Round 7874 to the nearest 100

Answer:

x=10, y=25

Step-by-step explanation:

First, in a trapezoid, the two angles on the same leg (the legs are the opposite sides that are not parallel) add up to 180 degrees. Therefore, 4y as well as (2y+3x) are supplementary. We can write this out as

4y + (2y+3x) = 180

6y+3x = 180

Next, the angles of a triangle add up to 180 degrees. Therefore, as the angles 2y, 4y, and (5x-20) make up a triangle, they add up to 180 degrees. We can write this as

4y + 2y + (5x-20) = 180

6y + 5x -20  =180

Our two equations are thus

6y + 5x - 20 = 180

6y + 3x = 180

If we subtract 6y from both sides in each equation, we can say

5x - 20 = 180-6y

3x = 180-6y

Therefore, we can write

5x-20 = 180-5y = 3x

5x-20=3x

subtract 3x from both sides to make all x variables on the same side

2x-20 = 0

add 20 to both sides to isolate the x and its coefficient

2x = 20

divide both sides by 2 to isolate x

x = 10

Therefore,

x = 10

6y + 3x = 180

6y + 30 = 180

subtract 30 from both sides to isolate the y and its coefficient

6y = 150

y = 25

Answer: 20 times 2 equal 40/ 40 divided by 2 is 20

Step-by-step explanation: Both of them should help you find the answer

Answer:

option 3

Step-by-step explanation:

Given

3x + 5 + 7x + 2 ← collect like terms

= (3x + 7x) + (5 + 2)

= 10x + 7 → option 3

According to the question

=3x + 5+7x + 2

Combining Like terms

= (3x + 7x) +(5+2)

= 12x + 7

Therefore the correct option is third

10x + 7

Answered by Gauthmath must click thanks and mark brainliest

Answer:

please translate to English for fast response

Answer:

∡AEF=45°

Step-by-step explanation:

AB=CD ⇒

arcele AB=AC (la coarde egale corespund arce egale)⇒

arc(AB)+arc(BC) = arc(BC)+arc(BD)  (descompunerea arcelor AB si AC)⇒

arc(AC)=arc(BD) ⇒

∡BAD≡∡CDA (la arce egale avem unghiuri cu varful pe cerc egale) ⇒

ΔEAD e isoscel (unghiurile de la baza AD sunt congruente) ⇒

[EA]≡[ED], dar si [OA]≡[OD]   (OA si OD raze ale cercului)⇒

EO e mediatoarea  [AD] (E si O formeaza dreapta EO), dar ΔEAD e isoscel⇒

[EO este si bisectoarea ∡AED (intr-un triunghi isoscel mediatoarea bazei se suprapune cu bisectoarea unghiului opus bazei), dar ∡AED=90° ⇒

∡AEF=45°

Answer:

purchased it for 1600

Step-by-step explanation:

[tex].88x-y\:=\:-16\:\\\:.9x-y\:=\:20[/tex]

Answer:

b = 19.6

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

20^2+ b^2 = 28^2  

400 + b^2 = 784

b^2 = 784-400

b^2 =384

Taking the square root of each side

sqrt( b^2) = sqrt(384)

b =19.59591794

To the nearest tenth

b = 19.6

Answer:

19.6

Step-by-step explanation:

It is a right triangle so use the pythagorean theorem; a^2 + b^2 = c^2

a=20

b=?

c=28 - c is the hypotenuse because it is across from the right angle

20^2 + b^2 = 28^2

400+ b^2 =784

b^2=384

b= 19.595917... or 19.6 (rounded to nearest tenth)

Answer:10/5

Step-by-step explanation:

It would have to be 85

Answer:

85

Step-by-step explanation:

(89+92+94+ x)/4>90

(275+x)/4>90

275+x>90

x> 85

Answer:

x=3

Step-by-step explanation:

I suggest getting this app called photo math, it will help you soo much.

Answer:

x = 3

Step-by-step explanation:

4 (x - 1 ) + 4x -1 = 19

solve the brackets first

4x - 4 + 4x -1 = 19

4x + 4x -4 -1 = 19

8x -5 = 19

8x = 19+5

8x = 24

x = 24/8

x = 3

Answer:

Solution given:

16+28=44

(4+7)=11

Answer:

The solution is 4

Step-by-step explanation:

Step 1:  Find the correct answer

I'm not really sure what you are asking but I will give it a shot.

16 + 28 = ___ (4 + 7)

44 = ___ (11)

44 / 11 = ___ (11) / 11

4 = ___

Answer:  The solution is 4

Answer:

3.9

Step-by-step explanation:

We can use the Pythagorean theorem

a^2 +b^2 =c^2 where a and b are the legs and c is the hypotenuse

7^2 + h^2 = 8^2

49 + h^2 = 64

h^2 = 64-49

h^2 = 15

Taking the square root of each side

sqrt(h^2) = sqrt(15)

h = 3.87298

To the nearest tenth

h = 3.9

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{x + x(x + y) + y}[/tex]

[tex]\huge\text{= 4 + 4(4 + 1) + 1}[/tex]

[tex]\huge\text{= 4 + 4(5) + 1}[/tex]

[tex]\huge\text{= 4 + 20 + 1}[/tex]

[tex]\huge\text{= 24 + 1}[/tex]

[tex]\huge\text{= 25}[/tex]

[tex]\huge\boxed{\textsf{Therefore, your answer is: 25}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Hi,

we need to substitute 4 and 1 in the equation, so for every y, we replace it with a 1 and every X with 4 as X= 4, Y = 1

equation: X + X (X + Y) + Y

equation after substituting the numbers: 1 + 1 (1 + 4) + 1

Bidmas rules apply.

expand the bracket first. 1 (1 + 4)=

1 X 1= 1

1 X 4= 4

1 + 4 = 5

then the equation becomes: 1 + 5 + 1= 7

your answer is 7 if you want to evaluate it.

your answer is 1 + 1 (1 + 4) + 1 if you need the equation.

