Which statements can be deduced from the picture? (Select ALL that apply)

Opposite sides of a rectangle must be parallel true or false

shtirl [24]

Yes it does have to be parallel or else it would not be a rectangle.So it is true.

Hope this helped! :)

6 0

4 years ago

John & friends brought 4 bags of popcorn and 3 sodas at the movie for a total of 13.50. At the next movie John & friend

scoray [572]

Answer:

The cost of 5 bags of popcorn and 2 sodas is 14.25 units.

Step-by-step explanation:

We are given the following in the question:

Let x units be the cost of a popcorn bag and y units be cost of soda.

The cost of 4 bags of popcorn and 3 sodas is 13.50.

Thus, we can write the equation:

$4x + 3y = 13.50$

The cost of 2 bags of popcorn and 5 sodas is 12.00

Thus, we can write the equation:

$2x+5y=12$

Solving the two equations, we get,

$4x + 3y-(4x+10y) = 13.5 - 24\\\Rightarrow -7y =10.5\\\Rightarrow y = 1.5\\\Rightarrow 2x + 5(1.5) = 12\\\Rightarrow x = 2.25$

Thus, the cost of popcorn bag is 2.25 units and the cost of a soda is 1.5 units.

Cost of 5 bags and 2 sodas

= $=5x+2y\\=5(2.25) + 2(1.5)\\=14.25$

Thus, cost of 5 bags of popcorn and 2 sodas is 14.25 units.

8 0

3 years ago

Isabella spends $4.87 on paintbrushes and paint. How many of each item does she buy? Explain how you found your answer

Rina8888 [55]

Answer:Answer: Isabella buys 2 paintbrushes and 3 jars of paint.

Step-by-step explanation:

Isabella can buy together 5 paintbrushes ( p ) and jars of paint ( p ) : j + p = 5, She can`t buy 4 items ( because 4 * $0.99 = $3.96 < $4.87 ) and she also can`t buy 6 items ( 6 * $0.95 = $5.70 > $4.87 ). So: p = 5 - j. Another equation is: 0.95 * ( 5 - j ) + 0.99 j = 4.87, 4.75 - 0.95 j + 0.99 j = 4.87; 0.04 j = 0.12; j = 0.12 : 0.04; j = 3, p = 5 - 3 = 2. We can prove it: 0.95 * 2 + 0.99 * 3 = 1.90 + 2.97 = 4.87.

(Hope this helps!!!!)

5 0

4 years ago

An angle measures 82 degrees more than the measure of its supplementary angle. What is the measure of each angle

dolphi86 [110]

Smaller Angle: 49 degrees

Bigger Angle: 131 degrees

Note that supplementary angles add up to be 180 degrees. Knowing this and the information provided in the question, we can use the following system of equations:

x + y = 180 (showing they both add up to 180)

x + 82 = y (to show one angle is 82 more than the other)

We can use the substitution method to solve. Since the second equation ends in "= y" we can substitute the value of it into y for the first equation.

x + y = 180; x + 82 = y ==> x + (x + 82) = 180

And now, solve for x:

x + (x + 82) = 180

x + x + 82 = 180 > combine like terms

2x + 82 = 180

2x = 98

x = 49

So now we have the value for one of the angles! Remembering that the other angle is 82 degrees bigger, dd 49 + 82, which equals 131.

So, our two angle values are 131 and 49! This is correct since both angle measures add up to be 180, which also makes them supplementary!

6 0

4 years ago

Eli is a loan officer. he determines his clients’ eligibility for loans and for good interest rates by using their credit scores

ElenaW [278]

Eli is a loan officer. he determines his clients’ eligibility for loans and for good interest rates by using their credit scores, the evaluation of his applicants based on their mean and median credit scores will give Dirk the highest mean score, but Valerie has the highest median score.

<h3>How do you calculate the mean score?</h3>

Generally, The mean is computed by summing all of the scores and then dividing by the number of scores contributed.

In conclusion, with the given data Roy 750 792 661 Dirk 771 707 755 Haley 643 642 770 Valerie 646 773 762, Dirk has the highest mean score, but Valerie has the highest median score.