Find the value of x. Then find the measure of each labeled angle
Answer:
x=107
[tex]x-34=107-34=73[/tex]
Step-by-step explanation:
Sum of angles in a quadrilateral is 360 degree
right angle is 90 degree
[tex]90 +90+x+x-34= 360[/tex]
[tex]180+x+x-34=360[/tex]
subtract 180 from both sides
[tex]x+x-34=180[/tex]
[tex]2x-34=180[/tex]
add 34 on both sides
[tex]2x=214[/tex]
divide by 2 on both sides
x=107
[tex]x-34=107-34=73[/tex]
Today a car is valued at $42000. The value is expected to decrease at a rate of 8% each year. What is the value of the car expected to be 6 years from now?
In the chemistry lab an experiment requires 500ml of one ingredient to be mixed with 1,000 ml of another. How many liters is the solution
After mixing 500 ml with 1,000 ml, the total volume of the solution is 1.5 liters.
Explanation:To find out how many liters the solution is after mixing 500 ml with 1,000 ml, you simply add the volumes together and convert to liters. First, you have a total volume of 500 ml + 1,000 ml = 1,500 ml. Now, notice that you are going from a smaller unit (milliliters) to a larger unit (liters). Since there are 1,000 milliliters in a liter, you will need to divide by 1,000:
1,500 ml ÷ 1,000 = 1.5 liters.
Therefore, the solution will have a total volume of 1.5 liters.
Chuy wants to buy a new television. The television costs $1,350. Chuy decides to save the same amount of money each week, for 27 weeks. After 8 weeks Chuy saved $440. Which of the following conclusions can you make about Chuy's plan?
a. Chuy has a good plan and will have exactly $1,350 saved at the end of 27 weeks.
b. Chuy must increase the amount he saves each week in order to meet his goal at the end of 27 weeks.
c. Chuy will save more than he needs and will meet his goal in less than 27 weeks.
d. There is not enough information given to make a conclusion about Chuy's plan.
Answer:
Option C. is correct.
Step-by-step explanation:
Chuy needs $1,350 to buy a new television.
he decides to save the same amount of money each week for 27 weeks.
In 8 weeks Chuy saved = $440
In 1 week Chuy saved $440 ÷ 8 = $43.00
Therfore, in 27 weeks Chuy can save = 43.00 × 27 = $1485.00
Chuy can save $1485.00 in 27 weeks that is more than he needs.
So Option c. would be correct Chuy will save more than he needs and will meet his goal in less than 27 weeks.
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Two–thirds of the children in the fourth–grade class are girls. if there are 18 girls, what is the total number of children in the class?
Which statements prove that a quadrilateral is a parallelogram?
Select each correct answer.
Quadrilateral DEFG has one diagonal that bisects the other diagonal.
Quadrilateral DEFG has only one set of opposite angles that are congruent.
Quadrilateral DEFG has two sets of consecutive angles that are supplementary.
Quadrilateral DEFG has one set of opposite sides that are both congruent and parallel.
The statement "Quadrilateral DEFG has one set of opposite sides that are both congruent and parallel" proves that a quadrilateral is a parallelogram.
A quadrilateral has 4 sides and the sum of interior angles are [tex]360^\circ[/tex] where as the parallelogram is a quadrilateral whose oppposite sides are parallel to each other.
The following statements are:
A). The statement "Quadrilateral DEFG has one diagonal that bisects the other diagonal" is incorrect because both diagonals have to bisect each other.
B). The statement "Quadrilateral DEFG has only one set of opposite angles that are congruent" is incorrect because a quadrilateral is a parallelogram when it has two sets of opposite angles that are congruent.
C). The statement "Quadrilateral DEFG has two sets of consecutive angles that are supplementary" is incorrect although it is a property of parallelogram.
D). The statement "Quadrilateral DEFG has one set of opposite sides that are both congruent and parallel" is correct this statement proves that a quadrilateral is a parallelogram.
