Mathematics High School

PLEASE HELP 20 POINTS

According to the Alternating Interior Angles theorem, which pair of angles is congruent?
∠SQU and ∠SRW
∠UQR and ∠WRT
∠VQR and ∠WRQ
∠TRZ and ∠TRW

Answers

Answer 1
∠VQR and ∠WRQ 



hope it helps!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer 2

According to the Alternating Interior Angles theorem, the pair of angles that are congruent are ∠TRZ and ∠TRW. Here option D is correct.

The Alternating Interior Angles theorem states that when a pair of parallel lines are intersected by a transversal, the alternating interior angles are congruent.

A - ∠SQU and ∠SRW: These angles are not alternate interior angles; they are on the same side of the transversal.

B - ∠UQR and ∠WRT: These angles are not alternate interior angles either; they are corresponding angles.

C - ∠VQR and ∠WRQ: These angles are alternate interior angles, but they are not congruent. They are supplementary, meaning their measures add up to 180 degrees.

D - ∠TRZ and ∠TRW: These angles are alternate interior angles and are congruent according to the Alternating Interior Angles theorem.

So, the correct answer is option D - ∠TRZ and ∠TRW.

Complete question:

According to the Alternating Interior Angles theorem, which pair of angles is congruent?

A - ∠SQU and ∠SRW

B - ∠UQR and ∠WRT

C - ∠VQR and ∠WRQ

D - ∠TRZ and ∠TRW

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Related Questions

What is the rule about significant figures when multiplying and dividing measurements?

Answers

report answer to same amount of sig figs and the least # with least figures

ex -   587 x 45 = 26,415   --> 26,000 or 2.6 x 10^4 

A flower bed has the shape of a rectangle 7 yards long and 4 yards wide. what is its area in square feet

Answers

In order to find the area of a rectangle, the width must be multiplied by the length. Since we know the length is 7 yards and the width is 4 yards, we can simply multiply these two values together. 4yd x 7yd= 28yds^2.

what’s 2/5+3/4+1/2 in simplest form

Answers

the exact form is 33/20
the mix number is 1 13/20
Hi!

First, let's find the LCD of the denominators. (5, 4, and 2)

2, 4, 6, 8, 10, 12, 14, 16, 18, 20
4, 8, 12, 16, 20
5, 10, 15, 20

Now we have to change all of the numerators to match the denominators. 

Since 5 goes into 20 four times..
2 x 4 = 8
8/20

Since 4 goes into 20 five times...
3 x 5 = 15
15/20

Since 2 goes into 20 ten times...
1 x 10 = 10
10/20

Our new fractions are..
8/20+15/20+10/20=?

Now just add the numerators.
33/20

If you want to simplify it to a mixed number, your answer is 1 13/20
If you want to keep it as a fraction, it's already in simplest form. So the answer is 33/20

Hope this helps! :)

Answer choices:

never

sometimes

not enough information provided to answer the question

always

Answers

The correct answer is Always

P(A and B) means add A and B

 if both A and B are both greater then 1/2

 then when they are added they will always be greater than 1

A bank's monthly charge for maintaining an account is $.45 for each check written plus a service charge of $12.50. If x represents the number of checks written during the month, which function models this situation?

Answers

The function would be 12.50+.45x

Answer:

0.45x + 12.50

Step-by-step explanation:

how to convert 1500 ml to liters

Answers

Divide 1500 by 1000
1500/1000 = 1.5

Conversion of 1500 mL to liters is 1.5 liters.

To convert 1500 mL to liters, follow the strategy for conversions. You are starting from mL, which is a smaller unit, and want to find out how many liters this is equivalent to, with liters being the larger unit.

Firstly, we know that 1 liter is equivalent to 1000 milliliters. Since we are converting from a smaller unit to a larger unit, you will need to divide the number of mL by 1000. Therefore:

1500 mL / 1000 = 1.5 liters.

You will need to move the decimal point 3 places to the left because there are 3 zeros in 1000. So, the final step to convert 1500 ml to liters is to simply divide 1500 by 1000, which gives us 1.5 liters.

Is this a function? If so, write function in function notation. (0,-7), (1,-4), (2,-1), (-1,-10) Is this a function? Yes or No? If yes, write the equation.

Answers

well, for a function, in a set of x,y ordered pairs, so long the "x" are not repeated, then it IS a function, let's look

[tex]\bf \{(\boxed{0},-7), (\boxed{1},-4), (\boxed{2},-1), (\boxed{-1},-10)\}\impliedby \begin{array}{llll} \textit{nope, no x-re} peats\\ \textit{it is indeed a}\\ function \end{array}[/tex]

so then, let's use two of those points ahemm let's see say (0, -7) and (2, -1)

so, what's the equation of a line that goes through  (0, -7) and (2, -1)?

