Give the value of x in each quadrilateral. Then state if the quadrilateral is a Trapezoid. Why/why not? (Hint: Shapes are not drawn
to scale)
Let's focus on the figure on the left.
For any quadrilateral, the angles always add up to 360. We'll use this to find x.
105+80+75+x = 360
260+x = 360
x = 360-260
x = 100
Now notice that the pair of adjacent angles 105 and 80 add up to 105+80 = 185, which is not 180. Similarly, the adjacent angles 80 and 75 add to 155 which is not 180.
This is enough to show that we don't have any parallel lines here. If we did have parallel lines, then adjacent angles would add to 180.
Since none of the lines are parallel, this figure is not a trapezoid
Any trapezoid has exactly one pair of parallel lines.
-------------------------------------------------------------------------------------
Move onto the figure on the right
We'll follow the same ideas mentioned in the last section.
x+110+92+88 = 360
x+290 = 360
x = 360-290
x = 70
Note how the adjacent angles 70 and 110 add to 70+110 = 180. This shows they are supplementary angles and that we do have a set of parallel lines (top and bottom). In contrast, the angles 110 and 92 do not add to 180, so that helps us see we only have one pair of parallel lines.
Therefore, the figure is a trapezoid
What is the slope of every perpendicular line to y-2/3x=-4
Answer:
The slope of the line perpendicular is -3/2.
Step-by-step explanation:
y-2/3x=-4
y = 2/3x - 4
The slope of the line perpendicular is -3/2.
What is the correct ratio of each rational root of the polynomial Function
Answer:
factor of 6 and 5
Step-by-step explanation:
Helpppppp me please
Answer:
x=2
Step-by-step explanation:
The x is known which means that it is the one that is parallel to the y axis.
Answer:
x = 2
Step-by-step explanation:
The y axis is a vertical line
x = 2 would create a vertical line making it parallel with the y axis
what is the zero of the function
Answer:
A
Step-by-step explanation:
The zero is the value of x where the line crosses the x- axis
The line crosses the x- axis at x = - 5 ← zero
Answer:
-5
Step-by-step explanation:
The zero of a function is the x-value of the location where the function intersects the x-axis.
Here I read at (-5,0), the function intersects the x-axis, so the zero of the functiion is x = -5
What is the domain of the function y=3sqrtx-1?
-infinity
-1
0 less than or equal to x
1 less than of equal to x
Answer:
Step-by-step explanation:
help me with this question, don’t not understand.
A an election, a total of 240 votes were cast for four candidates. The winner won by a margin of 8, 13, and 15 votes over the other three candidates. What was the lowest number of votes received by a candidate?
Answer: 54
Step-by-step explanation:
Total votes: 240
Votes for the winner: x
Votes for candidate 1: x - 8
Votes for candidate 2: x - 13
Votes for candidate 3: x - 15
Equation to find the amount of votes of the winner (x) is:
240 = x + x - 8 + x - 13 + x - 15
Combine x and x to get 2x.
240=2x−8+x−13+x−15
Combine 2x and x to get 3x.
240=3x−8−13+x−15
Subtract 13 from −8 to get −21.
240=3x−21+x−15
Combine 3x and x to get 4x.
240=4x−21−15
Subtract 15 from −21 to get −36.
240=4x−36
Swap sides so that all variable terms are on the left hand side.
4x−36=240
Add 36 to both sides.
4x=240+36
Add 240 and 36 to get 276.
4x=276
Divide both sides by 4.
x= 4/276
Divide 276 by 4 to get 69.
x=69
Votes for the winner: 69
Votes for candidate 1: 69 - 8 = 61
Votes for candidate 2: 69 - 13 = 56
Votes for candidate 3: 69 - 15 = 54
The candidate that had the lowest number of votes received 54 votes.
Calculate the slope of the line represented by each table.
Please help me!
Answer:
slope=2
Step-by-step explanation:
im guezssing
I'll do the first one (on the left) to get you started.
Pick any two rows you want from the table. I'll pick the first and third rows.
These rows say that (2,-1) and (4,4) are points on the line.
Use the slope formula to get...
m = (y2-y1)/(x2-x1)
m = (4-(-1))/(4-2)
m = (4+1)/(4-2)
m = 5/2 is the slope
Answer: 5/213.
Graph y= x2+2. Identify the vertex of the graph. Tell whether it is a minimum or maximum.
