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3 years ago

-5=6m-1 solve for m

Mathematics

2 answers:

expeople1 [14]3 years ago

7 0

Answer:

m= -2/3 or -0.6

Step-by-step explanation:

6m-1= -5+1

6m= -4/-6

m= - 2/3 or -0.6

Pachacha [2.7K]3 years ago

7 0

Answer:

m = -2/3

Step-by-step explanation:

-5 = 6m-1

Rewrite

6m - 1 = -5

Add 1 to both sides

6m = -4

Divide both sides by 6

m = -4/6

Simplifying

m = -2/3

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In ΔABC, m∠B = m∠C. The angle bisector of ∠B meets AC at point H and the angle bisector of ∠C meets AB at point K. Prove that BH

solniwko [45]

Answer:

See explanation

Step-by-step explanation:

In ΔABC, m∠B = m∠C.

BH is angle B bisector, then by definition of angle bisector

∠CBH ≅ ∠HBK

m∠CBH = m∠HBK = 1/2m∠B

CK is angle C bisector, then by definition of angle bisector

∠BCK ≅ ∠KCH

m∠BCK = m∠KCH = 1/2m∠C

Since m∠B = m∠C, then

m∠CBH = m∠HBK = 1/2m∠B = 1/2m∠C = m∠BCK = m∠KCH (*)

Consider triangles CBH and BCK. In these triangles,

∠CBH ≅ ∠BCK (from equality (*));
∠HCB ≅ ∠KBC, because m∠B = m∠C;
BC ≅CB by reflexive property.

So, triangles CBH and BCK are congruent by ASA postulate.

Congruent triangles have congruent corresponding sides, hence

BH ≅ CK.

5 0

3 years ago

The sum of the digits of a certain two-digit number is 7. Reversing its digits increases the number by 9. What is the number? wr

dimaraw [331]

Xy is the number

A) x + y = 7
B) 10y + x = 10x + y + 9
collecting terms of equation B
B) -9x + 9y = 9
multiplying A) by 9
A) 9x + 9y = 63 then adding it to equation B)
B) -9x + 9y = 9
18y = 72
y = 4
x = 3

The number is 34

4 0

4 years ago

ava bought 6 packages of tulip bulbs and 12 bags of dafodill bulbs for a total of $198 grace spent $254 buying 14 packages of tu

sasho [114]

Answer:

Answer:

Step-by-step explanation:

Let x represent the cost of one package of tulip bulbs.

Let y represent the cost of one bag of daffodil bulbs.

Ava bought 6 packages of tulip bulbs and 12 bags of daffodil bulbs for a total of $198. This means that

6x + 12y = 198- - - - - - - - - - - - -1

Grace spent $254 buying 14 packages of tulip bulbs and 12 bags of daffodil bulbs. This means that

14x + 12y = 254- - - - - - - - - - - - 2

Subtracting equation 2 from equation 1, it becomes

- 8x = - 56

x = - 56/-8

x = 7

Substituting x = 7 into equation 1, it becomes

6 × 7 + 12y = 198

42 + 12y = 198

12y = 198 - 42

12y = 156

y = 156/12

y = 13

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Step-by-step explanation:

Answer:

Step-by-step explanation:

Let x represent the cost of one package of tulip bulbs.

Let y represent the cost of one bag of daffodil bulbs.

Ava bought 6 packages of tulip bulbs and 12 bags of daffodil bulbs for a total of $198. This means that

6x + 12y = 198- - - - - - - - - - - - -1

Grace spent $254 buying 14 packages of tulip bulbs and 12 bags of daffodil bulbs. This means that

14x + 12y = 254- - - - - - - - - - - - 2

Subtracting equation 2 from equation 1, it becomes

- 8x = - 56

x = - 56/-8

x = 7

Substituting x = 7 into equation 1, it becomes

6 × 7 + 12y = 198

42 + 12y = 198

12y = 198 - 42

12y = 156

y = 156/12

y = 13

answers left

Answers are unlimited right now

Unlock all verified answers

Grow with a massive community of home learners

Ask your own homework questions

+98

douwdek0 and 98 others just joined Brainly

JOIN FOR FREE

Click to let others know, how helpful is it

0.0

0 votes

THANKS

Comments Report

Read more on Brainly.com - brainly.com/question/15268568#readmore

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3 years ago

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Ratling [72]

Answer:

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Step-by-step explanation:

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3 years ago

translate the sentence into an equation. the sum of 4 times a number and 8 equals 7. use the variable c for the unknown number

jek_recluse [69]

Answer: 4× 8c = 7

Step-by-step explanation:

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3 years ago