Mathematics College

Order the sides of the triangle from shortest to longest. (HINT: You need to find the missing angle first!) 85 40° X V

Answers

Answer 1

To find the missing angle we use that the sum of the inner angles of a triangle must add up 180º:

[tex]\angle W+\angle V+\angle X=180º[/tex]

We know W and V, so we clear X:

[tex]\angle X=180º-\angle W-\angle V=180º-80º-40º=60º[/tex]

To order the sides, you don't need the size of them. Let's take a look at the angles:

So, since the angle with vertex on W is the widest, the opposite side to it (the segment XV) will be the longest. Then, the second angle is the one in X, so the second largest side will be it's opposite side (segment WV).

And finally but not last, the shortest side will be the oposite one to the narrowest angle, the one in V.

In summary, the sides ordered from shortest to longest are: c-a-b

Related Questions

how many zeros does the product of 25^5 ×150^4 ×2008 ^3 end with?

Answers

Answer:

13 trailing zeros

Explanation:

Our goal is to rewrite the expression such that we have 10 as a factor. Then the power of 10 will give us the number of trailing zeros.

The product can be rewritten as

[tex](5^2)^5\cdot(2\cdot3\cdot25)^4\cdot(2^3\cdot251)^3[/tex]

which can further be rewritten as

[tex]5^{10}\cdot(2^4)(3^4)(5^8)\cdot2^9\cdot251^3[/tex][tex]\Rightarrow2^{13}\cdot3^4\cdot5^{18}\cdot251^3[/tex][tex]10^{13}\cdot3^4\cdot5^6\cdot251^3[/tex]

We see that by rewriting our expression 10 appears with a power of 13; therefore, the expression has 13 trailing zeros.

[please help!!!]

The manager of a pizza restaurant recorded the total number of pizzas delivered after x weeks in this table. Which statement is true?

A. There was an increase of 83.5 pizzas each week from week 4 to week 6.

B. There was an increase of 34.5 pizzas each week from week 4 to week 6.

C. There was an increase of 50 pizzas each week from week 4 to week 6.

D. There was an increase of 28 pizzas each week from week 4 to week 6.

Answers

Answer:

the answer is a

Step-by-step explanation:

to see which answer is true, we must find the average of the difference between weeks 4-6

356 - 278 = 78

445 - 356 = 89

Now, find the average

89 + 78 = 167

167/2 = 83.5

therefore, answer A is true

During a football match, 18 boys are grouped into 2 teams
How many boys are there in each team?

Answers

there would be 9 boys in each team

help mee pleasee!!

thank you <3

Answers

An equation that models the number of people employed in some country as medical assistant in the last year x is y = 359 + 14.35x

In this question, we have been given the number of people employed in some country as medical assistant.

We need to write an equation that models the number of people employed in some country as medical assistant in the last year x.

the number of people employed in some country as medical assistant:

in 2004 = 359 thousand

and by 2014 this number is expected to be 560 thousand.

We find the rate of employment.

Consider (x1, y1) = (0, 359) and (x2, y2) = (14, 560)

m = (560 - 359)/(14 - 0)

m = 201/14

m = 14.35

We have been given the line must pass through points (0, 359) and (14, 560)

And, we get the y-intercept c = 359

with slope m = 14.35 and y-intercept c = 359, the equation of the line would be,

y = 14.35x + 359

Therefore, an equation that models the number of people employed in some country as medical assistant in the last year x is y = 359 + 14.35x

Learn more about an equation of line here:

https://brainly.com/question/24524587

#SPJ1

.
91,375 ÷ 10 power of 5
9.1375
913.75
91.375
0.91375

Answers

Answer:

I'm not sure the right equation to used for this problem. can someone help me please.

Which of the following expressions can be used to find PQ? A. 12 • sin 42°B. 12 • cos 42°C. 12/cos42°D. 12/sin42°

Answers

PQ is hypotenuse of the triangle

pR is the opposite side

so,

it will come like

sin 42=12/PQ

PQ=12/sin 42

so the answer is D

!! CR Algebra 1 B (GP) 21-22 / 8:Radical Expressions and Equations 104 8 6 4 N -10-8 -6 -4 2 0 2 4 6 8 10 -2 6 -8 -10 Match the graph with its function by translating the graph of y = x 4. O O y=&x-2 y = (2 O Oy=√x+2 y x+2 O y=√x+2 O y=√x-2 o Search the web and Windows e it

Answers

[tex]y\text{ = }\sqrt[]{x\text{ - 2}}\text{ (option A)}[/tex]

Explanation:[tex]\begin{gathered} \text{Original function:} \\ y\text{ = }\sqrt[]{x} \end{gathered}[/tex]

The graph of the parent function starts at the origin.

