Answers
BC = AD
6-x = x+2
6-2 = x+x
4 = 2x
2x = 4
x = 2
If x = 2, then
BC = 6-x = 6-2 = 4
AD = x+2 = 2+2 = 4
meaning that the top and bottom parallel sides are each 4 units long
--------------------------------------------
Similarly, the opposite angles are congruent as well
Angle A = Angle C
100-y = 12+y
100-12 = y+y
88 = 2y
2y = 88
y = 44
If y = 44, then
angle A = 100-y = 100-44 = 56
angle C = 12+y = 12+44 = 56
Related Questions
Death Valley, California has the lowest elevation in the United States. It's elevation is 282 feet below sea level. Mount McKinley Alaska has the highest elevation in the United States. It's elevation is 20,320 feet above sea level. Use integers to describe these two locations in the United States.
Answers
1) -282 .
2) 20,320 .
_______________________
Answer:
Death Valley's elevation is -282 feet and Mount McKinley Alaska elevation is 20,320 feet
Step-by-step explanation:
Consider the provided information.
Integers are the number that do not contain any decimal or fraction. They contains positive counting number, negative counting numbers and zero.
For example:{...-3,-2,-1,0,1,2,3...}
It is given that Death Valley, California has the lowest elevation in the United States. It's elevation is 282 feet below sea level.
Mount McKinley Alaska has the highest elevation in the United States. It's elevation is 20,320 feet above sea level.
We need to use integers to describe these two locations in the United States.
Both the statements are related with sea level.
Let say the sea level is at the zero, if a point is below sea level then we will indicate it by placing a negative sign in the front of the number and if it is above the sea level then we will indicate it by placing a positive sign or no sign in the front of the number.
Now consider the provided information.
Death Valley's elevation is 282 feet below sea level.
Which can be written as: -282 Feet (In integer)
Mount McKinley Alaska elevation is 20,320 feet above sea level.
Which can be written as: 20,320 Feet (In integer)
Solve for x. −4≤16−4x
x≤5
x≤−5
x≥−5
x≥5
Answers
−4≤16−4x
−4 -16 ≤−4x
-20 ≤−4x ( muliply by (-1)
4x ≥ 20
x≥20/4
x≥ 5
A builder could get 6 sheets of shreetrock for 9$ if he bought 12 sheets, how much money would we have spent
Answers
9x2= 18
A builder would spent 18$
With the given ratio of $9 for 6 sheets of sheetrock, the builder would spend $18 if he bought 12 sheets of sheetrock.
Explanation:This is a question about simple ratios in mathematics. In the given situation, the ratio of the price is $9 for 6 sheets of sheetrock. To calculate the cost of 12 sheets, we simply need to multiply the price for 6 sheets by 2.
Alternatively, you could set up a proportion to solve this problem: 9 dollars / 6 sheets = x dollars / 12 sheets. After solving for x, we get x = 18 dollars.
So, if the builder bought 12 sheets of sheetrock, he would have spent $18.
Learn more about Ratios here:https://brainly.com/question/32531170
#SPJ3
Which equation is related to this equation? b + 17 = 52
a. b = 52 + 17
b. b = 52 ∙ 17
c. b = 52 ÷ 17
d. b = 52 – 17 question resources?
Answers
b=52-17
52-17=35
find the complete factored form of the polynomial 9ab^5+6a^3b^4
Answers
[tex]GCF=3ab^4[/tex]
[tex]3ab^4( \dfrac{9ab^5}{3ab^4} + \dfrac{6a^3b^}{3ab^4} )[/tex]
[tex]3ab^4(3b+2a^2)[/tex]
1.5d + 3.25 = 1 + 2.25d ---What are the steps to find x?
Answers
1.5d +3.25 = 1 +2.25d
3.25 = 1 + .75d -1.5d on both sides
2.25 = .75d subtraction 1 on both sides
3 = d divide both sides by .75
Solve for x. 5.6x = 39.76
Answers
divide both side by 5.6
5.6x/5.6 = 39.76 / 5.6
simply
x = 7.1
Divide 39.76 by 5.6
Answer = x = 7.1
A 12 ft rope cut into two pieces so that one piece is 3 ft less than twice the length if the other piece. How long is each piece?
Answers
Prove that if you pick three socks from a from a drawer containing only black or blue socks that you must get a pair or either black or blue.
Answers
Find the eleventh term of the last term of A.P.
27,23,19,.....-65.
Answers
Term 1 = 27
Term 2 = 27 - 4 = 23
Term 3 = 23 - 4 = 19
Term 4 = 19 - 4 = 15
Term 5 = 15 - 4 = 11
Term 6 = 11 - 4 = 9
Term 7 = 9 - 4 = 5
Term 8 = 5 - 4 = 1
Term 9 = 1 - 4 = -3
Term 10 = -3 - 4 = -7
Term 11 = -7 - 4 = -11
The eleventh term = -11
A paint store sells exterior paint for $28.25 a gallon and paint rollers for $6.25 each. Write an equation in standard form for the number of gallons p of paint and rollers r that a customer could buy with $145.