[tex]\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ 0}}\quad ,&{{ -7}})\quad % (c,d) &({{ 2}}\quad ,&{{ -1}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-1-(-7)}{2-0}\implies \cfrac{-1+7}{2-0} \\\\\\ \cfrac{6}{2}\implies 3 \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-7)=3(x-0)\implies y+7=3x \\\\\\ y=3x-7[/tex]

Ken says that 9,138 rounded to the nearest thousand is 9,100

Answers

it's stays the same so the answer is 9,138
That is incorrect ken rounded to the nearest hundred not thousand


The inequality of the most people that can be seated in the auditorium

Answers

Let x be the number of people that can be seated.

The value of x is some number 0 or greater, such that this number is a whole number (we can't have half a person). This means that [tex]x \ge 0[/tex] which is the same as saying [tex]0 \le x[/tex]

The instructions state that we can seat up to 1200 people. This is the max capacity. We can't go over this amount. So we will also have [tex]x \le 1200[/tex] indicating that x can be less than 1200 or equal to 1200.

So putting the two inequalities together, we get [tex]0 \le x \le 1200[/tex]

Note: if you haven't learned about compound inequalities yet, then the teacher may only want [tex]x \le 1200[/tex] as the answer.

My rectangular soccer field site has a length equal to three times its width. find its area in terms of its length x.

Answers

A rectangle with dimensions:

length = a units, and width= b units, has area: [tex]Area=a \cdot b=ab[/tex] (units squared)

In the rectangular soccer field, the length is x units, which may be meters, feet etc. 

and the length is 3 times the width, so the width is just one third of the length, that is width= x/3  

[tex]Area_{field}=width \cdot length= \frac{x}{3} \cdot x= \frac{ x^{2} }{3} [/tex]  square units



Answer: [tex]\frac{ x^{2} }{3} [/tex] square units

One number is 6 less than a second number. twice the second number is 9 less than 5 times the first. find the two numbers

Answers

ssssssssssssssssssssssssssssssssss

What is the square root of 120 rounded to the nearest hundredths?

Answers

sqrt 120 rounded to the nearest hundredth = 10.95

Answer:

The value of the square root of 120 is 10.95

      What is square root ?

Square root of the number is the factor that we can multiply by itself to get that number .

     If square of a number is equal to another number than we can write

         m = n²

    And after taking root to both side

       √m = √n²

   We can cancel the square with root and

       √m = n

   We know the prime factor of 120

        120 = 2x2x2x3x5

   So the square root of 120 will be

       √(2x2x2x3x5)= 2 √(2x3x5)

                                = 2 √(30)

   And we know the value of √(30) = 5.477

     Root of 120 = 2x5.477

                           = 10.95

Hence , the square root of 120 is 10.95 .

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find the circular cylinder of largest lateral area which can be inscribed in a sphere of radius R=4 feet

Answers

Let say radius is r 
its height is h 
its lateral area = y 
y = 2 pi r h 
since the cylinder is inscribed in the sphere 
So (2r )^2 + h^2 = 64 
then 4 (r^2) = 64 - h^2 
since y^2 = 4 (pi)^2 r^2 h^2 
then y^2 = (pi)^2 *h^2 * (64 -h^2) 
y^2 = 64 (pi)^2 * h^2 - (pi)^2 * h^4 
2 y y' = 128 (pi)^2 * h - 4 (pi)^2 * h^3 
putting y' = 0 
4 (pi)^2 h ( 32 - h^2)=0 
ether h = 0 testing this value (changing of the sign of y' before and after ) y is minimum 
or h = 4 sqrt(2) 
testing this value (changing of the sign of y' before and after ) y is maximum 
So the maximum value of y^2 = (pi)^2 *32 *( 64 - 32) 
y^2 = (pi)^2 * (32)^2 
y = 32 (pi) square feet

hope this helps

Josh wants to make a set of 12 ceramic cups. He figures he'll need 0.75 of a pound of clay for each cup. How many pounds of clay does Josh need in all?

A.) 8.4 pounds
B.) 9 pounds
C.) 12.75 pounds
D.) 16 pounds

Answers

multiply 12 x 0.75

12 x 0.75 = 9

answer is B. 9 pounds

Answer:

Josh will need 9 pounds Option B.

Step-by-step explanation:

Josh wants to make a set of 12 ceramic cups.

For each cup he will need 0.75 pound of clay

We have to calculate how many pounds of clay does Josh need for 12 ceramic cups. So we have to multiply 12 cups by 0.75.

for 12 cups he will need = 12 × 0.75 = 9 pounds.

