Find x so that GJ is parallel to FK if GF=12, HG=6, HJ=8, and JK=x-4.

Answer:

x = 90

y = 60

Step-by-step explanation:

Let x = student

Let y = non-student

x + y = 150

4x + 8y = 840 <—— Use elimination/addition ethos for both equations

8 (x + y = 150)

-1 (4x + 8y = 840) <—— Let’s eliminate y

8x + 8y = 1200

+ -4x - 8y = -840

—————————————

4x = 360

x = 90

x + y = 150 <— substitute for x from above

90 + y = 150

- 90 = - 90 <— subtract from both sides

y = 60

Answer:

5a - 30

Step-by-step explanation:

Answer:

5a - 30

Step-by-step explanation:

Distributive property: a(b + c) = a*b + a*c

5(a - 6)= a * 5 - 6*5

          = 5a - 30

Answer:

no

Step-by-step explanation:

Answer:

i think its 360.......

Step-by-step explanation:

i hope it helps

Answer:

1.)B 2.)C 3.)D

Step-by-step explanation:

sanaakantulong please give me brainlist

Answer:

The first distance is b. The second distance is c. And the last distance is d.

Step-by-step explanation:

For the first one it is b because she does not stop walking from one place to the other and same with d. But c is different because she did not get to her destination and ran back home so she did not complete the trip.

Answer:

m= -5/2

Step-by-step explanation:

formula for slope(m) : ΔY/ΔX (change in y coordinates - change in x coordinates)

change in y coordinates: 5-(-5) = 10

change in x coordinates: -4-(0) = -4

10/-4 = -5/2= -2.5

Answer:

2) (see image below)

3) x = 8  

   side(s) = 74

4) x = 10

   EF = DE = 67

   base = 31

Step-by-step explanation:

For No. 2, if you draw out two triangles with the corresponding angles, you can make it a lot easier. See the image below:

For No. 3, it is given that it's an equilateral triangle, meaning all sides and angles are congruent. So:

12x – 22 = 10x – 6 = 7x + 18

Instead of using all three at once, you can use any two. I'll be using:

12x – 22 = 10x – 6

2x = 16

x = 8

Plugging x in, we can get all the sides, because this is an equilateral triangle:

12x – 22

12(8) – 22

96 – 22

74

For No. 4, it is given that the triangle is an isosceles triangle where DE ≅ EF, so:

8x – 13 = 5x + 17

3x = 30

x = 10

Plugging in x for one of the congruent sides and the base, you can get your needed side length values:

8x – 13

8(10) – 13

80 – 13

67

x + 21

10 + 21

31

Answer:

$7.50

Step-by-step explanation:

formula for simple interest:

I = prt

I = ($125)(0.03)(2)

I = $7.50

Answer:

You time 125 by 1.03 twice subtract 125 from that awnser to get the amount of money from interest 7.6125 is the awnser

Step-by-step explanation:

Answer:

Step-by-step explanation:

Amount paid for first 100 watches = (65% of 80) *100

                                                        [tex]=\frac{65}{100}*80*100\\\\= 65*80\\= 5200[/tex]

Amount paid for next 50 watches = (55% of 80) * 50

                                                        [tex]= \frac{55}{100}*80*50\\\\= 55 * 8 * 5\\\\= 2200[/tex]

Remaining watches = 280 -(100+ 55)

                                 = 280 - 155 = 125

Amount paid for 125 watches = (45% of 80) *125

                                                  [tex]= \frac{45}{100}*80*125\\\\= 45 * 20 * 5\\\\= 4500[/tex]

Amount received by the watch maker = 5200 + 2200 + 4500

                                                               = £ 11900

Step-by-step explanation:

Since angle 1 is on a straight line and we know that angle 4 is 160, and a straight line has a sum of 180 degrees, simply subtract 160 from 180 to get angle 1.

Angle one would be 180-160 = 20

Since the sum of angles in a triangle is 180 and we already know 2 of them, angle 1 is 20 and angle 3 is 30, just add them together and then subtract that from 180. 20 + 30 = 50, and 180 - 50 = 130.

So in conclusion:

Angle 1 is: 20

Angle 2 is: 130

Answer:

Step-by-step explanation:

The graph shows that as more time passes, more boxes are being manufactured. Therefore, the number of boxes relies on the number of hours.

Hope this helps :)

Answer:

10

Step-by-step explanation:

Answer:

Your prediction would be eight 4's

Step-by-step explanation: I just solved it!

Answer:

36.5      i believe.

Step-by-step explanation:

you divide 986 by 27 and it equals 36.5.

hope you get it right!

if this is wrong then you can report me i guess. ='(

The first number will be [tex]\frac{11}{2}[/tex] and the second number will be [tex]-\frac{5}{4}[/tex].

Let the first number be x and the second number be y.