, hope that helps :)

Answer:

x=-7/2, x=4/3

Step-by-step explanation:

[tex]6x^2+13x-28=0[/tex]

Multiply 6 and -28 to get -168

Find 2 numbers that multiply to 168 but add to 13

They are 21 & -8

Rewrite the equation into:

[tex]6x^2+21x-8x-28=0[/tex]

Factor

[tex]3x(2x+7)-4(2x+7)=0[/tex]

(3x-4)(2x+7)=0

3x=4

x=4/3

2x=-7

x=-7/2

Answer:

67.5

Step-by-step explanation:

Answer:

the hour hand and minute hand on a 12-hour clock at 5:15. Again, the two angles created by the hour hand and minute hand at five-fifteen are 292.5 degrees and 67.5 degrees.

Step-by-step explanation:

(15×4)6÷6[{32÷4(7x2-15+5)}+3]

= -2

[ use BODMAS rule]

Answer:

D: k*x=y

Step-by-step explanation:

a proportional relationship is basically a linear equation (y=mx+b)

Answer:

0.23

Step-by-step explanation:

If the probability of passing the examination is 0.77

Then the probability of failing the examination is 1 - 0.77 = 0.23

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

Work Shown:

Plug in x = 0

[tex]f(x) = \frac{2x-1}{3x+5}\\\\f(0) = \frac{2*0-1}{3*0+5}\\\\f(0) = \frac{0-1}{0+5}\\\\f(0) = -\frac{1}{5}\\\\[/tex]

Repeat for x = 8

[tex]f(x) = \frac{2x-1}{3x+5}\\\\f(8) = \frac{2*8-1}{3*8+5}\\\\f(8) = \frac{16-1}{24+5}\\\\f(8) = \frac{15}{29}\\\\[/tex]

Now use the average rate of change formula

[tex]m = \frac{f(b)-f(a)}{b-a}\\\\m = \frac{f(8)-f(0)}{8-0}\\\\m = \frac{15/29 - (-1/5)}{8}\\\\m = \frac{15/29 + 1/5}{8}\\\\m = \frac{(15/29)*(5/5) + (1/5)*(29/29)}{8}\\\\m = \frac{75/145 + 29/145}{8}\\\\[/tex]

[tex]m=\frac{104/145}{8}\\\\m = \frac{104}{145} \div \frac{8}{1}\\\\m = \frac{104}{145} \times \frac{1}{8}\\\\m = \frac{104*1}{145*8}\\\\m = \frac{104}{1160}\\\\m = \frac{13}{145}\\\\[/tex]

Answer:

200

hope it help

Answer:

160

Step-by-step explanation:

got it right

Answer:

[tex]72in \: grades = > 1degree = \frac{10}{9} \times 72 \\ 72degree = \frac{10}{9} \times 72grades \\ 7degre = 80grades \\ thank \: you[/tex]

Answer:

16 ft

Step-by-step explanation:

Slant Height=sqrt(Radius^2+Height^2)

Height=sqrt(20^2-12^2)=sqrt(256)=16 ft

Answers:

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

Explanation:

1/6 of the total number of cartons are small. We have 264 total cartons, so,

1/6 of 264 = (1/6)*264 = 44

We need 44 small cartons.

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

2/3 of the total cartons are medium, so,

2/3 of 264 = (2/3)*264 = 176

There are 176 medium cartons.

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

So far we calculated there are 44+176 = 220 cartons from the small and medium sizes.

This must mean there are 264 - 220 = 44 large cartons

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

Now because:

and

This means we have

Ultimately, we have 352+2112+792 = 3256 eggs in total.

Answer:

31.25

Step-by-step explanation:

125/4

= 31.25

Answer:

10

Step-by-step explanation:

If you multiply 10% of 34,950,101 by 10, you will get the value of 34,950,101.

Answer:

1) slope intercept y= (-7/4)*x-19/2 2) point slope y-1= -7/4*(x+6)

Step-by-step explanation:

4x-7y=2

7y= 4x-2

y=(4/7)*x-2/7

To find the m2 (the number near x, it is called slope) for searched the slope intercept

use the formula for perpendicular lines

m1*m2=-1

m1= 4/7

m2= -1/ (4/7)= -7/4.

The slope intercept must look like y=m2*x+b

Use the coordinates of given point of the searched line (-6,1)  and m2= -7/4.

1= (-7/4) *(-6) +b

b= -19/2

So slope intercept is y= (-7/4)*x-19/2

Point slope formula is y-y1= m2(x-x1)  m2=-7/4. x1=-6 y1=1

y-1= -7/4(x+6)

Answer:

C

Step-by-step explanation:

(4/6) : (1/3), multiply by 3 both sides

(4/2) : 1 = 2:1

Answer:

A. 12:6

Step-by-step explA. 2

SE MULTIPLICA 4X3 Y 6X1

Answer:

The answer that I got is C I hope I'm right

Answer:

OAmalOHopeO

Answer:

The function is a growth function so I guess A, B and D

suggest a growth curve

Step-by-step explanation: