12/52 to find out what percentage it is. I got approximately 23% or 0.23 as your answer.

The percent of 52 which result in 12 would be 23%.

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a' the percent that considered thing is of "a" is b%. Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts.

We need to find the percent of 52 which result in 12.

Let the unknown number is represneted by b.

It can be written as;

52% x b = 12

52/100 x b = 12

0.52 x b = 12

b = 12/0.52

b = 23%

Therefore, the percent of 52 which result in 12 would be 23%.

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