please help asap. thank you very much

Given:

In triangle ACD, BE||CD, AB = 20 cm, BC = 5 cm, CD = 18 cm, AE = 26 cm.

To find:

(a) The length of ED.

(b) The length of BE.

Solution:

In triangle ABE and ACD,

BE||CD, so angle ABE and angles ACD are corresponding angles. So, their measure are equal.

[tex]m\angle ABE=m\angle ACD[/tex]          (Corresponding angles)

[tex]m\angle BAE=m\angle CAD[/tex]          (Common angle)

Now,

[tex]\Delta ABE\sim \Delta ACD[/tex]

Corresponding sides of similar triangles are proportional.

[tex]\dfrac{AB}{AC}=\dfrac{BE}{CD}=\dfrac{AE}{AD}[/tex]

(a)

[tex]\dfrac{AB}{AC}=\dfrac{AE}{AD}[/tex]

[tex]\dfrac{20}{20+5}=\dfrac{26}{AD}[/tex]

[tex]\dfrac{20}{25}=\dfrac{26}{AD}[/tex]

[tex]0.8=\dfrac{26}{AD}[/tex]

Isolate AD.

[tex]0.8AD=26[/tex]

[tex]AD=\dfrac{26}{0.8}[/tex]

[tex]AD=32.5[/tex]

Now,

[tex]AD=AE+ED[/tex]

[tex]32.5=26+ED[/tex]

[tex]32.5-26=ED[/tex]

[tex]6.5=ED[/tex]

Therefore, the length of ED is 6.5.

(b)

[tex]\dfrac{AB}{AC}=\dfrac{BE}{CD}[/tex]

[tex]\dfrac{20}{25}=\dfrac{BE}{18}[/tex]

[tex]0.8=\dfrac{BE}{18}[/tex]

Multiply both sides by 18.

[tex]14.4=BE[/tex]

Therefore, the length of BE is 14.4.

Answer:

10 feet

Step-by-step explanation:

Use the volume formula, V = lwh, to solve for w

Plug in the values we know:

V = lwh

250 = (5)(w)(5)

250 = 25w

10 = w

So, the width is 10 feet

Answer:

x = 37

Step-by-step explanation: Every angle in a triangle adds up to 180, so we can set up an equation where (x + 48) + (x + 58) = 180. From here, we can combine like terms to get 2x + 106 = 180. 180-106 is 74. 74 divided by 2 is 37. So, x = 37.

Answer:

a). x = 10.20 in

b). x = 2.24

Step-by-step explanation:

a). By applying Pythagoras theorem in the given right angle,

    (Hypotenuse)² = (Leg 1)² + (Leg 2)²

    (15)² = x² + (11)²

     225 = x² + 121

     x² = 225 - 121

     x² = 104

     x = √104

     x = 10.198 ≈ 10.20 in

b). By applying Pythagoras theorem,

    (3x)² = (2x)² + (5)²

     9x² = 4x² + 25

     9x² - 4x² = 25

     5x² = 25

      x² = 5

    x = √5 = 2.24

Answer:

Yes it is 10

Step-by-step explanation:

Answer:

d-"5"_""__"_'uvyctxycuvycycycyv

Answer:

238

Step-by-step explanation:

280 times 0.85 = 238

Answer:

Height = 5 ft

Base = 11 ft

Step-by-step explanation:

The area of a parallelogram is

Base × Height

From the question:

The base of a parallelogram is 6 ft more than the height.

Base = 6ft + h

If the area of the parallelogram is 55 ft^2​,

what are the measures of the base and the​ height?

This is calculated as:

55 ft² =( 6 + h ) × h

55 = 6h + h²

h² + 6h - 55 = 0

h² +5h - 11h - 55 = 0

h(h + 5) - 11(h + 5) = 0

(h + 5)(h - 11) = 0

h - 11 = 0

height = 5ft

Base = 6 + h = 6 + 5

Base = 11ft

Answer:

Emani call me after before we go back to school i got 100 on it

Step-by-step explanation:

Answer:

The annual interest rate is 12.05%

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Cost of owning and operating a printer :

Purchase Cost = $100

Printing per per page = $0.05

Thus, owning and operating cost :

Purchase cost + (Printing per page * number of pages)

Number of pages = p

100 + 0.05p

Service cost :

Amount per page = 0.25

Total revenue = cost per page * number of pages

Total revenue from service =. 0.25p

The equation :

100 + 0.05p = 0.25p ; is the owning and operating cost = total revenue

It gives the equation to calculate the number of pages at which total revenue equals owning and operating cost.

100 + 0.05p = 0.25p

100 =0.25p - 0.05p

100 = 0.20p

p = 100/0.2

p = 500

When number of pages equals 500; the owning and operating cost is equal to the revenue made.

Answer:

Option D: 1 is the correct answer.

Step-by-step explanation:

Given that:

n(x) = 7x+4        

n(x) = 11

Putting n(x) = 11 in first function.

11 = 7x + 4

Now, we will subtract 4 from both sides

11 - 4 = 7x + 4 - 4

7 = 7x

7x = 7

Dividing both sides by 7

[tex]\frac{7x}{7}=\frac{7}{7}[/tex]

x = 1

Hence,

Option D: 1 is the correct answer.

Answer: 2261.9 ft

Step-by-step explanation: One trip around is one circumference of a circle. The circumference is 2πr. That's 2(π)(90 ft) = 565.4867 ft. Multiply by 4 trips around for a total distance of 2261.9 ft If you care about significant figures, then you only have report  sig fig, so that's 2000 ft.

