Quadrilateral W X Y Z is shown. Diagonals are drawn from point W to point Y and from point Z to point X and intersect at point C. Line segments Z C and C X are congruent. The length of W C is 2 x + 5 and the length of C Y is 3 x + 2. In quadrilateral WXYZ, WC = 2x + 5 and CY = 3x + 2. What must x equal for quadrilateral WXYZ to be a parallelogram? x =

Answer:

1. Option B- y=12

2. Option D - 2

Step-by-step explanation:

1. 2(y - 4) + 8 = 12 + y

  2y - 8 + 8 = 12 + y

add like terms -8 + 8 is 0 so

2y = 12 + y

Subtract y

1y = 12

Divide by 1

y= 12

2. -4(2) - 6  > -14

    -8 - 6 > -14

      -14 > -14

    This is not true because -14 is not greater than -14, they are equal.

Hope this helps.

Answer:

4.116 × 108

Step-by-step explanation:

I simply used a Scientific Notation Converter

Answer:

The answer would be 4.116 x 10 exponent of 8

Step-by-step explanation:

In scientific notation, the answer has to be between 1-10, so to make this number between one and ten, you must create a decimal behind the number in the one's place and move it until you get to the first number (in this case, you would move it eight times, so your equation would be 4.116 x 10 to the eight power (exponent of eight). If you need to round the number to the tenth place, it's 4.1 x 10^8

Hope this helps!

Answer: B. Medium

Step-by-step explanation:

A.P.E.X

Answer:

A Medium

Step-by-step explanation:

AP. EX

Answer:

125*125

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

you can't simplify it anymore no matter how low of a number you simplify it by

Answer:

the answer is true

Step-by-step explanation:

If the shape is in the upper left quadrant then you reflect it across the x-axis it would be in the lower left quadrant, next you reflect across the y-axis it would be in the lower right quadrant, finally, if you rotate it 180 degrees it would be where it started.

Answer:

it's correct because even though rotating 90° is not the same as reflecting about the y-axis, when you reflect again about the x-axis, it becomes the same as reflecting an additional 90°.

so reflecting about y and then about x is the same as rotating 180°.

Step-by-step explanation:

if you reflect (x, y) in 180° it becomes (-x,-y)

when you reflect about the y-axis, (x,y) becomes (-x,y).

when you reflect again about the x-axis, (-x,y) becomes (-x,-y) which is the same as the 180°

Answer:

(0, 1)

Step-by-step explanation:

(x, y)

Left and Right movement deals with the x value

Up and Down movement deals with the y value

3 units left = -3

4 units up = +4

(x - 3, y + 4)

(3 - 3, -3 + 4)

(0, 1)

The image point of (3, -3) after a translation of [tex](-3, 4)[/tex] is [tex](0,1)[/tex].

Geometrically speaking, a translation is determined by following formula:

[tex]V'(x,y) = V(x,y) + T(x,y)[/tex] (1)

Where:

If we know that [tex]V(x,y) = (3, -3)[/tex] and [tex]T(x,y) = (-3, 4)[/tex], then the coordinates of the resulting point are, respectively:

[tex]V'(x,y) = (3, -3) + (-3, 4)[/tex]

[tex]V'(x,y) = (0, 1)[/tex]

The image point of (3, -3) after a translation of [tex](-3, 4)[/tex] is [tex](0,1)[/tex]. [tex]\blacksquare[/tex]

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Answer:

92 degrees

Step-by-step explanation:

<HEF and <AED are vertical angles.

Answer:

About 0.080 ounces

A nickle weighs exactly 5.00 grams,

A cent weighs exactly 2.50 grams,

and so on...

Answer:

According to the pattern, Samuel will swim 64 laps on Monday.

The pattern rule: Start at 88 and subtract 8 each time.

Explanation:

There is a clear pattern. 88 - 80 - 72. The number 8 is subtracted each time day after day. Since he is doing 8 laps less each day, it can be assumed that we subtract 8 from Sunday, which is 72.

72 - 8 = 64

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Answer:

64 Laps

Step-by-step explanation:

It looks like the Samuel swam 8 less laps than the previous day.

88 - 8 = 80

80 - 8 = 72

So, we sohuld subtract 8 from 72.

72 - 8 = 64

Samuel should swim 64 laps on Monday.

Hope this helps!

Answer: 2-4= -2

Step-by-step explanation: hope it helps

Answer: (0 + 2) + ( 2 - 4)

Step-by-step explanation:

Answer:

A C D F

Step-by-step explanation:

edg 2020

Answer:

3/4 or 3 quarters or 3 4ths

Can I get brainliest?

~Hope this helps!! Stay safe!~

Answer: I got 3/4? I hope it's correct T v T

Step-by-step explanation:

Kayle is 27 Jay is 46

Answer:

63

Step-by-step explanation:

Just subtract.

The area of the rectangle in meters = 8x 23 = 184 square meters.

The area of one board = 1.2 x 1 = 1.2 square meters

Total area of all the boards = 1.2 x 150 = 180 square meters.

180 is less than 184 so she does not have enough boards.

173 cannot be an interior angle of any regular polygon because the number of sides would be negative.

The formula that can be used to determine one of the one interior angle of an n-sided polygon is  [180(n−2)]/n .