A. (2, 0); maximum
B. (2, 0); minimum
C. (0, 2); maximum
D. (0, 2); minimum
Answer:
D. (0, 2); minimum
Step-by-step explanation:
Use the formula
x = − b/ 2 a
to find the maximum and minimum.
( 0 , 2 )
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
( 0 , 2 )
Focus:
( 0 , 9 /4 )
Axis of Symmetry:
x
=
0
Directrix:
y
=
7
4
x
y
−
2
6
−
1
3
0
2
1
3
2
6
Rewrite in vertex form and use this form to find the vertex
( h , k )
.
( 0 , 2 )
Help on number 1 is needed!!
Answer:
Substitute the values given for f(x) and g(x), in 1. they say f(x)=4x and g(x)=1-x
and basically just substitute them for the functions themselves.
4x+1-x
add like terms!
4x-x = 3x!
3x+1 is your simplified answer, since it is an expression it cannot be simplified any further.
zeroes of polynomial p(x)=2x^2-9-3x are :
Answer:
x = - [tex]\frac{3}{2}[/tex], x = 3
Step-by-step explanation:
To find the zeros let p(x) = 0 , that is
2x² - 3x - 9 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 9 = - 18 and sum = - 3
The factors are - 6 and + 3
Use these factors to split the x- term
2x² - 6x + 3x - 9 = 0 ( factor the first/second and third/fourth terms)
2x(x - 3) + 3(x - 3) = 0 ← factor out (x - 3) from each term
(x - 3)(2x + 3) = 0
Equate each factor to zero and solve for x
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - [tex]\frac{3}{2}[/tex]
x - 3 = 0 ⇒ x = 3
What is the value of x, given that AE || BD?
Answer:
options number 1 is the answer
Yr is the circundcenter of ASTU, find each measures.
It’s
Sv =9
Yw =9
Sy= 11
Yx = 11
So am I right??
Answer:
yes you are
Step-by-step explanation:
In the diagram of A XYZ, which term describes point ?
Z
X
++
W
Y
Answer:
c
Step-by-step explanation:
ans is c we can clearly see there in this triangle c only describes it
A town has a population of 5000 and grows at 4% every year. What will be the population after 7 years, to the nearest whole number?
Answer:
6580 approx
Step-by-step explanation:
Given data
Population= 5000
Rate= 4%
Time = 7years
We are going to apply the compound interest formula
A=P(1+r)^t
substitute
A= 5000(1+0.04)^7
A= 5000(1.04)^7
A=5000*1.3159
A= 6579.5
Hence the population after 7 years is 6580 approx
what is 0.15 divided by 9 as a decimal please only correct answers this is a final
Answer:
0.01666666666
Answer:
60
Step-by-step explanation:
if you flip it around from "0.15 divided by 9" and turn it into "9 divided by 0.15" you will the answer 60.
(hopes this helps )
WHOEVER ANSWERS FIRST GETS BRAINLIEST!
Jenna has 10 3/4 yards of fabric. She uses 6 2/3 yards to make a banner.
How much fabric is left?
Enter your answer in the box as a mixed number in simplest form and in Yards.
Answer:
4 1/12 yards of fabric left.
Step-by-step explanation:
First things first: convert the mixed numbers so they have the same denominator
The least common multiple of 4 and 3 is 12, so the common denominator will be 12.
So Jenna has 10 9/12, and uses 6 8/12.
Now subtract:
10 9/12 - 6 8/12 = 4 1/12
So there is 4 1/12 yards of fabric left.
Plssssssssss Answer 100% sure will mark as brainlist
Find the angle measure x in the following
Answer:
Step-by-step explanation:
2x+15+x+10+3x+5=180 degree(sum of interior angles of a triangle)
6x+30=180
6x=180-30
x=150/6
x=25
therefore the value of x is 25 degree.
Which of the following options could represent a possible set of interior angles of a triangle? 45°, 105°, and 120° O 60°, 150° and 150° 15. 35 and 40 35. 65, and 80
Answer:
Divide the each part and get the circle 360 and triangle 180
Solve for x. Assume that lines which appear tangent are tangent. X=
Answer:
x = 32
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
(x+18) * 18 = 30^2
(x+18) * 18 = 900
Divide each side by 18
(x+18) * 18/18 = 900/18
(x+18) = 50
Subtract 18 from each side
x+18-18 = 50-18
x=32
Answer:
50
Step-by-step explanation:
tangent-secant theorem
What is the product of (3x - 4y) and (- 2x + 5y - 6)?
