What is the value of y?

Answer:

True

Step-by-step explanation:

True, because a polygon have all angles that are equal and all lengths are the same length.

Answer:

x=14

Step-by-step explanation:

x+7=21

x=14

Answer:

y = -2/13

Step-by-step explanation:

-5 + 13y = -7

Add 5 to each side

-5+5 + 13y = -7+5

13y = -2

Divide by 13

13y/13 = -2/13

y = -2/13

Answer:

4m−3(2m + 1)

= 4m - 3*2m - 3*1

= 4m - 6m - 3

= -2m - 3

Hope this helps!

:)

Answer:

-2m - 3

Step-by-step explanation:

Remember to follow PEMDAS. First, distribute -3 to all terms within the parenthesis:

-3(2m + 1) = (-3 * 2m) + (-3 * 1) = -6m + (-3)

4m - 6m - 3

Simplify. Combine like terms:

(4m - 6m) - 3

(-2m) - 3

-2m - 3 is your answer.

~

Answer:

1. 15+63= 78 ft cubed

2. 5.5+33= 38.5 m cubed

Answer:

The ratio is 40/41

Step-by-step explanation:

In this question, we are to find the ratio that represents sine of angle I

Firstly, let’s consider the diagram of the triangle attached.

When we talk of sine, what we mean is the trigonometric identity which measures the ratio of the opposite to the hypotenuse.

Since the angle we are considering is I, the opposite is 40, while the hypotenuse is 41 ( the longest side of the triangle and the side that faces the angle 90, which is the length JI)

Thus,

mathematically sine I = 40/41

Answer:

Step-by-step explanation:

Answer:

Use the formula r = d/t. Your rate is 24 miles divided by 2 hours, so: r = 24 miles ÷ 2 hours = 12 miles per hour. Now let's say you rode your bike at a rate of 10 miles per hour for 4 hours.

Step-by-step explanation:

Answer:

fx) = [tex]3x+4[/tex]

Step-by-step explanation:

1. step:

solve the bracket

fx) = 3([tex]x[/tex] - 1) 2 + 5

[tex]fx) = 3x-1+2+5[/tex]

2. step:

use the BEDMAS form.

fx) = [tex]3x-3+7[/tex]

fx) = [tex]3x+4[/tex]

Answer:

3. Reflexive property of congruence

(since the statement states that a segment is congruent to itself)

4. SSS

(since 3 sides of one triangle are congruent to three sides of the other triangle)

Answer:

The root of -100 is 10i

Step-by-step explanation:

Ten I

Answer:

1. The required information are

The average annual bonuses, [tex]\bar {x}_1[/tex] received by employees from company A

The average annual bonuses, [tex]\bar {x}_2[/tex] received by employees from company B

The standard deviation, σ₁, of the average annual bonuses for employees from company A

The standard deviation, σ₂, of the average annual bonuses for employees from company A

The number of employees in company A, n₁

The number of employees in company B, n₂

2. The null hypothesis is H₀: [tex]\bar {x}_1[/tex] - [tex]\bar {x}_2[/tex] ≤ 100

The alternative hypothesis is Hₐ: [tex]\bar {x}_1[/tex] - [tex]\bar {x}_2[/tex] > 100

Step-by-step explanation:

1. The required information are

The average annual bonuses, [tex]\bar {x}_1[/tex] received by employees from company A

The average annual bonuses, [tex]\bar {x}_2[/tex] received by employees from company B

The standard deviation, σ₁, of the average annual bonuses for employees from company A

The standard deviation, σ₂, of the average annual bonuses for employees from company A

The number of employees in company A, n₁

The number of employees in company B, n₂

2. The null hypothesis is H₀: [tex]\bar {x}_1[/tex] - [tex]\bar {x}_2[/tex] ≤ 100

The alternative hypothesis is Hₐ: [tex]\bar {x}_1[/tex] - [tex]\bar {x}_2[/tex] > 100

The z value for the hypothesis testing of the difference between two means is given as follows;

[tex]z=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\frac{\sigma_{1}^{2} }{n_{1}}-\frac{\sigma _{2}^{2}}{n_{2}}}}[/tex]

At 0.5 level of significance, the critical [tex]z_\alpha[/tex] = ± 0

The rejection region is z > [tex]z_\alpha[/tex] and z < -[tex]z_\alpha[/tex]

Therefore, the value of z obtained from the relation above more than or less than 0, we reject the null hypothesis, and we fail to reject the alternative hypothesis.

Answer:

12.56

Step-by-step explanation:

The arc length of the partial circle is L = 18.849 units

The central angle is an angle with two arms and a vertex in the middle of a circle. The two arms of the circle's two radii intersect the circle's arc at two separate locations. It is an angle whose vertex is the center of a circle with the two radii lines as its arms, that intersect at two different points on the circle.

The central angle of a circle formula is as follows.

Central Angle = ( s x 360° ) / 2πr

where s is the length of the arc

r is the radius of the circle

Central Angle = 2 x Angle in other segment

Given data ,

Let the radius of the circle be r = 4 units

Let the arc length of the circle be L

Let the central angle be = 270°

So , Central Angle = ( s x 360° ) / 2πr

On simplifying , we get

L = ( 270° / 360° ) x 2πr

L = ( 3/4 ) ( 8π )

L = 18.849 units

Hence , the arc length of the circle is 18.849 units

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Pair 2 shows one figure rotated 180 degrees compared to the other, and translated as well. So they are congruent (ie the same).

Pair 4 shows one triangle reflected over the vertical line x = 22 to get the other triangle; which shows they are the same triangle.

The other pairs are not congruent. You can show that the areas of each figure being different is enough to prove they aren't the same figure.

Answer:

D

Step-by-step explanation:

because one side surface area is 8x8=64, and there is 6 sides so 64x6 = 384 units2

Answer:

D. 384 units^2

Step-by-step explanation:

The surface area of a cube can be found using the following formula:

S=6s^2

where s is the side length.

In this case, the side length of the cube is 8 units.

s=8 units

Substitute 8 units in for s.

S=6*(8 units)^2

First, evaluate the exponent.

(8 units)^2=8 units * 8 units= 64 units^2

S=6* 64 units^2

Multiply 6 and 64

S=384 units^2

The surface area of the cube is 384 square units, therefore D. 384 units^2 is correct.

Answer:

b and d

Step-by-step explanation:

Answer:

64cm2

Step-by-step explanation:

(32÷4)=8

8×8=64cm2

Answer:

64cm²

Step-by-step explanation:

perimeter of a square= 4 x side of the square

perimeter= 32cm

i.e side of the square= 32/4

side= 8cm.

Area of square = side of the square ²

=8²

therefore, area of square = 64cm²

Answer: the 90th percentile for recovery times is 8.77 days.

Step-by-step explanation:

Let x be the random variable representing the recovery time of patients from a particular surgical procedure. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 5.7 days

σ = 2.4 days

The probability for the 90th percentile is 90/100 = 0.9

The z score corresponding to the probability value on the normal distribution table is 1.28

Therefore,

1.28 = (x - 5.7)/2.4

Cross multiplying, it becomes

1.28 × 2.4 = x - 5.7

3.072 = x - 5.7

x = 3.072 + 5.7 = 8.77 days

Answer:

w = -3.6

Step-by-step explanation:

→Add like terms (2.3w and -14 w):

-0.05 + 2.3w - 14w = -6.89 - 13.6w

-0.05 -11.7w = -6.89 - 13.6w

→Add 11.7w to both sides:

-0.05 = -6.89 - 1.9w

→Add 6.89 to both sides:

6.84 = -1.9w

→Divide both sides by -1.9:

-3.6 = w

Answer:

[tex] \boxed{w = - 3.6} [/tex]

Step-by-step explanation:

[tex] = > - 0.05 + 2.3w - 14w = - 6.89 - 13.6w \\ \\ = > - 0.05 - 11.7w = - 6.89 - 13.6w \\ \\ = > - 0.05 - 11.7w + 13.6w = - 6.89 \\ \\ = > - 0.05 + 1.9w = - 6.89 \\ \\ = > 1.9w = - 6.89 + 0.05 \\ \\ = > 1.9w = - 6.84 \\ \\ = > w = - \frac{6.84}{1.9} \\ \\ = > w = - 3.6[/tex]

The length of the other base is 4 meters.

It is a quadrilateral that has one pair of parallel sides and a height.

The area is calculated as 1/2 x the sum of the parallel sides x height.

Examples:

Area of a trapezium that has the parallel sides as 3 cm and 4 cm and a heght o 5 cm.

Area = 1/2 x (3 + 4) x 5

Area = 1/2 x 7 x 5

Area = 35/2 = 17.5 cm^2

We have,

The area of a trapezoid.

A = (1/2) h (b1 + b2)

where A is the area, h is the height, b1, and b2 are the lengths of the two bases.

We are given,

h = 8, b1 = 12, and A = 64.

We can substitute these values into the formula and solve for b2:

64 = (1/2)(8)(12 + b2)

Simplifying:

64 = 4(12 + b2)

16 = 12 + b2

b2 = 4

Therefore,

The length of the other base is 4 meters.

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Answer:

Option 1 earns more interest by $2396.13

Step-by-step explanation:

Step 1: Determine the prices

50000(1 + 0.05)^3 = 57881.30

50000(1 + 0.0035/12)^36 = 55527

Step 2: Determine which pays higher

Step 3: Find difference

57881.30 - 55527 = 2396.13

And we have our final answer!

Answer:

The answer is A. 10

Step-by-step explanation:

The two angles are alternate interior angles so they are congruent. Since they are congruent, you can write it in an equation.

5x - 25 = 3x - 5

subtract 3x from each side

2x - 25 = -5

add 25 to each side

2x = 20

divide 2 from each side

x = 10

Also, if you want to check your answer, you can plug 10 back into the equation to see if they're equal.

The relation between the given angles is given by the alternate interior

angles theorem.

If lines p and q are parallel then the value of x is A. 10°

Reason:

The given parameters are;

Condition; Line p, and line q, are parallel.