In order to determine the value of n, take the following steps:

[180(n - 2) ]/ n = 173

Multiply both sides of the equation by n

180(n - 2) = 173n

Divide both sides by 180

n - 2 = 0.961111n

Combine similar terms

n - 0.96n = 2

0.038889n = 2

n = 51.4

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Answer:

41 cartons will be needed

Step-by-step explanation:

here, we need to know the number of cartons the farmer needs to hold all the eggs

To calculate this, we simply make a division of the number of eggs by the number of eggs in a carton

That would be 1957/48 = 40.77

The closest number of cartons here is 41

Replace x with 1/4 and solve:

12(1/4) - 2

3-2 =1

The answer is 1

Answer:

the answer is 1

Step-by-step explanation:

g(1/4)=12(1/4)-2

=12/4-2

=3-2

=1

Answer:

10/12 =5/6

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

I believ you meant what is the simplest version of that fraction and that would be 5/6. Both 10 and 12 are divisable by 2 and 5 can not be reduced

Answer:

Scott gained 18 yards every quarter

Step-by-step explanation:

72 divided by 4 is equal to 18, so every 1/4 of a season he gained 18 yards.

Answer:

319.68

Step-by-step explanation:

Answer:

The slope is 2.

Step-by-step explanation:

If you use the formula that is shown in the picture, you can calculate that 12-4/6-2 is the slope. If you simplify, you'll get that 8/4 is the slope which simplifies to 2.

Answer:

Mild Intermittent Asthma – No more than 2 Symptoms per week, no problems in between attacks which only last a few hours to at most a few days, less than 2 nighttime episodes per month.

Mild Persistent Asthma – Symptoms happen at least 2 a week but not more than once a day.

Moderate Persistent Asthma – There are symptoms every day and because of that you have to use rescue medication every day as well.

Severe Persistent Asthma – You can’t do that much physical activity and always have to carry around and often use a rescue device.

Step-by-step explanation:

Answer:

bop

Step-by-step explanation:

Answer:Section 6.1

Solutions and Hints

by Brent M. Dingle

for the book:

Precalculus, Mathematics for Calculus 4

th Edition

by James Stewart, Lothar Redlin and Saleem Watson.

If you remember nothing else from this section remember:

arc length = radius * angle

s = r * q

where the angle, q, is measured in radians.

There are other formulas, but that one is pretty important.

48. A circular arc of length 3 feet subtends a central angle of 25.

Find the radius of the circle.

Start with s = r*q , s = 3 feet, q = 25 = 25*(p/180) = (5/36)p radians

3 = r * (5/36)p Å 3*(36/5) = r*p Å 21.6 = p*r Å r = 21.6/p feet

52. Memphis, Tennessee and New Orleans Louisiana lie approximately on

the same meridian. Memphis has latitude 35 N and New Orleans 30 N.

Find the distance between the cities, given the radius of the earth is

3960 miles.

Again start with s = r*q,

with r = 3960 miles and q = 35 – 30 = 5 = 5*(p/180) = (1/36)p.

and we need to find s = arc length = distance between the cities.

s = 3960*(1/36)p = 110p miles.

60. A sector of a circle of radius 24 miles has an area of 288 square miles.

Find the central angle of the sector.

For this you need a new formula.

The area of a sector of circle = A = ½*r

2

*q ,

where q is the central angle of the sector measured in radians

and r of course is the radius of the circle.

For this problem r = 24 miles, A = 288 sq. miles and we need to find q.

288 = (½)*24

2

*q Å 288 = 288*q Å 1 radian = q (or about 57.3)

62. Three circles with radii 1, 2 and 3 feet are externally tangent to one

another. Find the area of the sector of the circle of radius 1 that is

cut off by the line segments joining the center of that circle to the

centers of the other two circles.

So you start out with:

Notice you know the length of ALL the sides of the triangle, because you know

the radius of each circle. From this you might discern that: 5

2

= 3

2

+ 4

2

. Thus you

have the (length of the hypotenuse)

2

= (length of side A)

2

+ (length of side B)

2

.

And from that you may conclude the triangle is a right triangle, or rather the angle

we are interested in is 90. Thus we use the area formula given in the text:

The area of a sector of circle = A = ½*r

2

*q ,

For this problem r = 1 foot, q = 90 = p/2, and we need to find A

A = ½ * 1

2

* p/2 = p/4 square feet.

Step-by-step explanation:

The linear speed of a point on the equator in miles per hour is 1037 mph. Therefore, option D is the correct answer.

Given that, the radius of the earth is approximately 3960 miles.

Linear speed is the measure of the concrete distance travelled by a moving object. The speed with which an object moves in the linear path is termed linear speed. In easy words, it is the distance covered for a linear path in the given time. Linear Speed Formula is articulated as s=rθ/t.

Any point in the equator would complete a 360° or 2π, revolution in 24 hours. Therefore, the linear speed would be s=rθ/t.

where r is the radius of the Earth and θ is the angular distance (in rad) after time t

Hence, the linear speed would be

s= (3960×2π)/24

= (3960×2×3.14)/24

= 24868.8/24

= 1036.7

≈1037 mph

The linear speed of a point on the equator in miles per hour is 1037 mph. Therefore, option D is the correct answer.

Learn more about the linear speed here:

https://brainly.com/question/13100116.

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Answer:

Step-by-step explanation:

from the graph above the non linear paths are the curves on the Cartesian plain

on the y-axis, you'll get to see the curve there for the the values for x and y intervals are at their maximum, which in range is 6<x<9

Answer:

-7x + 6

Step-by-step explanation:

Answer:

231

Step-by-step explanation:

5.46+1

230+1

231

answer this?

Answer:

yes

Step-by-step explanation:

Equate 5n + 1 and 46 to find n, that is

5n + 1 = 46 ( subtract 1 from both sides )

5n = 45 ( divide both sides by 5 )

n = 9

Thus 46 is the ninth term in the sequence