This question is financial algebra:

Ludmilka [50]

A. The relationship of <7 and <8 are that they are vertical angles, and are congruent.

B. Since vertical angles are congruent, you can form an equation where the two measurements equal each other.

C. 5y-29=3y+19 then plug y into your equation: 5*24-29=91
2y=48 and so: <7 = 180-91=89 (and since <8 is congruent)
y=24 <8 also equals 89

Your second problem:
complementary are two angles that add up to 90 degrees.
<B=x, <A=2x
2x+x=90
3x=90
x=30 so: <B=30 degrees, <A=60 degrees

Your third problem:
1. Since A and B are parallel, angle 3x+7 and angle 4x+5 are same-sided exterior angles. That means that they both add up to 180 degrees. So if you should add the two and make it equal 180
2. 3x+7+4x+5=180
7x+12=180
7x=168
x=24
3. <6 is a corresponding angle with angle 3x+7, meaning that they are congruent. So plug x into 3x+7: 3*24+7=79 and since <6 is congruent to 3x+7, <6=79 degrees

6 0

3 years ago

Read 2 more answers

Please select the word from the list that best fits the definition

Marat540 [252]

Answer:

quadrilateral

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

In a bag of marbles, 6 are blue. The probability of picking out a blue marble from the bag is 3/5. How many marbles are in the b

postnew [5]

Answer: 3/5 = (6/10). There are 10 TOTAL marbles in the bag.

Step-by-step explanation:

Since it is a question of fractions, you can assume any reasonable number and work with the numbers. We know initially that there are 6 marbles and they are ALL blue and the rest are another color or colors. So BLUE = 6/10 and the other colors 4/10 for 2/5.

6 0

3 years ago

HELP ME PLEASEEEE I BEG YOUUU

Alex777 [14]

Answer:

1.a. E>D

b. E<F

2. Yes. There are multiple combinations on how to do number 1. The first question asks how for a, you need a letter that is bigger than another letter, and for b, you need a letter that is smaller than the other letter's value. There are many ways to go about that previous problem.

Step-by-step explanation:

Hello!

To solve this question, we first need to realize that this is a simple number line. A number line is just a line that contains multiple points from the left being negative, middle is zero, and right becoming increasingly positive.

In this case, D is zero, and A-C are deemed negative. E-F are positive.

For a, we need to find a point that is bigger than another point.

We have various answers for this. F is bigger than A-E, E is bigger than A-D, D is bigger than A-C, C is bigger than A-B, and B is bigger than A. As long as any of your answer goes along this format it is correct.

B is asking a number that is smaller than that said number. A is smaller to B-F, B is smaller to C-F, C is smaller to D-F, E is smaller to F. So again, any letter combination that falls within this category is correct.

For the last one, there are multiple combinations, meaning there is just not one answer that fulfills that question.

6 0

2 years ago

A company manufactures two different sizes of boat lifts. The smaller lift requires 1 hour in the welding department and 2 hours

qaws [65]

Answer:

The solution that optimizes the profit is producing 0 small lifts and 50 large lifts.

Below are all the steps explained in detail.

The graph is attached.

Explanation:

1. Name the variables:

x: number of smaller lifts
y: number of larger lifts

2. Build a table to determine the number of hours each lift requires from each department:

Number of hours

small lift large lift total per department

Welding department 1x 3y x + 3y

Packaging department 2x 1y 2x + y

3. Constraints

150 hours available in welding: x + 3y ≤ 150
120 hours available in packaging: 2x + y ≤ 120
The variables cannot be negative: x ≥ 0, and y ≥ 0

Then you must:

draw the lines and regions defined by each constraint
determine the region of solution that satisfies all the constraints
determine the vertices of the solution region
test the profit function for each of the vertices. The vertex that gives the greatest profit is the solution (the number of each tupe that should be produced to maximize profits)

4. Graph

See the graph attached.

Here is how you draw it.

x + 3y ≤ 150
draw the line x + 3y = 150 (a solid line because it is included in the solution set)
shade the region below and to the left of the line

2x + y ≤ 120
draw the line 2x + y ≤ 120 (a solid line because it is included in the solution set)
shade the region below and to the left of the line

x ≥ 0 and y ≥ 0: means that only the first quadrant is considered

the solution region is the intersection of the regions described above.

take the points that are vertices inside the solutoin region.

5. Test the profit function for each vertex

The profit function is P(x,y) = 25x + 90y

The vertices shown in the graph are:

(0,0)
(0,50)
(42,36)
(60,0)

The profits with the vertices are:

P(0,0) = 0
P(0,50) = 25(0) + 90(50) = 4,500
P(42,36) = 25(42) + 90(36) = 4,290
P(60,0) = 25(60) + 90(0) = 1,500

Thus, the solution that optimizes the profit is producing 0 smaller lifts and 90 larger lifts.

3 0

3 years ago