Answers
You start 80 miles east of pittsburgh and drive east at a constant speed of 65 miles per hour. (assume that the road is straight and permits you to do this.) find a formula for dd, your distance from pittsburgh, as a function of tt, the number of hours of travel.
Answers
To find the distance from Pittsburgh as a function of time, the formula is d = 80 miles + (65 miles/hour × t). The distance increases by 65 miles for each hour of travel.
To find a formula for distance (d) from Pittsburgh as a function of travel time (t), we use the concept that velocity equals distance divided by time (v=d/t). Since you start 80 miles east of Pittsburgh and drive east at a constant speed of 65 miles per hour, your distance from Pittsburgh increases linearly with time. The formula will be:
d = start_distance + (velocity
× time)
d = 80 miles + (65 miles/hour × t)
So, for example, if you drive for 2 hours (t=2), the distance (d) from Pittsburgh will be:
d = 80 miles + (65 miles/hour × 2 hours) = 80 miles + 130 miles = 210 miles
Assume that 300300 births are randomly selected and 144144 of the births are girls. use subjective judgment to describe the number of girls as significantly high, significantly low, or neither significantly low nor significantly high.
Answers
Jacob can run a 6 minute mile. If he runs at that pace for 25 minutes,how many miles can Jacob run?
Answers
3 1/6.
Glad I Could Help, And Good Luck!
Fat harry got on the scale at 7:00
a.m. and weighed 295 pounds. at 7:02
a.m. he again got on the scale and weighed 200 pounds. at 7:04 he weighed 499 pounds. the measurement of harry's weight has problems with
Answers
Answer:
Harry's weight fluctuated significantly within minutes, indicating a potential issue with the scale's accuracy or calibration. He should address the problem to ensure reliable weight measurements.
Explanation:
It seems like there might be a problem with the scale's accuracy or consistency. Harry's weight fluctuated significantly within just a few minutes, which is highly unlikely under normal circumstances. Such drastic changes in weight in such a short amount of time are not physically possible, indicating a potential issue with the scale's functionality or calibration. It's possible that the scale is malfunctioning, providing inaccurate readings, or there may be external factors affecting the measurements, such as an unstable surface or improper usage of the scale. It's important for Harry to address this issue with the scale and possibly seek assistance from a professional to ensure accurate and reliable weight measurements.
help please with b. and d.
Answers
b.
(x-3)(x+2)
-3+2=-1
-3*2=-6
d.
(x-6)(x-7)
-6-7=-13
-6*-7=42
If the instantaneous velocity of an object is zero, then its acceleration must be:
zero
positive
negative
100 m/s2
not enough information
Answers
If the instantaneous velocity of an object is zero, then its acceleration must be zero.
Explanation:If the instantaneous velocity of an object is zero, then its acceleration must be zero. When the velocity is zero, it means the object is not changing its position and therefore not accelerating. So, if the instantaneous velocity is zero, the acceleration is also zero.
Final answer:
An object with an instantaneous velocity of zero could still have positive or negative acceleration, or no acceleration at all. Additional information about the forces acting on the object or its further motion is needed to determine the acceleration.
Explanation:
If the instantaneous velocity of an object is zero, this does not necessarily mean that its acceleration must also be zero. Instantaneous velocity being zero simply indicates that at that particular instant, the object is not moving. However, the object could be accelerating (either positively or negatively), which means it could start moving immediately after. For example, a ball thrown vertically upwards has an instantaneous velocity of zero at the peak of its trajectory, but the acceleration due to gravity is still acting on it, giving it a negative acceleration. Acceleration can also be positive if the object starts to move from a state of rest due to a force. Therefore, with only the information that instantaneous velocity is zero, we cannot determine the acceleration without additional context about the forces acting on the object or its subsequent motion.
The correct answer to the question is: not enough information.
Convert the mixed number to an improper fraction. enter your answer below using the slash mark ( / ) as the fraction bar 5/frac{7}{10}
Answers
Answer is 57/10
Does there exist a function that is not a relation
Answers
It's like the relationship between a rectangle and a square. A rectangle has 4 right angles and 2 sets of congruent sides while a square has 4 right angles and all sides are congruent. Which means that a rectangle is a square, but a square may not always be a rectangle.
Every function is a kind of relation by definition. A function is a relation where every input is paired with exactly one output. Therefore, there doesn't exist a function that isn't a relation.
Explanation:In mathematics, every function is a relation, but not every relation is a function. A function is a special type of relation where every input (or x-value) is paired with exactly one output (or y-value). This is often referred to as the vertical line test. If any vertical line intersect the graph of the relation at more than one point, then it is not a function. Therefore, there does not exist a function that is not a relation, because by definition, a function is always a relation.
