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1 year ago

Find FL if H is the circumcenter of EFG,

Mathematics

1 answer:

Zanzabum1 year ago

8 0

The artistic crop isn't helpful; it cuts off some vertex names.

The circumcenter H is the meet of the perpendicular bisectors of the sides, helpfully drawn. We have right triangle ELH, right angle L, so

EH² = HL² + EL²

EL = √(EH² - HL²) = √(5.06²-2.74²) ≈ 4.2539393507665339

Since HL is a perpendicular bisector of EF, we get congruent segments FL=EL.

Answer: 4.25

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Usimov [2.4K]

From the given graph, the image is a trapezoid.
Therefore,
The first option, "the polygon is a rectangle" is incorrect.
The second option "Adjacent sides of the polygon are perpendicular." cannot be true as well because trapezoid has one the adjacent sides which is not perpendicular.
Third option" Opposite sides of the polygon are parallel", this can't be true as well because only two sides are parallel.
Fourth option " The slope of side c is 0.", this is true because line c is a horizontal line with zero rise and maximum run. Therefore,
Slope = 0 ÷ 9
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2 years ago

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Drag each interval to a box to show if the function shown is increasing, decreasing, or neither over that interval.

prisoha [69]

Answer:

Increasing

−5<x<−1

−1<x<1

Decreasing

4<x<7

−8<x<−5

Neither Increasing nor Decreasing

1<x<4

Step-by-step explanation:

8 0

1 year ago

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Write a real world problem that can be represented by the equation 3/4c=21

Black_prince [1.1K]

Answer: Real world problem is "A student have c toffee he distribute $\frac{3}{4}$ th part of those toffees to his friends. He gave total 21 toffees to his friend".

Explanation:

Let a student have c number of toffees in his bag.

It is given that he distribute $\frac{3}{4}$ th part of those toffees to his friends.

The $\frac{3}{4}$ th part of c toffees is,

$\frac{3c}{4}$

The total number of distributed toffees is 21.

$\frac{3c}{4}=21$

It is the same as given equation.

If we change the equation in words it means the $\frac{3}{4}$ th part of a number c is 21.

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1 year ago

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Given that the two parallel lines are cut by a transversal, and the measure of angle 2 is 50 degrees. Find each of the missing a

Mandarinka [93]

Answer:

Step-by-step explanation:

Lines m and l are the parallel lines and a line 'n' is a transverse intersecting these lines.

m∠2 = 50°

m∠1 + m∠2 = 180° [Linear pair of angles]

m∠1 = 180° - 50°

m∠1 = 130°

m∠3 = m∠1 = 130° [Vertically opposite angles]

m∠3 + m∠5 = 180° [Consecutive interior angles]

m∠5 = 180° - m∠3

= 180° - 130°

= 50°

m∠6 + m∠5 = 180° [Linear pair of angles]

m∠6 = 180° - 50° = 130°

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1 year ago

7700 dollars is placed in an account with an annual interest rate of 5.75%. How much will be in the account after 24 years, to t

Amanda [17]

Answer:

A = $18,326.00

(assuming simple interest)

Step-by-step explanation:

Assuming simple interest, the following formula applies:

final amount = (principal amount) x [1 + (annual rate)(time elapsed) ]

A = P (1 + rt)

in our case,

P = $7,700

r = 5.75% = 0.0575

t = 24 years

hence,

A = 7700 [ 1 + (0.0575)(24)]

A = 7700 ( 1 + 1.38)

A = 7700 x 2.38

A = $18,326.00

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1 year ago