The total distance traveled by the seated person is 2260.8 feet.

Given that the distance from the center of the wheel to the seat is 90 feet. The seated person travels for 4 revolutions.

The distance traveled by the seated person in one revolution will be equal to the circumference of the wheel has a radius of r. Hence the circumference of the wheel is given below.

One revolution = [tex]2\pi r[/tex]

One revolution = [tex]2 \times 3.14\times 90[/tex]

One revolution = 565.2 feet

Hence the distance covered in four revolutions can be calculated as below.

Total Distance = [tex]4 \times 565.2[/tex]

Total Distance = 2260.8 feet

Hence we can conclude that the total distance traveled by the seated person is 2260.8 feet.

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

https://brainly.com/question/1214027.

Hello!

[tex]\large\boxed{x = 6}[/tex]

The figure pictured contains two congruent triangles (ASA), so we can assume that:

JK ≅ JM

Therefore:

2x - 4 = 4x - 16

Subtract 2x from both sides:

2x - 2x - 4 = 4x - 2x - 16

-4 = 2x - 16

Add 16 to both sides:

-4 + 16 = 2x - 16 + 16

12 = 2x

Divide both sides by 2:

12/2 = 2x/2

x = 6.

Answer:

The answer is "Option C".

Step-by-step explanation:

Please find the correct question in the attached file.

[tex]\to 1 \frac{2}{5} = \frac{7}{5} \\\\let \\ \to \frac{7}{5} =1.4\\\\\to \frac{2}{5}= 0.4\\\\\to 1.4- 0.4\\\\ \to 1\\[/tex]

Its outcome is 1.4 if we subtract from 0.4. However, a fraction of less than 2/5 may be deducted. This means that the outcome still exceeds 1, that's why choice C is correct.

Answer:

y-Step-bstep explanation:

ok so

the triangle has 3 angle

45-45-90

one 45 points to x

that means the other side is also x

the 90 degrees points to 3

3=x√2

x=2.12132

The value of x in the given diagram is 3√2, Option C is correct.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The given triangle has 45-45-90 degrees.

We have to find the value of x in the given triangle.

The cosine function is ratio of the adjacent side by hypotenuse.

cos 45= 3/x

The value of cos 45 degrees is one divided by root 2.

1/√2 =3/x

Now apply the cross multiplication

x=3√2

Hence, the value of x in the given diagram is 3√2, Option C is correct.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ7

Answer:

the answer is 62!

Step-by-step explanation:

multiply

Answer:

$248

Step-by-step explanation:

310/100=3.1

3.1x20=62

310-62=248$

The area of the rectangle is 44 square inches larger than the area of the square.

The area of a rectangle is defined as the product of the length and width.

Let represents the original side length of the square "s", then the dimensions of the rectangle are (s+10) inches and (s-1) inches.

So the area of the rectangle is (s+10)(s-1) = s² + 9s - 10.

Since the area of the rectangle is given as 80 square inches, we can set up the equation:

s² + 9s - 10 = 80

Solving this equation for s, we find that s = 6. This means that the original side length of the square was 5 inches.

The area of the square is s² = 6² = 36 square inches. So the area of the rectangle is 80 square inches and the area of the square is 36 square inches.

Therefore, the area of the rectangle is 80 - 36 = 44 square inches larger than the area of the square.

Learn more about the Area of the rectangle here:

brainly.com/question/20693059

#SPJ2

Answer:

area= 50.2654825

dssssss

Answer:

48 if pi is equal to 3

50.48 if pi is equal to 3.14

Step-by-step explanation:

To find the perimeter of a shape, you need to add up the measurements of all the sides to find it. I hope this helps. Let me know if you need some help with some perimeter problems :)

Answer:

Step-by-step explanation:

D. Isaac is correct he needs 2 cups of sugar because a ratio 2 to 4 is equivalent to 3to6 ​,

(The ratio 3:6 is equivalent to 1:2, similarly 2:4 is equivalent to 1:2, therefore the ratios 3:6 and 2:4 are the same)

Answer:

the answer is D

hope this helpful

Answer:

I'm guessing A, but am not sure, as for any number can go there if it's over 9!

Answer:

5,040 jumps

Step-by-step explanation:

Let's figure out the number of jumps per hour

42 steps/minute * 60 minutes/hour = 2,520 jumps/hour

Mary Beth is jumping for 2 hours, so we need to multiply by 2 hours.

2,520 jumps/hour * 2 hours = 5,040 jumps

Answer:

(x-3)(x-5)

Step-by-step explanation:

Answer:

x = 3 or x= 5

Step-by-step explanation:

Δ = (-8)² - 4×15

   = 64- 60

   =4

and 4≥0

so x = (8 - √4 )÷2 = 3

or  x= (8 + √4 )÷2 = 5

so P(x) = (x-3) (x-5)

Answer:

The answer is 288 minutes

Answer:

20%

Step-by-step explanation:

The percent of the compound that is made of uranium is calculated as:

(Number of ounces of uranium /Number of ounces of the compound)

× 100

Total amount of uranium in the compound weighs = 18 ounces

A compound is made up of various elements totaling = 90 ounces.

Hence:

= 18/90 × 100

= 1800/90

= 20%

Therefore, the percent of the compound that is made up of uranium is 20%

Answer:

1. AD

2. 5.2 cm

3. x = 4

4. BC

5. 3

6. x = 12

Step-by-step explanation: