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Naddika [18.5K]
2 years ago
9

Which equation represents a line which is parallel to the line 8x + 7y = -28?

Mathematics
1 answer:
Paul [167]2 years ago
5 0

Answer:

-8/7 slope

Step-by-step explanation:

so first u need to figure out the y=mx+b of ur equation 8x+7y=-28 to make it easier on urself yk. so first you get the y by it self and change it to become 7y= -8x-28 you do this by dragging the 8x to the other side which makes it negative since ur switching sides. now u divide each number by 7 since the 7y is by itself. doing this u get y= -8/7x-4. basically parallel = same slope so you will keep ur same slope or m as -8/7  and now all u need to find is b but in ur question u didnt give coordinates so irdk but ur answer has to have the -8/7 slope

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Given: KLMN is a parallelogram, LF is perpendicular to KN, LD is perpendicular to NM, angle FLD = 35. Find angles of KLMN
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The question is four parts, It is required the angles of parallelogram KLMN

So, It is required ⇒ ∠K  , ∠L  , ∠M  and ∠N

See the attached figure which represents the explanation of the problem

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

Part (1): Find  ∠N:

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

in the shape FLDN

∵ LF ⊥ KN  ⇒⇒⇒ ∴ ∠LFN = 90°

∵ LD ⊥ NM ⇒⇒⇒ ∴ ∠LDN = 90°

∵ The sum of all angels of FLDN = 360°

∵ ∠FLD = 35°

∴ ∠FLD + ∠LDN + ∠DNF + ∠LFN = 360°

∴ 35° + 90° + ∠DNF + 90° = 360°

∴ ∠DNF = 360° - ( 90° + 90° + 35°) = 360° - 215° = 145°

∴ The measure of angle N = 145°

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

Part (2): Find  ∠M:

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

∵ KLMN is parallelogram , ∠N = 145°

∴ The angles N and M are supplementary angles ⇒ property of the parallelogram

∴ ∠M + ∠N = 180°

∴ ∠M = 180° - ∠N = 180° - 145° = 35°

∴ The measure of angle M = 35°

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

Part (3): Find  ∠L:

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

∵ KLMN is parallelogram , ∠M = 35°

∴ The angles N and M are supplementary angles ⇒ property of the parallelogram

∴ ∠M + ∠KLM = 180°

∴ ∠KLM = 180° - ∠M = 180° - 35° = 145°

OR ∠KLM = ∠N = 145° ⇒⇒⇒  property of the parallelogram

∴ The measure of angle KLM = 145°

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

Part (4): Find  ∠K:

==============∵ KLMN is parallelogram , ∠N = 35°

∴ The angles N and M are supplementary angles ⇒ property of the parallelogram

∴ ∠K + ∠N = 180°

∴ ∠K = 180° - ∠N = 180° - 145° = 35°

OR ∠K = ∠M = 35° ⇒⇒⇒  property of the parallelogram

∴ The measure of angle K = 35°

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2 years ago
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