Prove segment LJ = segment MO

If 8% of a number equals 30, 40% of that number 150.

The percentage of a given number is the fraction of that number divided by 100.

Let assume that the unknown number is (a).

i.e.

Making (a) the subject of the formula now;

Now, we are meant to determine the 40% of that unknown number (a)

Since (a) has been determined to be 375.

Then, 40% of 375 is calculated as:

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Answer:

done.

Step-by-step explanation:

yeah-ya..... right?

Answer:

x=5

Step-by-step explanation:

3(x-2)=9

3x-6=9

3x=9+6

=15

x=15÷3

=5

Answer:

m∠ ACB = 60°

Step-by-step explanation:

If AB║CD  if m∠

Answer:

Step-by-step explanation:

gg

Answer:

x = -2 and y = 4

Step-by-step explanation:

We have given a system of equations

2x + 4y =12   ...........(1)

and

x + y = 2         .............(2)

Now to plot them in graph we need to find the points of the above linear equations .

From equation 1  ,we get

4y=12-2x

[tex]y=\frac{12-2x}{4} \\y=3-\frac{x}{2} \\[/tex]

Put x=0, then

[tex]y=3-\frac{0}{2} =3\\[/tex]

Put x=6

[tex]y=3-\frac{6}{2}=3-3=0[/tex]

So get the points (0,3) and (6,0).

From equation 2 ,we get

y=2-x

put x=0

y=2-0=2

put x=2

y=2-2=0

So we get the points (0,2) and (2,0).

So after plotting these points we get two lines intersecting at (-2,4).

Therefore our solution is x=-2 and y= 4.

Warren ran 10 km in 60 minutes or 1 hour.

Proportionality is a case when two ratios are equal.

Given that Warren runs for charity, so, he runs for a hospital a 5-kilometer race in 30 minutes, on the same rate he ran a 10-kilometer race to support the animal shelter.

We need to find the time taken by him when he ran 10 km race.

Since, the rate of running is same, that means the speed was equal in both races,

Let t be the required time,

Therefore, using the concept of proportionality,

5 / 30 = 10 / t

5t = 300

t = 60

Therefore, he ran 10 km in 60 minutes or 1 hour.

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Answer:

Step-by-step explanation

there are 80 boxes in total

Answer:

hi hi hi hi hi hi hi hi hi hi hi hi hi

If ZM is an obtuse angle (greater than 90), then ZM and ZP will not add up to 90.

If ZP is 120, then ZM and ZP will not add up to 90.

There are multiple contradicting statements within this problem, as noted above.

Hope this helps!

Options A and B are two contradict statements.

The four statement are given, we need to find the two contradict statements.

The definition of an obtuse angle in geometry states that 'an angle whose measure is greater than 90° and less than 180° is called an obtuse angle.

Here, m∠M is an obtuse angle and m∠M +m∠P= 90° are two contradict statements

Since, in m∠M +m∠P= 90° two angles adds up to 90°, so m∠M can not be obtuse angle.

Therefore, options A and B are two contradict statements.

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Answer:

20 m by 10 m

Step-by-step explanation:

let w be width and l be length , then

2(l + w) = 60 ( divide both sides by 2 )

l + w = 30 ( subtract w from both sides )

l = 30 - w → (1)

lw = 200 → (2)

Substitute l = 30 - w into (2)

w(30 - w) = 200 ← distribute parenthesis on left side

30w - w² = 200 ( subtract 200 from both sides )

30w - w² - 200 = 0 ( multiply through by - 1 )

w² - 30w + 200 = 0 ← in standard form

(w - 10)(w - 20) = 0 ← in factored form

Equate each factor to zero and solve for w

w - 10 = 0 ⇒ w = 10

w - 20 = 0 ⇒ w = 20

Substitute these values into (1)

l = 30 - 10 = 20

l = 30 - 20 = 10

dimensions of field is 20 m by 10 m

Answer:

THIS IS THE REPRENTATION :I(LENGTH ),W(WIDTH)

2IW= 200

I,II USE THE SUBSTITUTION METHOD SINCE :I=30-W WE CAN SUBSTITUTE THE LENGTH TO 30

-W TO IW=200

(30-W)W=200

W2 + 30W=200---------------TRANSPOSE -w2

+30w

w2-30w +200 = 0------------------- USE FACTORING

(W-20)(w-10 =0----------------- THEN EQUATE EACH FACTOR TO ZERO

W- 20=0 W-10 =0

W=20 W=10

THEN SUBSTITUTE THE VALUE OF w TO ANY OF THE EQUATIONS TO GET THE VALUE OF I

Iw =200 Iw=200

I(20) =200 I(10)

I(20)/20= 200/20 I(10)/10

=200/10

I=10

Answer:

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:D-5

Step-by-step explanation:

Answer:

Yards: 83.58

Feet: 250.75

Inches: 3009

Step-by-step explanation:

Yards: 1 yard = 36 inches

3009/36= 83.58

So if each yard is 36 inches and there are 83.58 sets of 36 inches in 3009 then that's how many yards you have.

