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Related Questions
do the opposite angles in a parallelogram have the same measure please explain why
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Opposite angles in a parallelogram are equal. This is due to the property of parallel lines being crossed by a transversal line, which causes the corresponding angles to be equal.
Explanation:Yes, the opposite angles in a parallelogram always have the same measure. This happens because when lines are parallel and they get crossed by another line (called the transversal), the corresponding angles in the different parallel lines are equal.
In a parallelogram, the opposite sides are parallel. If you draw a diagonal inside the parallelogram, it acts as a transversal line crossing the parallel lines. Therefore, the angles it forms at the corners are equal to each other, meaning the opposite angles have the same measure.
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The vertices J(2,6), K(7,8), L(9,3), and M(?, ?) determine a square. Show your work to find the coordinates of M. Use complete sentences and proper grammar to give a justification why JKLM is a square.
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Mathematically, JKLM is a square because all of its four sides are equal in length. We also can justify by measuring the interior angles. A further method of justifying that JKLM is a square is by showing the lines connecting at each vertex are perpendicular.
The pair of numbers whose difference is 18 and whose product is as small as possible is? The minimum product is?
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So the product will be x(x-18) = x^2 - 18x = (x-9)^2 - 81
Since the minimum of (x-9)^2 is 0, then the minimum of the product is -81
Two equations are given below: m + 5n = 20 m = n − 4 What is the solution to the set of equations in the form (m, n)? (3, 7) (0, 4) (5, 1) (2, 6)
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m+5n=20
m=n-4
sub n-4 for m in other equation
n-4+5n=20
6n-4=20
add 4 both sides
6n=24
divide by 6 both sides
n=4
sub back
m=n-4
m=4-4
m=0
(m,n)
(0,4)
Answer:
(m,n) = (0,4)
Step-by-step explanation:
We have
m + 5n = 20 -----------------------eqn 1
m = n - 4 ----------------------------eqn 2
eqn 1 - eqn 2
m + 5n - m = 20 - ( n- 4 )
6n = 24
n = 4
Substituting in eqn 2
m = 4 - 4
m = 0
So the correct set is (0,4)
(m,n) = (0,4)
Rectangle ABCD is similar to rectangle JKLM. AB = 10, BC = 8, CD = 10, DA = 8, and JK = 15. The area of rectangle JKLM is ____u2
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Debbie needs to fill juice cups for her little brother's birthday party. There are 20 juice cups and each juice cup holds 10 fluid ounces. The juice comes in 1-gallon bottles. How many 1-gallon bottles of juice will Debbie need to purchase?
(1 quart = 32 fluid ounces, 1 gallon = 4 quarts)
1 bottle
2 bottles
3 bottles
4 bottles
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1 gallon = 4 qts
1 qt = 32 fl. ounces
so 32 x 4 = 128 fl. ounce in a gallon
20 cups at 10 ounces each = 20*10 = 200 ounces needed
200/128 = 1.5625 gallons needed
she will need to buy 2 bottles
Given that a is the longest side length in the triangle, which of the following inequalities would make the triangle above an obtuse triangle?
A. a2+b2< c2 B. a2+b2>c2 C. b2+c2< a2 D. b2+c2>c2
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If the sum of the squares of the shorter sides is smaller compared to the square of the hypotenuse then, the triangle is OBTUSE. The answer therefore to this item is letter A.
Answer:
it is abtuse triangle
Step-by-step explanation:
no step
Simplify 5 • 2 • (–4) + 6 ÷ 2
Answers
paranthesis
exponents/roots
multiplication/division
addition/subtraction
so your question: 5 x 2 x (-4) + 6 divided by 2
5 x 2 x (-4)= -40
-40 / 2 = -20
-20 + 6 = -14
your answer is -14
hope this helps :D
True or false. A trapezoid has congruent diagonals and one set of opposite sides that have equal slopes.
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A trapezoid has congruent diagonals and one set of opposite sides that have equal slopes.
Explanation:A trapezoid is a quadrilateral with one pair of parallel sides. It has two diagonals that connect opposite vertices. The diagonals of a trapezoid are not necessarily congruent because they have different lengths. However, one set of opposite sides of a trapezoid will always have equal slopes.
