Answer: x =420 s = 21
Step-by-step explanation:
Proving the Parallelogram Side Theorem
Given: ABCD is a parallelogram.
Prove: AB=CD and BC=DA
Angles Segments Triangles Statements Reasons ZBAC ZBCA DAC ZDCA B с Statements Reasons A Assemble the proof by dragging tiles to the Statements and Reasons columns.
Answer:
A parallelogram is a quadrilateral that has two parallel and equal pairs of opposite sides.
From the given diagram,
Given: AD = BC and AD || BC, then:
i. AB = DC (both pairs of opposite sides of a parallelogram are congruent)
ii. <ADC = < BCD and < DAB = < CBA
thus, AD || BC and AB || DC (both pairs of opposite sides of a parallelogram are parallel)
iii. < BAC = < DCA (alternate angle property)
iv. Join BD, line AC and BC are the diagonals of the quadrilateral which bisect each other. The two diagonals are at a right angle to each other.
v. <ADC + < BCD + < DAB + < CBA = (sum of angles in a quadrilateral equals 4 right angles)
Therefore, ABCD is a parallelogram.
Step-by-step explanation:
The solution is, ABCD is a parallelogram.
What is parallelogram?A parallelogram is a quadrilateral that has two parallel and equal pairs of opposite sides.
here, we have,
From the given diagram,
Given: AD = BC and AD || BC, then:
i. AB = DC (both pairs of opposite sides of a parallelogram are congruent)
ii. <ADC = < BCD and < DAB = < CBA
thus, AD || BC and AB || DC (both pairs of opposite sides of a parallelogram are parallel)
iii. < BAC = < DCA (alternate angle property)
iv. Join BD, line AC and BC are the diagonals of the quadrilateral which bisect each other.
The two diagonals are at a right angle to each other.
v. <ADC + < BCD + < DAB + < CBA = (sum of angles in a quadrilateral equals 4 right angles)
Therefore, ABCD is a parallelogram.
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simplify (3a²b²)²+(ab)²
Answer:
[tex]a^{2} b^{2}[/tex] (9[tex]a^{2} b^{2}[/tex] + 1)
Step-by-step explanation:
simplify (3a²b²)²+(ab)²; for the first term, square the 3 and multiply the exponents by 2, also multiply the exponents by 2 in the second term
[tex]9a^{4} b^{4} + a^{2} b^{2}[/tex] ; factor out [tex]a^{2} b^{2}[/tex]
[tex]a^{2} b^{2}[/tex] (9[tex]a^{2} b^{2}[/tex] + 1)
Part B
Joe recevied a large jug of antifreeze coolant that is labeled as containing 120
fluid Ounces. He needs to transfer the coolant into pint-sized bottles using the
conversion chart shown below. How many pint-sized bottles will he
need? Explain how you got your answer.
1 gallon (gal) = 4 quarts (at)
1 quart = 2 pints (pt)
1 pint = 2 cups (c)
1 cup = 8 fluid Ounces (fl oz.)
In the box below, write the number of pint-sized bottles he will need and
explain how you got your answer.
Y
Answer:
7.5,
Step-by-step explanation:
8 x 15 = 120
So 15 cups
And then since 2 cups equal a pint
15 divided by 2
Which is 7.5 pints
a) Match the graph shown with one of the following equations.
b) Which one of the following points lies on the line 3y = 2x - 1?
The graph have a negative slope and a positive y intercept. The graph is given by y = -x + 2. The point (2, 1) lies on th line 3y = 2x - 1
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The graph have a negative slope and a positive y intercept. The graph is given by y = -x + 2
Given the equation:
3y = 2x - 1
When x = 2:
3y = 2(2) - 1
y = 1
The point (2, 1) lies on th line 3y = 2x - 1
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Select the expression that has a value of 6.
1. 2,400 divide by 40
2. 2,400 divide by 4
3. 240 divide by 40
4. 240 divide by 4
I'm stuck on this one. I'm sorry of you know everything but there are other people who can't comprehend some problems without being their to actually see and experience it with a teacher. Just help me with this one -
Answer:
Expand the brackets, and simplify.
(4t - 8/5)-(3-4/3t) = (4t +4/3t) + ( -8/5 - 3) = 5 1/3t - 23/5 = 16/3t - 23/5
5(2t + 1) + (-7t + 28) = 10t + 5 - 7t + 28 = 3t + 33
(-9/2t + 3) + (7/4t + 33) = (-9/2t + 7/4t) + (3 + 33) = -11/4t + 36
3(3t - 4) - (2t + 10) = 9t - 12 - 2t - 10 = 7t - 22
Sebastian drove for 2.2 hours at an average rate of 43.5 miles per hour. He calculates that he drove 95.7 miles. He knows the answer should be near 80, because 40 times 2 is 80. Which best explains Sebastian’s actual solution?
The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.