A.) - 6x? + 7xy - 18x – 20y? + 24y
B.) - 6x² + 23xy - 18x - 20y? + 24y
C.) 6x? + 23xy - 18x - 20y2 + 24y
D.) - 6x² + 23xy - 18x + 20y? - 24y
Answer:
The answer is option c
Step-by-step explanation:
Product means we have to multiply
[tex](3x - 4y) \times ( - 2x + 5y - 6) \\ 3x( - 2x + 5y - 6) - 4y( - 2x + 5y - 6) \\ - 6x {}^{2} + 15xy - 18x + 8xy - 20y { }^{2} + 24[/tex]
You then group like terms
[tex] - 6x {}^{2} + 15xy + 18xy - 20y {}^{2} + 24 \\ 6x {}^{2} + 23xy - 20y {}^{2} + 24[/tex]
And there's your answer
What is the value of k??
Answer:k=10
Step-by-step explanation:
gary has $227.36 in his bank account. her must maintain a minimum balance of $550 in his account to avoid paying monthly service fee. how much money can gary deposit into his account to avoid paying this fee?
Answer:322.64 (I think)
Step-by-step explanation:
550-227.36=322.64
Answer:
what the other person said here
I have been trying to solve this for the past 10 minutes pls helpp
Step-by-step explanation:
[tex]\sqrt{2} = 1,414213562 = 1,41\\[/tex] ( with calculator )
[tex]\sqrt{3} = 1,732050808 = 1,73[/tex] ( with calculator )
Sow , you need 2 irrationale numbers between 1,41 and 1,73
What is a irrationale number ?
Irrational number, any real number that cannot be expressed as the quotient of two integers. ... For example, there is no number among integers and fractions that equals the square root of 2.
An example : 1.234343 , [tex]\sqrt{9\\}[/tex] , π ...
In the file you can find some more info.
Sow we can say 1,583909 and 1,683738 is a Irrationale number between
1,41 and 1,73 = between [tex]\sqrt{2}[/tex] and [tex]\sqrt{3}[/tex]
if there is any mistake , pls call me.
Regards The Gentlemen
Can someone explain how to do this and add the formula please
Answer:
5 is 35 and 6 is 50
Step-by-step explanation:
To solve 5, you need to know how many degrees is the line, which is 180 because lines are 180 degrees. You then subtract 110 from 180 which equals to 70. What you have left now is 2k. A number times 2 will equal to 70, so k=35.
For 6, if you ever see two lines intersecting each other, it means that it is 360 degrees. We already have one angle, which is 120. The other angle is d+70 degrees, and any angle that is reflecting the other angle will have the same value. So, d equals 50
(sorry if you still can't understand it I'm not good at English
Lily bought a car for $13500. She paid for it in 36 equal monthly payments. Calculate the amount she paid each month.
Answer:
375
Step-by-step explanation:
Lily paid $750 each month for 36 months to pay off her car loan.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example: so
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To calculate the amount that Lily paid each month, we can divide the total cost of the car by the number of monthly payments:
So,
Amount paid each month
= Total cost / Number of payments
In this case,
The total cost is $13,500 and the number of payments is 36:
Amount paid each month = $13,500 / 36
We can simplify this fraction by dividing both the numerator and the denominator by the greatest common factor of 13,500 and 36, which is 18:
Amount paid each month = $750
Therefore,
Lily paid $750 each month for 36 months to pay off her car loan.
Learn more about expressions here:
https://brainly.com/question/3118662
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What is the length of leg s of the triangle below?
45°
90°
45°
10v2
Answer:
B
Step-by-step explanation:
The 45 45 90 triangle means that the hypotenuse is just one of the two legs multiplied by rad2. This means that leg s is 10.
The length of the leg is 10.
Option B is the correct answer.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = Perpendicular / Hypotenuse
Cosec = Hypotenuse / Perpendicular
Cos x = Base / Hypotenuse
Sec x = Hypotenuse / Base
Tan x = Perpendicular / Base
Cot x = Base / Perpendicular
We have,
Sin 45 = Opposite face to angle 45/ Hypotenuse
1/√2 = s / 10√2
s = 10√2 / √2
s = 10
Thus,
The length of the leg is 10.
Learn more about trigonometric identities here:
https://brainly.com/question/14746686
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Answer this question pls
step by step explaination
this is u r answer
PLEASE HELP ME QUICKLY!!!!!
Find the equation of the line of best fit in slope-intercept form.