To see this, we can consider the equation of a line and the formula for slope. Let's say we have a trapezoid with vertices A, B, C, and D. The equation of the line passing through points A and B can be written as y = mx + b, where m is the slope of the line and b is the y-intercept. Similarly, the equation of the line passing through points C and D can be written as y = nx + c. Since the opposite sides of the trapezoid are parallel, the slopes m and n will be equal.
Therefore, the statement is true. A trapezoid has congruent diagonals and one set of opposite sides that have equal slopes.
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Verbal reasoning : Choose the most appropriate option to complete the statement . 'AC is to VJ as RO is to (??)'
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Write an expression that is equivalent to
(23.6-7.1a-4.2b)-(5.8b-9a)
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(23.6 - 9a - 5.8b)
Explanation:Steps to simplify the expression:
Combine constant terms:
(23.6 - 7.1a - 4.2b) - (5.8b - 9a) = 23.6 - 7.1a - 4.2b - 5.8b + 9a
Group terms by variable:
(23.6 - 4.2b - 5.8b) + (-7.1a + 9a)
Combine like terms:
19.6 - 10b + (-7.1a + 9a) = 19.6 - 10b + 2a
Rewrite the expression with the simplified terms:
(19.6 - 10b) + 2a
Therefore, the equivalent expression is (19.6 - 10b) + 2a.
A lotion is made from an oil blend costing $1.50 per ounce and glycerin costing $1.00 per ounce. Four ounces of lotion costs $5.50.
A=(4-g) 1.5
B=(4-g) + 1.5
C= 4g-g(1.5)
D=(4-g)g
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Answer:
A=(4-g) 1.5
Step-by-step explanation:
Let g be the amount of glycerin in the lotion. We know that there are 4 ounces total of lotion; this means that there are 4-g ounces of the oil blend.
The oil blend costs $1.50 per ounce; this gives us the expression (4-g)1.5 for the oil blend.
Answer:
the awnser is A
Step-by-step explanation:
I did the test
Which statement best describes the expression 3 + 2 ÷ y?
The quotient of y and the sum of 3 and 2
The quotient of the sum of 3 and 2 and y
The sum of 3 and the quotient of 2 and y
The sum of 3 and the quotient of y and 2
best answer will get BRAINLIEST!!!!!
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Answer:
C. The sum of 3 and the quotient of 2 and y
Step-by-step explanation:
Given : 3 + 2 ÷ y
Solution:
First consider the BODMAS rule
solving any equation we need follow this sequence (BODMAS)
B - Bracket
O - Of
D- Division
M- Multiplication
A - Addition
S - Subtraction
So, in the given equation we first consider the division after that the addition
i.e. division of 2 by y (quotient of 2 and y) and then addition of 3 in the result of division of 2 by y
So, we can say it as The sum of 3 and the quotient of 2 and y
Answer:
The answer is just c
Step-by-step explanation:
Find the area of a rectangle
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Suppose you have a normally distributed set of data pertaining to a standardized test. The mean
score is 500 and the standard deviation is 100. What is the z-score of 800 point score?
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can someone please help me?
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Nine cards numbered 1-9 are flipped upside down. What is the probability of flipping up an even number?
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Jeremy drew a polygon with four right angles and four sides with the same length. Name all the polygons that he could have drawn.
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Jeremy drew a square, which is a regular polygon with four equal sides and four right angles.
If Jeremy drew a polygon with four right angles and four sides of the same length, he could have drawn a square. This is because a square is the only regular polygon with four sides (also known as a quadrilateral) that has all sides equal in length and all angles equal at 90 degrees. In a quadrilateral, the sum of all interior angles is 360 degrees, which satisfies the criteria of having four right angles, as each right angle measures 90 degrees. The shape Jeremy drew cannot be any other polygon since the definition of a square is specific to having all sides equal and all angles equal, which uniquely identifies it among four-sided polygons.
Solve the compound inequality. 7x > -35 and -5x > -50
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x > -35/7
x > -5
-5x > -50
x < -50/-5
x < 10
-5 < x < 10 <==
The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
−1 -12
0 -6
1 0
g(x)
g(x) = 2x + 6
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
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if f(x) is a line, you can find this expression:
y = m * x + b
Substitute two values to find, m and b. m is the slope, b the intercept, OK?
(0,-6) ---> -6 = b, so b= -6.
(1, 0) ---> 0 = m + b = m - 6, m = 6.
f(x) = 6x-6.
Check it:
(-1,-12)? y = 6*(-1)-6 = -12, yeah!!!
Now, g(x) is written as slope-intercept already:
slope = 2 (the coefficient of x)
intercept = 6 (the term without x)
slope of f(x) =6, slope of g(x) = 2
PART B)
6>-6, so the intercept of g(x) is greater.
Hope you learned sth! :)
Describe how the sizes of the 1/2 strip and the 1/6 strip compare. Then descrube how the denominators of the fractions 1/2 and 1/6 are related
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In order to have a clear understanding of how to write 500 words essay, you need to have at least the foggiest idea of what 500-word scholarship essay actually is! Let’s have a closer look at this type of the academic assignment.
The 1/2 strip is larger than the 1/6 strip because dividing something into fewer parts results in larger parts. The relationship between the denominators 2 and 6 is based on the number of equal parts into which a whole is divided, with 6 being a multiple of 2, indicating smaller parts for 1/6.
To compare the sizes of the 1/2 strip and the 1/6 strip, we should visualize the strips as portions of the same whole. Imagine a bar divided into 2 equal parts; one of those parts is the 1/2 strip. Now imagine the same bar divided into 6 equal parts; one of those parts is the 1/6 strip. It's evident that the 1/2 strip is larger than the 1/6 strip because when you divide something into fewer parts, each part is larger.
The denominators of the fractions 1/2 and 1/6 are related through the concept of divisibility and the number of equal parts into which a whole is divided. The denominator 2 in the fraction 1/2 tells us that the whole is divided into 2 equal parts, while the denominator 6 in the fraction 1/6 indicates that the whole is divided into 6 equal parts. Because 6 is a multiple of 2, each part of the 1/6 strip is smaller than each part of the 1/2 strip.
WILLL GIVEEEEE BRAINLIEST PLZ HELPPPPPPPP!!!!!!!!
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29 out of 74 do not like rap
29/74 = 0.39
31 out of 74 do not like hip hop
31/74 = 0.42
0.39+0.42 = 0.81
answer is 0.81
How do you subtract: a negative number minus a positive number?
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When subtracting a positive number from a negative, you're doing the same as adding two positive numbers, but flipping the value.
For example;
-2 - 2 = -4
2 + 2 = 4
If this doesn't help you, please message me or comment below and I will do my best to explain to you how it works. Thanks!
Find the area of a triangle with a base of 10 meters and a height of 6 meters
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A = (1/2) * 10 * 6 = 30 m²
given
base=10
height=6
area=1/2 times 10 times 6
area=5 times 6
area=30 squaer meters
A paint store has 35 gallons of paint in storage, 2/5 of which are for outdoor use. The others are for indoor use. If each gallon costs$22, what is the total cost of the indoor paint in storage?
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what is a function?
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it is an expression involving one or more variables
examples:
2x +5
x^2
a+b
how many miles can you get on one tank of gas if your tank holds 18 gallons and you get 22 miles per gallon
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if x + y = 8 find the value of y when x = -1
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x + y = 8 becomes -1 + y = 8
Solve for y.
-1 + y = 8
y = 9 <-- Add 1 to each side
So, y is equal to 9.
Alejandro has two marbles. One weighs 0.56 grams, and the other weighs 0.825 grams. How much more does the second marble weigh?
0.265 grams
0.355 grams
0.769 grams
1.385 grams
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0.265 grams
A carton of juice shaped like a rectangular prism measures approximately 8 inches high and 4 inches along each edge. A cylindrical glass that is 3 inches in diameter is filled to a height of 3.5 inches. Approximately how many glasses of this juice can be poured from a full container? Use π π = 3.14.
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V = length × width × height
The volume of the carton juice is
V = 4 × 4 × 8 = 128 in³
Volume of a cylinder is
V = Area of circular base × height = [tex] \pi r^{2} [/tex]×h, where [tex]r[/tex] is the radius of the circular base
The volume of the cylindrical glass is
V = (1.5)² × 3.14 × 3.5 = 24.7275 in³
Hence, the number of glasses that can be filled with the juice from the carton is:
128 ÷ 24.7275 = 5.18 ≈ 5 glasses
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