The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times the measure of the first angle. The third angle is 16 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles.
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[tex]4i[/tex]

[tex]i=\sqrt{-1}[/tex]

[tex]\sqrt{-16}=\sqrt{-1}*4[/tex]

[tex]\sqrt{-16}=i*4[/tex]

[tex]4i[/tex]

Hope this helps.

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Answer: x = 15

Step-by-step explanation: In this problem, since 7 is being subtracted

from x, add 7 to both sides of the equation to get x by itself.

On the left side, -7 + 7 will cancel out and

on the right side, 8 + 7 simplifies to 15.

So x = 15.

The value of x in the given equation x - 7 = 8 is 15.

Given that an equation x - 7 = 8, we need to solve for x.

To solve for x in the equation x - 7 = 8, you want to isolate x on one side of the equation.

Follow these steps:

Step 1: Add 7 to both sides of the equation to isolate x on the left side:

x - 7 + 7 = 8 + 7

Simplifying the left side, the -7 and +7 cancel out, leaving:

x = 15

Step 2: Check your solution by substituting the value of x back into the original equation:

x - 7 = 8

Substitute x with 15:

15 - 7 = 8

Simplify the left side:

8 = 8

Since the left side equals the right side, we have verified that x = 15 is indeed the correct solution for the equation.

Hence, the answer is x = 15.

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Answer:

Step-by-step explanation:

[tex][ -6 + -2 +2] + [-3 + 2 +1]\\[/tex]

Follow the PEDMAS order of operation

[tex]\\\mathrm{Calculate\:within\:parentheses}\:\left[-6-2+2\right]\::\quad -6\\=-6+\left[-3+2+1\right]\\\\\mathrm{Calculate\:within\:parentheses}\:\left[-3+2+1\right]\::\quad 0\\=-6+0\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:-6+0\:\\:\quad -6[/tex]

Answer:

-6

Step-by-step explanation:

Answer:

The value of √46 is between 6.5 and 7.

Step-by-step explanation:

We can use perfect squares to solve this problem.

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

A square root reverses the squaring operation. Therefore, if we take the square root of 49, we will get 7.

So, because 46 fits in the interval 36 < 46 < 49, we can solve this problem.

√36 = 6

√46 = ?

√49 = 7

Therefore, using this information, we can see that clearly the value of 46 is closer to 49, meaning that the square root of 46 is between 6.5 and 7.

Using number sets, it is found that the set of dense numbers is composed by: rational and irrational numbers

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Numbers can be classified as:

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Answer:

-24

Step-by-step explanation:

The parentheses means you have to multiply the 2 numbers

Answer:

-24

Step-by-step explanation:

Answer:

1.4

Step-by-step explanation:

Sample size: 3

Lowest value: 2.89

Highest value: 4.29

Range: 1.4

formula for calculating the range:

Range = maximum(x_i) - minimum(x_i)

where x_i represents the set of values.

Answer:

zx

Step-by-step explanation:

Answer: Equilateral, Isosceles and Scalene

hope this helped (let me know if it did)

The form of the polynomial given in part (a) is superior, as it has a lower percent relative round-off error compared to the form given in part (b).

To evaluate the polynomial [tex]y = x^3 - 5x^2 + 6x + 0.55[/tex]at x = 1.37 using 3-digit arithmetic with chopping, we substitute x = 1.37 into the expression:

[tex]y = (1.37)^3 - 5(1.37)^2 + 6(1.37) + 0.55[/tex]

Calculating each term;

[tex](1.37)^3[/tex]= 2.559

5[tex](1.37)^2[/tex]= 9.415

6(1.37) = 8.22

Substituting these values into the expression for y,

y = 2.559 - 9.415 + 8.22 + 0.55

y = 1.914

Now, let's move on to part (b).

We will express y as y = ((x - 5)x + 6)x + 0.55,

Now using 3-digit arithmetic with chopping.

Then, we substitute x = 1.37 into the expression:

y = ((1.37 - 5) 1.37 + 6) 1.37 + 0.55

Calculating each term separately:

(1.37 - 5) = -3.63

-3.63 x 1.37 = -4.98

-4.98 + 6 = 1.02

1.02 x 1.37 = 1.3974

Finally, adding 0.55:

y = 1.3974 + 0.55

y = 1.9474

Now, let's compare the percent relative round-off errors in both cases.

In part (a), the exact value of y was 1.914, while the approximate value using 3-digit arithmetic with chopping was also 1.914. Therefore, the percent relative round-off error is:

(1.914 - 1.914) / 1.914 x 100 = 0%

In part (b), the exact value of y was 1.914, while the approximate value using 3-digit arithmetic with chopping was 1.9474.

Therefore, the percent relative round-off error is:

(1.9474 - 1.914) / 1.914 x 100 ≈ 1.741%

Therefore, in this comparison, we can conclude that the form of the polynomial given in part (a) is superior, as it has a lower percent relative round-off error compared to the form given in part (b).

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Answer:

A:rational hope this helps mark brainlest

Step-by-step explanation:

Answer:

0.437%

Step-by-step explanation:

given:

initial number =  71 M

final number = 102M

increase = final number - initial number

= 102 - 71

= 31 M

Percent increase

= increase / initial number x 100%

= (31 / 71) x 100%

= 0.437%

No. of valid passports in 2006 = 71M

No. of valid passports in 2011 = 102M

We have to find percentage increase in the number of passports[tex].[/tex]

[tex]\leadsto\sf\:\% Increase = \dfrac{N_2-N_1}{N_1}\times 100[/tex]

[tex]\leadsto\sf\:\% Increase = \dfrac{102M-71M}{71}\times 100[/tex]

[tex]\leadsto\sf\:\% Increase=\dfrac{31}{71}\times 100[/tex]

[tex]\leadsto\sf\:\% Increase=\dfrac{3100}{71}[/tex]

[tex]\leadsto\:\boxed{\bf{\blue{\% Increase=43.66\%}}}[/tex]

Hope it helps !

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Answer:

r = 5.56 mm

Step-by-step explanation:

vol of cone = 1/3 π r² h

where

vol = 180 mm³

h = r

find r

plugin values into the formula:

180 = 1/3 * π r³

r³ =  (180 * 3) / π

r = ∛171.9

r = 5.56 mm

Answer:

radius = 5.56 mm

Step-by-step explanation:

Answer:

First one: x= -1/2

Second one: x= 1/4

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{19 \: inches}}}}}[/tex]

Step-by-step explanation:

Let the width be 'w'.

Length of a rectangle ( l ) = 5 + w

Perimeter of a rectangle = 66 inches

First, finding the width of a rectangle

[tex] \boxed{ \sf{perimeter \: of \: rectangle = 2(l + w)}}[/tex]

[tex] \dashrightarrow{ \sf{66 = 2(5 + w + w)}}[/tex]

[tex] \dashrightarrow{ \sf{66 = 2(5 + 2w)}}[/tex]

[tex] \dashrightarrow{ \sf{66 = 10 + 4w}}[/tex]

[tex] \dashrightarrow{ \sf{10 + 4w = 66}}[/tex]

[tex] \dashrightarrow{ \sf{4w = 66 - 10}}[/tex]

[tex] \dashrightarrow{ \sf{4w = 56}}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{4w}{4} = \frac{56}{4} }}[/tex]

[tex] \dashrightarrow{ \sf{w = 14 \: inches}}[/tex]

Width of a rectangle ( w ) = 14 inches

Now, Substituting / Replacing the value of w in order to find the length of rectangle

[tex] \sf{length = 5 + w}[/tex]

[tex] \dashrightarrow{ \sf{length = 5 + 14}}[/tex]

[tex] \dashrightarrow{ \sf{19 \: inches}}[/tex]

Length of a rectangle = 19 inches

Hope I helped!!

Best regards! :D

Answer:

one hundred forty-five thousand nine hundred seventy-three

hope this helps!

Answer:

(4√5)i

Step-by-step explanation:

Complex number is a number in the form a + bi, where both a and b are real numbers. A complex number has two parts, the first part a is the real part of the complex number and the second part b is the imaginary part of the complex number. Also, i = √(-1), hence i² = -1.

Complex numbers can also be graphed on the complex plane.

