Lincoln is measuring the angles of quadrilateral WXYZ to determine whether it is congruent to the quadrilateral below.

Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs $3.50, while the 16 oz. box cos

cluponka [151]

we have to solve simultaneous equations.

x = 10 oz. boxes

y = 16 oz. boxes

simultaneous equations

x + y = 24 ---1)

3.50x + 5.00y = 97.50 ----2)

to solve for x we need to eliminate y, therefore we have to multiply 1st equation by 5

5x + 5y = 120 --3)

subtract 3) - 2)

5x - 3.50x = 120 - 97.50

1.50x = 22.5 x = 15

number of 10 oz. boxes are 15. answer is d.15

6 0

2 years ago

Read 2 more answers

Madi has $8.80 in pennies and nickels.

shepuryov [24]

Let p = number of pennies.
Let n = number of nickels.

We are given that n= 2p and the total value is $8.80.

We know that a penny = $0.01 and that a nickel = $0.05.

So $0.01p + $0.05n = $8.80.

Substitute 2p for n:
$0.01p + $0.05*2p = $8.80

$0.01p + $0.10p = $8.80

$0.11p = $8.80

p = 80
So n = 2p = 2*80 = 160

Thus there are 80 pennies ($0.8) and 160 nickels ($8.00). The value of all the coins is $8.80.

7 0

2 years ago

Jenna concludes that (4,9) is the solution to the system of these two equations. which of the following justifies her conclusion

nalin [4]

Answer:

a. The point (4,9) appears in both tables

Explanation:

Note: This question can be solved without the need of the tables

A solution of a system of equations is defined as a point (or set of points) that satisfy both equations

This means that, this point should belong to all the equations in the system

Now, a table is used to show a set of points that belong to a certain line

This means that, all vales in the table belong to the line they represent

Since the point (4,9) appears in both tables, therefore, it belongs to both lines and, therefore, is a solution to the system of equations consisting of these two lines

Hope this helps :)

5 0

2 years ago

If the two adjacent angles are supplementary then their outer sides are???

Ainat [17]

Answer:

If the bisectors of two adjacent angles are perpendicular to each other, are the angles then supplementary angles?

Suppose two angles ABC and CBD are x and y.

x+y = 180 deg.

The bisector of angle ABC (BE) and the bisector of angle CBD (CF) will form angle EBF = (x/2)+(y/2) = 180/2 = 90 deg.

Conclusion: If the angle bisectors of two adjacent angles are perpendicular to eaxh other, the adjacent angles are supplementary angle

Adjacent angles are when the 2 angles have a common vertex and a common arm.

if the exterior sides of 2 adjacent angles are perpendicular, then the angles are complementary angles.

Then the sum of the 2 adjacent angles is a right angle - 90°.

When 2 angles add up to 90°, they are called a pair of complementary angles.

Step-by-step explanation:

6 0

1 year ago

Suppose that you bet $5 on each of a sequence of 50 independent fair games. Use the central limit theorem to approximate the pro

amm1812

Answer:

chances chances of happening = 0.0119

Step-by-step explanation:

given data

bet = $5

independent fair games = 50

solution

we will think game as the normal distribution

so here mean is will be

mean = $\frac{50}{2}$

mean = 25

and standard deviation will be

standard deviation = $\sqrt{50*0.5*0.5}$

standard deviation = 3.536

so

we have to lose 33 out of 50 time for lose more than $75

so as chance of doing things z score is

z score = $\frac{33-25}{3.536}$

z score = 2.26

so from z table

chances chances of this happening = 0.0119

8 0

2 years ago