Show that the triangles are similar and write a similarity statement.
pls help...

Answer:

a). Geometric sequence

b).

c). $46945.21 will be the salary at the start of 5th year.

Step-by-step explanation:

My salary for the first year is $37185.

If I get an increase of 6% every year then the next year salary will be,

  = $39416.1

Similarly in the second year my salary will be

   = $41781.07

So the sequence becomes $37185, $39416.1 $41781.07.....

And there is a common ratio in each successive term 'r' = 1.06

a). Therefore, it's a geometric sequence.

b). Explicit formula for this sequence will be in the form of

Where t = duration in years

c). Salary at the start of 5th year,

      = $46945.21

Step-by-step explanation:

it should be 137

if not am sorry. am not the best at math

Answer:

Solution. To find the perimeter of \triangle ABC we use the Pythagorean Theorem which tells us that |AB|^2 = |AC|^2 + |BC|^2. Since |AC| = 5 and |BC| = 12 we find that |AB| = \sqrt{169} = 13. The perimeter of \triangle ABC is then 5 + 12 + 13 = 30 units.

Answer:

A Rational

Step-by-step explanation:

Because 200 can be represented as 200/1, it shows that it can be made into a fraction unlike irrational numbers.

Answer:

Step-by-step explanation:

Because a square has 4 equal sides:

P = 4x

A = [tex]x^{2}[/tex]

[tex]P=\frac{4x^2+4}{x^2-2x+1}[/tex]                              (original P equation)

[tex]4x=\frac{4x^2+4}{x^2-2x+1}[/tex]                             (substitute P = 4x)

[tex]4x(x^2-2x+1)={4x^2+4}[/tex]         (multiply denominator on both sides)

[tex]4x^3-8x^2+4x={4x^2+4}[/tex]          (distribute 4x)

[tex]4x^3-12x^2+4x-4=0[/tex]            (combine like terms, set = to 0)

[tex]4(x^3-3x^2+x-1)=0[/tex]             (factor)

Continue using quadratic formula to find x

Hope this helps! Cannot finish answer right now, so sorry

side=Perimeter/4

side:-

[tex]\\ \rm\Rrightarrow \dfrac{4(x^2+1)}{4(x^2-2x+19}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{x^2+1}{x^2-2x+19)}✓/tex]

Area=side ²

[tex]\\ \rm\Rrightarrow \left(\dfrac{x^2+1}{x^2-2x+19}\right)^2[/tex]

The sum of the given data will be 7 ⁵√x²y. The result or answer we obtain when we count two or more digits or terms is known as a sum.

The result or response we obtain when we add two or more numbers or terms is known as a sum.

The given terms will be

[tex]\rm x= 4\sqrt[5]{x^2y} \\\\ \rm y= 3\sqrt[5]{x^2y}[/tex]

The sum is found as;

S= x+y

[tex]\rm S=\rm 4\sqrt[5]{x^2y} + 3\sqrt[5]{x^2y} \\\\ \rm S=\sqrt[5]{x^2y} (4+3) \\\\ \rm S=7\sqrt[5]{x^2y}[/tex]

Hence the sum of the given data will be 7 ⁵√x²y.

To learn more about the sum refer to the link;

https://brainly.com/question/13013054

Answer:

Its C

Step-by-step explanation:

TRUST>>>

Answer:66 meters

Step-by-step explanation:

just change the negative to a positive and add them together. It would be 66.

Step-by-step explanation:

Both are very correct,

[tex]5 { }^{ - 2} = \frac{1}{25} \: or \: \frac{1}{5 {}^{2} } [/tex]

because any number raised to the power of a negative

is given as

[tex]a {}^{ - x} = \frac{1}{a {}^{x} } [/tex]

if this helped pls give brainliest

Answer:

17.4.3

Step-by-step explanation:

17.4.3

[tex]x+y = 5~~...(i)\\\\2x-y = 1~~...(ii)\\\\\text{From (i):}\\\\x+y = 5\\\\\implies x = 5-y~~~.....(iii)\\\\\text{Substitute equation (iii) in equation (ii):}\\ \\2(5-y)-y = 1\\\\\implies 10 - 2y -y = 1\\\\\implies 3y = 9\\\\\implies y = \dfrac 93 = 3\\\\\text{Substitute y= 3 in equation (iii):}\\\\x= 5-3 = 2\\\\\text{Hence,}~ (x,y) = (2,3)[/tex]

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(2,3)

Equation Form:

x = 2, y = 3

Step-by-step explanation:

Demarcus should calculate the total surface area of the rectangular prism and the measurement is 1,048 in²

Total surface area = 2(lw + hw + lh)

= 2(20×8 + 13×8 + 20×13)

= 2(160 + 104 + 260)

= 2(524)

= 1,048 in²

Learn more about surface area:

https://brainly.com/question/1310421

Answer:

40+20, 50+10, 46+14

Step-by-step explanation:

15+45=60 =   50+10=60 46+14=60

Answer:

i can't see the multiple choice

Step-by-step explanation:

angle c and b are equal

angle a and d are equal

and you have a common angle o

and ab = cd

The triangles ΔAOB and ΔDOC are congruent to each other by SSS and SAS postulates. Then the correct option is A.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

It is given that AB || CD. The side AB is congruent to the side CD.

The line AD and BC intersect at the mid-point. Then the line segment AO and OD will be congruent and the line segment CO and OB will be congruent.

And the angle ∠AOB and ∠COD will be congruent because they are vertically opposite angles.

The triangles ΔAOB and ΔDOC are congruent to each other by SSS and SAS postulates. Then the correct option is A.

