Parallelogram ABCD is adjacent to rhombus DEFG, as shown below, and FC intersects AD at H.
B
D
H
E
If m Z B=118 and m2 AHC=138, determine and state m GFH.

Answer:

4628

I hope it will help you all

Answer:

x = number of quarters = 25

y = number of dimes = 15

Step-by-step explanation:

Let

x = number of quarters

y = number of dimes

1 dime = $0.10

1 quarter = $0.25

x + y = 40 (1)

0.25x + 0.10y = 7.75 (2)

From (1)

x = 40 - y

Substitute x = 40 - y into (2)

0.25x + 0.10y = 7.75 (2)

0.25(40 - y) + 0.10y = 7.75

10 - 0.25y + 0.10y = 7.75

- 0.25y + 0.10y = 7.75 - 10

-0.15y = -2.25

y = -2.25/-0.15

y = 15

Substitute y = 15 into (1)

x + y = 40 (1)

x + 15 = 40

x = 40 - 15

x = 25

x = number of quarters = 25

y = number of dimes = 15

Total quarters = 25 × $0.25

= $6.25

Total dimes = 15 × $0.10

= $1.5

Step-by-step explanation:

perimeter = 2(lenth + base)

perimeter-2b = 2(length)

Area=length×breadth

Answer:

x > 12

Step-by-step explanation:

[tex]x+6->18-6\\=>x>12[/tex]

That's it for the workout. Hope it helps.

Answer:

No Solution

Step-by-step explanation:

because both of them have same gradient or slope.

we can say that those linear equations are parallel

Answer:

a=[tex]\frac{c-by}{x}[/tex]

Step-by-step explanation:

To find a, we need to change the equation so a is the variable that is left by itself. So...

ax+by=c   Get rid of anything else besides the x and its coefficient.

   -by -by

ax=c-by    Because a has to be completely isolated, get rid of its coefficient.

/x   /x

a=[tex]\frac{c-by}{x}[/tex]

Hope this helps and have a great day :D

Answer:

[tex]a x + by = c \\ ax = c - by \\ \frac{ax}{x} = \frac{c - by}{x} \\ a = \frac{c - by}{x}[/tex]

Step-by-step explanation:

The given equations are :

-x+6y = 16 ...(1)

8x-6y = -2 ...(2)

The y-variable will be eliminated when adding the system of  equations.

Adding equations (1) and (2).

-x+6y+8x-6y = 16+(-2)

7x = 14

x = 2

Put the value of x in equation (1).

-2+6y = 16

6y = 16+2

y = 3

There is only one solution to the system of equations i.e. (2,3).

Answer:

[tex]a^2 - ( b- c)^2 = a^ 2- b^2 - c^2 +2 bc[/tex]

Step-by-step explanation:

[tex]Using \ (x - y)^2 = x^2 - 2xy + y^2[/tex]

[tex]a^2 - (b - c)^2 = a^2 - ( b^2 - 2bc + c^2 ) = a^2 - b^2 + 2bc - c^2 = a^2 - b^2 - c^2 + 2bc[/tex]

Answer:

That would be 14 miles ÷ 6 hours which would be 2.3333 or 2 and 1/3

Answer:

wwiwjwjwjwnwnsnsnssnnssnnssnsnsnsnsnwnwn to

Answer:

The point can either lie on the second quadrant or the third quadrant

Step-by-step explanation:

Mathematically, we have the ordinate and the abscissa

The ordinate represents the y axis while the abscissa represents the x axis value

For the abscissa to be negative, it means we are talking about the negative x axis

Now, the y axis can either be positive or negative too

When it is positive , we are referring to the point lying on the second quadrant

when it is negative, we are referring to the point lying on the third quadrant

Answer:

N=15

Step-by-step explanation:

N=numerator

D=denominator

(1+N)/(1+D)=4

(N-1)/(D-1)=7

(1+N)=4(1+D)

N=4D+3

(4D+3-1)/(D-1)=7

4D+2=7(D-1)

4D-7D=-2-7

D=-9/-3=3

N=4D+3=15

Answer:

4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

2x - y = 11

x + 3y = -5

Step 2: Rewrite Systems

2x - y = 11

Step 3: Redefine Systems

y = 2x - 11

x + 3y = -5

Step 2: Solve for x

Substitution

Answer:

x = 4

Step-by-step explanation:

2x - y = 11

x + 3y = -5

To calculate the value of x , firstly we need to find value of y.

solve for y

subtract 2x from both side

change the sign of both side of equation

rewrite

Solve for x

substitute the value of y in the equation

distribute 3

combine like terms

Add 33 on both side

divide both side by 7

Answer:

£22

Step-by-step explanation:

Area to be painted

4walls - door

a = 4(2.6 * 3.5) - 2.2 * 0.8

a = 34.64 m²

Paint needed

p = 34.64 / 8

p = 4.33

Must round up

p = 5 liters

Tins needed

t = 5/2

t = 2.5

must round up

t = 3

Cost

since 1 is free with 2 will pay for 2

c = 11 * 2

c = 22

£22

Answer:

Step-by-step explanation:

BD is the altitude, it breaks ΔABC into two similar triangles:

The ratios of corresponding sides:

On the other hand:

Answer:

bouton

Step-by-step explanation:

Answer:

f(x)=x^2+1 -> f(a+1)=(a+1)^2+1=a^2+2a+1+1=a^2+2a+2

Step-by-step explanation:

Answer:

part 2 of 3 means is it ans

Step-by-step explanation:

I don't understand ur question can u explain me then I I will ans

Answer:

x = 37

Step-by-step explanation:

x+7 = 2(x-15)

x+7 = 2x-(2*15)

x+7 = 2x-30

7+30 = 2x-x

37 = x

So, the answer is x = 37.

Answer:

21

Step-by-step explanation:

goes up by 7

Answer:

B.

Step-by-step explanation:

Answer:

D, 143.

Step by step explanation:

Which graph?

___________

Answer:  $8.97

Step-by-step explanation:

he bought three jars and lowered the price by 75 cents for each, so multiply $0.75 by three

$0.75 * 3 = $2.25

so henri saved $2.25 in total

we can add that to what he paid to find the original cost

$6.72 + $2.25 = $8.97

so the original price was $8.97 :)

Answer:

Rs 6800

Step-by-step explanation:

Hope this helps

Answer:

.25

Step-by-step explanation:

there are 13 clubs

13/52= 1/4

Answer:

7/12

Step-by-step explanation:

fraction of field is planted potatoes = 1 - sum of fraction of farm planted with maize and beans

sum of fraction of farm planted with maize and beans  =

[tex]\frac{1}{6} + \frac{1}{4}[/tex]

[tex]\frac{2 + 3}{12} = 5/12[/tex]

1 - 5/12 = 7/12

Answer:

300 Bags

Step-by-step explanation:

According to the Question,

The radius of the pool = 3.5 m; the overall radius including the border = 3.5 + 2 = 5.5m

overall area - pool area = border area(A)

A = π×5.5² - π×3.5²

A = 56.55 sq m  

the volume of the concrete, change 50 mm to .05 m

56.55 * 05 = 2.8275 cu/meters

1 cubic metre requires 106 x 20 kg bags.

106 * 2.8275 = 299.715 ≈ 300bags

Answer:

Step-by-step explanation:

mean = sum of data / no of data

20 + 58 + 74 + 77 + 77 + 85 + 86 + 90 + 95 + 98 / 10

760 / 10

76

to find median u should arrange the data from ascending to descending order.

since the given data is already arranged u dont need to change.

median = (N + 1)/2     (N means no of data)

=10 + 1 / 2

=11 / 2

=5.5

= 5 th term + 6 th term /2

=77 + 85 /2

=162 / 2

=81

mode means most repeating number . so in this given data 77 is repeated two times while others occured just one times . so the mode of the given data is 77.

Mode = 77