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N76 [4]
3 years ago
16

Triangle D F E is shown. Lines are drawn from each point to the opposite side to form right angles. The lines intersect at point

K. All side lengths are congruent.
[Figure may not be drawn to scale]

In triangle DFE, KJ = 50 units. What is the length of segment EK?

25 units
50 units
100 units
150 units
Mathematics
1 answer:
IRINA_888 [86]3 years ago
9 0

Answer:

I believe the answer is 100 units  :)

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Mila [183]
82=100% 100%-13%=87% find 87% of 82 percent mean sparts ou tof 100 87%=87/100=0.87 'of' means multipy 87% of 82= 0.87 times 82=71.34
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3 years ago
Which ordered pair is the best estimate for the solution of the system of equations? y=−2/5x−2y=5x+1
lutik1710 [3]

Option a: (-0.5,-1.75) is the solution to the system of equations.

Explanation:

The equations are y=-\frac{2}{5} x-2 and y=5 x+1

Equating these two equations, we have,

-\frac{2}{5} x-2=5 x+1

Taking LCM and multiplying both sides by 5, we get,

-2 x-10=25 x+5

Simplifying , we get,

\begin{aligned}-10-5 &=25 x+2 \\-15 &=27 x \\-\frac{15}{27} &=x \\-\frac{5}{9}  &=x\end{aligned}

Substituting the value of x in y=5 x+1, we get,

\begin{aligned}&y=5\left(-\frac{5}{9}\right)+1\\&y=-\frac{25}{9}+1\\&y=-\frac{16}{9}\end{aligned}

Thus, the solution is \left(-\frac{5}{9},-\frac{16}{9}\right)

Changing the solution from fraction to decimal, we get, (-0.556,-1.778)

Thus, the solution is (-0.5,-1.75)

Hence, option a is the correct answer.

4 0
3 years ago
(x⁴ + 3x³ – 2x² + 5) + (2x⁴ – 5x³ + 4x – 15).
olya-2409 [2.1K]

Answer:

\left(x^4+3x^3-2x^2+5\right)+\left(2x^4-5x^3+4x-15\right)

= x^4+3x^3-2x^2+5+2x^4-5x^3+4x-15

=x^4+2x^4+3x^3-5x^3-2x^2+4x+5-15

=x^4+2x^4-2x^3-2x^2+4x+5-15

=3x^4-2x^3-2x^2+4x+5-15

=3x^4-2x^3-2x^2+4x-10

OAmalOHopeO

8 0
3 years ago
A set of ordered pairs (x, y) is called a . It may or may not also be a function.
Pani-rosa [81]

Answer:

A relation is a set of ordered pairs.

Step-by-step explanation:

The set of all first components of the ordered pairs is called the domain of the relation and the set of all second components of the ordered pairs is called the range of the relation.

5 0
4 years ago
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Which of the following numbers is a multiple of 7?
MakcuM [25]

Answer:

You have to share number too

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