More about the triangle link is given below.

https://brainly.com/question/25813512

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Answer:

true is the correct answer

Step-by-step explanation:

hope it's help you

please mark me as brainlist answer

Answer:7/8

Mixed number just do it

its C

One coffee maker's cost in 1983 was $20.85 if the current CPI is 153 option (a) is correct.

It is given that the CPI is currently 153 if a coffee maker costs $31.90 today. It is required to find how much did one cost in 1983.

It is defined as the tool to measure inflation that indicates between two periods how much cost is increased. It can be represented by [tex]\rm CPI_t[/tex] for the given time 't'

The formula for finding the CPI:

[tex]\rm CPI_t = \frac{C_t}{C_0}\times 100[/tex]

Where [tex]\rm c_t[/tex] is the cost in the current market

           [tex]c_0[/tex] is the cost at the given period.

We have in the question:

[tex]\rm c_t = \$31.90\\\\\rm CPI_t = 153[/tex]

Putting these values in the CPI formula, we get:

[tex]\rm 153= \frac{31.90}{C_0}\times 100\\\\\rm c_0 = \frac{3190}{153} \\\\\rm c_0 = \$20.84 \approx \$20.85[/tex]

Thus, one coffee maker's cost in 1983 was $20.85 if the current CPI is 153.

Learn more about the CPI here:

https://brainly.com/question/26682248

Answer:

I think 5580

Step-by-step explanation:

You move the 1800 away for a bit so since it's 42 weeks you have to multiply 90 and 42 then add that to 1800.

Answer:

1.62857142857

Step-by-step explanation:

Im sure you can round to 1.6 or 1.62.

Answer:

6.55 miles

Step-by-step explanation:

26.2 miles in 4 hours means 6.55 each hour adds up to the total.

Do ---> 26.2 divided by 4 to get hourly miles = 6.55

Answer:

40 degrees is acute, 50 is also acute and they both make up a right angle (90 degrees)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Given expression :

Solving :

Answer:

D   [tex]\sf x^{\frac12} y^{\frac34} z^{\frac14}[/tex]

Step-by-step explanation:

[tex]\sqrt[4]{\sf x^2y^3z}=\sqrt[4]{\sf x^2y^3z^1}[/tex]

Apply the Radical Product Rule  [tex]\sqrt{\sf ab} =\sqrt{\sf a}\sqrt{\sf b}[/tex] :

[tex]\implies \sqrt[4]{\sf x^2}\sqrt[4]{\sf y^3}\sqrt[4]{\sf z}[/tex]

Apply fractional exponent rule [tex]\sqrt[n]{\sf a^m} = \sf a^{\frac{m}{n}}[/tex] :

[tex]\sf \implies x^{\frac24} y^{\frac34} z^{\frac14}[/tex]

Simplify:

[tex]\sf \implies x^{\frac12} y^{\frac34} z^{\frac14}[/tex]

Answer:

40.5 square meters

Step-by-step explanation:

the first thing you should do is find the area of the entire square

that is 9 * 9 which is 81

then you have to find the area of the triangle 9 * 9 * 1/2 which is 40.5

81 - 40.5 is 40.5 so the shaded region is 40.5

Answer:

nothing

Step-by-step explanation:

2cups= orange juice

1 cup= cranberry juice

nothing the orange and juice was used to make the mixture of juice

Answer:

its nothing??

Step-by-step explanation:

you gave it to mags so its nothing

Answer:

there are no statements...

Answer:

x>5, so

let x=6

6-3=3

+

6+2=8

-

6-5=1

3+8-1=10

answer=10

Answer:

105,000

Step-by-step explanation:

I'd the scale is 1 : 50,000, you would first take the 2.1km and multiply it by your 50,000. This will put your answer to scale coming in at 105,000 km on the map

Answer:

B

Step-by-step explanation:

The probability that x assumes a value less than three standard deviations from the mean is 1.

The continuous uniform distribution, sometimes known as the rectangle distribution, is a family of symmetric probability distributions in probability theory and statistics.

We have:

x be a random variable with uniform distribution on (100,200).

It is required to find the probability that x assumes a value less than three standard deviations from the mean.

From the empirical rule, the data falls within three standard deviations of the mean in 99.7% of cases.

99.7% data from the (100, 200) is up to 199.7

Total number of favourable outcomes = 99.7

The probability that x assumes a value less than three standard deviations from the mean:

= 99.7/(200-100)

= 0.997 ≈ 1

Thus, the probability that x assumes a value less than three standard deviations from the mean is 1.

Learn more about the uniform distribution here:

https://brainly.com/question/13233983

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[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

Assume width of rectangle be " x ", length = 3×width + 8 = 3x + 8 ~

Now, Perimeter of rectangle is :

[tex]\qquad \sf  \dashrightarrow \:2(l + w) = 56[/tex]

[tex]\qquad \sf  \dashrightarrow \:2(3x + 8 + x) = 56[/tex]

[tex]\qquad \sf  \dashrightarrow \:2(4x + 8) = 56[/tex]

[tex]\qquad \sf  \dashrightarrow \:4x + 8 = 56 \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:4x + 8 = 28[/tex]

[tex]\qquad \sf  \dashrightarrow \:4x = 28 - 8[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 20\div 4[/tex]

[tex]\qquad \sf  \dashrightarrow \:x =5 \: cm[/tex]

Hence, width = x = 5 cm

[tex]\qquad \sf  \dashrightarrow \:l = 3w + 8[/tex]

[tex]\qquad \sf  \dashrightarrow \:l = 3(5)+ 8[/tex]

[tex]\qquad \sf  \dashrightarrow \:l = 15+ 8[/tex]

[tex]\qquad \sf  \dashrightarrow \:l =23 \:cm[/tex]

And, length = 26 cm