Josh will need 9 pounds to make a set of 12 ceramic cups.

Can the square root of 2 be written as an infinitely long fraction

Answers

No I believe it ends at 1.41421356237. unlike Pi that goes on forever

Translate into a numerical expression.

seven less than the product of eleven and the reciprocal of nine.

Answers

(11*9⁻¹)-7. that's it.
Final answer:

To translate the sentence 'seven less than the product of eleven and the reciprocal of nine' into a numerical expression, you would write '11*(1/9) - 7'.

Explanation:

The sentence 'seven less than the product of eleven and the reciprocal of nine' can be translated into a numerical expression as follows:

Firstly, identify the main operations in the sentence. In this case, you have a product (multiplication) and a less than (subtraction) operation. The phrase 'the product of eleven and the reciprocal of nine' will be translated as 11*(1/9), since the reciprocal of nine is one over nine or (1/9).

Next, the 'seven less than' part indicates a subtraction operation. So, the complete numerical expression would be written as '11*(1/9) - 7'.

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The distribution of the time it takes for different people to solve a certain crossword puzzle is strongly skewed to the right, with a mean of 30 minutes and a standard deviation of 15 minutes. the distribution of z-scores for those times is

Answers

Answer: Skewed to right with mean 0 and S.D. 1 Explanation: Let's assume the z-scores as a linear transformation. then z=(x-mean)/S.D. = (x-30)/15 z(mean) = (30-30)/15= 0 z(sigma) = 15/15 = 1 Note: Shape does not change.
Final answer:

The distribution of the z-scores for the time it takes to solve a crossword puzzle that is strongly skewed to the right with a mean of 30 minutes and a standard deviation of 15 minutes can be calculated using the formula z=(x-mean)/standard deviation. Z-scores can be used to determine how far a data point is from the mean in terms of standard deviations.

Explanation:

The distribution of the time it takes for different people to solve a certain crossword puzzle is strongly skewed to the right, with a mean of 30 minutes and a standard deviation of 15 minutes. The distribution of z-scores for those times can be calculated using the formula:



z = (x - mean)/standard deviation



For example, if a person takes 45 minutes to solve the puzzle, the z-score would be:



z = (45 - 30)/15 = 1



This means that the person's time is one standard deviation above the mean.

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Which row in the chart correctly identifies the functions of structures A, B, and C? *
(has to no more than one option)
Row 1
Row 2
Row 3
Row4

Thx so much :)

Answers

Structure A is used for (4) cell communication. The cell membrance has receptros for cell communcation.
Structure B is used to (1) extract energy from nutrients. The mitochondria is the power house of the cell.
Structure C is used for (1) protein synthesis. The golgi apparatus is where protein is created.
Final answer:

The correct row in the chart that identifies the functions of structures A, B, and C is Row 3. In Row 3, A is responsible for photosynthesis, B transports water and nutrients, and C provides structural support.

Explanation:

The correct row in the chart that identifies the functions of structures A, B, and C is Row 3.

In Row 3, A is identified as the structure responsible for photosynthesis, which is the process by which plants convert sunlight into energy. B is identified as the structure that transports water and nutrients from the roots to the rest of the plant, and C is identified as the structure that supports the plant and provides structural stability.

-4(w+3)+5w what is this answer

Answers

The answer is of your question is 
w-12
download photo math it has a X with a red color as the background

Find the sum of the polynomials below: (7x8 + 3x - 3) + (4x8 + 2x + 5)

Answers

7x^8+3x-3
+4x^8+2x+5
=11x^8+5x+2

The population of Columbus, Ohio in 2014 was about 823,000. The population of the United States was 319 million in 2014.

About how many times larger was the population of the United States than the population of Columbus, Ohio?

Please show how you got answer.

Answers

387.606318348 times larger because 319 million divided by 823,000 is 387.606318348

A certain stock gained 5 points in one day and lost 4 points the next day. Which situation has the greater absolute value?Explain

Answers

Im not sure or stock meaning but if it's about banks then if it gets higher that means you toke money from it and at the next day you gave them back a value less what you took

Write and solve an equation to solve the problem. Lisa is 4 centimeters taller than her friend Ian. Ian is 8 centimeters taller than Jim. Every month, their heights increase by 2 centimeters. In 4 months, the sum of Ian's and Jim's heights will be 140 centimeters more than Lisa's height. How tall is Ian now? Let h be Ian's height today in centimeters.
(h + 8) + (__) + 8 = ( __) + 8 + 140

Ian is __ centimeters tall now.

Answers

Let the actual heights of Lisa, Ian and Jim be L, I and J.

i) "Lisa is 4 centimeters taller than her friend Ian." means: L=4+I

ii) "Ian is 8 centimeters taller than Jim." means: I=8+J, thus J=I-8

so the heights of Lisa, Ian and Jim are  4+I, I and I-8, respectively.



