Mathematics, 22.06.2021 14:00, smith12349

Match the statement with the appropriate reason for the proof above. Answers may be used more than once. You will have to fill in the blanks for 3 and 9 so you know the reason to match it with, but you are not picking solutions for 3 and 9

Match the statement with the appropriate reason for the proof above. Answers may be used more than

Answers: 3

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Answers

answered: TravKeepIt100

Step-by-step explanation:

From the given question, the following statements and reasons can be matched;

Statement Reason

1. <1 and <2 are linear pair Given

2. <1 and <2 are supplementary Linear pair postulate

3. <1 ≅ <2

4. <1 ≈ <2 Given

5. m<1 = m<2 Substitution POE

6. m<1 + m<2 = $180^{o}$ Def of supplementary angles

7. 2(m<1) = $180^{o}$ Simplify/ Combine like terms

8. m<1 = $90^{o}$ Definition of right angle

9. 2(m<2) = $180^{o}$

10. g ⊥ h Def of perpendicular lines

answered: Guest

$w\geq 14$

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

$2l+2w\geq 40$

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

$2\times 6+2w\geq 40$

now, we can solve for w

$12+2w\geq 40$

subtract both sides by 12

$12+2w-12\geq 40-12$

$2w\geq 28$

divide both sides by 2

and we get

$w\geq 14$

so,

the smallest possible measurement of the width is 14 feet

answered: Guest

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

$\text{simple interest} = \frac{principal\times rate\times time}{100} \\\\\text{simple interest} = \frac{1000\times 4\times 10}{100}=\$400\\\\amount = principal + interest\\amount = 1000 + 400 = \$1400$

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500

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Match the statement with the appropriate reason for the proof above. Answers may be used more than o...