Proving Two Triangles Are Congruent: What additional is needed to prove that ABC = DBF using the SAS congruence theorem?

Answer:

5/5 is 1 so D is correct.

Hope this helps!

Answer: she can make 3 cakes with 15 pounds of sugar

Step-by-step explanation: 15÷5=3

Answer:

[tex] \frac{3}{4} [/tex]

Step-by-step explanation:

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]m = \frac{6 - 3}{0 - ( - 4)} [/tex]

[tex]m = \frac{6 - 3}{0 + 4} [/tex]

[tex]m = \frac{3}{4} [/tex]

Answer:

x ≤ [tex]\frac{7}{17}[/tex]

Step-by-step explanation:

multipy both sides by twelve

move the variable to the left side and change the sign

collect like terms

divide both sides by -17 and flip the inequality sign

Answer:

13.5 and 2.76

Step-by-step explanation:

Answer:

x ≥ 1

Step-by-step explanation:

3 + 4x ≥ 7

3 - 3 + 4x ≥ 7 - 3

4x ≥ 4

4x / 4 ≥ 4 / 4

x ≥ 1

Answer:

z=6

Step-by-step explanation:

3z +4=22.3z+4-4=22-4.3z=18.3_3=18_3

Answer:

13.5

Step-by-step explanation:

Tom made fruit punch for a party

He used the following amount of fruits

2 gallons of orange juice

= if 1 gallon is 4 quart then 2 gallon is 4×2= 8 quarts

3 pints of cranberry juice

= if 1 pint is 0.5 quart then 3 pints is 0.5×3 = 1.5 quarts

The amount of quartz he made can be calculated as follows

= 1.5 + 8 + 4

= 13.5

Hence he made 13.5 quarts of fruit punch

Answer:

1, Because the half-life is 6 hours, the initial amount is halved every 6 hours. Due to the total of 18 hours, the starting amount will be divided by 2 (halved) three times. You will then have one-sixth of the original amount, which is 384 grams divided by six equals 48 grams.

Step-by-step explanation:

Answer:

[tex]\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4[/tex]

Step-by-step explanation:

Given

[tex]Dividend = 125x^3 - 8[/tex]

[tex]Divisor = 5x - 2[/tex]

Required

Determine the quotient

See attachment for complete process.

First, divide 125x^3 by 5x

[tex]\frac{125x^3}{5x} =25x^2[/tex]

Write [tex]25x^2[/tex] at the top

Multiply [tex]5x - 2[/tex] by [tex]25x^2[/tex]

[tex]= 125x^3 - 50x^2[/tex]

Subtract from 125x^3 - 8

i.e.

[tex]125x^3 - 8 - (125x^3 - 50x^2) = 50x^2 - 8[/tex]

Step 2:

Divide 50x^2 by 5x

[tex]\frac{50x^2}{5x} = 10x[/tex]

Write [tex]10x[/tex] at the top

Multiply [tex]5x - 2[/tex] by [tex]10x[/tex]

[tex]= 50x^2 - 20x[/tex]

Subtract from 50x^2 - 8

i.e.

[tex]50x^2 - 8 - (50x^2 - 20x) = 20x - 8[/tex]

Step 3:

Divide 20x by 5x

[tex]\frac{20x}{5x} = 4[/tex]

Write [tex]4[/tex] at the top

Multiply [tex]5x - 2[/tex] by [tex]4[/tex]

[tex]= 20x - 8[/tex]

Subtract from 20x - 8

i.e.

[tex]20x - 8 - (20x - 8) = 0[/tex]

Hence:

[tex]\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4[/tex]

Answer:

x=47

Step-by-step explanation:

180-121=59

180-(59+74)=47

Answer:

x = 47

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

121° is an exterior angle of the triangle, then

x + 74 = 121 ( subtract 74 from both sides )

x = 47

Answer:

270 calories

Step-by-step explanation:

Answer: 9 4/4 or 10 whole

Step-by-step explanation:

Answer: A. 90° clockwise, E. 270° counterclockwise

Answer:

just use the app Math-way it had a feature where you can take a picture of it and it will answer and give an explanation for your problem

Answer:

4x+1

Step-by-step explanation:

