In the diagram, what is the measure of ZWRS?
Z

(5x)"
R
075
(25x + 30)
0 25°
w
0 37.59
s

In The Diagram, What Is The Measure Of ZWRS?Z5(5x)"R075(25x + 30)0 25w0 37.59s

Answers

Answer 1

Answer:

WRS=25 degree

Step-by-step explanation:

Angle VRT + angle TRS = 180 degree (supplementary angles)

5x+25x+30=180

5x+25x=180-30

30x=150

x=150/30=5

Substituting x=5 into angle VRT

5(5)=25

VRT= 25 degree

Looking at the diagram, angle VRT and angle WRS are vertically opposite angle and are therefore equal.

Now, angle WRS= 25 degree

Answer 2

The measure of the angle of intersecting lines ∠WRS = 25°

What are the angles formed by 2 intersecting lines?

Two straight lines that intersect at the same location are said to be intersecting lines. The junction point is the place where two intersecting lines meet. Four angles are created when two lines cross. The four angles added together always equal 360 degrees.

Perpendicular lines are two straight lines that intersect and form right angles. When two perpendicular lines intersect, they form four right angles.

When lines intersect, two angle relationships are formed:

Opposite angles are congruent

Adjacent angles are supplementary

Given data ,

Let the two intersecting lines be a and b

where the measure of ∠SRT = ( 25x + 30 )°

The measure of angle ∠VRT = ( 5x )°

And , the measure of ∠VRT = measure of ∠WRS ( Opposite angles are congruent )

And , the measure of ∠VRT + measure of ∠SRT = 180° ( angles in straight line )

So , 5x + 25x + 30 = 180

30x = 150°

Divide by 30 on both sides , we get

x = 5

Now , the measure of ∠WRS = [ 5 ( 5 ) ] °

Hence , the measure of angle ∠WRS = 25°

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Related Questions

THIS PERSON NEED HELPPPPPP! BRAINLIEST IF U ANSWER NICELY AND A WHOLE 28 POINTSS!

Answers

Answer:

Step-by-step explanation:

Step 6: as the line on the line graph moves from left to right, the line falls.

step 7: (idk)

Answer:

See answer for Step 6 below.

Step 7: the slope is "-1/2" (negative 1/2)

Step-by-step explanation:

Step 6: A negative slope means that as the value of the coordinate "x" increases,the value of the coordinate "y" decreases, and the rate of change for points on the line is therefore negative. The line goes "DOWN" as you read the graph from left to right.

In order to calculate the slope, we can use the triangle defined by the points (0, 5), (4, 3)  and (0, 3) as shown in the attached image:

Where the "run" is from 0 to 4 , that is:  4 - 0 = 4

and the rise is negative (from 5 to 3: that is 3 - 5 = -2

Therefore, the rise over the run becomes: -2 / 4 = -1/2

pls help im having such a bad day already and i get yelled at 24/7

Which of the following is equivalent to the expression
(3x - 1)(2x + 4)?

A.
B.
C.
D.

Answers

Answer:

sis you dont have anything for abcd their blank. can you fix it so i can give you the correct answer

Step-by-step explanation:

Answer:

6 x ^2  +  10 x  − 4

Step-by-step explanation:

Expand The Polynomial Using The Foil Method.

6 x ^2  +  10 x  − 4

Which point on the coordinate plane is at (1,3)?

A) point A

B) point B

C) point C

D) point D


Answers

Answer:

b

Step-by-step explanation:

Start at the origin.  Go the right 1 unit.  Then go up 3 units

You are at Letter B

The answer is point B

Find the measurements of ∠ and ∠.

Answers

Answer:

m∠ FAE = 20°, m∠ CAD = 60°

Step-by-step explanation:

If you take a look at the picture below, this explanation proves that the measure of FAE ⇒ 20°, and m∠ CAD = 60°;

A cylinder has a radius of 12m and a height of 30m. Find the surface area and volume

Answers

Answer:

Surface Area: 1008π OR 3166.73

Volume: 4320π OR 13,571.68

Step-by-step explanation:

Surface Area Equation:

2πrh+2πr^2

Work:

2π (12) (30) + 2π12^2

2π(360) + 2π(144)

720π + 288π

1008π OR 3166.73

Volume Equation:

πr^2h

Work:

π12^2 (30)

π144 (30)

4320π OR 13,571.68

Consider the expression below


Which two numbers will go with this equivalent expression in factored form


? { 10+ ? ]


5 7 25 30 35 40

Answers

This one is my real answer 5{10+3]=40 The other one you can use for extra this one 5{10+25]=35

IT'S FINALS TIME- PLEASE HELP

Answers

Answer:

It is 42 degrees! Hope this helps!

Step-by-step explanation:

A deck of cards contains 52 different cards. The probability of drawing a queen of hearts is 1/52. What type of probability is this ? A. Theoretical probability B. Empirical probability C. Random probability D. Fractional probability​

Answers

Answer:

Theoretical Probability

Step-by-step explanation:

This is because as a theory, without doing any testing, this is what is expected. A theoretical probability is based on the mathematics.

A chemical compound has a freezing point of -5°C and a boiling point of 97°C. What is the difference between the freezing point and the boiling point of the chemical compound?

Answers

Answer: The answer is

102

Step-by-step explanation:

102 is the answer to your question ...

Choose the system of equations that matches the following graph:

3x + 4y = 24
3x + y = −3

3x + 4y = 24
3x − y = 3

3x − 4y = −24
3x + y = −3

3x − 4y = −24
3x − y = 3

Answers

One of the lines passes through points (0, 6) and (-4, 3). Hence the equation is given by:

(y - 6)/(x - 0) = (3 - 6)/(-4 - 0)

(y - 6)/x = -3/-4 = 3/4

4(y - 6) = 3x

4y - 24 = 3x

3x - 4y = -24

The other line passes through points (0, -3) and (1, 0). Hence the equation is given by:

(y - (-3))/(x - 0) = (0 - (-3))/(1 - 0)

(y + 3)/x = (0 + 3)/1

y + 3 = 3x

3x - y = 3

Therefore, the system of equations representing the graph is:

3x - 4y = -24

3x - y = 3

Was this helpful?

idk this pls help don’t understand...

Answers

130 degrees because x would be 60. 60-10 would be 50 which would make both angles add up to 180.

Answer: The measure of angle TRV is 130 degrees.

Step-by-step explanation:

(x - 10) +  (2x +10) =180

3x = 180

x= 60

2(60) + 10  = 130

−5y+8x=−18
5y+2x=58
Solve the system of equations.

Answers

Answer:

1:   −5y+8x=−18  

Slope = 3.200/2.000 = 1.600

 x-intercept = -18/8 = -9/4 = -2.25000

 y-intercept = 18/5 = 3.60000

2:   Slope = -0.800/2.000 = -0.400

 x-intercept = 58/2 = 29

 y-intercept = 58/5 = 11.60000

Step-by-step explanation:

1: Step  1  :

Equation of a Straight Line

1.1     Solve   -5y+8x+18  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  -5y+8x+18  = 0 and calculate its properties

Graph of a Straight Line :

 

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 18/5 so this line "cuts" the y axis at y= 3.60000

 y-intercept = 18/5  =  3.60000  

Calculate the X-Intercept :

When y = 0 the value of x is -9/4 Our line therefore "cuts" the x axis at x=-2.25000

 x-intercept = -18/8 = -9/4  = -2.25000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 3.600 and for x=2.000, the value of y is 6.800. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 6.800 - 3.600 = 3.200 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

2: Same thing

There are 90 penguins in a zoo. There are two types - Humboldt and Emperor.
52 are female, of these 6 are Emperor penguins.
There are 5 male Emperor penguins.
Use this information to complete the frequency tree.
Humboldt penguins
Emperor penguins
Male
Female
Humboldt penguins
Emperor penguins

Answers

Answer:

See below.

Step-by-step explanation:

Humboldt penguins; 90 - (5 + 6) = 79.

Emperor penguins: 5 + 6 = 11.

Total Male: 90 - 52 = 38.

Male Humboldt penguins: 38 - 5 = 33.

Total Female: 52.

Female Humboldt penguins: 52 - 6 = 46.

We can solve this by creating an attribute table.

                                 HUMBOLDT          EMPEROR          TOTAL

MALE                             33                          5                         38

FEMALE                         46                          6                         52

TOTAL                            79                           11                        90

What is attribute table?

An attribute table is a  database or tabular file containing information about a set of geographic features, usually arranged so that each row represents a feature and each column represents one feature attribute.

Learn more about attribute table here

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I need to know answer to the quest

Answers

Answer:

1 and 1/16 gallons

Step-by-step explanation:

1/1/16 that’s the answer

Whats the answers for questions 3​

Answers

Answer:

?

