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The number of cans recycled per pund of aluminum recycled in the U.S increased at a relatively constant rate from 1972 to 2002. In 1977 about 23.5 cans per pound of aluminum were recycled. In 2000, about 33.1 cans per pound of aluminum were recycled. A.Write an equation that gives the number of cans recycled per pound of aluminum recycled as a function of the number of years since 1972. B.In 2002 there were 53.8 billion aluminum cans collected for recycling. Approximately how many pounds of aluminum were collected. Explain how you found your answer.
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A set of points is graphed below.
Which point(s) would cause the set of points to no longer represent a function? (Select all that apply.)
(1,1)
(5,1)
(-2,5)
(0,2)
The answers are:
(1, 1) and (0,2)
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Which of the following ordered pairs lies on the graph of h(x) = -2x^2?
(1, -4)
(1, -2)
(1, 4)
Answer: The correct option is second,i.e., (1,-2).
Explanation:
The given equation is,
[tex]h(x)=-2x^2[/tex]
We have to find which of the ordered pair lies on the graph of h(x). A
In all ordered pairs the values of x coordinate are same that is 1 and the values of y coordinate are different.
Put x = 1 in the given function.
[tex]h(1)=-2(1)^2[/tex]
[tex]h(1)=-2(1)[/tex]
[tex]h(1)=-2[/tex]
The value of function is -2 at x = 1, so the ordered pair (1,-2) lies on the graph of the function h(x).
Therefore, the second option is correct.
The histogram shows the scores of students on their most recent history test. How many students scored 80% or better on the test?
The number of students who scored 80% or better can be partially determined from the histogram data, with five students explicitly scored between 90 and 99%. The exact number scoring between 80 and 89% isn't provided, but those students would also be included in the count.
Explanation:To determine how many students scored 80% or better on their most recent history test, we need to focus on the histogram's data for the ranges of 80 to less than 90 and 90 to less than 100. According to the information provided, five students scored between 90 and 99% (A range). However, the exact number of students who scored between 80 and 89% is not directly stated. Nevertheless, the data suggest that most students scored within the 70-89% range, with some scoring in the 60-69% range and a few in the 90-100% range.
Given that five students received an A (90-99%), and assuming the distribution includes students scoring between 80-89%, we would also count those students. Without the specific number for the 80-89% range, it's crucial to analyze the provided data to estimate or directly state numbers within this context. Thus, our primary focus for students who scored 80% or better combines those explicitly mentioned five students with an undefined number scoring within the 80-89% range.
In a dealership vehicle storage, there are 4 sections of vehicles, 10 rows per section, and 1,200 vehicles for sale. Answer #5-6. 5. If the vehicles are divided evenly among the sections, how many vehicles are in each section? 6. If the vehicles are divided evenly among the rows in each section, how many vehicles are in each row?
what did the baseball mitt say to the ball
Rectangular pool is 7 feet wide. It is 3 times as long as it is wide. Label the diagram with dimensions of the pool.
Which postulate or theorem proves that these two triangles are congruent?
AAS Congruence Theorem
SAS Congruence Postulate
ASA Congruence Postulate
HL Congruence Theorem
From the figure,
JHGF is a parallelogram.
From the properties of parallelogram,
∠ F = ∠ H (opposite angles are equal)
FG = JH (opposite sides are equal)
Also, note that FG || JH and JG is a transversal.
Therefore,
∠ FGJ = ∠ GJH (Alternate interior angles are equal)
Now, in Δ FGJ and Δ GJH,
FG = JH
∠ F = ∠ H and
∠ FGJ = ∠ GJH
Hence, the triangles are congruent by AAS Congruence Theorem.
The triangles [tex]\triangle \text{FJG}[/tex] and [tex]\triangle \text{JHG}[/tex] are congruent by [tex]\fbox{\begin\\\ \bf {AAS congruence theorem}\\\end{minispace}}[/tex].
Further explanation:
From the given figure it is observed that there are two triangles [tex]\triangle \text{FJG}[/tex] and [tex]\triangle \text{JHG}[/tex] inside the quadrilateral.
Two triangles are said to be congruent if both the triangles have same angles and sides or it can be said that two triangles are congruent if they completely overlap with each other.
The theorems to check the congruency for the two triangles are as follows:
1) SSS congruence theorem:
As per the SSS congruence theorem if all the three sides of the first triangle are equal to all the three sides of the second triangle then the two triangles are called congruent triangles.
2) SAS congruence theorem:
As per the SAS congruence theorem if the two sides of first triangle are equal to the two sides of the second triangle and the including angles are equal then the two triangles are called congruent triangles.
3) AAS congruence rule:
As per the AAS congruence theorem if the two angles of first triangle are equal to the two angles of the second triangle and the similarly located sides are equal then the two triangles are called congruent triangles.
4) HL congruence rule:
As per the HL congruence theorem if the hypotenuse and the one other side of a triangle is equal to the hypotenuse and the corresponding other side of the second triangle then the two triangles are called congruent triangles.
