Angle ABC and angle CBD or a complementary what is the value of X

Answer:

Step-by-step explanation: Since the given problem states that the two angles, angle 1 and angle 2 form a linear pair, this means that they form a 180° line, so that:

measure angle 1 + measure angle 2 = 180°

Since measure of angle 2 is six more than twice the measure of angle 1, therefore:

measure angle 2 = 2 (measure angle 1) + 6

hence, substituting this into the first equation:

measure angle 1 + 2 (measure angle 1) + 6 = 180

3 (measure angle 1) = 174

measure angle 1 = 58°

Therefore,

measure angle 2 = 2 (measure angle 1) + 6

measure angle 2 = 2 (58°) + 6

measure angle 2 = 122*

Answer:

b² =  13.2

Step-by-step explanation:

5.8²+b²=14.4²

33.64+b²=207.36

-33.64       -33.65

b²= √173.71

b² = 13.1799089526

b² =  13.2

Answer:

a) 0.3.

b) 1.117287138  to  9 dec. places.

d)3.

Step-by-step explanation:

a and d: the powers 1/3 and 0.333... is  the cube root.

c: 0.5 = the square root.

b is found using a calculator

Question:

Discus the advantages and disadvantages of histograms versus stem-and-leaf plots

Answer:

C. Stem-and-leaf plots are easier to make and and can contain more information than histograms. However, they are not very useful for large data sets

Step-by-step explanation:

A stem and leaf plot is a graphical presentation of quantitative data similar to an histogram. However, a stem and leaf plot retains and present the values of the original in the data set such that individual data values can be seen and can then be used to make analysis

The stem and leaf plot consists of a stem and a leaf  arranged in the order of place value, such that the numbers having a common highest place value are arranged on a row in a stem and leaf plot and therefore a stem and leaf plot is easier to make or construct than an histogram

However, it is very rare to find stem and leaf plots having more than 50 datasets or observations.

Answer:

1) P(none are red) = 51.2%

2) P(third one is the first one that is yellow) = 12.8%

Step-by-step explanation:

We are given;

P(Yellow) = 20% = 0.2

P(red) = 20% = 0.2

P(Orange) = 10% = 0.1

P(Blue) = 10% = 0.1

P(green) = 10% = 0.1

P(brown) = 30% = 0.3

1) Probability that one is not red is;

P(one not red) = 1 - P(red)

P(one not red) = 1 - 0.2

P(one not red) = 0.8

Since 3 are selected, we will apply multiplication rule for independent events to get;

P(none are red) = 0.8 × 0.8 × 0.8

P(none are red) = 0.512

P(none are red) = 51.2%

2) To find the probability, that the third one is the first one that is yellow, we will use multiplication rule for independent events to get;

P(third one is the first one that is yellow)

= (1 - P(Yellow)) × (1 - P(Yellow)) × P(Yellow)

P(third one is the first one that is yellow) = (1 - 0.2) × (1 - 0.2) × 0.2

P(third one is the first one that is yellow) = 0.128

P(third one is the first one that is yellow) = 12.8%

Answer:95

Step-by-step explanation:

Answer:

Venmo mee

Step-by-step explanation:

Answer:

[tex](-9.5,2.63)[/tex]

Step-by-step explanation:

In essence, this problem asks one to find the vertex of the given equation. An easy way to find the vertex of a quadratic equation in standard form is to complete the square.

Completeting the square involves grouping the quadratic and linear term, then factoring out the coefficient of the quadratic term. After doing so, one will add a term to make the grouped terms a perfect square trinomial and then balance the equation. Finally, one will simplify the equation and get the quadratic equation in vertex form. From there, finding vertex is quite easy, the x-coordinate is the additive inverse of the quadratic term, and the y-coordinate is the constant.

Once a quadratic equation in standard form has been converted to vertex form by the process of completing the square, its equation is amongst the lines of the following,

[tex]a(x-k)^2+h[/tex]

(k, h) is the vertex of the parabola.

