Answer:
x=15
Step-by-step explanation:
79-15=64
94-30=64
The value of x for which r || s will be 15.
What are Parallel lines?
Parallel lines are those lines that are equidistance from each other and never intersect each other.
Given that;
Lines r and s are parallel to each other.
m ∠1 = 79 - x
m ∠2 = 94 - 2x
Since, Two lines r and s are parallel to each other.
Then, By definition of alternate angles of parallel lines;
m ∠1 = m ∠2
Now, Substitute the given values we get;
m ∠1 = m ∠2
79 - x = 94 - 2x
Subtract 79 both side,
79 - x - 79 = 94 - 2x - 79
- x = 15 - 2x
Add 2x both side,
- x + 2x = 15 - 2x + 2x
x = 15
Thus, The value of x is 15 for which r || s.
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Triangle DEF with vertices D(1, 2), E(3, 4), and F(1,4), is reflected across the y-axis, and then its image is reflected across the line y = x. Which single transformation moves the triangle from its starting position to its final position?
Answer:
Reflect over the x-axis
The single transformation of the given triangle will be rotation clockwise 90°.
What is the transformation of graphs?The technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation.
Graph reflection is the mirror image of a graph across any axis.
For example reflection of y = x about the x-axis like that.
Given vertices has plotted below.
As it is clear that if we rotate by 90° clockwise then we will get reflected across the line y = x.
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I cant seem to understand this. Please, someone help :)
Answer:
76
Step-by-step explanation:
Is this isosceles triangle acute or equiangular?
Answer:
Equiangular triangle
Step-by-step explanation:
If (x+5) is one of the factors of the polynomial x3 + x2 - 32x - 60, find the remaining roots.
Answer:
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love
Step-by-step explanation:
Answer:
x = 5
x = 2
x = -6
Step-by-step explanation:
Use synthetic division to determine whether x – 4 is a factor of:
–2x5 + 6x4 + 10x3 – 6x2 – 9x + 4
For x – 4 to be a factor, you must have x = 4 as a zero. Using this information, I'll do the synthetic division with x = 4 as the test zero on the left:
completed division
Since the remainder is zero, then x = 4 is indeed a zero of –2x5 + 6x4 + 10x3 – 6x2 – 9x + 4, so:
Yes, x – 4 is a factor of –2x5 + 6x4 + 10x3 – 6x2 – 9x + 4
Find all the factors of 15x4 + x3 – 52x2 + 20x + 16 by using synthetic division.
Remember that, if x = a is a zero, then x – a is a factor. So use the Rational Roots Test (and maybe a quick graph) to find a good value to test for a zero (x-intercept). I'll try x = 1:
completed division
This division gives a zero remainder, so x = 1 must be a zero, which means that x – 1 is a factor. Since I divided a linear factor (namely, x – 1) out of the original polynomial, then my result has to be a cubic: 15x3 + 16x2 – 36x – 16. So I need to find another zero before I can apply the Quadratic Formula. I'll try x = –2:
completed division
Since I got a zero remainder, then x = –2 is a zero, so x + 2 is a factor. Plus, I'm now down to a quadratic, 15x2 – 14x – 8, which happens to factor as:
(3x – 4)(5x + 2)
Then the fully-factored form of the original polynomial is:
15x4 + x3 – 52x2 + 20x + 16
= (x – 1)(x + 2)(3x – 4)(5x + 2)
Given that x = -3 + sqrt(11) is a zero of x4 + 6x3 – 7x2 – 30x + 10, fully solve the
equation x4 + 6x3 – 7x2 – 30x + 10 = 0.
Since they have given me one of the zeroes, I'll use synthetic division to divide it out:
completed division
(You will probably want to use scratch paper for the computations required when manipulating the radical root.) Copyright © Elizabeth Stapel 2002-2011 All Rights Reserved
Since you only get these square-root answers by using the Quadratic Formula, and since the square-root part of the Formula is preceded by a "plus-minus" sign, then these square-root answers must always come in pairs. Thus, if x = -3 + sqrt(11) is a root, then so also must x = -3 - sqrt(11) be a root. So my next step is to divide by x = -3 - sqrt(11):
completed division
I had started with a fourth-power polynomial. After the first division, I was left with a cubic (with very nasty coefficients!). After the second division, I'm now down to a quadratic (x2 + 0x – 5, or just x2 – 5), which I know how to solve:
x = +/- sqrt(5)
Then the full solution is:
x = -3 +/- sqrt(11), +/- sqrt(5)
If you have studied complex numbers, then you may see a problem of the following type.
