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vodka [1.7K]
4 years ago
10

Given: △ABC, D∈ AB, E∈BC, F∈AC, DE∥AC, AD∥FE, AD=6, DE=5, AB=17. Find: AC

Mathematics
1 answer:
Oxana [17]4 years ago
7 0

Answer:

AC = 7.73

Step-by-step explanation:

∵ DE // AC

∴ m∠BDE = m∠BAC ⇒ corresponding angles

∴ m∠BED = m∠BCA ⇒ corresponding angles

∵ ∠B is common angle

∴ Δ BDE is similar to Δ BAC

∴ BD/BA = DE/AC = BE/EC

∵ AD = 6 and AB = 17

∴BD = 17 - 6 = 11

∵ DE = 5

∴ 11/17 = 5/AC

∴ AC = (5 × 17) ÷ 11 = 7.7272 ≅ 7.73

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astraxan [27]

Answer:220

Step-by-step explanation:

LET X BE THE LENGTH OF RECTANGLE AND FOR UPPER PORTION OF DIA GRAM BASE OF RIGHT ANGLE TRIANGLE SO X=20

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LET P BE THE PERPENDICULAR OF THE RIGHT TRIANGLE SO P=6

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AREA OF RECTANGLE=LENGTH*WIDTH

SO AREA OF RECTANGLE BECOMES=(20)(8)=160

AND AREA OF RIGHT ANGLE TRIANGLE BECOMES=1/2(BASE*(PERPENDICULAR)

SO =1/2(20)(6)=60

SO THE TOTAL AREA OF THE DIAGRAM=AREA OF RIGHT ANGLE TRIANGLE+AREA OF RECTANGLE=160+60=220

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3 years ago
Find the flux of f = x3 i y3 j z3 k out of the closed surface z = x2 y2 , 0 ≤ z ≤ 5 oriented outward. g
borishaifa [10]

The flux of the given function f = x³i + y³j + z³k is given by f',

f' = 3(x²i + y²j + z²k)

Given, f = x³i + y³j + z³k

we have to find the flux of the given function f = x³i + y³j + z³k

On partial differentiating the function, we get

f' = 3x²i + 3y²j + 3z²k

f' = 3(x²i + y²j + z²k)

So, the flux of the given function f = x³i + y³j + z³k is given by f',

f' = 3(x²i + y²j + z²k)

Hence, the flux of the given function f = x³i + y³j + z³k is given by f',

f' = 3(x²i + y²j + z²k)

Learn more about Vector Calculus here brainly.com/question/10164701

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6 0
2 years ago
Someone answer need to delete
pishuonlain [190]

Answer:

I hope this helps!

Step-by-step explanation:

Have a great rest of your day!

6 0
3 years ago
PLEASE HELP ASAP THE DETAILS ARE BELOW.What is the value of x?
Aloiza [94]

Answer:

x = 30°.

Step-by-step explanation:

The dashes on the three lines indicate that the three lines are of equal lengths. The smaller triangle made out of the three lines (the one with two vertices on the circumference of the circle and one at the center of the circle) is an isosceles triangle. All three of the triangle's interior angles are 60° since it is isosceles.

The line (the one with arrows on its ends) touches the circle at only one point. That line is a tangent to the circle. That line is perpendicular to the segment that connects the center of the circle to the point of tangency. The angle between the two will be 90°.

The largest triangle includes three angles:

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The three interior angles of a triangle add up to 180°. As a result,

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6 0
4 years ago
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