find the nth term
45,40,35,30...
​

By using '' ASA congruency theorem'' these triangles are congruent.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangles are shown in figure.

Now, We have to given in both triangles,

Two angles are equal to each other.

And, One side of both triangles are common.

Hence, By using ''ASA congruency theorem'' these triangles are congruent.

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ1

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20.70\% of 5029196}}{\left( \cfrac{20.70}{100} \right)5029196}\implies 1041043.572[/tex]

The diameter length is 30.

We know that the general equation for a circle is(x−h)²+(y−k)²=r²,

where ( h, k ) is the center and r is the radius.

As we know form of a circle.

We will use this form to determine the diameter of the circle.

(x−h)²+(y−k)²=r²

Given equation is :

(x-7)²+(y-2)²=225

(x-7)²+(y-2)²=(15)²

On comparing the above equation with the with equation of circle, we have

r²=(15)²

r=15

So, the diameter will be the twice the radius.

diameter= 2r

diameter= 2*15

diameter= 30

Learn more about equation of circle here:

https://brainly.com/question/10618691

#SPJ1

1st-causation i think bc its a cause for thim not to go outside

2nd-likely cause       i put likely cause bc it says its low temp. and he said low tempetures cause his to stay inside.

The sum of the arithmetic series with the parameters  t1 = -2, t3 = 7, and n = 15 is 442.5

The given parameters are:

t1 = -2

t3 = 7

n = 15

Start by calculating the common difference using:

Tn = t1 + (n- 1)d

So, we have:

7 = -2 + (3 - 1) * d

Evaluate

7 = -2 + 2d

Add 2 to both sides

2d = 9

Divide by 2

d = 4.5

The sum  is then calculated using:

[tex]S_n = \frac n2 * (2a + (n - 1) * d)[/tex]

So, we have:

[tex]S_{15} = \frac {15}2 * (2*-2 + (15 - 1) * 4.5)[/tex]

Evaluate

[tex]S_{15} = 442.5[/tex]

Hence, the sum of the arithmetic series is 442.5

Read more about arithmetic series at:

https://brainly.com/question/6561461

#SPJ1

The best prediction for the number votes Pierre should expect to receive is 40 votes

From the question, we are determine the best prediction for the number of votes Pierre should expect to receive

From the given information,

He takes a poll of 34 random students and finds that 5 said they would vote for him

Then, we can assume that,

Out of every 34 random students, 5 would vote for him

The total number of students that will vote = 272

There are eight 34s in 272

NOTE: 272 ÷ 34 = 8

Then, he should expect 8 × 5 votes

8 × 5 votes = 40 votes

Hence, the best prediction for the number votes Pierre should expect to receive is 40 votes

Lear more on Calculating the number of vote here: https://brainly.com/question/8926818

#SPJ1

The quadratic function has two real solutions. The solutions to the function are x= -2 and x= 0

From the question, we are to determine the number of real solutions the quadratic function has.

NOTE:

From the given diagram, the graph of the quadratic function crosses the x-axis at two distinct points.

∴ The quadratic function has two real solutions

The solutions of a quadratic function are the points where the graph intersects with the x-axis.

In the given graph, the solutions to the function are x = -2 and x = 0

Hence, the quadratic function has two real solutions. The solutions to the function are x= -2 and x= 0.

Learn more on Determining the solutions of a quadratic function here: https://brainly.com/question/2388280

SPJ1

Answer:

Six units to the right and 3 units up.

Step-by-step explanation:

Answer:

Six units to the right and 3 units up

The values of r and w will be 50 and 140 degrees.

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

From the Exterior Angle of a Triangle Property;

38° + 103° = w

w = 140°

Let x be the exterior angle so that

x = r + 90°

Similarly,

By vertically opposite angle;

w = x

So, x = r + 90°

140 = r + 90°

r = 140 - 90

r = 50

Hence, the values of r and w will be 50 and 140 degrees.

Learn more about exterior angles;

https://brainly.com/question/14164971

#SPJ1

Answer:

imaginary form

Step-by-step explanation:

So how we represent?

