WXYZ is a parallelogram, find the following values.

Given:

15 is decreased by three times a number, the result is 21.

To find:

The equation for the given statement and solve it.

Solution:

Let n be the unknown number. Then,

Three times of a number = [tex]3n[/tex]

15 is decreased by three times a number = [tex]15-3n[/tex]

It is given given that the result after subtraction is 21. So,

[tex]15-3n=21[/tex]

[tex]-3n=21-15[/tex]

[tex]-3n=6[/tex]

Divide both sides by -3.

[tex]n=\dfrac{6}{-3}[/tex]

[tex]n=-2[/tex]

Therefore, the required equation is [tex]15-3n=21[/tex] and its solution is [tex]n=-2[/tex]. Hence, the correct option is (a).

Answer:

a

Step-by-step explanation:

Given:

Three integers, a, b, and c, where c is a positive integer.

The product of a and b is 6.

The product of a and c is -4.

The product of b and c is -6.

To find:

The values of a,b and c.

Solution:

According to the given information:

[tex]ab=6[/tex]        ...(i)

[tex]ac=-4[/tex]       ...(ii)

[tex]bc=-6[/tex]      ...(iii)

From (ii), we get

[tex]a=-\dfrsc{4}{c}[/tex]          ...(iv)

From (iii), we get

[tex]b=-\dfrsc{6}{c}[/tex]         ...(v)

Putting [tex]a=-\dfrsc{4}{c}[/tex]  and [tex]b=-\dfrsc{6}{c}[/tex] in (i), we get

[tex]\dfrac{-4}{c}\times \dfrac{-6}{c}=6[/tex]

[tex]\dfrac{24}{c^2}=6[/tex]

[tex]\dfrac{24}{6}=c^2[/tex]

[tex]4=c^2[/tex]

Taking square root on both sides, we get

[tex]\pm \sqrt{4}=c[/tex]

[tex]\pm 2=c[/tex]

It is given that c is a positive integer. So, it cannot be negative and the only value of c is [tex]c=2[/tex].

Putting [tex]c=2[/tex] in (iv), we get

[tex]a=-\dfrsc{4}{2}[/tex]

[tex]a=-2[/tex]

Putting [tex]c=2[/tex] in (v), we get

[tex]b=-\dfrsc{6}{2}[/tex]

[tex]b=-3[/tex]

Therefore, the values of a,b,c are [tex]a=-2,b=-3,c=2[/tex].

Answer:

v fggfbfgbfgbgbfgb

Step-by-step explanation:fgfgbgfbfg

Answer: first would be 6 the next would be 12 then the next would be 18 and so on just add 6 for each one and for ten pizzas it would be 6*10 and that equals 60 im sure you get it

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

6×3−3

Multiply 6 and 3 to get 18.

18−3

Subtract 3 from 18 to get 15.

15

There are 42 teachers 30 male 12 female. 30:12.  male teachers to the total number of teachers 42:30. total of teachers to the female teachers 42:12

Answer:

B and C

Step-by-step explanation:

Sin 45 or Cosine 45.

The trigonometric ratios that Garret could use to describe the relationship between these two sides are sin 30°and  cos 60°.

Trigonometric ratios are the ratios which is described for two sides of a right angled triangle.

The main three trigonometric ratios are sine, cosine and tangent functions.

here, we have,

Given that,

Garret makes a ramp for his skateboard in the shape of a right triangle.

Also given that,

length of the hypotenuse = 2 feet

Length of a leg = 1 feet

Using Pythagoras theorem,

Length of other leg = √(2² - 1²) = √3

45°-45°-90° triangle ratio is 1 : 1 : √2.

30°-60°-90° triangle ratio is 1 : √3 : 2.

Given triangle has the side ratio 1 : √3 : 2. So this is a 30°-60°-90° triangle.

The trigonometric ratio used must include the hypotenuse.

So sin and cos can only be used.

Hence the trigonometric ratios used are sin 30°and  cos 60°.

Learn more about Trigonometric Ratios here :

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Complete question:

Garret makes a ramp for his skateboard in the shape of a right triangle with a hypotenuse of 2 ft, and a leg of 1 ft. He wants to use a trigonometric ratio to describe the relationship between these two sides. Select all of the expressions that he could use.

