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labwork [276]
3 years ago
15

Name the identical triangles and measurement of side BA

Mathematics
1 answer:
aalyn [17]3 years ago
4 0

Step-by-step explanation:

BE/BC=BD/BA

tHE TWO SIMILAR TRIANGLES ARE BED AND BC. tHE PROPORTION ABOVE REPRESENTS USE OF THE TWO SIMILAR TRIANGLES.

4/(4 + 10) = 5/(5+X) Cross Multiply

4(5+x) = 5(4+10)m

20 +4x=20 +50 subtract 20 from both sides

4x = 50 divide by 4

x =12.5

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Please help me with the problem​
Ivan

Exact Answers:

  • Area = 150.5*sqrt(3)
  • Perimeter = 57+7*sqrt(3)

Approximate Answers:

  • Area = 260.673646539
  • Perimeter = 69.12435565

======================================

Explanation:

Your diagram is 100% correct. Nice work.

To get the area of the trapezoid, we could use the area of a trapezoid formula below:

A = h*(b1+b2)/2

In this case, we have,

  • h = 7*sqrt(3) = height
  • b1 = 18 = base1
  • b2 = 25 = base2

the bases are parallel to each other. The height is always perpendicular to the base. We won't use the "14" at all.

So,

A = h*(b1+b2)/2

A = 7*sqrt(3)*(18+25)/2

A = 7*sqrt(3)*21.5

A = (7*21.5)*sqrt(3)

A = 150.5*sqrt(3)

This is the exact area.

The approximate area is roughly

150.5*sqrt(3) = 260.673646539

The units for the area are in square km, or km^2. Though your teacher said for you not to include the units.

Another way to get the area of the trapezoid is to break the diagram into a rectangle and triangle as you have done so, and then find the area of each sub-piece. Adding the two smaller areas should lead to the result shown above.

-----------------------------------

To get the perimeter, we add up all of the exterior sides. We do not include the right-most vertical line that is 7*sqrt(3) km long because it is inside the figure. The horizontal segment that is 7 km long is part of the "25 km" segment, so we'll ignore that 7.

Adding the four exterior sides leads to:

7*sqrt(3)+18+14+25 = 57+7*sqrt(3)

This value is exact. It approximates to

57+7*sqrt(3) = 69.12435565

The units for the perimeter are in kilometers, and you won't have any exponent over the "km". While your teacher doesn't want the units, it's still handy to know what the units would be.

5 0
3 years ago
Read 2 more answers
Susan needs to simplify the expression shown below.
mash [69]

Answer:

The answer to 75 - ( 8 + 45 ÷ 3 ) × 2= 29

3 0
3 years ago
What value of x makes this equation true?-80=20+x​
Svet_ta [14]

Answer:

50 i think

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Can someone help with this question? Thank u! :)
MatroZZZ [7]

Answer:

2.50

Step-by-step explanation:

the pattern shown in the miles driven goes up each time by 5000, stating it's going up by a constant of 5000. the cost goes up each time by 2000.

divide 5000/2000 which would give you 2.5

round it by two decimal places which gives you 2.50

7 0
3 years ago
Hi!!! CLICK HERE!!! please answer this question well :)) i'll try to give brainliest when i can! thanks guys.
mylen [45]

Step-by-step explanation:

its too blurry I can't see the numbers

6 0
2 years ago
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