Feet: 1 foot = 12 inches

3009/12= 250.75

Again, if each foot is 12 inches and there are 250.75 sets of 12 inches in 3009 then that's how many feet you have.

Inches: It's already in inches :)

I hope this isn't confusing and I could help!

Answer:

Yards : 83.5833333   Feet:250.75     Inches: 9

BC = BD

Step-by-step explanation:

AC = AD

because AB bisect ∠A or

∠CAB = ∠BAD

∴ So, BC = BD

Answer:

Answer:

x= 9

Step-by-step explanation:

<2 + 40 + 40 = 180 degree

<2 = 180 - 40 - 40

<2 = 100

m<2 = x + 109

x = 109 - <2 = 109 - 100 = 9

Answer:

Step-by-step explanation:

[(-2)²×3]÷[(-9)-5+2]

=(4*3)/[(-9)-5+2]

=12/(-12)

=-1

[tex]\large\underline{\sf{Solution-}}[/tex]

We have to evaluate the logarithm.

Given That:

[tex] \rm = \log \bigg( \dfrac{ {a}^{3} {b}^{2} }{ {c}^{4} } \bigg) + \log \bigg( \dfrac{b {c}^{3} }{ {a}^{2} } \bigg) - \log \bigg( \dfrac{a}{c} \bigg)[/tex]

We know that:

[tex] \rm\red\longmapsto \log(x) + \log(y) = \log(xy) [/tex]

[tex] \rm \red\longmapsto \log(x) - \log(y) = \log \bigg( \dfrac{x}{y} \bigg) [/tex]

Therefore, we get:

[tex] \rm = \log \bigg( \dfrac{ {a}^{3} {b}^{2} }{ {c}^{4} } \times \dfrac{b {c}^{3} }{ {a}^{2} } \bigg) - \log \bigg( \dfrac{a}{c} \bigg)[/tex]

[tex] \rm = \log \bigg( \dfrac{ {a}^{3 - 2} {b}^{2 + 1} }{ {c}^{4 - 3} } \bigg) - \log \bigg( \dfrac{a}{c} \bigg)[/tex]

[tex] \rm = \log \bigg( \dfrac{a{b}^{3} }{c} \bigg) - \log \bigg( \dfrac{a}{c} \bigg)[/tex]

[tex] \rm = \log \bigg( \dfrac{a{b}^{3} }{c} \div \dfrac{a}{c} \bigg)[/tex]

[tex] \rm = \log \bigg( \dfrac{a{b}^{3} }{c} \times \dfrac{c}{a} \bigg)[/tex]

[tex] \rm = \log( {b}^{3})[/tex]

As we know that:

[tex]\rm \red\longmapsto \log( {x}^{n}) = n \log(x)[/tex]

Therefore, we get:

[tex] \rm = 3\log(b)[/tex]

Answer: (n^6 j^6)/(8h^5)

Step-by-step explanation:

Therefore:  n^6*j^6/8h^5

Answer:2

Step-by-step explanation:

Answer:

[tex]a*a*c*c=a^2×c^2[/tex]

Step-by-step explanation:

Thanks!!!!!!!

Step-by-step explanation:

the average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

so,

(g(4) - g(-5)) / (4 - -5)

g(4) = 4² + 5×4 + 1 = 37

g(-5) = (-5)² + 5×-5 + 1 = 25 - 25 + 1 = 1

4 - -5 = 4 + 5 = 9

(37 - 1)/9 = 36/9 = 4

the average change rate in that interval is 4 (or fully 4/1).

Answer:

-0.09

Step-by-step explanation:

Answer:

No

Brady is 5 cents short

Step-by-step explanation:

.75x3=$2.25

.40x2=0.80

$2.25+0.80=$3.05

Answer:

No

Step-by-step explanation:

3 brownies = $.75 * 3 = $2.25

2 cookies = $.40 * 2 = $.80

$2.25 + $.80 = $3.05, which is over $3

He is 5 cents short.

Hope this helped!

(and taxes of course)

Answer:

-3 F'

Step-by-step explanation:

Answer: Answer in Photo

Answer:

Step-by-step explanation:

m = (y2 - y1)/(x2-x1)

m = (6-2)/(0-8)

m = 4/-8

m = -1/2

y = mx + b

(2) = (-1/2)(8) + b

2 = -4 + b

b = 6

equation of the line is:

y = (-1/2)x + 6