A. sin 30°

B. cos 45°

C. tan 30°

D. sin 45°

E. cos 60°

F. tan 45°

Answer:

x = 6

Step-by-step explanation:

5x - 7 and 23 are vertical angles and are congruent , then

5x - 7 = 23 ( add 7 to both sides )

5x = 30 ( divide both sides by 5 )

x = 6

Answer:

c

Step-by-step explanation:

Answer:

i honestly dont know

Step-by-step explanation:

Answer:

he saves 3 dollars. its not worth it.

Step-by-step explanation:

you divide 12 by ten getting you 1.2 which you subtract from 1.50 that then multiply that by 10

Answer:

Radius of P = 5 cm

Step-by-step explanation:

Radius (r) of Q = 20 cm

Area of Q = 4 × Area of P

This means that:

Area of the quarter circle (Q) = 4 × Area of the circle (P)

Thus:

¼(πr²) = 4 × πr²

Plug in the values into the equation

¼(π*20²) = 4 × πr²

Find the value of r, which is the radius of P

¼(400π) = 4πr²

Multiply both sides by 4

400π = 4πr²*4

400π = 16πr²

Divide both sides by 16π

400π/16π = r²

25 = r²

Take the square root of both sides

√25 = √r²

5 = r

r = 5

Therefore, the radius of P = 5 cm

Answer:

Step-by-step explanation:

Slope:

[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

y2=3

y1=8

x2=5

x1=(-1)

3-8/5-(-1)

3-8=(-5)

5-(-1)=5+1=6

M=-5/6

The slope is m=-5/6.

Answer:

Answer: 10240

Step-by-step explanation:

640 x 16 = 10240

1 Pound = 16 Ounces

Answer:

on the second line below zero

Step-by-step explanation:

It’s a negative 0.6 right?

Answer:

-0.6 would be the third line down

Step-by-step explanation:

If you're counting down from 0 go by -0.2

-0.2

-0.4

-0.6

Answer:

x = 17.1°

Step-by-step explanation:

tan x = 4/13 = 0.3077

x = 17.1°

The measure of the angle θ from the given triangle is 17.9°.

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

From the given triangle, AC=13 and BC=4 units.

We know that, sinθ=Opposite/Hypotenuse

sinθ= 4/13

sinθ= 0.3076

θ=17.9°

Therefore, the measure of the angle θ from the given triangle is 17.9°.

Learn more about the trigonometric ratios here:

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Answer:

81.25%

Step-by-step explanation:

58-32=26

26/32=0.8125

0.8125x100=81.25

Sorry I'm not that good at explaining but here is something that helped me.

Answer:

the top answer or A. if it was labeled

Step-by-step explanation:

because my guy it is simple math

Answer:

D: distance around the edge of the swimming pool

Step-by-step explanation:

perimeter is the distance around something.

Step-by-step explanation:

Perimeter is used to find out the boundary of any thing or figure...So,

Option D Distance around the edge of a swimming pool. is correct answer.

Answer:

The inequality represents the maximum amount of t-shirts she could buy is:

30x+9y≤75

Step-by-step explanation:

With the information provided, you can say that the result of adding up the price per jean for the number of jeans plus the price per shirt for the number of shirts has to be less than or equal to 75, which can be represented as:

30x+9y≤75, where

x is he number of jeans purchased

y is he number of shirts purchased

Answer:

4 quarts = 1 gallon

Step-by-step explanation:

Hope that hleps

1 quart = 1/4 gallon

Multiply the number of quarts by 4 to find the number of gallons.

Division is one of the four fundamental arithmetic operations. The number of machines that will be needed to produce 1,984 printers in a day is 32 machines.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that 20 machines produce 1,240 printers in a day. Therefore, the rate of production for a single machine can be written as,

Rate of production for a day = 1240/20 = 62 printer per machine

Now, the number of machines that will be needed to produce 1,984 printers in a day is,

Rate of production for a day = 1,984 / Number of machine

62 = 1984 / Number of machine

Number of machines = 32 machines

Hence, the number of machines that will be needed to produce 1,984 printers in a day is 32 machines.

Learn more about Division:

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Answer:

Independent events i believe

Step-by-step explanation:

Answer:

b=312

g=396

you can use substitution or elimination

Step-by-step explanation:

(b+g=708)10

(15b+10g=8640)1

(10b+10g=7080)-

(15b+10g=8640)

10b-15b=-1560

-5b=-1560

divide both sides by -5

b=312

then substitute

b+g=708

312+g=708

g=708-312

g=396

so b=312

g=396

Answer:

x = 16

Step-by-step explanation:

please mark this answer as brainlest

Answer:

42-x=58

-x=58-42

x=-58+42

x=-16