For more information, refer the link given below:
https://brainly.com/question/22642276
Mr. sharrone can paper a room in 3 hours. his assistant needs 5 hours. if mr. sharrone works 1 hour and then his assistant completes the job alone, how long will it take the assistant to finish the job?
Suppose you have two credit cards. The first has a balance of $415 and a credit limit of $1,000. The second has a balance of $215 and a credit limit of $750. What is your overall credit utilization?
Determine the vertex point, domain, and range of the following function
y = -|x| + 2
On a separate sheet of paper, graph 3x+6y=18 In the box below, enter the y value when x = 2.
How many 5 pound bags of apples can be made from 400 apples each weighing 1/4 pound?
Answer:
You can make 20 - 5 pound bags
Step-by-step explanation:
You first find the number of total pounds that the 400 applying ratios :
400 apples * ¼ pound / 1 apple = 100 pounds by simplifying units
Then we find the number of bags as:
100 pounds* (1 bag/5 pounds ) = 20 bags by simplifying units
So the final answer is 20 bags for this problems by using ratios
Find the dimensions of a right circular cylindrical can with both a top and a bottom that holds 5832 cubic cm and is constructed with the least amount of material possible.
The dimensions of a right circular cylindrical can that holds 5832 cubic cm and uses the least amount of material are a radius of approximately 10.614 cm and a height of approximately 16.526 cm.
Explanation:The question asks for the dimensions of a right circular cylindrical can that holds 5832 cubic cm of liquid and is designed to use the least amount of material. This scenario fits into the realm of mathematical optimization. Here, we’re being asked to identify dimensions that minimize the surface area of the cylinder while holding a fixed volume. This kind of problem is typically addressed using calculus.
The volume V of a cylinder is given by the formula V = πr²h where r is the cylinder radius and h is the cylinder height. The surface area A of a cylinder closed at both ends is given by A = 2πrh + 2πr².
From the volume equation, we can express h in terms of V and r, h = V/πr². Substituting this into the surface area equation yields: A = 2πr(V/πr²) + 2πr² = 2V/r + 2πr².
To find the radius that minimizes the surface area, we would set the derivative of the surface area with respect to r equal to zero and solve for r. After these calculations, we find that r = (V/(2π))^(1/3). For V = 5832 cubic cm, this yields r ≈ 10.614 cm.
Substitute r ≈ 10.614 cm back into the equation h = V/πr² to find h ≈ 16.526 cm. So, the dimensions of the can that minimizes the material used are radius 10.614 cm and height 16.526 cm.
Learn more about cylindrical can dimensions here:https://brainly.com/question/35470566
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To find the dimensions of the cylindrical can that holds a specific volume and is made from the least material, utilize the volume and surface area formulas for a cylinder. Using calculus, find the radius that minimizes the surface area, then find the corresponding height.
Explanation:This problem is a classic calculus optimization problem. The volume of the cylindrical can is given by the formula V = πr²h, where r is the radius and h is the height of the cylinder. To minimize the amount of material used in constructing the can, we need to minimize the surface area, given by the formula [tex]A = 2\pi rh + 2\pi r^2[/tex] (which includes both top and bottom of the can).
From the volume formula, we can express h as h = V/πr² = 5832/πr². Substituting this value into the surface area equation, we get A = [tex]2\pi r(5832/\pi r^2) + 2\pi r^2 = 11664/r + 2\pi r^2.[/tex] Differentiating this equation with respect to r and setting the derivative equal to zero, will provide the radius that minimizes the material used. The height can be obtained by substituting this radius value back into the equation h = 5832/πr².
Learn more about Optimization here:https://brainly.com/question/37742146
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If there is 20 students and 20 chairs how many way for a student to sit
Answer:
40. Just add 20+20 and you will get your answer.
write 0.4*0.4*0.4*0.4*0.4 using exponentail nation.
I need answers to all of these. Please help!! I suck at math..
1) (-4) + (-9) =
2) 5 + (-12) =
3) -6 + 5 =
4) -7 + 7 =
5) Which symbol correctly completes the statement?
-7 + 2 ___ 3 + (-9)
<
>
=
6) Which symbol correctly completes the statement?
