Determine the value of w, then x, then y, and finally z.

Step-by-step explanation:

x° + (x - 34)° = 180°. (C-angles)

Thereforr 2x - 34 = 180 and x = 107.

x° = 107°.

(x - 34)° = 73°.

Answer:

NO.

Step-by-step explanation:

An irrational number cannot be written as a fraction.

Answer:

Solution will be 1/15625

Step-by-step explanation:

Substitute the value of first term for ar^(4-1) for the third term with 1/25 on RHS, make r the subject (which is the common ratio)

you'll get r as 1/5

Now for the eighth term, replace the "4" in the formula with "8" and a with "5" and observe the magic.

Answer:

14

Step-by-step explanation:

The perimeter is the sum of the sides, so we have

2x+x+15+4x-7=57

= 7x+8

Subtracting 8 from both sides, we get

7x= 49

Dividing 7 from both sides, we get

x=7

Our sides are then 2x=14, x+15=22, and 4x-7=21. 14 is our answer

Answer:

The shortest length of the triangle is: 14

Hence, option B is correct.

Step-by-step explanation:

Given the triangle with the lengths

Given that the perimeter of triangle = P = 57

We know that the perimeter of a triangle is the sum of the lengths of the sides of a triangle.

so

[tex]P = (x+15)+(4x-7)+(2x)[/tex]

substitute P = 57

[tex]57 = (x+15)+(4x-7)+(2x)[/tex]

switch sides

[tex]\left(x+15\right)+\left(4x-7\right)+\left(2x\right)=57[/tex]

[tex]x+15+4x-7+2x=57[/tex]

Group like terms

[tex]x+4x+2x+15-7=57[/tex]

Add similar elements

[tex]7x+15-7=57[/tex]

[tex]7x=49[/tex]

divide both sides by 7

[tex]\frac{7x}{7}=\frac{49}{7}[/tex]

simplify

[tex]x=7[/tex]

Now, measuring the lengths by substituting x = 7

Therefore, the shortest length of the triangle is: 14

Hence, option B is correct.

Answer:

1/20

Step-by-step explanation:

Take 1/12 and 2/15 and find a common denomitator of 180 then multiply the tops to get 24/180 for 1/2 and 15/180 for 2/15 and then subtract to get 9/180

Finally simify to get 1/20

Answer:

Step-by-step explanation:

The distance required is the length of the tunnel added to the length of the train

Time is:

Answer:

Dana has 20 French fries.

They can purchase 5 bottles.

Step-by-step explanation:

1.

Let x rep. the amount of French fries Johnathan has.

Let 2x rep. the amount of French fries Abdullah has.

Let 10x rep. the amount of french fries Dana has.

If :

x+2x+10x=26

13x=26

x=2

So Johnny boy has 2 french fries which means Dana has 10 times as much as that.

10(x)=10(2)

10x=20

Therefore Dana has 20 French fries.

2.

Well

5.12+2.77+4=$11.89

11.89/1.99= APPROX. 5.9

Note you can't buy a fraction of a bottle. We gotta round down for this question cause you can't just give less amount of cash to get an extra bottle even if it's very close. Unless your teacher said to round something.

Therefore they can only purchase 5 bottles.

Answer:

7  1/2 feet

Step-by-step explanation:

Answer:

36.04

The amount of the tip is approximately $

$7.00

O $7.20

0 $7.25

$7.50

Step-by-step explanation:

Answer:

Length of a side of a square = 2√2 units

Step-by-step explanation:

Let the length of a square is 'x' units.

Therefore, Area of the square A = (Side)²

                                                      = x² square units

And by Pythagoras theorem,

(Diagonal)²= (Side 1)² + (Side 2)²

                 = x² + x²

                 = 2x²

Diagonal 'p' = x√2 units

It is given in the question that area of the square is increasing four times as fast as the diagonals.

