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 26 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.

Answer:

375 ft

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{d}{125}[/tex] = [tex]\frac{30}{10}[/tex] ( cross- multiply )

10d = 3750 ( divide both sides by 10 )

d = 375 ft

You need the starting point, and another point that helps direct where the ray is aimed. Call these two points A and B.

Saying "Ray AB" means we extend a line through AB such that the line goes forever through B and beyond B, but we do not do the same for point A. The point A is effectively a cliff where no road goes on the other side of it. Check out the diagram below to see what I mean. The arrow means the line goes on forever in that direction.

Answer:

Step-by-step explanation:

[tex]-38-25+25-50[/tex]

Follow the PEDMAS order of operation

Add and subtract left (left to right )

[tex]\mathrm{Apply\:rule\:}-\left(-a\right)\:=\:+a\\-\left(-25\right)=+25\\\\=-38+25+25-50\\=-13+25-50\\-13+25=12\\=12-50\\12-50=-38[/tex]

Answer: [tex]-38[/tex]

Add parentheses

[tex](-38--25)+(25-50)[/tex]

Subtract

[tex]-38-(-25)=-13\\25-50=-25[/tex]

Add

[tex](-13)+(-25)=-38[/tex]

Answer:

It will take 7.5 gardeners to plant 45 trees in 45 minutes

Step-by-step explanation:

It takes 3 gardeners 30 minutes to plant 18 trees.

Let's determine the rate of this 3 gardeners

Rate= 18 trees/30 minutes

Rate= 2/5 trees per minute

So 3 gardeners= 2/5 trees per minute

But then one Gardner= 2/(3*5) trees per minute

One Gardner=2/15 trees per minute

Let's determine the number of gardeners it will take to plant 45 trees in 45 minutes

One Gardner=2/15 trees per minute

X(22 /3)= 2/15*(22.5/3)

It will take 7.5 gardeners to plant 45 trees in 45 minutes

Answer:

The correct option is (a).

Step-by-step explanation:

The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.

In this case, a hypothesis test for a significant positive correlation is to be performed to determine whether the claim made by the policeman is true or not.

The hypothesis can be defined as follows:

H₀: There isn't a positive correlation between the number of text messages drivers send while driving and the likelihood of being in a car accident, i.e. ρ ≤ 0.

Hₐ: There is a positive correlation between the number of text messages drivers send while driving and the likelihood of being in a car accident, i.e. ρ > 0.

Consider the first option.

The sample correlation computed from 30 samples data is,

r = 0.38

The correlation is positive and the sample size is large enough to rely on the  sample data.

The p-value of the test is, p < 0.05.

As the p-value is less than 5% level of significance, the null hypothesis will be rejected.

Thus, concluding that there enough evidence to support the policeman's belief.

Thus, the correct option is (a).

Answer:

The 16th Century began on January 1st of 1600

Answer:

1 January 1501

hope it helps.

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

Let's simplify step by step.

[tex]9x^{-53}[/tex] × [tex]9x^{37}[/tex]

[tex]= ( 9x^{-53}[/tex] × [tex]9x^{37})[/tex]

[tex]= 9x^{-53}[/tex] × [tex]9x^{37}[/tex]

[tex]= 9x^{-16}[/tex]

[tex]= \frac{1}{_{9} 16}[/tex]

[tex]= \frac{1}{1853020188851841}[/tex] (Decimal: 0)

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

Answer:

8.2

Step-by-step explanation:

We can use the distance formula: [tex]\sqrt{((x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

[tex]\sqrt{(10-2)^2 + (7-9)^2} = \sqrt{8^2 + (-2)^2} = \sqrt{64+4} = \sqrt{68} = 2\sqrt{17} = 8.2[/tex]

Answer:

-4x + 11

Step-by-step explanation:

Distribute and then Simplify

Answer:

B

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula.

The distance formula is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let's let (-6,-5) be x₁ and y₁ and let (2,0) be x₂ and y₂. Therefore:

[tex]d=\sqrt{(2--6)^2+(0--5)^2}[/tex]

Simplify:

[tex]d=\sqrt{(8^2)+(5)^2[/tex]

Square and add:

[tex]d=\sqrt{64+25}\\d=\sqrt{89}[/tex]

Use a calculator:

[tex]d\approx9.4340[/tex]

Our answer is B :)

Answer:

0.8888

Step-by-step explanation:

Step-by-step explanation:

Remember: when we divide fractions, we always:

• Flip the sign (change it to a multiplication sign)

• Flip the second fraction (4 goes on top and 3 goes on the bottom)

Now we have the rules covered, let's set up our expression.