√(-80) = √(-1) × √(80)

But since √(-1) = i

√(-80) = i × √80 = i × √16 × √5 = i × 4 × √5 = (4√5)i

√(-80) = (4√5)i

Answer:

C) 4 Square Root 5 i

Step-by-step explanation:

100% on edge. When your wrist like this, you don't check the forecast

Every day it's gon' rain, yeah

Answer:

6=8x

Step-by-step explanation:

Answer:

6+8x

Step-by-step explanation

We are going to make sure we can do this as best as possible. We need to make sure that the words that you are reading are making sense.

Sum can be taken out because its just 6. We do not know what adds to 6, it could be 1 +5,  2+4, 3+3, -3 and 9, WE DO NOT KNOW. So don't put extra information into the expression, when it is not given.

The and would be an addition to something, because when we are speaking and say the word AND, we want to add to that sentence. So, and is the plus sign.

6+

Then product is multiplication. So 8 times x.

Put it all together and you get the expression:

6+8x

I really hoped that helped you!

Answer: true or yes

A number minus 6 is few then 8

Step-by-step explanation:

if you do 6-5=1 or 6-3=3 so true or yes ????

hoped this helped?????????

Answer:

45 oz

Step-by-step explanation:

first you need to find the are of the yard. To do that you multiply the length by the width: 60x90=5400 feet

next you divide by 120: 5400/120=45

therefore, you need to buy 45 ounces of grass seed.

Answer:

[tex]=\left(-\frac{19}{2},\:-2\right)[/tex]

Step-by-step explanation:

[tex]\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-10,\:5\right),\:\\\left(x_2,\:y_2\right)=\left(-9,\:-9\right)\\\\=\left(\frac{-9-10}{2},\:\frac{-9+5}{2}\right)\\\\Simplify \\=\left(-\frac{19}{2},\:-2\right)[/tex]

Answer:

72 wings

Step-by-step explanation:

[tex]1 \:friend = 9 \:wings\\8 \: friends = x\:wings\\\\[/tex]

Cross Multiply

[tex]x = 9\times 8\\\\x = 72 \:wings[/tex]

The order came with 72 wings. 72 divided by 9=8, 8 times 9=72

Answer:

259.85 K

Formula:

-13.3°C + 273.15 = 259.85K

Step by step solution:

To convert, just add 273.15 to the Celcius value to get the Kelvin value.

Hope this helps!

Answer:

y=a/(9+3x)

Step-by-step explanation:

Reverse: 9y+3xy=a

y(9+3x)=a

y=a/(9+3x)

Answer:

D) A Line Segment ​

Step-by-step explanation:

pentagon. is the answer for this one

Answer:

As you can see, the difference between the reciprocal of [tex]x^2[/tex] and the inverse of   [tex]x^2[/tex] is that [tex]\frac{1}{x^2} =x^{-2}[/tex] and [tex]\sqrt{x} =x^{\frac{1}{2}[/tex].

Step-by-step explanation:

First lets find both the reciprocal of [tex]x^2[/tex] and the inverse of

Recall that the reciprocal of a value is where you take a fraction and swap the places of the terms. In the case of [tex]x^2[/tex], 1 is the denominator, so

[tex]\frac{x^2}{1} =\frac{1}{x^2}[/tex]

To find the inverse of a function, you first need swap the locations of x and y in the equation

[tex]y=x^2\\\\x=y^2[/tex]

Now, you need to solve for y

[tex]y^2=x\\\\y=\sqrt{x}[/tex]

Now, lets rewrite each of these to better compare them

[tex]\frac{1}{x^2} =x^{-2}\\\\\sqrt{x} =x^{\frac{1}{2}[/tex]

As you can see, the difference between the reciprocal of [tex]x^2[/tex] and the inverse of

Answer:

0

Step-by-step explanation:

Answer:

Total amount earned = $500.25

Step-by-step explanation:

Given:

Wage per hour = $11.50

Time worked = 40 hours

Extra time worked = 7 hour

Wage paid per extra hour = $11.50 / 2 = $5.75

Find:

Total amount earned

Computation:

Total amount earned = [Wage per hour][Time worked] + [Extra time worked][Wage paid per extra hour]

Total amount earned = [11.50][40] + [7][5.75]

Total amount earned = [460] + [40.25]

Total amount earned = $500.25

Answer:

20÷10=2. 10,000÷10=1,000

Therefore, the probability of two randomly selected chips being defective is 2 in 1,000 or 2/1,000