[tex]\frac{d(A)}{dt}=4(\frac{dp}{dt} )[/tex] -------(1)

[tex]\frac{d(A)}{dt}=\frac{d(x^2)}{dt}[/tex]

[tex]\frac{d(A)}{dt}=2x\frac{d(x)}{dt}[/tex]

Similarly, [tex]\frac{d(p)}{dt}=\frac{d(x\sqrt{2})}{dt}[/tex]

                      [tex]=\sqrt{2}\frac{dx}{dt}[/tex]

Now by placing the value of [tex]\frac{d(A)}{dt}[/tex] and [tex]\frac{d(p)}{dt}[/tex] in equation (1),

[tex]2x\frac{dx}{dt}=4\sqrt{2}\frac{dx}{dt}[/tex]

[tex](2x - 4\sqrt{2})\frac{dx}{dt}=0[/tex]

Since, [tex]\frac{dx}{dt}\neq 0[/tex]

[tex](2x - 4\sqrt{2})=0[/tex]

x = 2√2

Therefore, length of a side of the square is 2√2.

Answer:

The three points that lie on a line y = -2/5x with a slope -2/5 will be:

Please check the attached graph also.

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept

Given

slope = m = -2/5

We suppose the line passes through the origin.

so b = 0

substituting m = -2/5 and b = 0 in the slope-intercept form

[tex]y = mx+b[/tex]

y = -2/5x + 0

y = -2/5x

Thus, the equation of line with the slope m = -2/5 and passes through the origin (0, 0) will be:

y = -2/5x

As the equation of line passes through (0, 0), thus the point (0, 0) lies on the line.

Putting x = 0 in the equation y = -2/5x

y = -2/5 × (0)

y = 0

Thus, (0, 0) is the point which also passes through the line

Putting x = 5 in the equation y = -2/5x

y = -2/5 × 5

y = -2

Thus, (5, -2) is the point which also passes through the line

Now, putting x = 10 in the equation y = -2/5x

y = -2/5 × 10

y = -4

Thus, (10, -4) is the point which also passes through the line.

Thus, the three points that lie on a line y = -2/5x with a slope -2/5 will be:

Please check the attached graph also.

9514 1404 393

Answer:

  5x -3y = -21

Step-by-step explanation:

The parallel line will have the same x- and y-coefficients, but a constant suitable for the given point.

  5x -3y = constant

  5(-6) -3(-3) = constant = -30 +9 = -21

The equation of the line is ...

  5x -3y = -21

Answer:

6 ; 9 ; 11 ; 12.5; 14

B.) 3.5

Step-by-step explanation:

Given the data:

6 9 9 10 11 11 12 13 14

a.) The low = 6 (lowest value in the dataset)

b.) Q1 = Lower quartile

Q1 = 1/4(n + 1)th term

n = sample size = 9

Q1 = 1/4(9 + 1) ; 1/4(10) = 2.5th term

Q1 = (2nd + 3rd term) / 2 = (9 + 9) / 2 = 9

Median Q2:

Q2 = 1/2(9 + 1) ; 1/2(10) = 5th term = 11

Upper Quartile Q3:

Q3 = 3/4(9 + 1) ; 3/4(10) = 7.5th term

Q3 = (7th + 8th term) / 2 = (12 + 13) / 2 = 12.5

Interquartile range (Q3 - Q1)

(12.5 - 9) = 3.5

The high = 14 (highest value in the dataset)

Answer:

Yes, there is enough information to prove that the triangles are congruent.

ASA POSTULATE

Step-by-step explanation:

[tex] In\:\triangle PQR \: and \triangle TSR\\[/tex]

[tex] \angle PQR \cong \angle TSR...(given) \\[/tex]

[tex] QR\cong SR..... (given) \\[/tex]

[tex] \angle PRQ \cong\angle TRS\\(Vertical \: \angle s) \\[/tex]

[tex] \therefore \triangle PQR \cong \triangle TSR\\(ASA\: postulate) [/tex]

Answer:

Step-by-step explanation:

Given

We have two angles and included side congruence which is ASA

Answer:

[tex]\frac{12a^3b^6c^5}{3a^2b^4c^5}=4ab^{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{12a^3b^6c^5}{3a^2b^4c^5}[/tex]

Required

Simplify

[tex]\frac{12a^3b^6c^5}{3a^2b^4c^5}[/tex]

To solve this, we apply the following law of indices:

[tex]\frac{m^x}{m^y} = m^{x-y}[/tex]

[tex]\frac{12a^3b^6c^5}{3a^2b^4c^5}[/tex] becomes

[tex]\frac{12}{3}a^{3-2}b^{6-4}c^{5-5}[/tex]

[tex]\frac{12}{3}a^{1}b^{2}c^{0}[/tex]

[tex]c^0 = 1[/tex]; So, we have

[tex]\frac{12}{3}a^{1}b^{2}*1[/tex]

Finally,

[tex]4ab^{2}[/tex]

Hence:

[tex]\frac{12a^3b^6c^5}{3a^2b^4c^5}=4ab^{2}[/tex]

Answer:

4 14/15 more pounds of roast beef

Step-by-step explanation:

subtract 4 2/3 from 9 3/5

9 3/5 - 4 2/3= 4 14/15

So your answer is 4 14/15

Answer:

math is a difficult subject

Answer:

True

Step-by-step explanation: Trust me

Answer:

graph attached

Step-by-step explanation:

27x - 15y = 1350

15y = 27x -1350

y = 27/15 x - 1350/15

y = 9/5 x - 90

y = mx + b     y intercept (b) = -90

y=0  x = 90 * 5/9 = 50   x intercept

Step-by-step explanation:

Given function

Easy way to find x- and y-intercepts and graph the line:

x-intercept found when y = 0

y-intercept found when x = 0

So the points are:

Plot these two points on a coordinate plane and connect with a line

Answer:

He rode 20 miles in 2 hours

Answer:

730% 23% and 40%

Step-by-step explanation:

.......

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

Work Shown:

Subtract the values to get 2.1-1.5 = 0.6

Brianna is off by 0.6 liters

Divide that error by the true value 1.5 to get 0.6/1.5 = 0.40

Then move the decimal point 2 spots to the right to arrive at 40%

Therefore, the percent error is 40%

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

The formula you can apply is:

[tex]P = \frac{|G-T|}{T}*100\%[/tex]

where

P = percent error

G = guess value (in this case it is 2.1)

T = true value (which is 1.5 in this case)

If we were to apply the formula, then we get:

[tex]P = \frac{|G-T|}{T}*100\%\\\\P = \frac{|2.1-1.5|}{1.5}*100\%\\\\P = \frac{|0.6|}{1.5}*100\%\\\\P = \frac{0.6}{1.5}*100\%\\\\P = 0.40*100\%\\\\P = 40\%\\\\[/tex]

Answer:

1/3 would be the chances you'd pick purple, because there's only 1 in 3 that's purple out of all 3 marbles.

With green it would be 2/3 because there's twice the number of green marbles than purple.

If there's 1 of purple and 1 of green, the probability would then be 1/2 of picking either colour.

Answer:

number 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Discount amount:

Sale price:

Answer:

9.60

Step-by-step explanation:

i did the quiz

Answer:

Step-by-step explanation:

This is about converting polar coordinate to rectangular

Relationship between coordinates is:

then

We have θ = 5π/6, finding the value of tan:

Substitute tan with its value:

Correct option is D

Answer:

I did option d !!

Step-by-step explanation:

Answer:

[tex]3x - 15 = 150 \\ 3x = 165 \\ x = 55[/tex]

Answer:

72 miles

Step-by-step explanation:

60% times 45 = 27

27 + 45 = 72

Answer is 72 miles

Answer:

Ema's Family would drive 72 miles

Step-by-step explanation:

Hope this helps :)

And I hope this is correct