According to the question,

Since seven times the first number plus six times the second number equals 31. So,

[tex]7x+6y=31.......(1)[/tex]

Similarly,Three times the first number minus ten times the second number is 29.So,

[tex]3x-10y=29.......(2)[/tex]

Multiplying equation (1) by 3 and equation (2) by 7, we get

[tex]21x+18y=93[/tex]

[tex]21x-70y=203[/tex]

Now subtracting both the equations we get,

[tex]88y=-110[/tex]

[tex]y=-\dfrac{110}{88}[/tex]

[tex]y=-\dfrac{5}{4}[/tex]

putting the value of x in equation (1) we get,

[tex]7x+6\times-\dfrac{5}{4} =31[/tex]

[tex]7x-\dfrac{15}{2}=31\\[/tex]

[tex]7x=31+\dfrac{15}{2}[/tex]

[tex]7x=\dfrac{77}{2}[/tex]

[tex]x=\dfrac{11}{2}[/tex]

Hence the first number is [tex]\frac{11}{2}[/tex] and the second number is [tex]-\frac{5}{4}[/tex].

For more details on solving linear equation in two variables follow the link:

https://brainly.com/question/10270150

Answer:

0.6 inch

Step-by-step explanation:

The volume of a sphere is calculated through the equation,

                           V = 4πr³/3

Which means that the radius is calculated by the equation,

                                (3V/4π)^(1/3) = r

Substituting,

           Sphere A,       (3x30/4π)^(1/3) = r = 1.927 in

           Sphere B,        (3x10/4π)^(1/3) = r = 1.336 in

When we subtract the radius, we get an answer of 0.59 inch. Therefore, the answer to this item is approximately 0.6 inch.

Answer:

T= 6

Step-by-step explanation:

T-5=1

find T

+5 to both sides

T= 6

Answer:

2089

Step-by-step explanation:

Answer:

4/1

Step-by-step explanation:

The slope of the line is y/x or rise/run. The line increases in height (y) by 4, while it only travels (x) 1. The line travels 4y in the time it takes to travel 1x. 4/1 (or just 4)

Answer:

LG=LE=LF since it is the centroid. So I think it would also be 9.

Answer:

bc= 6

Step-by-step explanation:

since the triangles are similar, the sides are in a ratio

xz/ac = 20/4 (5:1)

yx/ba = 15/3 (5:1)

yz/bc = 5:1 = 30/6

Answer:

4 square root 5 is the answer

root(20*4)

2 × root(5×4)

4×root(5)

Answer:

1)16(x+y) is not equal to 4x+12y, it is equal to 16x+16y

2)2x^2-y+5+3 is not equal

3)3x & 3y

4)15x+15

5)commutative

Answer: z 1/2

Step-by-step

:) 100%

Answer:

A

Step-by-step explanation:

two real solutions! hope this helped!!

Answer:

3

Step-by-step explanation:

Answer:

Find each measure.

1. 

SOLUTION:  

The trapezoid ABCD is an isosceles trapezoid. So,

each pair of base angles is congruent. Therefore,

ANSWER:  

101

2. WT, if ZX = 20 and TY = 15

SOLUTION:  

The trapezoid WXYZ is an isosceles trapezoid. So, the

diagonals are congruent. Therefore, WY = ZX.

WT + TY = ZX

WT + 15 = 20

WT = 5

ANSWER:  

5

COORDINATE GEOMETRY Quadrilateral

ABCD has vertices A(–4, –1), B(–2, 3), C(3, 3),

and D(5, –1).

3. Verify that ABCD is a trapezoid.

SOLUTION:  

First graph the points on a coordinate grid and draw

the trapezoid.

Use the slope formula to find the slope of the sides of

the trapezoid.

The slopes of exactly one pair of opposite sides are

equal. So, they are parallel. Therefore, the

quadrilateral ABCD is a trapezoid.

ANSWER:  

ABCD is a trapezoid.

4. Determine whether ABCD is an isosceles trapezoid.

Explain.

SOLUTION:  

Refer to the graph of the trapezoid.

Use the slope formula to find the slope of the sides of

the quadrilateral.

The slopes of exactly one pair of opposite sides are

equal. So, they are parallel. Therefore, the

quadrilateral ABCD is a trapezoid.

Use the Distance Formula to find the lengths of the

legs of the trapezoid.

The lengths of the legs are equal. Therefore, ABCD

is an isosceles trapezoid.

ANSWER:  

isosceles;

5. GRIDDED REPSONSE In the figure, is the

midsegment of trapezoid TWRV. Determine the value

of x.

SOLUTION:  

By the Trapezoid Midsegment Theorem, the

midsegment of a trapezoid is parallel to each base

and its measure is one half the sum of the lengths of

the bases.

 are the bases and   is the 

midsegment. So,

Solve for x.

16 = 14.8 + x

1.2 = x

ANSWER:  

1.2

CCSS SENSE-MAKING  If ABCD is a kite, find

each measure.

6. AB

SOLUTION

Answer:

no its x = - 4

Step-by-step explanation:

Answer:

54wy35syrdhtrd

Step-by-step explanation:

oy86t4s2r4ssuc78t87y8ma769798bowss668768

Answer:

1. "5 times as" means multiply by 5.

Jenny = x * 5

2. "10 dollars more" means add 10

Brandon = x + 10