Step-by-step explanation:

67 2 3 % of the animals at an animal shelter are dogs. About what fraction of the animals at the shelter are dogs?

Answers

Answer:

About 2/3 of the animals at the shelter are dogs

Step-by-step explanation:

Let's first transform the mixed number to the corresponding improper fraction.

67 2/3 is equivalent to (3*67 + 2)/3 = 203/3

we are asked to find a fraction equivalent to 203/3%. To do this, we have to divide the fraction by 10, as follows:

203/3% = (203/3)*(1/100) = 203/300 ≈ 2/3

A cardboard box is 18 feet long, 7 feet wide, and 6 inches high. What is the is closest to the volume of the box in cubic YARDS? 20 points

Answers

Answer:

The volume of the box is [tex]2.33\ \text{yards}^3[/tex].

Step-by-step explanation:

We have,

Length of a cardboard box is 18 feet

Width of cardboard box is 7 feet

Height of a cardboard box is 6 inches

The conversion from one units and another is as follows :

1 foot = 0.334 yards

18 feet = 6 yards

7 feet = 2.334 yards

1 inch = 0.0277 yards

6 inches = 0.1667 yards

Now,

Length, l = 6 yards

Width, b = 2.334 yards

Height, h = 0.1667 yards

The box in the form of cuboid. The volume of a cuboid shaped object is given by :

[tex]V=l\times b\times h[/tex]

Plugging all the values, we get :

[tex]V=6\times 2.334\times 0.1667\\\\V=2.33\ \text{yards}^3[/tex]

So, the volume of the box is [tex]2.33\ \text{yards}^3[/tex].

Need help!!! Answer asap!!

Answers

Answer:

Step-by-step explanation:

You must assume that N is the center of the circle.

NTP  is a right triangle.

NM is the radius

NT is also a radius

The area of the circle is 25pi

25 pi = pi r^2

r^2 = 25

r = 5

The right angle triangle can be solved by

PT^2 + NT^2 = (r + 4)^2

PT^2 + 25 = (5+4)^2

PT^2 + 25 = 81

PT^2 = 56

PT = sqrt(56)

PT = 7.48

PLEASE ANSWER THIS QUESTION ILL MARK YOU AS THE BRAINLIEST

Answers

Answer:

answer3

beacuse to find the x-intercept, substitute in  0  for  y  and solve for  x .

Answer 3 is the right answer

I need help on the second one

Answers

Answer:

See explanation

Step-by-step explanation:

First, let's convert feet to miles.

[tex]\dfrac{63,756 \text{ feet}}{1}\cdot \dfrac{1 \text{ mile}}{5,280 \text{ feet}}=12.075\text{ miles}[/tex]

Next, let's convert minutes to hours.

[tex]\dfrac{70 \text{ minutes}}{1}\cdot \dfrac{1\text{ hour}}{60\text{ minutes}}=\dfrac{7}{6}\text{ hours}[/tex]

Finally, let's find the unit rate.

[tex]\dfrac{12.075\text{ miles}}{\frac{7}{6}\text{ hours}}=10.35\text{ mph}[/tex]

Hope this helps!

8(–5 + v) = 96
Solve 2-step equations

Answers

Answer:

v = 17

Step-by-step explanation:

8(-5 + v) = 96

Distributive property

-40 + 8v = 96

8v = 136

v = 17  

Increase £180 by 10%

Answers

Answer:

£ 198

Step-by-step explanation:

10% of 180 = 18

180 + 18 = 198

Answer:

£198

Step-by-step explanation:

[tex]180 \times \frac{10}{100} \\ = 18 [/tex]

[tex]180 + 18 = 198[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

if the manufacturer makes 1500 beanbag chairs per day, how many of those chairs would they expect to be understuffed?​

Answers

Answer:

15 will be understuffed

Step-by-step explanation:

Answer:75 would be under stuffed

Step-by-step explanation:

Consider the function: f(x) = 2x^2 - 1.5x - 5 and its graph.

If the graph of f(x) is:

(i) first translated 2 units in the positive x direction and 3 units in the positive y

direction

(ii) then, stretched vertically by a factor of 2

(iii) and then reflected across the x-axis

What is the resultant function in standard form and its graph?

Answers

Answer:

f(x) = -4x² + 19x - 18

Step-by-step explanation:

[tex]f(x) = 2x^2 - 1.5x - 5[/tex]

i) If it is translated 2 units in the positive x direction, therefore we use f(x-2)

[tex]y=f(x-2) = 2(x-2)^2 - 1.5(x-2) - 5\\y = 2(x^2-4x+4) - 1.5x+3 - 5\\y=2x^2-8x+8-1.5x+3-5\\y=2x^2-9.5x+6[/tex]

f(x) = 2x² - 9.5x + 6

If it is then translated 3 units in the positive y, we add 3 to the input function to get:

[tex]y=f(x)+3=2x^2-9.5x+6+3\\y = 2x^2-9.5x+9[/tex]

ii) stretched vertically by a factor of 2, we multiply the function by 2 to get:

[tex]y =2( 2x^2-9.5x+9) = 4x^2-19x+18\\y= 4x^2-19x+18[/tex]

iii) reflected across the x-axis

we multiply the parent function by –1, to get a reflection about the x-axis.

[tex]y= -1(4x^2-19x+18)=-4x^2+19x-18\\y=f(x)=-4x^2+19x-18[/tex]

aiden and 5 friends went out for chicken and soda. the total cost of the soda was $7. if each person paid $14, what was the total cost of the fried chicken

Answers

Answer:

63$...I think

Step-by-step explanation:

if there was 5 friends and each paid 14$ the total must have been 70$. However, since the soda was 7$, then if you take away 7$ from the total, then the chicken must have been 63$

I don't know, man. Math isn't really my strongest suit, but I hope this helps :D

Answer:

$77

Step-by-step explanation:

Each person paid $14

Aiden+5 friends= 6 people

$14×6= $84

total cost of soda was $7

$84-$7= $77

If x varies directly as y, and x = 200 when y = 11, find y when x = 500. Please algebraic solution :) thanks!

Answers

Answer:

x ⠀⠀200⠀⠀ ⠀500

y⠀⠀⠀ 11⠀⠀⠀⠀⠀a

As x directly varies with y

200 × a = 500 × 11

a = 5/2 × 11 = 27.5

Answer:

y = 27.5

Step-by-step explanation:

We know that directly proportional equations usually come in the format of  

y =  k × x  where 'k' is the constant. In this problem we are presented with a directly proportional questions asking us to find y when x= 500 considering that y varies directly with x and x = 200 when y = 11. So let's substitute in the values

→ y = k × x

⇒ Substitute in the first set of values which is x = 200 and y = 11

→ 11 = k × 200

⇒ Divide both sides by 200 to isolate 'k'

→ 0.055 = k

Now we know that the constant is 0.055 we can substitute the second set of values in,

→ y = 0.055 × x

⇒ Substitute in the second value which is x = 500

→ y = 0.055 × 500

⇒ Simplify

→ y = 27.5

If y varies directly with x and x = 200 and y = 11, the value of y when x = 500 is 27.5

How does the circumference of circle E compare to the circumference of circle C? Complete the explanation.

Answers

Answer:

1/8

Step-by-step explanation:

It's 1/8 because you're halving the radius 3 times. and 1^-3 is 1/8

Answer is in the file attached below. But basically its 1/4 on both sides.

Hope this helps!

A $25.00 shirt is on sale. how much does it cost at
10% off
20% off
40%off
50%off
do all % please
if u get them right i need help with more

Answers

Answer50% = 12.5

Step-by-step explanation:

Answer:

Im too lazy to put here

Step-by-step explanation:

10% off --> 90% the actual cost

25 x 90% = 22.50

$22.50

20% off --> 80% the actual cost

25 x 80% = 20.00

$20.00

30% off --> 70% the actual cost

25 x 70% = 17.50

$17.50

40% off --> 60% the actual cost

25 x 60% = 15.00

$15.00

50% off --> 50% the actual cost

25 x 50% = 12.50

$12.50

Help with my homework please

Answers

Answer:

I hope it was helpful to you

I it was helpful follow me

Answer:

12×5=60

60÷2=30

area=30cm²

Step-by-step explanation:

PLEASE I REALLY NEED HELP ILL 5 STAR THANK AND BRAINLIEST YOU!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Last year, the school library had a total of x books. Over the summer, the library acquired another 37 books and now has a total of 1,950 books. Which equation could be used to find x, the number of books the library had last year?
A.
1,950 + x = 37
B.
x + 37 = 1,950
C.
x - 37 = 1,950
D.
37x = 1,950

Answers

Answer:

its B

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is B. X+37=1,950

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