The area is 12x2 + 3x in

The length is 3x

Formula is A=L*B

12x2 + 3x=3x*B

Divide both side by 3x

12x2+3x divide by 3x=B

4x+1=B

The express for the width is 4x+1

Please mark as brainliest

Answer:

Step-by-step explanation:

Answer:

1 day because he has 100 machines not just one

Step-by-step explanation:

Answer:

Step-by-step explanation:

Plug the given value of the diameter into the formula and solve.[2]

Example problem: You have a circle tub with a diameter of 8 feet, and you want to build a white fence that creates a 6-foot wide space around the tub. To find the circumference of the fence that has to be created, you should first find the diameter of the tub and the fence which will be 8 feet + 6 feet + 6 feet, which will account for the entire diameter of the tub and fence. The diameter is 8 + 6 + 6, or 20 feet. Now plug it into the formula, plug π into your calculator for its numerical value, and solve for the circumference:

C = πd

C = π x 20

C = 62.8 feet

Answer:

Step-by-step explanation:

W=180-144

W=36 degrees

The sum of angles in a triangle always sum to 180 degrees.

6x+1+7x+36=180

13x+37=180

13x=143

x=11

U=6x+1

U=6(11)+1=67 degrees

V=7x

V=7(11)=77 degrees so

x=11 degrees, U=67 degrees, V=77 degrees, and W=36 degrees.

Answer:

ummmmmmmmmm I can try c:

Answer:

YES MAM , WHAT SEEMS TO BE THE PROBLEM < BECAUSE I DONT SEE ONE

Step-by-step explanation:

Answer: Ron tower's

Step-by-step explanation:

Given

Ron tower has a base of [tex]A_r=8\ in.^2[/tex]

Freddy tower has a base of [tex]A_f=6\ in.^2[/tex]

Suppose the tower is in the shape of a square prism

The volume of Ron and Freddy tower is [tex]320\ \text{and}\ 180\ in.^3[/tex]

The volume of a square-based prism is  [tex]V=\frac{1}{3}a^2h[/tex]

[tex]\therefore \text{height of Ron tower is}\ h_r=\dfrac{3V}{A_r}\\\\\Rightarrow h_r=\dfrac{3\times 320}{8}=120\ in.[/tex]

The height of Freddy tower is

[tex]\Rightarrow h_f=\dfrac{3V}{A_f}\\\\\Rightarrow h_f=\dfrac{3\times 180}{6}=90\ in.[/tex]

Thus, the height of Ron's tower is  more than Freddy's tower by [tex]30\ in.[/tex]

Answer:

1)X+4=2x-17+10

X. =2x-7-4

11=X

DF=11+4

=15

2)FH~

11x+71=12x+32

12x-11x =71-32

X=39

FH=(11×39)+71+(12×39)+32

=1000

3)57+39+8x-12=180

8x+84-84=180-84

8x=96

X=12

4)11x+2=68

11x=66

X=6

5)114+X+37+X=139

2x+151. -151=139-151

X=-6

Answer:

1. x=11

2. x=39

3. x= 12

4. x=6

5. x=-6

Step-by-step explanation:

1. x+4= 10+2x-17

FG=GH

x+4=2x-7

11=x

2. 11x+71=12x+32

subtract from both sides

39=x

3. All angles of a triangle add to 180.

39+57+(8x-12)=180

96+(8x-12)=180

8x-12=84

8x=72

divide both sides by 8

x=9

4. Vertical angles are equal

68=11x+2

66=11x

divide

6=x

5. (114+x)+(37+x)=139

Add like terms

151+2x=139

subtract

2x=-12

x=-6

Answer:

56 cent per ft²

Step-by-step explanation:

Wall dimension = 35 feets * 21.5 feets

Total cost of paint used = 421.40

Area of wall = Area of rectangle = Length * width

Area of wall = 35 feets * 21.5 feets

Area of wall = 752.5 ft²

Cost of paint per square feet:

Total coast of paint / Area of wall

$421.40 / 752.5 ft²

= $0.56 per ft²

= 0.56 * 100 = 56

Answer:

-x/2+4<12

      -4  -4

-x/2<8

  *2  *2

-x<16

/-1 /-1

x<-16

---

hope it helps

1=6

x=42

cross multiply

x=7

Please mark brainlist