Find the value of x,y and z​

Using the outside angle theorem, the measure of angle CDE is: 70°.

According to the angle of intersecting tangents theorem, we would have the following equation using the diagram given:

Angle CDE = ½(measure of arc CBE - measure of arc CE)

Given the following:

Plug in the values into the equation

Angle CDE = ½(250 - 110)

Angle CDE = 70°

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Answer: Angle CDE = 70°

Step-by-step explanation:

The Area of carpet for the given dimension is 72m².

Area of rectangle is the region occupied by a rectangle within its four sides or boundaries. The area of a rectangle depends on its sides.

Let the width of the room w = x m

     and the length, L = 1.5x

Length of carpet + 6 = length of room

2(x-6)+6=1.5x

2x-12+6=1.5x

0.5x=6

  x = 6 / 0.5

  x = 12

length of room x = 12 m

width of room = 18 m

18-6 by 12-6    =    12 by 6 dimensions of carpet

Area of carpet = 12 X 6=72 m²

Thus, the Area of carpet for the given dimension is 72m².

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D option is correct by SSS congruence rule

The ratio of rise to run between points B and C is the same as the slope of line AB

An equation is an expression that shows the relationship between two or more numbers and variables.

Slope of a line = ratio of rise to run = rise / run

Hence:

The ratio of rise to run between points B and C is the same as the slope of line AB

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Given the data from the question, the expressions that are equal to 10⁵ are

To determine the expressions that are equal to 10⁵, we shall evaluate the options given from the question.

Recall

(Aᵐ)ⁿ = Aᵐⁿ

Thus,

(10⁴)¹ = 10⁴

Recall

Aᵐ ⋅ Aⁿ = Aᵐ⁺ⁿ

Thus,

10³ ⋅ 10² = 10³⁺²

10³ ⋅ 10² = 10⁵

Recall

1 / Aᵐ = A⁻ᵐ

Thus,

1 / 10⁵ = 10⁻⁵

Recall

(Aᵐ)ⁿ = Aᵐⁿ

Thus,

(10³)² = 10⁶

Recall

Aᵐ ⋅ Aⁿ = Aᵐ⁺ⁿ

10 ⋅ 10 ⋅ 10 ⋅ 10 ⋅ 10 = 10¹⁺¹⁺¹⁺¹⁺¹

10 ⋅ 10 ⋅ 10 ⋅ 10 ⋅ 10 = 10⁵

SUMMARY

(10⁴)¹ = 10⁴

10³ ⋅ 10² = 10⁵

1 / 10⁵ = 10⁻⁵

(10³)² = 10⁶

10 ⋅ 10 ⋅ 10 ⋅ 10 ⋅ 10 = 10⁵

From the above illustrations, only 10³ ⋅ 10² and 10 ⋅ 10 ⋅ 10 ⋅ 10 ⋅ 10 are equal to 10⁵

Complete question

See attached photo

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Answer:

No. There should be 210 small triangles

Step-by-step explanation:

The number of small triangles in these figures forms a sequence

Fig         No Small Triangles
1             1
2            3  (1+2)
3            6  (1+2+3)

So the nth figure should have 1+2+3+.....+(n-1)+ n

1+2+3+.....+(n-1)+ n = [tex]\frac{n (n-1)}{2}[/tex]
So for 20th figure, n = 20 and number of small triangles = 20 x 21 /2 = 420/2 = 210

The data in the plot is Right skewed.

Therefore , Option A is the right answer

A right skewed distribution means most of the data lies to the right side of the graph's peak.

A dot plot is given and observing the data it can be seen that peak is towards the right side of the graph.

Thus the data in the plot is Right skewed.

Therefore , Option A is the right answer.

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Answer:

its 0

Step-by-step explanation:

you just gotta do the math correctly to get the answer. x & y are both values with different meanings. but in this case it's 0

Answer: Difference in membership costs after m months = -($24.96m + $34.94)

Step-by-step explanation:

Cost of Zippy health club = $49.95 + $19.95 per month

Cost of Be strong = $24.99 per month and $10 off the first month

Total cost after m months of Zippy health club = $49.95 + $19.95m

Total cost after m months of Be strong = $24.99 (m - 1) + $ 10

Difference in membership costs after m months ={ $24.99m - $24.99 + $10 ]-[$49.95m + $19.95}

=$(24.99 - 49.95) m -$14.99 - $19.95

= -$24.96m - $34.94

=-($24.96m + $34.94)

So Difference in membership costs after m months =-($24.96m + $34.94)

therefore jada have to pay more if she joins Be strong.

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Answer:

It would be 2242.5

Step-by-step explanation:

1950X0.15=292.5

292.5+1950=2242.5

Answer:

x = 1

Step-by-step explanation:

Step 1: Combine like terms.

Step 2: Divide both sides by 30.

Step 3: Check if solution is correct.

Therefore, x = 1.

Solution: X=1

[tex]\searrow[/tex]

Detailed explanation:

Here we need to solve for x. x is our unknown. It's what we should find.

[tex]\searrow[/tex]

Note right up front that we can add the x's. This is a process that is known as "Combining Like Terms". We can combine them by adding, like here.

[tex]\twoheadrightarrow\sf 29x+x=30[/tex]

"x" is the same as 1x.

[tex]\twoheadrightarrow\sf 30x=30[/tex]

We're getting closer to finding the value of the unknown!

Now we know that if we multiply 30 times the unknown, we will get 30.

What will we get if we multiply 1 times the unknown? 1 is what we will obtain upon dividing by 30.

So our unknown, or x, is 1.

Voila! There's our answer!

_____________________________

Hope I helped! Best wishes.

Reach far. Aim high. Dream big.

