Which statement is sufficient evidence that DEF is congruent to ABC?

Answer:

20 ft

Step-by-step explanation:

Convert all measurements to a single unit, inches, using the fact that 1 foot is equal to 12 inches.

ZY=(24⋅12) in.

Simplify.

ZY=288 in.

RH=(4⋅12) in.+2 in.

Simplify.

RH=50 in.

RQ=(5⋅12) in.

Simplify.

RQ=60 in.

ZX¯¯¯¯¯ and QH¯¯¯¯¯¯ are parallel because the rays of the Sun that form them are parallel. Therefore, the angles they form with the ground

are congruent: ∠Z≅∠Q.  

∠Y≅∠R by the Right Angle Congruence Theorem.

Therefore, by the Angle-Angle Similarity △ZXY~△QHR.

Find XY. Set up a proportion with the lengths of the known sides and the unknown length (height of the tower).

ZYQR=XYHR

Substitute the values.

28860=h50

Cross multiply.

60h=50(288)

Simplify.

60h=14400

Divide both sides by 60.

h=240

The height of the tower is 240 in., or 20 ft.

Percentage is a way to describe a part of a whole. French government gathers €85,930,190,677 more than the German government.

A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

We know that the number of people who are working in France is 31,491,232 and their average salary is €29,766 while the amount of tax they pay from their salary is 69.3%. therefore, the total amount of tax that France will gather,

[tex]Tax_{France} = 31,491,232 \times 29,766 \times 69. 3\%[/tex]

               [tex]= 31,491,232 \times 29,766 \times \dfrac{69. 3}{100}\\\\= 31,491,232 \times 29,766 \times 0.693\\\\=6.49596\times 10^{11}[/tex]

Now, the population that is working in Germany is 38,844,017 while the average earning of the population is €32,104 and they pay 45.2% of their salary as tax. therefore,

[tex]Tax_{Germany} = 38,844,017 \times 32,104 \times 45.2\%[/tex]

                   [tex]= 38,844,017 \times 32,104 \times 45.2\%\\\\= 38,844,017 \times 32,104 \times \dfrac{45.2}{100}\\\\= 38,844,017 \times 32,104 \times 0.452\\\\=5.63666 \times 10^{11}[/tex]

Further, the difference between the tax of the two countries can be written as,

[tex]\text{Differene in the tax}= Tax_{France} - Tax_{Germany} = 85,930,190,677[/tex]

hence, the French government gathers €85,930,190,677 more than the German government.

Learn more about Percentage:

https://brainly.com/question/6972121

Answer:

Based on the information in the table, how do the annual tax revenues of Germany and France compare to one another?

b. }   The French government gathers €543,141,128,984 more than the German government.

c. }   The German government gathers €309,680,310,056 more than the French government.

d.}   The German government gathers €223,750,119,378 more than the French government.

Step-by-step explanation:

Correct on Edge 2022

Answer:

8 pieces

Step-by-step explanation:

Hi!

Let's solve this question,

As [tex]48x^{2} [/tex]; [tex]64 {x}^{4} [/tex]; [tex]x[/tex]; [tex]36 {x}^{2} [/tex] are in proportion, so,

[tex]48 {x}^{2} = 64 {x}^{4} = x = 36 {x}^{2} [/tex]{x ≠ 0}

(Simplification attached as image)

[tex] = > \frac{12}{ {17x}^{2} } = \frac{1}{36x} [/tex]

[tex] = > 17 {x}^{2} = 12 \times 36x[/tex]

[tex] = > 17x = 432[/tex](Divided by 17 each side)

[tex] = > x = \frac{432}{17} [/tex]

Hence, value of x is [tex] \frac{432}{17} [/tex]

Answer:

a) $60

b) 60 + 6(22) = 132 + 60 = $192

c) 60 + 6(30) + 9(8) = 240 + 72 = $312

Answer:

Step-by-step explanation:

A ray is a line with 1 arrow and 1 dot. That arrow keeps on going forward that direction forever.

So, here are the options verified:

Correct choice is C.

Answer:

[tex]x=2.5[/tex]

Step-by-step explanation:

Given the following question:

[tex]-2x+14+10x=34[/tex]

In order to find the answer, we will group like terms, (terms with similar variables) and simplify.

[tex]-2x+14+10x=34[/tex]
[tex]-2x+14+10x=34=-2x+10x+14=34[/tex]
[tex]-2x+10x+14=34[/tex]
[tex]14-14=0[/tex]
[tex]34-14=20[/tex]
[tex]-2x+10x=20[/tex]
[tex]-2x+10x=8x[/tex]
[tex]8x=20[/tex]
[tex]8x\div8=x[/tex]
[tex]20\div8=2.5[/tex]
[tex]x=\frac{5}{2}/2.5[/tex]

Hope this helps.

The volume of the cylinder depends on its radius and height. The volume of the cylinder is 141.3 m3.

The volume of the cylinder is defined as the density of the cylinder which measures the amount of material contained by the cylinder.

Given that the height h of the cylinder is 5m and the diameter d of the base of the cylinder is 6m.

The radius of the cylinder is given below.

[tex]r = \dfrac {d}{2}[/tex]

[tex]r= \dfrac {6}{2}[/tex]

[tex]r = 3\;\rm m[/tex]

The volume of the cylinder is calculated as given below.

[tex]V = \pi r^2 h[/tex]

[tex]V = 3.14 \times 3^2 \times 5[/tex]

[tex]V = 141.3 \;\rm m^3[/tex]

Hence we can conclude that the volume of the cylinder is 141.3 m3.

To know more about the volume of the cylinder, follow the link given below.

brainly.com/question/12748872.