Learn more about Function and Relation here:https://brainly.com/question/2253924
#SPJ12
Write the standard equation of the line that passes through the point (-1,12) and has the same slope as a vertical line
Answers
This line passes through the point (-1,12) has an x-value of -1. Therefore the equation of the line is simply x=-1
(01.05) what is the slope-intercept form equation of the line that passes through (3, 4) and (5, 16)? (1 point) y = 6x − 14 y = −6x + 14 y = −6x − 14 y = 6x + 14
Answers
slope = (16 - 4) / (5 - 3) = 12/2 = 6
y = mx + b
slope(m) = 6
use either of ur points (3,4)...x = 3 and y = 4
sub and find b, the y int
4 = 6(3) + b
4 = 18 + b
4 - 18 = b
-14 = b
so ur equation is : y = 6x - 14
Answer:
The answer is [tex]y=6x-14[/tex]
Step-by-step explanation:
In order to determine the slope-intercept form equation, we need to know the formula. The formula needs a slope (m) and a point (x,y) that belongs to the equation.
[tex]y-y_1=m(x-x_1)\\m=slope\\(x_1,y_1)=point[/tex]
For m:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
So, first we have to define every variable and then we replace them into the formula:
[tex]P_1=(3,4)\\P_2=(5,16)\\m=\frac{16-4}{5-3}\\m=\frac{12}{2}=6[/tex]
It doesn't matter the order of how you define the points. The result will be the same.
Then:
[tex]y-4=6*(x-3)\\y=6*(x-3)+4\\y=6x-18+4\\y=6x-14[/tex]
Finally, the slope-intercept form equation is [tex]y=6x-14[/tex]
If you know the pythagorean theorem, then you can always find the distance between two points in the plane.
Answers
Answer:
The Answer Is True
Step-by-step explanation:
The sum of the digits of a two-digit number is 6. when the digits are reversed, the number decreased by 18. find the original number.
Answers
=> x =12/3 =4
so, original number is 84.
1/6 ÷4/7=?please help I don't understand this
Answers
Reciprocal of 4/7= 7/4
1/6*7/4= 7/24
Final answer: 7/24
Larry has $20 to spend at the store. He plans to purchase five items that cost $5.79, $7.63, $3.46, $2.99, and $3.65. Larry estimated his total cost to make sure he has enough money for his purchases. Is his estimate accurate? Explain why or why not. $5 + $7 + $3 + $2 + $3 = $20
Answers
Answer:
Larry did not round correctly. He used front-end estimation, but he did not round up when appropriate. His estimate will be lower than the amount of money he needs.
Step-by-step explanation:
yeah
Larry's estimation is incorrect.
The total cost of the items that Larry bought will be:
= $5.79 + $7.63 + $3.46 + $2.99 + $3.65
= $23.65
Since Larry estimated his total cost to be $20 while the correct answer is $23.65, then his estimate is wrong.
Read related link on:
https://brainly.com/question/13183770
Almost done. Math has been my worst nightmare since 6th grade.
Answers
Given below is the odd-number function. Which of the following are equal to O(9)? Check all that apply.
O(n) = 2n - 1
A. The ninth odd number
B. O(8) + 2
C. 9
D. 17
Answers
I did this too and those were the right answers!
I hope this helps! :>
Amy is a software saleswoman. Her base salary is 2300, and she makes and an additional $80 for every copy of English is fun she sells. Let p represent her total pay ( in dollars ), and let N represent the number of copies of English is fun she sells. Write an equation relating P to N. Then use this equation to find her total pay if she sells 21 copies of English is fun
Answers
A small plane traveled from city a to city b, averaging 169169 miles per hour. the trip took twotwo hours. what is the distance from city a to city b?
Answers
Which conditional statement is false?
A. If a figure has four congruent angles, then it is a square.
B. If two figures are congruent, then they have equal perimeters.
C. If two figures are congruent, then they have equal side and angle measurements.
Answers
The statement that If a figure has four congruent angles, then it is a square is a false conditional statement which is the correct option (A).
What is the conditional statement?A conditional statement is defined as the two fundamental components that make up a conditional statement are Hypothesis (if) and Conclusion (then).
Let us consider the example to understand the parts of a conditional statement.
Conditional Statement: If today is Friday, then yesterday was Thursday.
Hypothesis: "If today is Friday."
In the given problem,
Conditional Statement: If a figure has four congruent angles, then it is a square
Hypothesis: "If a figure has four congruent angles"
One example of a counterexample is a rectangle, which although not a square, has four congruent angles.
Hence, the statement that If a figure has four congruent angles, then it is a square is a false conditional statement which is the correct option (A).
Learn more about the conditional statement here:
brainly.com/question/7066208
#SPJ2