We need to find the translation done on the original function to get the graph in the image.

On the graph, the the line starts at x = 2. This means there was a translation of 2 units to the right sides

[tex]\begin{gathered} \text{for translation:} \\ f(x\text{ + a) : translation of a units to the left} \\ f(x\text{ - a): translation of a units to the right} \end{gathered}[/tex]

Since we are translating to the right, the new function becomes:

[tex]f(x\text{ - 2) = }\sqrt[]{x\text{ - 2}}\text{ (option A)}[/tex]

Evaluating RadicalsQuestion: Estimate the radical by identifying which two consecutive integers it falls in between.

Answers

Step 1

Given;

[tex]Estimate\text{ the radical by identifying which two consecutive integers it falls between}[/tex]

Step 2

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are; -1.43, 1 3/4, 3.14,0.09, and 5,643.1.

We know that the perfect squares between √11 are;

[tex]\begin{gathered} \sqrt{9}\text{ and }\sqrt{16} \\ \sqrt{9}=3 \\ \sqrt{16}=4 \\ \sqrt{11}=3.31662479 \end{gathered}[/tex]

Hence, the answer will be;

[tex]\begin{gathered} \sqrt{11}\text{ is between the integers 3 and 4} \\ 3<\text{ }\sqrt{11}\text{ }<4 \end{gathered}[/tex]

Find the sum 12 1/9 + 10 2/3

Answers

Answer:

12 1/9 = 109/9

10 2/3 = 32/3

Step-by-step explanation:

109/9 +32/3

=205/9

Which law is used to come to the stated conclusion? If no conclusion can be drawn, answer "no conclusion". If Rae is the driver today then Maria is the driver tomorrow. Annis the driver today.

Answers

DEFINITIONS:

1) Law of Contrapositive: This law reverses the conclusion and the hypothesis of the inverse of the conditional statement. This is expressed as:

[tex]\begin{gathered} \text{Original Statement: If p, then q} \\ \text{Contrapositive Statement: If not q, then not p} \end{gathered}[/tex]

2) Law of Detachment: This law states that if the conditional statement is true, and the hypothesis is true, then the conclusion is true as well. This is expressed as:

[tex]\begin{gathered} 1)\text{ If p, then q} \\ 2)\text{ p} \\ \text{Then},\text{ statement q is true} \end{gathered}[/tex]

3) Law of Syllogism: This law is explained as:

[tex]\begin{gathered} 1)\text{ If p, then q} \\ 2)\text{ If q, then r} \\ \text{Then,} \\ 3)\text{ If p, then r is true} \end{gathered}[/tex]

QUESTION:

The statements provided can be separated as shown below:

[tex]\begin{gathered} 1)\text{ p = Ray is the driver today} \\ 2)\text{ q = Maria is the driver tomorrow} \\ 3)\text{ r = Ann is the driver today} \end{gathered}[/tex]

The question states that

[tex]\text{If p, then q}[/tex]

and

[tex]r\text{ is true}[/tex]

This conclusion cannot be proved using any of the rules above.

Therefore, no conclusion can be drawn on the truth of the statement.

In his first period, Mr. Mueller had 27 students in his virtual class after 5 students left the class. Whichequation can be used to find b, the number of students in his class before the 5 students left?5+b = 275b = 27b-5 =27b/5 = 27

Answers

she had 27 students after 5 students left her class.

Her present number of student = 27

Initial number of student before 5 left the class = 27 + 5 = 32

number of student in his class before the 5 student left can be represented as follows

where

b = number of student before 5 student left his class

b - 5 = 27

10. A mouse runs a distance of 2metres in 15 seconds. What is its speed?

Answers

We will use the formula;

speed = distance / time

from the question, d= 2 t=15

substitute the value into the formula:

speed = 2/15 = 0.13333 m/s

use the volume of the given sphere to find x

Answers

umm ciao anyways.........................................

Please help us with this math problem so we can sleep to night

Answers

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

Jupiter's mass = 1.89 x 10^27 kg

Moon's mass = 7 x 10^22 kg

Step 02:

We must analyze the problem to find the solution.

[tex]\frac{j\text{ mass}}{m\text{ mass}}=\frac{1.89\cdot10^{27}}{7\cdot10^{22}}=0.27\cdot10^5[/tex]

0.27x10^5 = 27000

The answer is:

The mass of Jupiter is 27,000 times the mass of the moon.