Given that 2 – i is a zero of x5 – 6x4 + 11x3 – x2 – 14x + 5, fully solve the
equation x5 – 6x4 + 11x3 – x2 – 14x + 5 = 0.
They have given us a zero, so I'll use synthetic division and divide out 2 – i:
completed division
(You will probably want to use scratch paper for the computations required when doing complex division.)
Recall that, to arrive at a zero of 2 – i, they must have used the Quadratic Formula, which always spits out complex answers in pairs. That is, you get the imaginary part (the part with the "i") from having a negative inside the "plus or minus square-root of" part of the Formula. This means that, since 2 – i is a zero, then 2 + i must also be a zero. So I'll divide by 2 + i:
completed division
This leaves me with a cubic, so I'll need to find another zero on my own. (That is, I can't apply the Quadratic Formula yet.) I can use the Rational Roots Test to help find potential zeroes, and a quick graph of x3 – 2x2 – 2x + 1 can help. I will try x = –1:
completed division
Now I'm down to a quadratic (x2 – 3x + 1, which happens not to factor), so I'll apply the Quadratic Formula to get:
x = (3 +/- sqrt(5))/2
Then all the zeroes of x5 – 6x4 + 11x3 – x2 – 14x + 5 are given by:
x = 2 - i, 2 + i, (3 - sqrt(5))/2, (3 + sqrt(5))/2, -1
what is an equation of the line that is parallel to y=-5x+6 and passes through the point (-4,-1)
Answer:
y= -5x - 21
Step-by-step explanation:
parallel lines have the same slope, so you know the slope.
you need to use the point slope formula y-y1=m(x-x1)
with this equation, this looks like y - -1 =- 5(x - -4)
double negatives are positives, so to keep this easier on the eyes, let's make it y + 1= -5(x + 4)
distribute the -5. you should get y + 1 = -5x - 20
subtract 1 to move it from the left side to the right and you get your answer!
y = -5x - 21
Identify the slope of the line.
y=x+11
Answer:
when starting from point 0|0 go 11 points up. then just up to the right
Answer:
m = 1
Step-by-step explanation:
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations (I use it all the time).
For the following quadratic equation, find the discriminant.
x^2+ 10x + 44 = 0
Answer:
padlet com /vpena20241
/sv1blyklvnvfbcdw
Step-by-step explanation:
What is the answer to 3-(-8)
Answer:
11
Step-by-step explanation:
3 - (-8) = 3 + 8 = 11
Answer: 11
Step-by-step explanation:
This is because when you subtract a negative number from a positive you get a positive (here's a lil trick if you have 2 minuses In a row they become a plus sign) so the answer is 11
Which statement most accurately describes what happens when a bar of chocolate melts? A. A physical change takes place that causes molecules to move slower. B. A physical change takes place that causes molecules to move faster. C. A chemical change takes place that causes molecules to move faster. D. A chemical change takes place that causes molecules to move slower.
Answer:
(B). A physical change takes place that causes molecules to move faster
Step-by-step explanation:
When a bar of chocolate melts its physical form is changed, there is no difference in its chemical composition as it is still same.
When the chocolate bar was frozen its molecules were held strongly, and they were barely moving, whereas when it melts the molecules are more free to move now.
An assembly was held for the 7th graders. When first entering the gym 5 out of 8 of the 7th grade boys had on hoodies. If 320 boys attend the assembly , what is a reasonable amount of them that will be wearing hoodies?
140
200
180
160
What is the greatest common factor of 28 and 49
Answer:
7 is the greatest comman factor of 28 and 49
To control an infection, a doctor recommends that a patient who weighs 92 pounds be given 320 milligrams of antibiotic. If the antibiotic is given proportionally according to the patient's weight, how much antibiotic should be given to a patient who weighs 138 pounds?
400 milligrams
480 milligrams
550 milligrams
600 milligrams
Answer:
138/92*320 = 480 milligrams. ... If the antibiotic is given proportionally according to the patient's weight, how much antibiotic should be given to a patient who ... If the antibiotic is given proportionally according to the patient's weight, how much antibiotic should be given to a patient who weighs 138 pounds. 2.
Step-by-step explanation:
I hope I help :)
The figure below shows two pair of congruent triangles. ΔFDE≅ _____. ΔYXW ΔXYW ΔWYX ΔWXY
Answer:
WYX
Step-by-step explanation:
Answer:
wxy
Step-by-step explanation:bc it is
Anyone know how to do this? pls explain how
anyone know this ? for math , thank you
Answer: The y=2
Step-by-step explanation:
What quadrant does -495 lie in?
select the cost of 2 pounds of blueberries
$2
$4.50
$9
$14.00
Select the correct answer.
How does Gary's character reflect the passage's theme?
