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3 years ago

How do you solve -2/3x + 5 = 20 - x

Mathematics

1 answer:

Monica [59]3 years ago

8 0

-2/3x + 5 = 20 - x

subtract 5 from each side

-2/3 x = 15 -x

add x to each side

-2/3 x +x = 15

get a common denominator of 3 for the x terms

-2/3x + 3/3 x =15

combine like terms

1/3 x = 15

multiply by 3 on each side

x = 45

Answer: x=45

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a vehicle uses 1 1/8 gallons of gas to travel 13 1/2 miles. at this rate how many miles can the vehicle travel per gallon of gas

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Answer:

The vehicle can travel 12 miles per gallon of gas.

Step-by-step explanation:

The number of gallons used by a vehicle = 1 1/8 gallons

i.e.

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The number of miles traveled by a vehicle = 13 1/2 miles

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3 years ago

Convert the following into litre and millilitres:. (a)726240ml

Fiesta28 [93]

Answer:

726.240 litre

Step-by-step explanation:

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3 years ago

I just need these questions answered, there is no requirement for any explanation! If anybody could assist, that would be great!

koban [17]

Answer:

See explanation

Step-by-step explanation:

Q9. Statement Reason

1) $\angle ABD \cong \angle CBD$ Given

2) $\overline{AB}\cong \overline{CB}$ Given

3) $\overline{BD}\cong \overline {BD}$ Reflexive property

4) $\triangle ABD\cong \triangle CBD$ SAS postulate

5) $\angle A\cong \angle C$ Corresponding parts of congruent triangles are congruent.

Q8. Statement Reason

1) $\overline{AD}\parallel \overline{BC}$ Given

2) $\angle A\cong \angle C$ Alternate interior theorem

3) $\angle AED\cong \angle CEB$ Vertical angles theorem

4) $\overline{AE}\cong \overline{EC}$ Given

5) $\triangle AED\cong \triangle CEB$ ASA postulate

Q7.

1) $\overline{BC}\cong \overline {EF}$ - Given

$\angle CBA\cong \angle FED$ - Given

Pairs of needed sides or pair of needed angles:

$\overline{AB}\cong \overline{DE}$

The postulate or theorem that can be used to prove the triangles are congruent:

SAS postulate

2) $\overline{BC}\cong \overline {EF}$ - Given

$\overline{AC}\cong \overline {DF}$ - Given

Pairs of needed sides or pair of needed angles:

$\overline{AB}\cong \overline{DE}$

The postulate or theorem that can be used to prove the triangles are congruent:

SSS postulate

3) $\overline{BC}\cong \overline {EF}$ - Given

$\angle CBA\cong \angle FED$ - Given

Pairs of needed sides or pair of needed angles:

$\angle ACB\cong \angle DFE$

The postulate or theorem that can be used to prove the triangles are congruent:

ASA postulate

4) $\overline{BC}\cong \overline {EF}$ - Given

$\angle CBA\cong \angle FED$ - Given

Pairs of needed sides or pair of needed angles:

$\angle CAB\cong \angle FDE$

The postulate or theorem that can be used to prove the triangles are congruent:

AAS postulate

Q10. Statement Reason

1) $\angle MCI\cong \angle AIC$ Given

2) $\overline{MC}\cong \overline{AI}$ Given

3) $\overline{CI}\cong \overline{CI}$ Reflexive property

4) $\triangle MCI\cong \triangle AIC$ SAS postulate

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3 years ago