The actual product is unreasonable. It should be near 80 but less than 80 because both factors were rounded down.
The actual product is reasonable because the estimate and actual answers both have two places to the left of the decimal.
The actual product is unreasonable because the estimate has zero places to the right of the decimal and the actual product has one decimal place to the right of the decimal.
Answer:
The actual product is reasonable because it is near 80 but greater than 80. Both factors were rounded down, making the estimate lower than the actual product.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
An airplane flies across the country. Its distance from Portland, as a function of time, is modeled by y. 500x.
Which statement best describes the function?
A. The function is nonlinear
B. The function is linear at some points and nonlinear at other points.
c. The function is linear
D. Not enough information is given to decide
Answer:
I would say b
Step-by-step explanation:
I choose b because the question is linear and also non linear it only told us the distance which is 500x and no time but is saying as a function of time
C. The function is linear.
The given function is y = 500x, where x represents the time and y represents the distance from Portland. In this function, y is directly proportional to x, meaning that for every unit increase in x, y increases by a constant amount of 500.
Since the function is of the form y = mx, where m (in this case, 500) is the constant of proportionality, the function is linear.
Therefore, the correct answer is:
C. The function is linear.
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Directions: Select the appropriate comparing symbol from the dropdown list below to evaluate each pair of numbers.
Problem .998 _____ .9899 *
Answer:
.998 is greater than .9899
Find the y-intercept of the graph of the linear equation. 3/4 x + y = 10
Answer:
10
Step-by-step explanation:
slope intercept form is y=mx+b
in this case b is 10
y=-3/4x+10
SUBSTITUTING INGREDIENTS
1. Your soup recipe calls for tdry mustard What can you substitute?
2. Your chocolate cake recipe calls for 2 ozunsweetened baking chocolate substitute ?What can you
3. Your muffin recipe calls for 2 c. self-rising flour. What can you substitute 3. Your meat sauce recipe calls for 2 T. fresh, chopped basil. What can you substitute?
4. Your cake recipe calls for 2 c. cake flour . What can you substitute ?
Answer:
1. 1 tablespoon Dijon mustard
2. Combine six Tablespoons of cocoa powder and two Tablespoon of vegetable oil, butter or shortening
3. 2 cups of all-purpose flour, 3 teaspoons baking powder, and ½ teaspoon salt
3. One teaspoon of dried basil leaves
4. Combine 1 3/4 cups all-purpose flour with 1/4 cup cornstarch
Step-by-step explanation:
CAn I have brainliest? TYSMMMMMMMMMM
Samantha buys $128 worth of goods at a 25% discount. If the sales tax rate is 6.4%, what is the total amount she will pay?
Answer:
To do this, you need to find the amount of discount of the original price. To find a percent of a number you first convert the percent to a decimal (i.e. 25% = 0.25). Then you multiply this decimal by the original price. Therefore, the sale price is $17.21. If example.
Step-by-step explanation:
Answer:
102.144
Step-by-step explanation:
128 times 0.25 = 32
128 - 32 = 96
96 times 1.064 = 102.144
She will need to pay 102.144
help please!!!!!!!!
What is the correct set.
470
с
b
O a=47, b=60, c=60
O a=180,b=47. c=180
O a=47, b=133, c=47
O a=133, b=47. c=133
The image of the point (4. 9) under a translation is (9. 13). Find the coordinates
of the image of the point ( 5. 2) ander the same translation,
Answer:
The coordinates of the image are (10,6)
Step-by-step explanation:
Translation
A point located at (x,y), translated by (a,b) maps to the point (x+a,y+b).
If we know the location of the point (x,y) and the location of its image (x',y'), we can know the values of (a,b) by subtracting:
(a,b) = (x',y') - (x,y)
We know the coordinates of the point (4,9) and the coordinates of its image (9,13). Calculate the translation:
(a,b) = (9,13) - (4,9) = (5,4)
If the point (5,2) is translated under the same conditions, then it will map to the point (5,2) + (5,4) = (10,6).
The coordinates of the image are (10,6)
Geoffrey friend baked a cream pie yesterday. Geoffrey ate 6.3 slices yesterday and 1.3 slices today. How many slices has Geoffrey eaten so far?
Answer:
7.6
Step-by-step explanation:
1.3 + 6.3 = 7.6
Help me answer number 15 please
Write as a product:
a2+b2–2ab –25
Answer: -a2 - 2ab - b2 + 25 =
-1 • (a2 + 2ab + b2 - 25)
Final result :
-a2 - 2ab - b2 + 25
Step-by-step explanation:
if you multiply 5 and then blank and it equals 565 what the missing number?
the 6 term of a G.P is -2\27 and it's first term is 18.what is the common ratio
Answer:
r = - [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The n th term of a GP is
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 18 and a₆ = - [tex]\frac{2}{27}[/tex] , then
18 [tex]r^{5}[/tex] = - [tex]\frac{2}{27}[/tex] ( divide both sides by 18 )
[tex]r^{5}[/tex] = - [tex]\frac{1}{243}[/tex] ( take the fifth root of both sides )
r = [tex]\sqrt[5]{-\frac{1}{243} }[/tex] = - [tex]\frac{1}{3}[/tex]
Pensé un número, le saque la mitad y luego le reste 15,con lo que obtuve 125. ¿Cuál es el número que pensé?
Find the total surface area of this cuboid.
5 cm
2.3 cm
7.5 cm
If anyone gets it right pls double check how you did it
86.25
Step-by-step explanation:
5×2.3×7.5= your answer
A news service conducted a survey of 1026 adults ages 18 years or older in a certain country, August 31minus−September 2, 2015. The respondents were asked, "Of every tax dollar that goes to the federal government, how many cents of each dollar would you say are wasted?" Of the 1026 individuals surveyed, 36% indicated that 51 cents or more is wasted. The news service reported that 3636% of all adults in the country 18 years or older believe the federal government wastes at least 51 cents of each dollar spent, with a margin of error of 55% and a 99% level of confidence. Complete parts (a) through (e) below. What is the researchobjective?
A. To determine the number of adults in the country paying their taxes to the federal government
B. To determine the percent of adults in the country who believe the federal government wastes 51 cents or more of every dollar
C. To determine the number of adults in the country
D. To determine the number of adults in the country who believe the federal government wastes 51 cents or more of every dollar
Answer:
B. To determine the percent of adults in the country who believe the federal government wastes 51 cents or more of every dollar.
Step-by-step explanation:
Given that:
sample size = 1026
sample proportion = 0.36
Margin of error = 55% = 0.55
Confidence interval level = 99%
The purpose of this question is to determine the research objective:
The research objectives indicate the intention of the study, the objectives,\ or the main idea. This main idea arises from a need (the research problem) and refined into specific questions (i.e. the research questions). From, the given information, the research objective is to determine the percent of adults in the country who believe the federal government wastes 51 cents or more of every dollar.
Match the graph shown with the following equation
Answer a and b please
Answer:
a) D b)B
Step-by-step explanation:
a) the graph is of negative slope as it slants downwards hence slop/gradient is negative. y intercept is positive so only option d is right
b) sub each option point into 3y = 2x - 1 if they equate to be the same, it is correct.
3(2) = 2(6) - 1
6 = 11 (not equal)
3(1) = 2(2) - 1
3 = 3 (equal) this is the answer
of course you can sub in the rest to confirm but I'm lazy so yeah I'll stop here
Topic: Linear Graphs and its equations
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NEED HELP NOW. WILL GIVE BRAINLIEST
Answer: y = -2x² + 920x - 84168
suppose: the equation of the parabola is y = ax² + bx + c
because the parabola passes through (126,0); (134,3200); (334,0)
=> we have the equations:
126².a + 126b + c = 0
134².a + 134b + c = 3200
334². a + 334b + c = 0
⇒ a = -2
b = 920
c = -84168
=> the equation of the parabola is y = -2x² + 920x - 84168
Step-by-step explanation:
Answer:
yea listen to the other person
Step-by-step explanation:
jack needs 22 pirates for every 2 ships he manages
does 2, 2, √4 make a right triangle
Answer:
No it can'tright angle triangle
Step-by-step explanation:
2, 2, √4 can't make a right triangle
By Pythagoras theorem the square of two sides equal to the third side of the triangle.
2^2+2^2=(√4)^2
4+4=4
8 is not equal to 4 so it not make right angle triangle.
What is the absolute value of −3.582?
Answer:
Its 3.582
Step-by-step explanation:
The absolute value is the numbers distance from zero, in other words just the positive version of it :)
(brainliest?)
In a 650g bag of mixed dried fruits, the ratio of mangos to apples to pears is 12:8:6 by mass. Determine the masses of the mangos, apples, and pears in the bag.
Answer:
mass of mangos = 300g
mass of apples = 200g
mass of pears = 150g
Step-by-step explanation:
lets first reduce the ratio
12:8:6
is the same as
6:4:3
this means the the denominator of our fractions will be 6 + 4 + 3 = 13
hence
mangos = 6/13 of 650g
6/13 * 650 = 300
apples = 4/13 of 650g
4/13 * 650 = 200
pears = 3/13 of 650g
3/13 * 650 = 150
Which expression is equivalent to (4n³p)²(2n²p⁴)³?
a. 128n³⁶p²⁴
b.48n¹²p¹⁴
c.128n¹²p¹⁴
d.48n³⁶p²⁴
Answer:
C: 128n¹²p¹⁴
Step-by-step explanation:
I plugged this into my TI-89 calculator and got this answer. Let me know if you need the step by step explanation and I'll be more than happy to hand-solve it for you!