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2 years ago

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Lines a and b are parallel. What is the measure of ∠3 if ∠6 measures 84°?

1 answer:

Gennadij [26K]2 years ago

7 0

We need to know wat it looks like

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If someone could please explain to me how to do/work these out that would be great!

Ganezh [65]

Answer:

Place both coordinates for the first question on a graph and draw a line. The answer is the coordinate that falls on that line.

Step-by-step explanation:

7 0

2 years ago

Store A sells 11 bagels for 9.57 Store B sells bagels for 3.52. How do the unit rates compare?

Sloan [31]

First you put the numbers in this form:

11 Bagels = $9.57
________ _______
? Bagels = $3.52

Now they look like fractions but you have to cross multiply them like this: 11 x $3.52 which makes $38.72 then you divide $38.72 by $9.57 which makes the answer that you have to find which is 4.04597701 or just to round 4 and then that will be your answer.

4 0

2 years ago

Which is the inverse of the function a(d)=5d-3? And use the definition of inverse functions to prove a(d) and a-1(d) are inverse

Drupady [299]

Answer:

$a'(d) = \frac{d}{5} + \frac{3}{5}$

$a(a'(d)) = a'(a(d)) = d$

Step-by-step explanation:

Given

$a(d) = 5d - 3$

Solving (a): Write as inverse function

$a(d) = 5d - 3$

Represent a(d) as y

$y = 5d - 3$

Swap positions of d and y

$d = 5y - 3$

Make y the subject

$5y = d + 3$

$y = \frac{d}{5} + \frac{3}{5}$

Replace y with a'(d)

$a'(d) = \frac{d}{5} + \frac{3}{5}$

Prove that a(d) and a'(d) are inverse functions

$a'(d) = \frac{d}{5} + \frac{3}{5}$ and $a(d) = 5d - 3$

To do this, we prove that:

$a(a'(d)) = a'(a(d)) = d$

Solving for $a(a'(d))$

$a(a'(d)) = a(\frac{d}{5} + \frac{3}{5})$

Substitute $\frac{d}{5} + \frac{3}{5}$ for d in $a(d) = 5d - 3$

$a(a'(d)) = 5(\frac{d}{5} + \frac{3}{5}) - 3$

$a(a'(d)) = \frac{5d}{5} + \frac{15}{5} - 3$

$a(a'(d)) = d + 3 - 3$

$a(a'(d)) = d$

Solving for: $a'(a(d))$

$a'(a(d)) = a'(5d - 3)$

Substitute 5d - 3 for d in $a'(d) = \frac{d}{5} + \frac{3}{5}$

$a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}$

Add fractions

$a'(a(d)) = \frac{5d - 3+3}{5}$

$a'(a(d)) = \frac{5d}{5}$

$a'(a(d)) = d$

Hence:

$a(a'(d)) = a'(a(d)) = d$

7 0

2 years ago

According tot he rational root theorem, which statement about f(x)=12x^3-5x^2+6x+9 is true?

vampirchik [111]

Answer:

If there are any rational roots, it would be a factor of your constant term (9) divided by a factor of the high-order coefficient (12).

3 0

2 years ago

Gail can use her 12% employee discount once a week. Last Sunday, she bought a $45 sweater at 1/3 off and used her discount on th

NNADVOKAT [17]

Statement 1 : Gail bought a $45 sweater at 1/3 off.

<u>Discount in Sweater Purchase:</u>

$\frac{1}{3} \; of \; 45 = \frac{1}{3} \times 45 \; = \;\frac{45}{3} =\$15$

Statement 2: Gail can use her 12% employee discount once a week and used her discount on the suit priced at $140.

Discount in Suit Purchase:

$12\% \; of \; 140 =\frac{12}{100} \times 140 = 0.12 \times 140 = \$16.8$

Conclusion:

<u>Discount in Suit Purchase ($16.8) is greater than Discount in Sweater Purchase ($15)</u>

8 0

2 years ago

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