[tex]\frac{2}{3} *\frac{4}{3}[/tex]

To multiply, we just have to multiply across. 2 • 4 is 8, and 3 • 3 is 9.

Our final answer: [tex]\frac{8}{9}[/tex]

I hope this helps you!

Answer:

63

Step-by-step explanation:

The answer is 63 because k/3 =63

k/3-9=12

We move all terms to the left:

k/3-9-(12)=0

We add all the numbers together, and all the variables

k/3-21=0

We multiply all the terms by the denominator

k-21*3=0

We add all the numbers together, and all the variables

k-63=0

We move all terms containing k to the left, all other terms to the right

k=63

Brainliest please i just need 10 to move to next level

An equation is formed when two equal expressions. The value of k in the given equation is 63. The correct option is D.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given the equation k3-9=12.

Now, for the given equation the value of k can be found by solving the equation,

k/3 – 9 = 12

k/3 – 9 + 9 = 12 + 9

k/3 = 21

k/3 × 3 = 21 × 3

k = 63

Hence, the value of k in the given equation is 63.

Learn more about Equation here:

https://brainly.com/question/2263981

#SPJ2

Answer:

$13.60 before sales tax

Step-by-step explanation:

$20 x .85 (aka 15% off) = $17

then

$17 x .80 (aka 20% off) = $13.60

Answer:360A/pi ^2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

i got it right

===================================================

Work Shown:

[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)\\\\P(A \cap B) = 0.78 + 0.65 - 0.873\\\\P(A \cap B) = 0.557\\\\[/tex]

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

Side note:

A similar formula is [tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

We can isolate the last term to get the first equation shown above.

Answer:

===================================================

Work Shown:

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

Side note:

A similar formula is

We can isolate the last term to get the first equation shown above.

Step-by-step explanation:

Answer:

Length of the pole = 10.8 ft

Depth of the snow = 7.2 ft

Step-by-step explanation:

The correct question is

A vertical pole is placed in the ground at a campsite outside Salt Lake City, Utah. One winter day, 1/6 of the pole is in the ground, 2/3 of the pole is covered in snow, and 1.8 ft is above the snow. How long is the pole, and how deep is the snow.

The fraction of the pole in the ground = 1/6

The fraction of the pole in the snow = 2/3

The length of the pole above the snow = 1.8 ft

Total fraction of the length of the pole = 1

For the fraction of the length above the snow, we solve as

1/6 + 2/3 + [tex]x[/tex] = 1

[tex]x[/tex] = 1 - 1/6 - 2/3 = 1/6

This means that the length of the pole above the snow 1.8 ft = 1/6 of the length of the pole.

Also, the fraction of the pole in the ground = 1/6

this means that the length of the pole in the ground = 1.8 ft

If 1/6 of the length of pole is 1.8 ft,

the length of the pole = 1.8 ft x 6 = 10.8 ft

Length of the pole in the snow = 2/3 of 10.8 = 2/3 x 10.8 = 7.2 ft

this means that the the snow is 7.2 ft deep

Answer:

188 students would play sports, out of 1,000.

Step-by-step explanation:

If the probability that a random high school student plays a sport is 0.188 (150/800), which means for every 1 high school student 0.188 of them play a sport. Multiply 0.188x1,000 to get 188 students who play a sport.

Answer:

Yes it is a rational number

Step-by-step explanation:

Rational numbers include positive, negative numbers and 0 that can be ritten as ratio.

Answer:

yes

Step-by-step explanation:

ratio numbers include negatives and positives

Answer:

Danica made 11 dollars per hour.

Step-by-step explanation:

Divide- 440/40=11

Check 11*40=440

She made 11 dollars per hour.

Answer:11

Step-by-step explanation:

$4.27

(3.96) 1.08

4.27

Answer:

-q

Step-by-step explanation:

We know that we are trying to find an expression equivelant to p - q:

p - q can be p - 1q

We can then put parenthesis around -1q:

p + (-1q)

We then can simplify:

p + (-q)

Answer:

19

Step-by-step explanation:

Assuming that [tex]l[/tex] represents length and [tex]w[/tex] represents width, we can make a systems of equations and solve for l and w.

[tex]2l+2w=60[/tex], since the perimeter of a rectangle will be double the length plus double the width.

Also we can make the equation [tex]l = 2w+3[/tex], as stated in the last part of the question.

We can now substitute the value of [tex]2w+3[/tex] into the equation [tex]2l+2w=60[/tex] as l.

[tex]2(2w-3) + 2w = 60\\\\4w-6+2w=60\\\\6w-6=60\\\\6w=66\\\\w = 66\div6\\\\w = 11[/tex]

So we know the width is 11. Now that we know the width, we can substitute it back into the equation  [tex]l = 2w+3[/tex] to find the length.

[tex]l=2\cdot11-3\\\\l=22-3\\\\l=19[/tex]

So the length is 19.

Hope this helped!

Question options :

A)64

B)192

C)128

D)384

Answer:

B)192

Step-by-step explanation:

Please find attachment

Answer: A

Step-by-step explanation:

To find the average rate of change, you use the formula [tex]\frac{f(b)-f(a)}{b-a}[/tex]. The best way to get the correct answer is to plug in each interval to make sure it equals 0.

-1 ≤ x ≤ 2: Correct

[tex]\frac{f(2)-f(-1)}{2-(-1)}[/tex]                                    [solve for f(2) and f(1)]

[tex]\frac{1-1}{3}=\frac{0}{3} =0[/tex]

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

-3 ≤ x ≤ -2: Incorrect

[tex]\frac{f(-2)-f(-3)}{-2-(-3)}[/tex]                                  [solve for f(-2) and f(-3)]

[tex]\frac{5-11}{1} =\frac{-6}{1}=-6[/tex]

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

-5 ≤ x ≤ 5: Incorrect

[tex]\frac{f(5)-f(-5)}{5-(-5)}[/tex]                                    [solve for f(5) and f(-5)]

[tex]\frac{19-29}{10} =\frac{-10}{10} =-1[/tex]

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

2 ≤ x ≤ 3: Incorrect

[tex]\frac{f(3)-f(2)}{3-2}[/tex]                                      [solve for f(3) and f(2)]

[tex]\frac{5-1}{1} =\frac{4}{1} =4[/tex]

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

After going through all the intervals, we found that A was the only one that has an average rate of change of 0.

Answer: The formula is meant for slope interception.

m = slope

x = the independent variable

y = the dependent variable

idk if this is the answer you were looking for but I hope it helps!!!

Answer:

a.) 60

Step-by-step explanation:

Margin of Error formula = z × s/√n

z = z score of confidence interval

We are given z score of 99% = 2.58

s = Standard deviation = $36

Margin of Error= ± 12

n= unknown

= 12 = 2.58 × 36/√n

12 × √n = 92.88

√n = 92.88/12

√n = 7.74

Square both sides

(√n)² = 7.74²

n = 59.9076

Approximately n ≈ 60

Therefore, the required sample size = 60

Answer: -10

I believe it is [tex]n^{-10}[/tex] because that would make a fraction: [tex]\frac{1}{n^{10} }[/tex]

Sorry, I haven't done this stuff in a while, but I hope this helped :)

Answer:

  8y -2 = 2x

Step-by-step explanation:

The equation of the perpendicular line will have the coefficients of x and y swapped, and one of them negated. The constant can be found by substituting the given point value:

  8y +constant = 2x . . . . coefficients swapped; former y-coefficient negated

  8(2) +constant = 2(7) . . . . . fill in given point values (x, y) = (7, 2)

  constant = 14 -16 = -2 . . . . subtract 16

The equation can be written as ...

  8y -2 = 2x

_____

Additional comment

Personally, I prefer standard form, which has common factors removed from the coefficients, and has the constant separated from the variable terms:

  x -4y = -1

Some like the slope-intercept form better:

  y = 1/4x +1/4

Apparently, your curriculum author doesn't care how the equation of the line is written, so we have answered with the same form that was given.