From the given figure it is observed that [tex]\angle \text{GJH}[/tex] is equal to the [tex]\angle \text{JGF}[/tex], [tex]\angle \text{GHJ}[/tex] is equal to the [tex]\angle \text{GFJ}[/tex] and the side JG is the common side for [tex]\triangle \text{FJG}[/tex] and [tex]\triangle \text{JHG}[/tex].
From figure 1 (attached in the end) it is observed that the [tex]\angle \text{GJH}[/tex] and the [tex]\angle \text{JGF}[/tex] lies on same side, [tex]\angle \text{GHJ}[/tex] and the [tex]\angle \text{GFJ}[/tex] lies on the same side and the side JG is common for the [tex]\triangle \text{FJG}[/tex] and [tex]\triangle \text{JHG}[/tex].
For triangles [tex]\triangle \text{FJG}[/tex] and [tex]\triangle \text{JHG}[/tex].
[tex]\fbox{\begin\\\ \begin{aligned}\angle\text{GJH}&=\angle\text{JGF}\\ \angle\text{GHJ}&=\angle\text{GFJ}\\ \text{JG}&=\text{JG}\end{aligned}\\\end{minispace}}[/tex]
So, as per the concept of AAS congruence theorem the two triangles [tex]\triangle\text{FJG}[/tex] and [tex]\triangle\text{JHG}[/tex] are the congruent triangles.
Therefore, the theorem according to which the triangles [tex]\triangle\text{FJG}[/tex] and [tex]\triangle\text{JHG}[/tex] are congruent is [tex]\fbox{\begin\\\ \bf {AAS congruence theorem}\\\end{minispace}}[/tex].
Learn more:
1. A problem to complete the square of quadratic function https://brainly.com/question/12992613
2. A problem to determine the slope intercept form of a line https://brainly.com/question/1473992
3. Inverse function https://brainly.com/question/1632445
Answer details
Grade: Middle school
Subject: Mathematics
Chapter: Congruency
Keywords: Congruency, congruent, congruent triangles, AAS, SSS, SAS, HL, angles, sides, quadrilateral, theorem, postulate, geometry, mathematics, hypotenuse.
Rectangle A′B′C′D′ is the image of rectangle ABCD after a dilation.
What is the scale factor of the dilation?
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A seamstress needs to cut 15- inches pices of ribbons from a roll of ribbon that is 9 feet in length. What is the greatest number of 15-inches pieces the seamstress can cut from 5 of these rolls of ribbon?
Write the Expression in standard form by expanding and combining like terms 4(8m-7n) +6(3n-4m)
is number 10 right? of it isnt plz tell me thanks!
Suppose both employees work the same amount of time determine which employee earns more money
Which table shows a proportional relationship between x and y? x 1 5 8 10 y 15 75 120 150 x 4 6 8 10 y 6 8 10 12 x 3 9 10 15 y 1 3 4 5 x 2 3 5 6 y 3 4 7 9
any measurement is accurate within 0.5 of the measurement unit. For example, if your pencil to the nearest inch, your measurement could be 0.5 inch too long or 0.5 inch too short. Write an absolute value inequality that shows the maximum and minimum actual measure of a nail measured to be 4.4 centimeters to the nearest 0.1 centimeter
What is a non example for volume in math?
Doug’s family buys 7 postcards while on vacation. Each postcard costs 0.25$ including tax. How can Doug use place value patterns to check his answer.
Choose the words that make the sentence true. the number 7 is prime or composite because it has exactly or more than two factors
Answer:
The number 7 is prime becuase it has only 2 factors: 1 and itself.
Step-by-step explanation:
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-6d=-24
1. In △ABC, GE=27 in.
What is the length of BE¯¯¯¯¯?
2. In △JKL, LO=104 cm .
What is the length of NO¯¯¯¯¯¯?
Answer:
yes
Step-by-step explanation:
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Miguel traveled 340 miles during a 9 hour road trip. What was his average speed during the trip (Round to the nearest tenth)?
In four days, your family drive 5/7 of a trip. Your rate of travel is consistent throughout the trip. the total trip is 1250 miles. In how many days will you reach your destination?
Lucy purchased 2.7 lbs. of apples that were on sale for $2.50/lb. If she paid with a ten dollar bill, how much change did she receive?
2.50 * 2.7 = $6.75 total
10.00 - 6.75 = $3.25 change back
114 ÷ 19
[tex]114 \div 19 =[/tex]
Dale has a special deck of cards. Each card has a different rational number on it. The cards are 0.25,4/5,2/9,0.48, and 8/11. How many cards have a value that is greater than 1/2
Answer:
Below:
Step-by-step explanation:
There are two cards which have a value greater than 1/2. In order to calculate this, you need to look at the numbers. 0.25 equals 1/4, which is not greater than a half. 2/9 would also not be greater than one half. 1/2 is .50, so .48 would also not be greater.
What type of angles are these two angles?
48°, 132°
complementary
supplementary
parallel
none of the above
Marley Works how to beat store she has 4 and 3/4 pounds of beads she is making 1/8 lb packages how many packages will she be able to make
How do you isolate the variable ‘c’ in the equation F=(9/5)c+32 ?