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Answer:

11:18

Step-by-step explanation:

the lowest common multiple [meaning the nearest possible time these clocks will be ringing at the same time] of 42 and 56 is 168

(56 x 3 = 168 ; 42 x 4 = 168)

So, in 168 minutes, the clock will ring together again.

Now, we need to add 168 minutes to 08:30

(168 can be made up of 2 hours and 48 minutes [120 + 48 = 168])

08:30 + 2 hours = 10:30

10:30 + 48 minutes = 11:18

So, at 11:18, these clocks will ring together again

The linear velocity of the Ferris wheel in inches per second is 18.9 inches/second.

The speed of an object is the ratio of the total distance covered by the object and the total time taken by the object to complete that distance.

Here, the radius of the Ferris wheel is (r) = 30 feet.

The circumference of the wheel is

C= 2πr

C= 2 × π × 30 feet

C= 60π feet

Here, the Ferris wheel completes 7 revolutions.

Therefore, it covers the linear distance of

D= 7 × circumference of the wheel

D= 7 × 60π feet

D= 420π feet

Now, the Ferris wheel took 14 minutes to complete 420π feet.

Therefore, the speed of the wheel is

S= (420π/14) feet/minute

S= 30π feet/minute

S= (30π × 12)/60 inches/second

S= 6π inches/second

S= 18.9 inches/second

Therefore the linear velocity of the object will be 18.9 inches/second

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The Volume and Surface Area of Prism is 462  in² and 637  in³.

What is Prism?

Prism is a three-dimensional solid object in which the two ends are identical. It is the combination of the flat faces, identical bases and equal cross-sections.

Surface area of rectangular prism,

= 2( lb +bh +lh)

= 2 ( 13*7 + 7*7+ 13*7)

=2*231

= 462  in²

Now, Volume,

= bhl

= 13*7*7

= 637  in³

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Answer:

1 (2/3) or 1.66666667

Step-by-step explanation:

The slope of a line is found by using the equation :

y2 - y 1 / x2 - x1

So all we have to do is plug in our values given.

To find which belongs with which variable (such as x2 or y1), we do the following:

We know that the coordinates of a point are represented by (x, y). So we must assign a number to each points number.

(2, 8) will be x1 and y1.

(5, 13) will be x2 and y2

Plug in the values :

13 - 8 = 5

5 - 2 = 3

5 / 3 = 1 (2/3)

So, the slope of the line is 1.66666667 or 1 and (2/3)s

Answer:

D

Step-by-step explanation:

the zero is the value of x where the line crosses the x- axis, that is

zero is x = - 2

Answer:

6 Slices

Step-by-step explanation:

Total units = 1 + 3 + 2 = 6 Units

6 Units = 18 Slices of Pizza

Iris shared 2 units.

1 Unit = 18/6 = 3 Slices of Pizza

2 Units = 2 * 3 = 6 Slices of Pizza

Answer:

-3+15-75+375

=12-75+375

=-63+375

=302

n=8

302÷8 = 37

The slope of CD, which is parallel to AB must be: A. -5.

If two line segments are parallel to each other, their slope value (m) would be equal to each other.

Side AB and CD in the parallelogram are parallel segments, therefore, their slope (m) would be the same.

Slope (m) of AB = -5, therefore, the slope of CD must be: A. -5.

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The steps arranged in the right order are:

45,000,000 = [tex]100(1 + 1.5)^{t}[/tex]

45,000,000 = [tex]100(2.5)^{t}[/tex]

450,000 = [tex](2.5)^{t}[/tex]

log 450,000 = log [tex](2.5)^{t}[/tex]

log 450,000 = log t (2.5)

[tex]\frac{log 450,000}{log 2.5} = t[/tex]

5.632 / 0.3979 = t

t = 14.21 hours

The equation that can be used to represent the growth rate of the bacteria is an exponential equation. The form of exponential equations is:

FV = P(1 + r)^t

Where:

45,000,000 = 100( 2.5)^t

t = log 450,000 / log 2.5

t = 14.21 hours

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Answer:

x=3

Step-by-step explanation:

due to its same angle of the graphic. it has to be +6 as well

23-29-35

35=11.×+2

35-2=33

33=11.×

x=3

The solution for the given inequality will be x≤ -3 or x≥ 5. Thus, the correct option is B.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

For the given inequality the solution can be found as,

         3|x-1| ≥ 12

         x-1 ≥ 4

         x ≥ 5

         3|x-1| ≥ 12

         - x + 1 ≥ 4

         -x ≥ 3

         x ≤ -3

Hence, the solution for the given inequality will be x≤ -3 or x≥ 5. Thus, the correct option is B.

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Answer:

Tax 3.78 $ and tip 7.56 $

Step-by-step explanation:

42*0.09 = 3.78

42*0.18 = 7.56

Answer:

When 68.321 rounded to the nearest tenth the result is 68

The equivalent expression is: .[tex]3\frac{3}{8}[/tex]

An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division)

Given:

(- 2 1/4)/(- 2/3)

=-9/4÷ (-2/3)

= -9/4 * (-3/2)

= 27/8

= [tex]3\frac{3}{8}[/tex]

Hence, the equivalent fraction is [tex]3\frac{3}{8}[/tex].

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Answer:

y = 2

Step-by-step explanation:

Y varies indirectly with x (as x gets bigger, y gets smaller)

You have to find k, the constant of proportionality.

y = [tex]\frac{k}{x}[/tex]

Plus in the x & y values you are given

58 = [tex]\frac{k}{9}[/tex]  Multiply both sides by 9 to solve for k

k= 522

Now plug in the new value of x to solve for y

y = [tex]\frac{522}{261}[/tex]

y = 2

Answer:

75 Seconds

Step-by-step explanation:

First divide 90,000 by 16 then square root that answer for 75 and when you plug it in you'll end up with -90,000 + 90,000