help! HURRY! 20 points

Answer:

A

Step-by-step explanation:

calculate the distance using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+( y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = A (5, 1 ) and (x₂, y₂ ) = B (- 3, - 3 )

AB = [tex]\sqrt{(-3-5)^2+(-3-1)^2}[/tex]

     = [tex]\sqrt{(-8)^2+(-4)^2}[/tex]

     = [tex]\sqrt{64+16}[/tex]

     = [tex]\sqrt{80}[/tex]

     = [tex]\sqrt{16(5)}[/tex]

     = [tex]\sqrt{16}[/tex] × [tex]\sqrt{5}[/tex]

     = 4[tex]\sqrt{5}[/tex] → A

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Here, we have to find the value of x

We have given quadrilateral ABCD here , whose angles are as follows

[ The measure of right angled triangle is 90° ]

We know that,

That is

[tex]\bold{\angle{ A + }}{\bold{\angle{B +}}}{\bold{\angle{C + }}}{\bold{\angle{D + = 360{\degree}}}}[/tex]

Subsitute the required values

[tex]\sf{ ( 6x + 5){\degree} + 80{\degree}+ 90{\degree} + (9x - 10){\degree} = 360{\degree}}[/tex]

[tex]\sf{ 6x + 5 + 170{\degree} + 9x - 10 = 360{\degree}}[/tex]

[tex]\sf{ 15x - 5 = 360{\degree} - 170{\degree}}[/tex]

[tex]\sf{ 15x - 5 = 190 {\degree}}[/tex]

[tex]\sf{ 15x = 190 {\degree} + 5 }[/tex]

[tex]\sf{ 15x = 195 {\degree}}[/tex]

[tex]\sf{ x = }{\sf{\dfrac{ 195}{15}}}[/tex]

[tex]\sf{ x = }{\sf{\cancel{\dfrac{ 195}{15}}}}[/tex]

[tex]\bold{ x = 13 }[/tex]

Hence, The value of x is 13 .

[tex]\bold{\huge{\underline{\red{ Verification }}}}[/tex]

Measure of Angle A

[tex]\sf{ = (6x + 5){\degree}}[/tex]

[tex]\sf{ = (6(13) + 5 ){\degree}}[/tex]

[tex]\sf{ = (78 + 5 ){\degree}}[/tex]

[tex]\sf{ = 83{\degree}}[/tex]

Measure of Angle D

[tex]\sf{ = (9x - 10){\degree}}[/tex]

[tex]\sf{ = (9(13) - 10){\degree}}[/tex]

[tex]\sf{ = (117 - 10 ){\degree}}[/tex]

[tex]\sf{ = 107{\degree}}[/tex]

Now, we know that,

That is,

[tex]\sf{ 83{\degree} + 80{\degree}+ 90{\degree} + 107 {\degree} = 360{\degree}}[/tex]

[tex]\sf{ 163{\degree}+ 90{\degree} + 107 {\degree} = 360{\degree}}[/tex]

[tex]\sf{ 253{\degree}+ 107 {\degree} = 360{\degree}}[/tex]

[tex]\sf{ 253{\degree}+ 107 {\degree} = 360{\degree}}[/tex]

[tex]\bold{ 360{\degree} = 360{\degree}}[/tex]

[tex]\bold{ LHS = RHS }[/tex]

Hence, Proved.

Answer: $51,800

Step-by-step explanation:

if the value increases by 10% every year, we can represent this as a linear function, in the form:

y = mx + b

y = [0.1(37,000)]x  + 37,000

0.1 x 37000 represents the 10% increase per year, and x represents the number of years that have passed. we add 37,000 at the end to represent the original cost of the painting.

we can simplify the 0.1(37,000) to 3700, which is how much the painting's cost should increase per year. so our equation is:

y = 3,700x + 37,000

So, in 4 years, the painting will be worth:

y = 3,700(4) + 37,000

14,800 + 37,000

$51,800

Considering that we have two samples, and the standard deviation for each sample, the correct test is given by:

iii. A two-sample -interval for a difference between population means.

Here, there are two samples, and we will investigate their difference. The information taken from the sample is expanded to the population, and since we have the standard deviation for each sample, a t-test is used, hence the correct option is given by:

iii. A two-sample -interval for a difference between population means.

More can be learned about hypothesis tests at https://brainly.com/question/26454209

Answer:

4 (5c - 2d)

Step-by-step explanation:

We factorise .

4×5c - 4×2d

20c -8d

Hope it helped.

Answer:

$360

Step-by-step explanation:

Answer: 8,000

Have a blessed day.

Answer:

63/80 and 7/4 * 9/20

Step-by-step explanation:

7/8 * 9/10 = 63/80

7/4 * 9/20

The difference in volume of the two compartments is 210 cm³

Volume is the amount of space occupied by a three dimensional shape or figure.

The volume of the compartment = area of base * height

Area of base (trapezoid) = (1/2)(sum of parallel side)(height) = (1/2) * (15 + 5) * (7) = 70 cm²

Volume of compartment = 70 * 8 = 560 cm³

For the new compartment, height = 8 + 3 = 11 cm, hence:

Volume of new compartment = 70 * 11 = 770 cm³

Difference in volume = 770 cm³ - 560 cm³ = 210 cm³

The difference in volume of the two compartments is 210 cm³

Find out more on volume at: https://brainly.com/question/12410983

Answer:  210 because I got it correct on the k12.

Step-by-step explanation:

Answer:

Reflect across line m ----> Translate to the right

Step-by-step explanation:

Step-by-step explanation:

5⁴(3406 - 867) + (1.9 x 6)

=625(2539) + 11.4

= 1586875 + 11.4

=1586886.4

Answer:

= 1586886.4

Step-by-step explanation:

5^4 = 5 x 5 x 5 x 5
= 625

625(3406 - 867)
625 x 3406
= 2128750

625 x 867
= 541875

2128750 - 541875
= 1586875

1.9 x 6
= 11.4

1586875 + 11.4
= 1586886.4

Answer:R11.718

R10.85*108/100=R11.718

Step-by-step explanation:

Answer:

262,576.28

Step-by-step explanation:

35,000(1+.065)^32

Answer:

22.5

Step-by-step explanation:

Zoe gets 4 parts out of 7. 30/4 is 7.5.

So 7.5 is one part.

3 parts is 7.5x3=22.5

Step-by-step explanation:

inequalities follow basically the same rules as equalities (ahem, equations). for creation and calculation.

you just indicate whole areas above or below given lines.

behind every inequality is a "normal" equation that defines the delimiter.

the question already tells us which variables to use.

x = number of hot dogs

y = number of peanuts (I guess, bags of peanuts)

he wants to buy at least 4 snacks.

hmmm.

what would you do, if the question asked us :

he wants to buy 4 snacks.

what did you learn from the previous questions ?

the equation would be

x + y = 4.

but now it asks us about "at least" 4 snacks. so every solution, 4 or more, is valid. not only 4.

so, the inequality is

x + y >= 4

and he has $20 to buy these snacks.

again, with equations we would have said

3x + 2y = 20

remember, a hot dog costs $3, a bag of peanuts costs $2. so, every single hot dog and every single bag of peanuts brings itself into the cost calculation with that amount.

x hot dogs cost $3x. y bags of peanuts cost $2y.

but here, we are now flexible. he can spend $20, but he does not have to fully exceed his budget. he can also spend less.

so, the inequality is

3x + 2y <= 20

together these inequalities now describe the situation that he cannot spend more than $20, but he can spend as little as he wants, as long as he gets at least 4 snacks.

all combinations of x and y values that satisfy these conditions are valid solutions.

the actual solution would be then more complex, as the real life scenario gives us more constraints :

0 <= x <= 6 (because with more than 6 hot dogs alone he would already bust his budget).

0 <= y <= 10 (after buying 10 bags of peanuts the $20 are gone).

that eliminates the negative value solutions that the basic 2 equations would allow.

Answer:

Yes, it would still be considered a hexagon. The reason why we require "6 angles" is probably just because you don't want the 6 lines to cross and create "more than 6 angles". The hexagons you are probably thinking of (the one with all the angles and sides equal) would be regular hexagons.

Answer:

P   = 6 2/3 ft

Step-by-step explanation:

The formula for the perimeter of a rectangle of length L and width W is

P = 2(L + W).

Here the perimeter is P = 2(1 2/3 + 5/6) = 2(5/2 + 5/6)

                                                                  = 2(15/6 + 5/6) = 2(20/6)

                                                                  = 40/6 = 20/3

                                                              P   = 6 2/3 ft

Answer:

4 inches squared… but if this is wrong it’s probably because you didn’t specifically say what shape it is

Answer:

£24

Step-by-step explanation:

= 3/(7+3) × £80

= 3/10 × £80

= £24

Answer: C

Step-by-step explanation:

Since an octagon has 8 interior angles, the sum of the measures is 135(8)=1080.

Answer: 15.75

Step-by-step explanation: 4.5 x 3.5

6 plates with 3 spoons or 9 plates with 2 spoons

Answer:

Step-by-step explanation:

The arc angle LM of the circle is 60 degrees.

The arc angle LM of the circle can be found as follows:

The central angle of an arc is the central angle subtended by the arc. The measure of an arc is the measure of its central angle.

Therefore, let's find the central angle that subtend LM in the circle as follows:

central angle = 180 - 120 = 60 degrees(angle on a straight line)

Hence, the central angle is equals to the arc angle.

Therefore,

arc LM = 60 degrees

learn more on angles here: https://brainly.com/question/28626462

#SPJ1

Step-by-step explanation:

please mark me as brainlist please

Answer:

=10cm

Step-by-step explanation:

=4times5 divided by 2

But that is only one triangle, the whole area is 40cm*2

Answer:

6/5

Step by step explanation:

Here we are provided with a equation which is ,

[tex]\longrightarrow 15x + 18y = 270 [/tex]

And we are interested in finding the slope of the line which is perpendicular to the given line. We may rewrite the equation as ,

[tex]\longrightarrow 18y = -15x +270\\ [/tex]

[tex]\longrightarrow y =\dfrac{-15x+270}{18}\\[/tex]

[tex]\longrightarrow y =\dfrac{-15}{18}x +\dfrac{270}{8}\\ [/tex]

[tex]\longrightarrow y =\dfrac{-5}{6}x +\dfrac{135}{4} [/tex]

Recall the slope intercept form of the line which is y = mx + c .On comparing to which we get ,

[tex]\longrightarrow m =\dfrac{-5}{6} [/tex]

Again , recall that product of slopes of two perpendicular lines is -1. So that ,

[tex]\longrightarrow m_{\perp} =-\bigg(\dfrac{1}{m}\bigg)[/tex]

Hence ,

[tex]\longrightarrow\underline{\underline{ m_{\perp}= \dfrac{6}{5}}}[/tex]

And we are done !

The slope of the line perpendicular to the line with the equation 15x + 18y = 270 is 6/5.

The equation of the given line is 15x + 18y = 270. To find the slope of this line, we need to rearrange the equation into slope-intercept form, which is y = mx + b, where 'm' represents the slope.

First, solve for 'y':

18y = -15x + 270

y = (-15/18)x + 270/18

y = (-5/6)x + 15

The slope of the given line is -5/6.

For a line perpendicular to this, the slope will be the negative reciprocal of -5/6. The negative reciprocal of a fraction 'a/b' is -b/a.

So, the slope of a line perpendicular to the given line is:

Slope = -(-6/5) = 6/5

Fully simplified, the slope of the line perpendicular to the line with the equation 15x + 18y = 270 is 6/5.

To know more about slope:

https://brainly.com/question/3605446

#SPJ3

Answer:

A

Step-by-step explanation:

x^2-14x+49 factors into (x-7)(x-7) or (x-7)^2