The quadratic equation in standard form,

[tex]2x^2+19x+42.5[/tex]

Group the quadratic and linear terms,

[tex](2x^2+19x)+42.5[/tex]

Factor out the coefficient of the quadratic term,

[tex]2(x^2+9.5x)+42.5[/tex]

Add a term to make the grouped part a perfect square trinomial, then balance the equation,

[tex]2(x^2+9.5x+22.5625)+42.5-2(22.5625)[/tex]

Simplify,

[tex]2(x^2+9.5x+22.5626)+42.5-45.125[/tex]

[tex]2(x+9.5)^2+2.625[/tex]

The vertex of the equation is the following,

[tex](-9.5,2.625)[/tex]

Rounded,

[tex](-9.5,2.63)[/tex]

Answer:

  -63a+14a+56-3a

= -52a+56

Here we need to use algebraic properties to simplify an expression, we will get:

[tex]7\cdot (-9\cdot a + 2\cdot a + 8) - 3\cdot a = -52\cdot a + 56[/tex]

The mathematical property we need to use is the distributive property.

[tex]A\cdot (B + C) = A\cdot B + A \cdot C[/tex]

So we start with the expression:

[tex]7\cdot (-9\cdot a + 2\cdot a + 8) - 3\cdot a[/tex]

First, we use the distributive property in the first term so we get:

[tex]7\cdot (-9\cdot a + 2\cdot a + 8) - 3\cdot a \\\\= 7\cdot (-9)\cdot a + 7\cdot 2 \cdot a + 7 \cdot8 - 3\cdot a\\\\= -63 \cdot a + 14\cdot a + 56 - 3\cdot a[/tex]

Now we use the distributive property in the other way, we take "a" as a common factor:

[tex]-63 \cdot a + 14\cdot a + 56 - 3\cdot a\\\\= (-63 + 14 - 3)\cdot a + 56\\\\= -52\cdot a + 56[/tex]

Here we got the simplified expression.

If you want to learn more, you can read:

https://brainly.com/question/403991

Answer:

70 degrees

Step-by-step explanation:

Answer:

Angle 1 is 70

Step-by-step explanation:

Because (angle 1 + 31=101) so 101-31= 70

Answer:

10

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

Let the third side be x , then

x² + 6² = (2[tex]\sqrt{34}[/tex] )²

x² + 36 = 136 ( subtract 36 from both sides )

x² = 100 ( take the square root of both sides )

x = [tex]\sqrt{100}[/tex] = 10

The volume (V) of the given cylinder with the height 10 mm and the diameter 14 mm is 1538.6 cubic millimeter.

From the given figure, diameter of a cylinder = 14 mm and height = 10 mm.

Here, radius = [tex]\frac{14}{2}[/tex]

= 7 mm

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

We know that, the formula to find the volume of a cylinder is [tex]\pi r^2h[/tex].

Here, the volume of a cylinder = 3.14×7²×10

= 3.14×49×10

= 1538.6 cubic millimeter

Therefore, the volume (V) of the given cylinder with the height 10 mm and the diameter 14 mm is 1538.6 cubic millimeter.

To learn more about the volume visit:

https://brainly.com/question/13338592.

#SPJ4

we know that

1 ft--------> is equals to 12 in

the ramp is 12 inches tall----------> 1 ft tall

A ramp measures------------------>  6 ft long

applying the Pythagorean theorem

c²=a²+b²

where

c-----> 6 ft long

a----> horizontal distance

b-----> 1 ft tall

a²=c²-b²------> a²=6²-1²-----> a²=35------> a=√35------> a=5.92 ft

the answer is

5.92 ft

Answer:

6.08 or so

Step-by-step explanation:

The height is 1 foot, while the length is 6 feet.

You can use the Pythagorean Theorum to solve this, as you plug in the values.

The theorum states that A squared plus B squared = C squared, where A is  the length, and B is the width. (It doesn't matter if A is the width and B is the length either.)

So if we plug in the values:

1 squared plus 6 squared = C squared.

1 + 36 = 37

Since it is C squared, we can find the square root of 37, which is something like 6.0827625302982196889996842452021.

So usually we round to the hundredths place, so we can use 6.08.

Answer:

T = -3

Step-by-step explanation:

No explanation needed ...

Answer:

Mean: 45.8 (rounded to the tenth place)

Median: 46

Mode: 46

Range: 84

Step-by-step explanation:

Answer:

10 / 26

Step-by-step explanation:

cos <Z = adjacent / hypotenuse

= YZ / XZ

= 10 / 26

Answer:

Cos of an angle by definition of its ratio is side adjacent/hypotenuse.  The side adjacent to angle Z cannot be the hypotenuse, so it has to be 10. he hypotenuse is 26.  Therefore, cosZ= 10/26 = 5/13

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZZZZZZZz

Answer:

11

Step-by-step explanation:

7 8 11 15

median (8+11)/2=19/2=9.5

Answer:

0.5 seconds

Step-by-step explanation:

Equation: h(t) = -5t²+5t=10

Where h(t) is in meter, t is in seconds.

The driver will reach maximum height when d[h(t)]/d(t) = 0

From the equation,

d[h(t)]/d(t) = -10t+5

Therefore,

-10t+5 = 0

Solve for t

-10t = -5

10t = 5

t = 5/10

t = 0.5 seconds.

Hence the height will be maximum in 0.5 seconds.

Answer: 60

Step-by-step explanation:

ball =x

bat = y

x + y = 90

and

equation II is

3 x + 2 y =210

By multiplying by 3 to equation I both sides

we get equation III as

3( x + y) = 3 ( 90 )

3x + 3y =270 III

subtract II and III

we get 3x+3y=270

- 3x+2y=210

--------------------------

0+y= 60

y =60

cost of bat is y ie = 60

and cost of ball ,is

let put value of y in equation I

x+60=90

x=90-60

x=30

cost of ball is 30

Step-by-step explanation:

It is Graph B. We can do this by checking the points. The equation given is d = 5t^2, where d technically is the y-coordinate and t is the x-coordinate. On Graph B, two obvious points are (1, 5) and (2, 20). We can check these points to see if they fit the equation.

(1,5): d = 5t^2

5 = 5(1)^2

5 = 5*1

5 = 5, so this point is correct.

(2, 20): = d = 5t^2

20 = 5(2)^2

20 = 5*4

20 = 20, so this point is correct.

We know that Graph A is incorrect because it doesn't follow the equation. The line goes through (1, 5), which we already know is correct, (2, 10), (3, 15), and (4, 20). We already figured out that (2, 20) is correct so (2,10) can't be correct. (3, 15) and (4, 20) are also incorrect but in this case, we only need to find one incorrect coordinate to validate our answer. Thus, as Graph A is wrong, Graph B is right.

Answer: There is a total of 36 slices of pizza.

Answer:

d supplementary angle is s answer to me

Given:

Consider the line segment YZ with endpoints Y(-3,-6) and Z(7,4).

To find:

The y-coordinate of the midpoint of line segment YZ.

Solution:

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

The endpoints of the line segment YZ are Y(-3,-6) and Z(7,4). So, the midpoint of YZ is:

[tex]Midpoint=\left(\dfrac{-3+7}{2},\dfrac{-6+4}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{4}{2},\dfrac{-2}{2}\right)[/tex]

[tex]Midpoint=\left(2,-1\right)[/tex]

Therefore, the y-coordinate of the midpoint of line segment YZ is -1.

Answer:

4√6

Step-by-step explanation:

cot60➜4√2/t

➜1/√3=4√2/t

➜t=4√2√3

➜t=4√6

Answer:

[tex]2\sqrt{2}[/tex] = t

Step-by-step explanation:

Sin(30) = t / [tex]4\sqrt{2}[/tex]

Sin(30) * [tex]4\sqrt{2}[/tex] = t

[tex]2\sqrt{2}[/tex] = t

Hope this helps!