4 + (-8) ___ 6 + (-8) + (-6)
<
>
=
7) Your checking account balance is $50. You spend $11 and then deposit $27.
What is your current balance?
$12
$44
$66
$88
8) You currently have a balance of $34 in your checking account. You then write a check for $76 dollars to pay for groceries. Finally, you deposit a check for $30.
What is your new balance?
-$72
-$12
$12
$72
((worth THIRTY points and THE BRAINLIEST answer!!))
What can be used as a reason in a two-column proof?
Select each correct answer.
a true premise
a conjecture
a definition
a theorem
Answer :- A definition and a theorem can be used as a reason in a two-column proof.
Explanation:-
A two column proof is assembled into statement and reason columns, where each statement should have verified reason. The reason in a two column proof are usually given information, vocabulary definitions, postulates and previously proved theorems.
Therefore, from the given options a definition and a theorem can be used as a reason in a two-column proof.
A definition and a theorem can be used as a reason in a two-column proof.
Further explanation:
Given:
The options are as follows,
(a). A true premise
(b). A conjecture
(c). A definition
(d). A theorem
Explanation:
True premise is an assumption about something is true. It is not proved.
Conjecture is a statement that has not been proved.
Definition is a statement which tells us the meaning of the word.
Theorem is a statement that has been proved.
A definition and a theorem can be used as a reason in a two-column proof.
Conjecture and true premise cannot be used as a reason in a two-column proof as they are not proved.
Option (a) is not correct as a true premise cannot be used as reason in two-column proof.
Option (b) is not correct as a conjecture cannot be used as reason in two-column proof.
Option (c) is correct can be used as a reason in a two-column proof.
Option (d) is correct can be used as a reason in a two-column proof.
Learn more:
1. Learn more about inverse of the function https://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function https://brainly.com/question/3412497
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Simple interest
Keywords: two-column proof, a true premise, a conjecture, a definition, a theorem, correct answer, reason.
What is x percent of y percent of z, in terms of x, y, and z?
Are 2/4 and 20/36 proportional?
And y?
Enzo says that he can draw an enlarged rectangle that is 16 centimeters by 13 centimeters. Which explains whether Enzo is correct?
help picture attached !!
What would be equation would be perpendicular to p(1,3), y = 2x - 1?
The lengths of the base and legs of an isosceles triangle are in the ratio of 3;2 the perimeter of triangles is 105 find the length of the base
What is the value of the function at x=−2?
y=−4
y = 0
y = 2
y = 3
Answer:
Option D.
Step-by-step explanation:
If the graph of a function f(x) passes through the point (a,b), then the value of the function f(x) is b at x=a.
[tex]f(a)=b[/tex]
[tex]y=b[/tex]
The graph of a function is given.
We need to find the value of function at x=-2.
From the given graph it is clear that the graph is passes through the point (-2,3).
It means the value of function is 3 at x=-2.
[tex]y=3[/tex]
Therefore, the correct option is D.
Two classrooms are sharing seven packages of unit cubes if the packages are split evenly how many packages with each classroom receive
16x=1.6 what is x? please help
There 20 colored pencils in a box:4 red, 5 green, 10blue , and 1 black. You pick a pencil without looking. What is the sum of the probability of picking a red pencil and the probability of picking a black pencil
What is the slope of the line segment XY?
2
1/2
-1/2
-2
the line has points (-1,3) and (1,-1)
slope = change in y over change in x
change in y = 3- -1 = 3+1 =4
change in x = -1 - 1 = -2
slope = 4/-2 = - 4/2 = -2
AOB and BOC are _____.
complementary angles
supplementary angles
right angles
vertical angles
A box has dimensions of 19 inches long, 1.7 feet wide, and 6 inches high. What is the volume of the box? The formula for the volume is V = l ⋅ w ⋅ h.
a.193.8 cubic inches (in^3)
b.2325.6 cubic inches (in^3)
c.1.35 cubic inches (in^3)
d.16.15 cubic inches (in^3)