Since their heights increase by 2 cm, in 4 months, their heights increase      2 cm*4 = 8 cm.

Thus, after 4 months the heights of Lisa, Ian and Jim become:

4+I +8, I+8 and I-8+8 that is  I + 12, I+8, I.


In 4 months, "the sum of Ian's and Jim's heights will be 140 centimeters more than Lisa's height. " mean:

(I+8)+I=140+(I+12)

2I+8=152+I

I=152-8=144


This solution made use of writing all the ages in terms of Ians current age.

Is the remainder supposed to be this big of a number? Did I mess something up?

Answers

What math is this?...........
Assuming you got a remainder of 176, then you have the correct answer. Nice work. It's perfectly possible to get large values for a remainder.

Side Note: you also have the correct quotient as well

please help asap need for test
What is the m∠ABC?

m∠ABC = 15°
m∠ABC = 45°
m∠ABC = 60°
m∠ABC = 75°

Answers

m?ABC = 60° Looking at the diagram, you have triangle ABC. For m?BAC you are given a value of 75°, m?ACB is a supplementary angle to 135° which means it has a value of 180° - 135° = 45°. Finally, ?ABC is the 3rd angle of triangle ABC. Since all the angles in a triangle add up to 180°, you simply need to do the subtraction. 180° - 75° - 45° = 60° Therefore m?ABC = 60°

Answer:

60 my vros                

Step-by-step explanation:

Please help!! I'm giving brainliest!!Suppose the number of students who prefer classical music is 64. What would be the relative frequency? Round the answer to two decimal places if needed.
(1 point)
A.0.64 B.0.25
C.0.09
D.0.11

Answers

So first we need to find approximately the number of total students.

Rock I would say is about 200 people. Country, 100, Rap, 255, Classical, 64 as said before, and Blues, 80.

So if we add these all up we can find the total students.

200 + 100 + 255 + 64 + 80

699

Now the relative frequency is how many times something appears in a group.

Classical appears 64 times in about 700 people.

So, 64/700, is closest to the 0.9 selection.

Answer:0.9

Step-by-step explanation:

test

The permiter of a triangle is 100 feet. the longest side is 3 feet less than twice the shortest side, and the third side is 7 feet longer than the shortest side. find the lengths of the sides of the triangle

Answers

let the shortest side be 's'
           longest side be ' l '
            and the third side be ' t'

P = s + l + t
P = 100

l - 3 = 2s
l = 2s + 3--- the longest side is 3 feet less than twice the shortest side

t= 7 + s ---- the third side is 7 feet longer than the shortest side

sub in (2s + 3) for l and (7 + s) for t

P = s + l + t
P = s + 2s + 3 + 7 + s
P = 100
100 = s + 2s + 3 + 7 + s
100 = 4s + 10
4s = 100 - 10
4s = 90
s = 90/4
s = 22.5

P = s + l + t
100 = 22.5 + l + t
100 - 22.5 = l + t
77.5 = l + t

from the previous equation we know l = 2s + 3
 we'll plug in l into 77.5 = l + t

77.5 = 2s + 3 + t
we know s = 22.5

77.5 = 2(22.5) + 3 + t
77.5 = 48 + t
t = 77.5 - 48
t = 29.5

l = 2s + 3
l = 2(22.5) + 3
l = 48


the lengths are 22.5, 29.5 and 48


You have one liter of lemonade concentrate that contains 10% sugar. you pour one fourth of it into a pitcher and you add water to make the final volume one liter, what is the percentage of sugar in the new pitcher?

Answers

Originally:
Total liquid volume = 1 L
Sugar volume  = 10% of 1L = 0.1 L

Finally:
Sugar volume = (1/4) of 0.1 L = 0.025 L
Total liquid volume = 1 L
Percentage of sugar = 100*0.025 = 2.5%

Answer: 2.5%

5. A packet of razors and a bar of soap cost £5.50. If the soap costs £2.50 less than the razors, find the cost of each.

Answers

Let the cost of soap be x,
cost of razors = x + 2.5
total cost = 2x + 2.5
2x + 2.5 = 5.5
2x = 3
x = 1.5
cost of razors = 1.5 + 2.5
= 4

The cost of the packet of razors and bar of soap is £4.00 and £1.50 respectively.
R+s=5.5
R-s=2.5
Adding both
2r=8
R=4
S=5.5-4=1.5

A teacher had $57.72 in his checking account. He made a deposit of $209.54. Then he wrote a check for $72.00 and another check for $27.50. What is the new balance in his checking account?

Answers

167.76 remaining in the account 
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