The angles (3·x - 5)° and (5·x - 25)° are alternate interior angles.

According to alternate interior angles theorem, we have the alternate

angles are congruent, where line p, and line q are parallel.

Therefore;

(3·x - 5)° ≅ (5·x - 25)° By alternate interior angles

(3·x - 5)° = (5·x - 25)° By definition of congruency

Solving, we get;

(3·x - 5)° + 25° = (5·x - 25)° + 25°

3·x + 20° - 3·x = 5·x - 3·x = 2·x

20° = 2·x

[tex]x = \dfrac{20^{\circ}}{2} = 10^{\circ}[/tex]

The correct option is A. 10°

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Answer: £186.89

Step-by-step explanation:

-We are given that each 5l  tin of paint costs £16.99 . We therefore divide the paint used by 5 and multiply by £16.99:

Hence, it will cost £186.89 to buy all the paint

Answer:

=£186.89

Step-by-step explanation:

A=1/2(a+b)h

a||b dimensions

A=1/2(16+10)×7.6

=98.8m²

Given that 1 litre of paint covers an area of 1.9 sq m, we divide the area of the trapezium by this and multiply by the price per liter to get total cost:

paint used= Area/paint m²

98.8/1.9

=52 litres

We are given that each 5l  tin of paint costs £16.99 . We therefore divide the paint used by 5 and multiply by £16.99

52/2

=10.4

11tins

cost=11×16.99

=£186.89

Answer: B. Jersey numbers are nominal data that are just replacements for​ names, so the resulting statistics are meaningless.

Step-by-step explanation:

Given the following list of data:

83 45 80 53 46 24 79 34 55 10 44

Range :

(Highest - Lowest) value

83 - 10 = 73

Sample Variance :

[Summation of (x - mean)^2] / number of observation - 1

Mean = (83+45+80+53+46+24+79+34+55+10+44) / 11

= 553 / 11 = 50.3

Check attached picture for computation of variance and standard deviation.

In football, jersey numbers do not imply any statistical relevance or importance

Answer:

75 Flapjacks

Step-by-step explanation:

You must divide 120 by 600 in order to get your answer. As it says 120 margirine to make 15 flapjacks which is equal to one batch, you must then divide 600 by 120 and then multiply 5 by 15 to get 75. I hope this helped.

(brainliest?)

Answer:

1.2 kilometers per minute; 12 kilometers

Step-by-step explanation:

We know that 60 minutes makes 1 hour.

Therefore, to convert the speed to kilometers per minute, we simply divide 72 kilometers per hour by 60 minutes:

72 / 60 = 1.2 kilometers per minute.

Distance is given as speed multiplied by time.

Therefore, in 10 mins, the car travels:

1.2 * 10 = 12 kilometers.

Answer:

The equations had 2 solutions:

x = 3, y = 25 or x = 7, y = 9

Step-by-step explanation:

(x - 6) x + y = 16,  4 x + y = 37

y = 37 - 4 x

x2-6x+37-4x-16=0

x2-10x+21=0

(x - 7) (x - 3) = 0 -> x =3 or x = 7

Answer:

C. is right on edg.

Begin by studying the pattern.

Here, notice that 1 × -3 is equal to -3.

-3 × -3 is equal to 9.

9 × -3 is equal to -27.

Continuing the same pattern, -27 × -3 is equal to 1.

So the next term in the pattern is 81.

So, we multiply by -3 each time.

Answer:

PERIMETER = 41.73 units

Step-by-step explanation:

To find the perimeter of the triangle, we will follow the  steps below:

Let the coordinate of the triangle be ABC, that is

A(9,0)    B(-5,0)   and   C(-10,6)

We will first find distance AB, BC  and CA using the distance formula

|D| = √(x₂-x₁)² +(y₂-y₁)²

A(9,0)    B(-5,0)

x₁ =9  y₁=0    x₂=-5    y₂=0

substitute the values into the formula

|AB| = √(-5-9)² +(0-0)²

       = √(-14)² +(0)²

       =√196

        =14

|AB| = 14 units

B(-5,0)      C(-10,6)

x₁ =-5  y₁=0    x₂=-10    y₂=6

substitute the values into the formula

|BC| = √(-10+ 5)² +(6-0)²

         =√(-5)² +(6)²

         =√25 + 36

         =√61

         ≈7.81

|BC| ≈7.81 units

C(-10,6)     A(9,0)

x₁ =-10  y₁=6   x₂=9  y₂=0

substitute the values into the formula

|CA| = √(9+10)² +(0-6)²

         = √(19)² +(-6)²

         =√361 +36

        =√397

        ≈19.92 units

|CA|≈19.92 units

Perimeter of triangle = |AB|+|BC|+|CA|

                                  =14+7.81+19.92

                                  =41.73

PERIMETER = 41.73 units

Answer:

The true options are:

2) Has exactly one pair of parallel sides

4) Has exactly one pair of congruent sides

5) Both pairs of opposite sides are congruent

7) There are right angles at all 4 vertices

9) The diagonals are congruent

10) The diagonals bisect each other.