Answer:

20 men

Step-by-step explanation:

6*10=60 man hours to build 150 m

60/150=2/5 man hours per m

200*2/5=80 man hours

80/4 =20 men

Answer:

The answer is B.

3x + 5y = 24

4x + 3y = 21

Step-by-step explanation:

x = cost of a chocolate chip cookie

y = cost of an oatmeal cookie

3x + 5y = 24

4x + 3y = 21

Lets solve:

-3(3x + 5y = 24) ==> -9x - 15y = -72

5(4x + 3y = 21) ==>   20x + 15y = 105

Let's add our new equations:

-9x - 15y = -72

20x + 15y = 105

11x = 33

/11    /11

x = $3.00 (the cost of each chocolate chip cookie)

Now lets find the cost of each oatmeal cookie using one of our original equations: 3x + 5y = 24

3(3) + 5y = 24

9 + 5y = 24

-9          -9

5y = 15

/5     /5

y = $3 (the cost of each oatmeal cookie)

Each type of cookie (chocolate chip and oatmeal), costs $3.00

Hope that helps!

Answer:

negative.

Step-by-step explanation:

rules of multiplying intergers;

- * - = +

+ * + = +

- * + = - (-2) x 3 follows this rule)

+ * - = -

Step-by-step explanation:

Substitute f(-10) into the function:

[tex]f(-10)=\frac{9}{4(-10)}[/tex]

Multiply:

[tex]f(-10)=\frac{9}{(-40)}[/tex]

Simplify:

[tex]f(-10)=-0.225[/tex]

Answer:

4,0

Step-by-step explanation:

by moving left or right, our position on the y axis stays the same. We are however moving along the x axis. add 5 to -1, and you get 4.

The expression "x -16.5" is expressed as "x less 16.5". Option B shows the correct expression.

The expression is defined as a set of terms combined using the operations addition, subtraction, multiplication, or division.

The given expression is [tex]x - 16.5[/tex].

The expression shows that 16.5 is subtracted from x. The resulting value is 16.5 less than x.

If the expression is expressed in words, it would be "x minus 16.5" or "x is reduced by 16.5"

Hence we can conclude that the expression "x -16.5" is expressed as "x less 16.5". Option B shows the correct expression.

To know more about the expression, follow the link given below.

brainly.com/question/13947055.

Answer:

Step-by-step explanation:

By using the Pythagorean theorem:

b^2+3^2=5^2
b^2+9=25

b=sqrt (25-9)

b=sqrt(16)

b=4

=> 4^2+7^2=c^2
16+49=c^2
65=c^2
=>c=sqrt(65)

c = (approximately) 8

Answer:

-17x+10y=3

Step-by-step explanation:

Standard form is:

Ax+By=C

Let's start by simplifying the equation:

4y-5x=3(4x-2y+1)

Distribute the 3:

4y-5x=3(4x)+3(-2y)+3(1)

4y-5x=12x-6y+3

Subtract 12x from both sides

4y-17x=-6y+3

Add 6y to both sides

10y-17x=3

-17x+10y=3

Answer:

The main suspension cables between the towers of the Golden Gate Bridge form a parabola that can be modeled by the quadratic function: Y = 0.000112x2 + 220 where x is the horizontal distance from the middle of the bridge to the towers and y is the vertical distance from the water level to the bridge deck.

Step-by-step explanation:

So... yes.

Answer:

24feet

Step-by-step explanation:

Divide 30feet by 5

You'll get 6feet

Subtract 6 feet from 30feet

You'll get 24feet

Answer: 118 degrees

Step-by-step explanation:

By the exterior angle theorem.

3x + 12 + 2x + 16 = 6x + 10

5x + 28 = 6x + 10

x = 18

So measure of angle 3 = 6(18) + 10 = 118 degrees

Answer:

24 kilometers per hour

Step-by-step explanation:

Distance = Rate x time

You need to divide the number of kilometers by the number of hours it took.

-Chetan K

Answer:

you dont he never will

Step-by-step explanation:

he left

got milk

forgot about you

never came back

Answer:

He will neva come back

Step-by-step explanation:

Have a good day!

Answer:  30 feet

Explanation:

Draw a vertical number line.

Mark +20 or simply 20 which is the starting position at the diving board. The value 0 on the number line is the water's surface. The position -10 is the portion 10 feet at the bottom of the pool.

Going from 20 to 0 is 20 feet. Then going from 0 to -10 is another 10 feet.

Overall, you travel 20+10 = 30 feet.

Answer:

Step-by-step explanation:

Given equation:

Convert this to standard form by completing the square:

The center is (- 4, 2) and the radius is √27

Answer:

Your answer would be 25.

Answer:

If 7.40 is the price of a pizza, we have to make sure that he spends less than $40 on large pizzas. if Diego buy 5 pizzas he would spend $37 and would not have enough to afford another large pizza, meaning that he can buy 5 large pizzas

Answer:

(x-3)/9

Step-by-step explanation:

STEP

1

:

           -x

Simplify   ——

           3

Equation at the end of step

1

:

 (3 - x)   -x

 ——————— • ——

   3x      3

STEP

2

:

           3 - x

Simplify   —————

            3x  

Equation at the end of step

2

:

 (3 - x)   -x

 ——————— • ——

   3x      3

STEP

3

:

Canceling Out :

3.1    Canceling out x as it appears on both sides of the fraction line

Final result :

 x - 3

 —————

   9  

hope this helps!!

Answer:

The first part of the course is 34 miles

Step-by-step explanation:

If you get 34 miles into a 102 miles bike race, you still have 68 miles left, which is double 34

Answer:

34

Step-by-step explanation:

34 + 68 =102

34×2 =102 so 34 is the answer.