A.
The character's dialogue reveals that heroes are people of very few words.
B.
The character demonstrates that all kids are afraid of being caught skipping class.
C.
The character illustrates that bullies do not care whom they push around.
D.
The character's transformation shows that the unlikeliest of people can be heroes.
Answer:
D?
Step-by-step explanation:
I think so
Answer:
D.The character's transformation shows that the unlikeliest of people can be heroes.
Marco is discussing how prices have changed with his son, Paul. Paul does not believe him, so they decide to research the price of their favorite food items. Use the information below to determine the percent change in the question below. Round your answers to nearest tenths place.
What is the percent of change in the cost of a hot dog? il mark you brainly
Answer:
devide them by each other and then when it is deamal form put it in %
:)
Step-by-step explanation:
Brainliest plz
Answer:
Cost of the Pizza is 20%
Cost of the Cheeseburger is 30%
Cost of the Fries is 125%
Step-by-step explanation:
Helpp me pls for this one
Answer:
5
Step-by-step explanation:
I Got renegade Raider From Fortnite For Free add me and like heart me if you want to learn how to get it
Answer:
that's fake right?
Step-by-step explanation:
¯\_(ツ)_/¯
Determine the equation of the line represented in the graph below.
y = 2/3x - 1
y = 3/2x - 1
y = 2/3x + 1
y = 3/2x + 1
Answer:
2/3x-1
Step-by-step explanation:
-8x + 2c = -3, for x
Answer:
x=3/8+c/4
Step-by-step explanation:
Which number line shows the graph of -2.75
-3
-2
-1
0
1
2
3
0
1
2.
3
-3 -2
-1
0
1
2 3
-3 -2
0
1
2.
3
Answer:
B.
Step-by-step Explanation:
The correct number line for -2.75 < x in the given options is the second diagram.
What is number line?
A number line is a picture of straight line that represents real numbers. These real numbers include both negative and positive numbers.
For the given expression which -2.75 < x, that is negative 2.75 is less than x or x is greater than negative 2.75.
On the number line, the arrow with unshaded circular bottom must start from -2.75 and point towards the right.
Thus, the correct number line in the given options is the second diagram or option B.
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if any of you guys know someone named shurmpy or molly plz tell me they real good freinds to me
Answer:
ok
Step-by-step explanation:
HELP PLS BRAINLIEST FOR CORRECT ANSWER
Answer:
83
Step-by-step explanation:
Answer:
x = 59
y = 83
Step-by-step explanation:
First, you need to solve for y in order to solve for x. Using the Triangle Sum Theorem, you will find that y is 83 degrees.
Now, using the Vertical Angles Theorem, you can figure out the third angle of the triangle in which x is, 83.
Using the Triangle Sum Theorem again, you will find that x is 59.
-2 1/2 divided by 3 1/2 ?
Step-by-step explanation:
[tex] - 2 \times \frac{1}{2} \div 3 \times \frac{1}{2 } \\ - \frac{5}{2} \div \frac{7}{2} \\ - \frac{5}{2} \times \frac{2}{7} \\ = - \frac{5}{7} [/tex]
Brandi earned $140 from a summer job to buy new clothes for school. She found several items she would like to buy, but is trying to decide if she has enough money to buy all the items she likes. She found two pairs of shorts for $25 each and four shirts with an average cost of $19 per shirt. She will have to pay 7.5% sales tax.
PART A: If she buys all of the items, how much sales tax will she have to pay?
The sales tax for Brandi's purchase will be $(insert answer here)
PART B: What is the total cost of her purchase including sales tax?
Brandi will spend $(insert answer here) on her purchases, including sales tax.
Answer: a. $9.45 ; b. $135.45
Step-by-step explanation:
Since two pairs of shorts for $25 each, the total amount she'll pay for the shorts is:
= $25 × 2
= $50
Since the four shirts with an average cost of $19 per shirt. The total amount she'll pay for the shirt is:
= $19 × 4
= $76
A. Her sale tax will be calculated as:
= 7.5% × ($50 + $76)
= 0.075 × $126
= $9.45
B. Her total cost will be:
= Cost of shorts + Cost of shirts + Sales tax
= $50 + $76 + $9.45
= $135.45
Answer:
Part A- 9.45 Part B- 135.45
Step-by-step explanation:
Please help me with this is really important here is the picture
Answer:
constant speed 35
Step-by-step explanation:
at 1 hour its above 35. its a constant speed because its a straight line. is that complete enough for you moderator
the answer is the speed is 35
What is the slope,m, of the table?
What is the y-intercept,b, of the table?
What is the equation that represents the table?
Answer:
9
Step-by-step explanation: