If ON = 9x - 8, LM = 8x + 4, NM = x - 8, and OL = 3y - 5, find the values of x and y for which LMNO must be a parallelogram.​

Answer:

statement

m<abc = m<ghl

reason

transitive property

Step-by-step explanation:

Answer:

4x + 5y= 11

Step-by-step explanation:

2x+2x= 4x

2y+(-3y)=1y

28+(-17)=11

Answer:

40 girls

Step-by-step explanation:

To get the number of girl students, we first do 48 divided by 6 to get 8. Then we do 8 x 5 to get 40.  

Answer:

F = -21

Step-by-step explanation:

the answer is f=-22

the reason is if you subtract 20 from both sides of the equation it will be

f+20=-1

f+20-20=-1-20

Answer:

$132

Step-by-step explanation:

264 divided by 8 = 33. 33 x 4 = 132

Answer:

132

Step-by-step explanation:

Total number of oranges = 264

Total number of oranges in each bag = 8

264 ÷ 8

= 33

33×4

= 132

Answer:

4

Step-by-step explanation:

If you look carefully at the number line between -4 and -8 and see the line between the two, you can see that each mark is |2| apart.

If you go up from -4 to the blue dot, you go: -2, 0, 2, 4. There are 4 lines above from -4, so this matches.

Your answer is 4.

Answer:

Fs = 15 Hz > 12.7322 Hz

Hence, Nyquist theorem is NOT violated

Step-by-step explanation:

Given that;

a signal given by 15cos(20t) + 20sin(40t)

sampled at a rate of 15 Hz

Is the Nyquist theorem violated?

so;

from 15cos(20t) + 20sin(40t)

Freq F1 = 20/2π  Hz

F1 = 3.1830 Hz

and

Freq F2 = 40/2π

F2 = 6.3661 Hz

Now, Nyquist's rate FN ≥ 2 × F_max

FN ≥ 2 × 6.3661

FN ≥ 12.7322 Hz

Now our given signal was sampled at a rate of 15 Hz

so, Fs = 15 Hz > 12.7322 Hz

Hence, Nyquist theorem is NOT violated

Answer:

c. 3/5

Step-by-step explanation:

With reference angle A

perpendicular (p) = 3

hypotenuse (h) = 5

Now

Sin A =

[tex] \frac{p}{h} \\ = \frac{3}{5} [/tex]

Hope it will help :)

Answer:

The answer is 5/4

Step-by-step explanation:

Answer:

$5?

Step-by-step explanation:

3 x 4=12

12 is a dosen

1.25 x 4=5

Answer:

$5

Step-by-step explanation:

About $5 because there is 12 in a dozen, and since your selling three muffins for $1.25, you multiple 1.25 x 4. Then you get $5 as your answer.

Answer:

75%

Step-by-step explanation:

The percent would be the total cm of water, then minus the left over water divided by the original amount of water, and finally multiplying one hundred.

(8-2)/8*100=75%

Answer: :P

Step-by-step explanation:

Answer: 3.14159

Step-by-step explanation:

something

Answer:

16.5, 19, 21.5, 24, 26.5, 29, 31.5, 34,

Step-by-step explanation:

each hour it increases by 2.5 inches and this is how much in each hour

Answer:

h1= 16.5

h2= 19

h3= 21.5

h4= 24

h5= 26.5

h6=29

h7=31.5

h8= 34

Step-by-step explanation:

start by making an equation to model the scenario then solve for each hour

f(h)=2.5h+14

Answer:

I will answer in a general way because the options are not given.

We know that the area of model A is smaller than the area of model B.

For model A, we have 72 shaded sections, out of 100.

Then the quotient of model A is:

72/100 = 0.72

For model B we have 10 sections, and x shaded ones.

Because model B is greater than model A, we know that:

x/10 should be larger than 72/100

then we have the inequality:

x/10 > 0.72

x > 0.72*10

x > 7.2

And we can not have more than 10 shaded sections (because there is a total of 10 sections) then:

10 ≥ x > 7.2

Then x can be any whole number in that interval.

the possible values of x are:

x = 8

x = 9

x = 10

Answer:

The second one

Step-by-step explanation:

If you divided all the dimensions by 2 they will al, simplify to the second image

The quadrilateral LMNO is similar to the quadrilateral SRQP because the corresponding sides are in the same proportions option (B) is correct.

It is defined as the law to prove that the two figures have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

It is given that:

The quadrilateral LMNO is shown in the picture

As we know from the similarity law, the ratio of the corresponding sides is in the same proportions.

Applying the similarity law in the quadrilateral LMNO and quadrilateral SRQP:

LM/PQ = MN/RQ = NO/RS = LO/SP

3/1.5 = 4/2 = 2/1 = 5/2.5 = 2

Thus, the quadrilateral LMNO is similar to the quadrilateral SRQP because the corresponding sides are in the same proportions option (B) is correct.

Learn more about the similarity here:

brainly.com/question/8045819

#SPJ5

[tex]hypotensuse \: = \sqrt{ {6}^{2} + {9}^{2} } = \sqrt{36 +81 } = \sqrt{117} = 10.82[/tex]

Answer:

£2.38

Step-by-step explanation:

£1.40 divided by 2.5kg = 0.56

0.56 x 4.25kg = £2.38

Answer:

[tex]y - 2 = -\frac{1}{3}(x + 3)[/tex]

Step-by-step explanation:

The equation of a line, in slope-intercept is given by:

[tex]y - y_0 = m(x - x_0)[/tex]

In which [tex](x_0,y_0)[/tex] is a point in the line and m is the slope.

We have these following points:

(-3,2), (0,1)

I am going to use [tex](x_0,y_0) = (-3,2)[/tex]

So

[tex]y - 2 = m(x - (-3))[/tex]

[tex]y - 2 = m(x + 3)[/tex]

Finding the slope

The slope, given two points, is given by the change in y divided by the change in x. In this question:

Points (-3,2) and (0,1).

Change in y: 1 - 2 = -1

Change in x: 0 - (-3) = 0 + 3 = 3

So

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

So the equation of the line is:

[tex]y - 2 = -\frac{1}{3}(x + 3)[/tex]

Answer:

[tex]CSA = 660cm^2[/tex] --- Curved Surface Area

[tex]TSA = 968cm^2[/tex]  --- Total Surface Area

Step-by-step explanation:

Given

Shape: Cylinder

[tex]h = 15[/tex] -- height

[tex]r = 7[/tex] --- radius

Solving (a): The curved surface area (CSA)

This is calculated as:

[tex]CSA = 2\pi rh[/tex]

This gives:

[tex]CSA = 2 * \frac{22}{7} * 7 * 15[/tex]

[tex]CSA = 2 * 22* 15[/tex]

[tex]CSA = 660cm^2[/tex]

Solving (b): The total surface area (TSA)

This is calculated as:

[tex]TSA = 2\pi r(h + r)[/tex]

This gives:

[tex]TSA = 2 * \frac{22}{7} * 7 * (15 + 7)[/tex]

[tex]TSA = 2 * 22 * (15 + 7)[/tex]

[tex]TSA = 2 * 22 * 22[/tex]

[tex]TSA = 968cm^2[/tex]

Answer:

Step-by-step explanation:

B

Step-by-step explanation:

the oak tree is 17 years old

Answer:

75%

Step-by-step explanation:

Answer:

The principal required to  accumulate interest of $ 1,008.00  on a rate of 4.5% per year for 7 years is $ 3200.

Step-by-step explanation:

Given:

Interest I = $ 1008

Time period t = 7 years

Rate of Interest per year r = 4.5% = 4.5/100 = 0.045

To determine:

Initial deposit P = ?

Using the simple interest formula

I = Prt

P = I / rt

P = 1008 / ( 0.045 × 7 )

P = $ 3200

Therefore, the principal required to  accumulate interest of $ 1,008.00  on a rate of 4.5% per year for 7 years is $ 3200.

Answer:

I would ask for being rich with my first wish and then ask to stop discrimination in the world and for number 3 i would ask being famous

Step-by-step explanation:

Answer:

She can get 33 guests to her party

Step-by-step explanation:

just do 46-13 and bing bang boom you have the answer

Answer:

26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

If an egg is randomly chosen from each duck, what is the probability that Duck #2’s egg weighs more than Duck #1’s egg?

Duck #2 egg will weigh more if the subtraction of duck's 2 egg by duck's 1 egg is larger than 0.

When we subtract normal distributions, the mean is the subtraction of the means. So

[tex]\mu = 65 - 70 = -5[/tex]

The standard deviation is the square root of the sum of the variances. So

[tex]\sigma = \sqrt{6^2+5^2} = \sqrt{61} = 7.81[/tex]

Now, we have to find 1 subtracted by the pvalue of Z when X = 0. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0 - (-5)}{7.81}[/tex]

[tex]Z = 0.64[/tex]

[tex]Z = 0.64[/tex] has a pvalue of 0.7389

1 - 0.7389 = 0.2611

26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg