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2 years ago

Help me please due in 30 minutes !

Mathematics

1 answer:

scoundrel [369]2 years ago

5 0

Answer:

Step-by-step explanation:

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At the library by 9 books on a certain topic the librarian tells you that 55% of the books on this topic have been signed out ho

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About 5 books have been signed out, so they still have 4.

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3 years ago

What is the value of s in 7 = -10s - 3

mojhsa [17]

Answer:

-1 = s

Step-by-step explanation:

7 = -10s - 3

Add 3 to each side

7+3 = -10s - 3+3

10 = -10s

Divide each side by -10

10/-10 = -10s/-10

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3 years ago

Set up a proportion table, write a legend and solve the corresponding proportion. Write a sentence answering the question: Tom r

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3 years ago

WANNA BE MARKED THE BRAINLIEST? <br> Just answer this question.

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Step-by-step explanation:

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2 years ago

Given: KLMN is a trapezoid, m∠N=m∠KML, FD=8, LM KN = 3/5 F∈ KL , D∈ MN , ME ⊥ KN KF=FL, MD=DN, ME=3root5 Find: KM

Sergio039 [100]

Answer:

The length of KM is $\sqrt{109}$ units.

Step-by-step explanation:

Given the statement: KLMN is a trapezoid, ∠N= ∠KML, FD=8, $\frac{LM}{KN}=\frac{3}{5}$ , F∈ KL, D∈ MN , ME ⊥ KN KF=FL, MD=DN, $ME=3\sqrt{5}$ .

From the given information it is noticed that the point F and D are midpoints of KL and MN respectively.

The height of the trapezoid is $3\sqrt{5}$ .

Midsegment is a line segment which connects the midpoints of not parallel sides. The length of midsegment of average of parallel lines.

Since $\frac{LM}{KN}=\frac{3}{5}$ , therefore LM is 3x and KN is 5x.

$\frac{3x+5x}{2}=8$

$\frac{8x}{2}=8$

$x=2$

Therefore the length of LM is 6 and length of KN is 10.

Draw perpendicular on KN form L and M.

$KN=KA+AE+EN$

$10=6+2(EN)$ (KA=EN, isosceles trapezoid) $EN=2$

$KE=KN-EN=10-2=8$

Therefore the length of KE is 8.

Use Pythagoras theorem is triangle EKM.

$Hypotenuse^2=base^2+perpendicular^2$

$(KM)^2=(KE)^2+(ME)^2$

$(KM)^2=(8)^2+(3\sqrt{5})^2$

$KM^2=64+9(5)$

$KM=\sqrt{109}$

Therefore the length of KM is $\sqrt{109}$ units.

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3 years ago