Robbie wants to plot the .four, five on a coordinate plane which statement describes how to plot this point starting from the origin

Answers

We were told in the question that Robbie wants to plot the point (4, 5) on a coordinate plane. we are to determine from the option the statement that describes how to plot it.

Plotting on a coordinate plane already gives us the idea of x and y axis which is the vertical and the horizontal.

We were given positive values for both points which implies that:

Since 4 is the x-axis and positive and 5 is y-axis and also positive. We can draw a statement that:

We move 4 units to the right and then 5 units up.

With this, the correct option is C.

fill in the blanks please

Answers

Answer:

2) Consecutive interior angles are supplementary.

5) Division Property of Equality

(c)
Calculate the return on investment (as a %) for 2007, 2008, and 2009. (Round your answers to the nearest tenth of a percent.)
2007

Incorrect: Your answer is incorrect.
%
2008

Incorrect: Your answer is incorrect.
%
2009

Incorrect: Your answer is incorrect.
%
(d)
Prepare a trend analysis of the net revenue and total assets for 2005 through 2009. (Round your answers to one decimal place.)
2009 2008 2007 2006 2005
Net Revenue

Incorrect: Your answer is incorrect.
\

Changed: Your submitted answer was incorrect. Your current answer has not been submitted.
100.0
Total Assets
156.8

Correct: Your answer is correct.
158.3

Correct: Your answer is correct.
149.5

Correct: Your answer is correct.
125.2

Correct: Your answer is correct.
100.0

Answers

Answer:

thats confusing is there any other ways you could format it?

Step-by-step explanation:

Evaluate the expression for x=3 and y=5:(3y - 6)/x

Answers

Let's evaluate the expression by applying the Substitution Method.

Let's substitute x = 3 and y = 6 to the expression:

[tex]\text{ }\frac{3y\text{ - 6}}{x}[/tex]

We get,

[tex]\text{ }\frac{3y\text{ - 6}}{x}\text{ = }\frac{3(5)\text{ - 6}}{3}[/tex][tex]\text{ = }\frac{15\text{ - 6}}{3}\text{ = }\frac{9}{3}[/tex][tex]\text{ = }3[/tex]

Therefore, the expression (3y - 6)/x at x = 3 and y = 5 will give you a value of 3.

an article in a psychology journal journal claims that young students who play a musical instrument tend to have higher test scores on state math exams.

Answers

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Raj worked 51 hours last week. He earns $ 14.02 per hour plus overtime, at theusual rate, for hours exceeding 40 hours. What is his gross pay? Round answer totwo decimal places. If answer does not have two decimal places then include zeroso that it does. For the units use a word not a symbol. Be sure to attach your workto this question in order to receive credit for your answer.Your Answer:units:

Answers

Given:

Raj worked 51 hours last week.

He earns $ 14.02 per hour

[tex]\begin{gathered} \text{Gross salary=14.02}\times51 \\ =\text{ \$715 .02} \end{gathered}[/tex]

Gross salary is 715.02 dollar per week

What is the rectangular form of the parametric equations?x(t)=t+3, y(t)=2t^2−4, where t is on the interval [−4,0].Enter your answer, in standard form, by filling in the boxes.

Answers

[tex]\begin{gathered} x=t+3 \\ y=2t^2-4 \end{gathered}[/tex]

1. Solve t in the first equation:

[tex]\begin{gathered} x=t+3 \\ t=x-3 \end{gathered}[/tex]

2. Substitute the t in the second equation by (x-3):

[tex]\begin{gathered} y=2t^2-4 \\ y=2(x-3)^2-3 \end{gathered}[/tex]

3. Write the equation you get in previous step in standard form:

[tex]\begin{gathered} (a-b)^2=a^2-2ab+b^2 \\ \\ y=2(x^2-2*x*3+3^2)-3 \\ y=2(x^2-6x+9)-3 \\ y=2x^2-12x+19-3 \\ \\ y=2x^2-12x+16 \end{gathered}[/tex]

To find the inverval of x use the equation x=t+3 and the interval of t

[tex]\begin{gathered} t\lbrack-4,0\rbrack \\ x=t+3 \\ x=-4+3=-1 \\ x=0+3=3 \\ \\ x\lbrack-1,3\rbrack \end{gathered}[/tex]Answer:[tex]\begin{gathered} y=2x^2-12x+16 \\ \lbrack-1,3\rbrack \end{gathered}[/tex]

The function f(x) = 2 * (2) ^ x was replaced with f(x) + k resulting in the function graphed below

PLEASE HELP WILL MARK BEAINLY

Answers

Example:

f(x) = (x - 1)2, f(x) = 8x , f(x) = x2 - x , f(x) = 7. Summary: From the given functions, f(x) = 7 is the even function.

BRAINLIEST (statistics) (please help fast)

As an introduction to probability, a student is asked to roll a fair, six-sided number cube seven times. The results of those seven rolls are shown below.

1, 4, 4, 4, 4, 6, 5

What is the IQR of the data?

1
1.53
2
5

Answers

Step-by-step explanation:

first find the median (middle value) of the lower and upper half of the data. these values are quartile 1 (Q1) and quartile 3 (Q3). the IQR is the difference between Q3 and Q1.

first sort the data low to high.

the median of the whole data set is 4.

1, 4, 4, 4, 4, 5, 6

the lower half is

1, 4, 4

the upper half is

4, 5, 6

the median of the lower half is 4

1, 4, 4

the median of the upper half is 5

4, 5, 6

the IQR is then

5 - 4 = 1

Answer:

A) 1

Step-by-step explanation:

Given data:

1, 4, 4, 4, 4, 6, 5

We need to find the IQR of data.

What is the IQR:

IQR is the difference of medians of upper and lower halves of the data.

IQR = Q3 - Q1

Find Q3 and Q1:

Q3 = 5, since upper half consists of 4, 5, 6.Q1 = 4, since lower half consists of 1, 4, 4.

Find the IQR:

IGR = 5 - 4 = 1

Correct choice is A

Evaluate 9yl – yº if y = – 8.-71-73- 2- 64

Answers

First of all, we need to rules to solve this:

[tex]\begin{gathered} a^0=1,a\ne0 \\ a^1=a,a\text{ any number} \end{gathered}[/tex]

So, the equation to be evaluated can be reduced to:

[tex]\begin{gathered} y=-8\Rightarrow9y^1-y^0=9y-1 \\ \Rightarrow9y^1-y^0=9\cdot(-8)-1=-72-1=-73 \\ \Rightarrow9y^1-y^0=-73 \end{gathered}[/tex]

Then, the answer is -73, the second option

Which degree polynomials have ends that head off in opposite directions?Even degree polynomialsOdd degree polynomialsEven and odd degree polynomialsNone of the choices

Answers

Answer:

Odd degree polynomials

Explanation:

In order to determine what degree polynomials have ends that head off in opposite directions, recall the rules of the leading coefficient test.

When using the Leading coefficient test, the following rule applies:

• When the ,degree is odd, and the leading coefficient is positive, the graph ,falls to the left and rises to the right.

• When the ,degree is odd, and the leading coefficient is negative, ,the graph rises to the left and falls to the right.

• When the degree is even and the leading coefficient is positive, the graph rises to the left and right.

• When the degree is even and the leading coefficient is negative, the graph falls to the left and right.

Thus, we see that when the degree of the polynomial is odd, the ends head off in opposite directions.

The second option is correct.

- 10> - 11 1/5 means that - 11.33 is located to the left of- 7.40 on the number line.

Answers

On the number line, the numbers increase from left to right like that

-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5

Then -10.33 will come before -7.40 like that

-11, -10, -9, -8, -7, -6

since -11 is left -7, then -11.33 will be left -7.40

It is YES

#4 Write an equation, in slope-intercept form, for a line that passes through (3, 4) and has a y-intercept of -8.

Answers

[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{4})\hspace{10em} \stackrel{slope}{m} ~=~ - 8 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{- 8}(x-\stackrel{x_1}{3}) \\\\\\ y-4=-8x+24\implies {\Large \begin{array}{llll} y=-8x+28 \end{array}}[/tex]

An isosceles triangle has an angle that measures 102 degrees. What measures are possible for the other two angles ? Choose all that apply 75, 39, 18, 8

Answers

Answer:

39 °

Step-by-step explanation:

Isosceles means two angles , x, are =

x + x + 102 = 180 ( the sum of triangle angles always = 180)

2x = 78

x = 39 °

The price of regular rice is $1 per pound; that of premium rice is $2. Mix 300 pounds
of regular rice with 400 pounds of premium rice. What is the price of the mixture?

Answers

Answer:

1200 dollars

Step-by-step explanation:

2x400 is 800 + 1x400 =1200

help meeeeeeeeeeeeeeeeeeeeeee

thank you

Answers

The function g(3) has a value of 0

How to determine the value of the function?

The graphs represent the given parameters

The function definition is given as

g(3)

On the two graphs, we have the following highlights

First graph: The function of ySecond graph: The function of g(x)

This means that we use the second graph to calculate the value of the function g(3)

The function g(3) means the value of x is 3

On the graph, we have

g(x) = 0 when x = 3

So, we have

g(3) = 0

Hence, the value of the function is 0