Let a number be -9

Find square root

So

i stands for iota and has value √-1

Answer:

S₁₃ = 455

Step-by-step explanation:

the sum to n terms of an arithmetic is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

We require to find both a₁ and d

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

given a₄ = 20 and a₁₃ = 65 , then

a₁ + 3d = 20 → (1)

a₁ + 12d = 65 → (2)

subtract (1) from (2) term by term to eliminate a₁

9d = 45 ( divide both sides by 9 )

d = 5

substitute d = 5 into (1) and solve for a₁

a₁ + 3(5) = 20

a₁ + 15 = 20 ( subtract 15 from both sides )

a₁ = 5

Then

S₁₃ = [tex]\frac{13}{2}[/tex] [ (2 × 5 ) + (12 × 5 ) }

     = 6.5 (10 + 60)

     = 6.5 × 70

     = 455

Answer:

1.66667

Step-by-step explanation:

9------1

15-----?

We divide 9 by 9 to get 1 so we divide 15 by 9 to get ?

15 / 9 = 1.66667

Answer:

5/3 hours ( answer in fraction )

1.66 hours ( answer in decimal )

Step-by-step explanation:

Given,

Distance ( d ) = 15 kilometer ( 15 km )

Velocity ( v ) = 9 kilometers per hour ( 9 km / h )

To find : Time ( t )

Formula : -

v = d / t

t = d / v

= 15 / 9

t = 5/3 hours

( or )

t = 1.66 hours ( approximately )

Note : -

1. If the sentence " rate of kilometers " is there, then it is velocity.

2. If the sentence " How long will it take " is there, then it is time.

Answer:

The given quadratic has two solutions.

Step-by-step explanation:

The discriminant of a quadratic equation is [(b^2) - (4 * a * c)]

We're given the quadratic x^2 - 8x - 84 = 0

We can find a, b, and c by analyzing the quadratic.

So,

a = 1 because x^2 has no coeffiecient

b = -8 ( coefficient of 8 * the - )

c = -84 the raw y-intercept value of this function

Now we can plug these numbers into the discriminant expression:

(-8)^2 - ( 4 * 1 * -84 ) =

64 - ( - 336 ) =

64 + 336 =

400

Now that we know the value of the discriminant, we have to anazlyze it.

If the discriminant of a quadratic is positive, the quadratic has 2 solutions.

If the discriminant is negative, the quadratic has no solutions.

If the discriminant is equal to zero, the quadratic only has 1 solution.

In conclusion, because the discriminant = 400, and 400 > 0, the given quadratic equation has two solutions.

Answer:

x = -2

Step-by-step explanation:

Step 1: Subtract 7 from both sides.

3x+7−7=1−7

3x=−6

Step 2: Divide both sides by 3.

3x/3 = −6/3

x = −2

Answer: No

Step-by-step explanation:

     If we rotate them so they are both facing the same direction, the congruency between sides and angles do not make the two triangles congruent as a whole.

    See attached for the pictures I drew of the triangles rotated. They are not to scale, but I kept the markings on.

[tex]\Large\textsf{\textbf{Answer\::}}[/tex]

view explanation please !

[tex]\Large{\textsf{\textbf{Calculations\::}}[/tex]

What are we asked to do ?

We are asked to isolate w (get w by itself) .

To do that , divide by lh on both sides :

[tex]\displaystyle\frac{V}{lh} = w[/tex]

So the right formula  is :

[tex]\bigcirc\!\!\!\!\!\!\bigstar[/tex] [tex]\displaystyle\frac{V}{lh} =w[/tex]

[tex]\footnotesize\text{hope\:helpful~}[/tex]

Answer:

w = v/lh

Step-by-step explanation:

v = lwh

Divide both sides by lh

w = v/lh

Answer:

A square root is a factor of a number that, when multiplied by itself, gives the original number. An example is √9 = 3

Hope this helped! I would appreciate a Brainliest!

Answer:

The square root is the answer to an equation with two number multiplied by itself. Say for example, b/a = a, a is the square root of b. Let's say b = 144 and a = 12, 12 would be the square root of 144.

Step-by-step explanation:

Example 1:

144/12 = 12

12 is the square root of 144

Example 2:

64/8 = 8

8 is the square root of 64

Example 3:

81/9 = 9

9 is the square root of 81

Answer: 1 28/100 or 1 7/25

Step-by-step explanation:

The common difference on the sequence is -3 and the number of books will be 21.

The formula that can be used to calculate the number of books will be:

= a + (n - 1)d

= 57 + (13 - 1)-

= 57 + (12 × -3)

= 57 - 36

= 21

Also, from the information given, each row has three fewer books than the row below it. Therefore, the common difference is -3.

Learn more about sequence on:

https://brainly.com/question/1275192

#SPJ1

Answer:

x = 7/3

Step-by-step explanation:

Given equation:

To determine the value of "x", we need to isolate the x-variable and it's coefficient on one side of the equation. This can be done by subtracting 49 to both sides of the equation.

We can see that the negative sign in on both sides of the equation. Remove it by dividing -1 to both sides of the equation.

Clearly, we can see that 9x² and 49 are perfect squares. Therefore,

Take square root both sides of the equation:

To determine the value of "x", we need to isolate it "completely". This can be done by dividing 3 to both sides of the equation

Therefore, the value of "x" must be 7/3.

Answer:

x = 7∕3, –7∕3

Step-by-step explanation:

To find the solutions of the quadratic equation -9x^2 + 49 = 0, we can solve for x by isolating x^2 first:

-9x^2 + 49 = 0

-9x^2 = -49

Dividing both sides by -9, we get:

x^2 = 49/9

Taking the square root of both sides, we get:

x = ± 7/3

Therefore, the solutions of the quadratic equation -9x^2 + 49 = 0 are x = 7/3 and x = -7/3.

[tex]sin(2\theta)=2sin(\theta)cos(\theta) \\\\[-0.35em] ~\dotfill\\\\ sin(x)cos(x)=\cfrac{\sqrt{3}}{4}\implies \stackrel{\textit{multiplying both sides by 2}}{2sin(x)cos(x)=2\left( \cfrac{\sqrt{3}}{4} \right)}\implies sin(2x)=\cfrac{\sqrt{3}}{2}[/tex]

Answer:

A)  2x3 + 11x2 + 8x - 16.

Step-by-step explanation:

s(x).t(x) = (x + 4)( 2x2 + 3x - 4)

= x(2x2 + 3x - 4) + 4( 2x2 + 3x - 4)

= 2x3 + 3x2 - 4x + 8x2 + 12x - 16

= 2x3 + 11x2 + 8x - 16

[tex]\pmb{AnSwEr\::}[/tex]

these ratios are not equivalent . Please consult "Explanation" for more details

[tex]\bold{ExPlAnAtIoN}\downarrow[/tex]

We can write the ratios 1 : 4 and 3 : 10 as fractions :

[tex]\text{$\displaystyle\frac{1}{4} $}[/tex]

and

[tex]\text{$\displaystyle\frac{3}{10} $}[/tex]

Put the fractions together :

[tex]\text{$\displaystyle\frac{1}{4} \:and\:\frac{3}{10}$}[/tex]

Both fractions are in their simplest form ; the numerator and denominator do not have any common factors , except 1 , and there's no point in dividing by 1.

[tex]\small\text{hope helpful ( : }[/tex]

Using the Fundamental Counting Theorem, it is found that Kami could create 40,000 codes that start with an even number.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem:

Hence:

[tex]N = 4 \times 10^4 = 40000[/tex]

Kami could create 40,000 codes that start with an even number.

More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866

#SPJ1

Answer:

The answer would be D.

Step-by-step explanation:

Hope this Helps! Have a good day!

Answer:

D is the answer

Step-by-step explanation:

 is the answer to the question.  

To understand these questions, first look at the way the answers are written out.

Alia questions three students from her class, that might be an answer, but she didn't randomly pick them.

Miles randomly surveys a group of customers at a coffee shop, that might be one, but he might have surveyed a 25 year old instead of a 24 year old, so thats not one.  

Carson interviews students working part-time to gather data, he didn't select random students, he interviewed all of them, so that is not a valid option.

 Lea speaks with the managers at half of the town's 10 supermarkets, which stock similar items, to find out which breakfast cereal is most popular among the town's residents, that one is not stating that she interviewed, but she interviewed half of the 10, which is five, which can be selected randomly.  

So the correct answer is D.  

Answer:

188 meters cubed

Step-by-step explanation: