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There are two ways to do this.
The quicker way is to use the remote interior angle theorem. We have the interior angles 53 and 103 which add to 53+103 = 156 which is exactly the exterior angle VUX.
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The slightly longer way involves finding angle TUV first. Let's say this is equal to the variable y
Adding any three interior angles of a triangle always gets us 180
53+103+y = 180
y+156 = 180
y = 180-156
y = 24
Angle TUV is 24 degrees
The angle supplementary and adjacent to this is angle VUX, which I'll call z
z+y = 180
z = 180-y
z = 180-24
z = 156
So this is another way to get to the answer 156 degrees.
How do the points of a figure move in a translation?
A. Same distance and different direction
В. Same distance and same direction
C. Different distance and different direction
D. Different distance and same direction
plz help!!!!!
Answer: В. Same distance and same direction
Step-by-step explanation:
A translation is a rigid transformation that maps each point of the original figure to a new position by the same distance and in the same direction.
It does not change the size or shape of the image.
Thus the correct statement relates to translation is "Same distance and same direction"
Hence, the correct option is B.
The five-number summary for a data set is given by min = 5, Q1 = 18, median = 20, Q3 = 40, max = 75. If you wanted to construct a boxplot for the data set (that is, one that would show outliers, if any existed), what would be the maximum possible length of the right-side "whisker"? * 2 points 53 35 55 33 45
Answer:
33
Step-by-step explanation:
Values beyond the whiskers of the boxplot are called the outliers :
For a right side Outlier :
Values > Q3 ± 1.5(IQR) ;
IQR = Q3 - Q1)
From the data given:
IQR = (40 - 18) = 22
Hence ; the maximum value of right side whisker will be :
1.5(22) = 33
The maximum possible length of the right-side "whisker" is 33
The given parameters are:
Min = 15Q1 = 18Median = 20Q3 = 40Max = 75Start by calculating the interquartile range (IQR) using:
[tex]IQR = Q3 -Q1[/tex]
So, we have
[tex]IQR = 40 - 18[/tex]
[tex]IQR = 22[/tex]
The maximum possible length of the right side whisker is then calculated as:
[tex]L = 1.5 \times IQR[/tex]
This gives
[tex]L = 1.5 \times 22[/tex]
Multiply 1.5 by 22
[tex]L = 33[/tex]
Hence, the maximum possible length of the right-side "whisker" is 33
Read more about box and whisker plots at:
https://brainly.com/question/3293067
♡Complete the equation of this circle:
◇◇◇PLEASE ONLY ANSWER IF YOU KNOW FOR SURE!!!!!
...FILL IN ALL BLANKS
The equation of the given circle is :
[tex](x - 2) {}^{2} + (y - ( - 2)) {}^{2} = 9[/tex]
So the value in the blanks will be :
1st = 22nd = -23rd = 9What is the mean of this set of numbers?
12, 33, 19, 26, 24, 30
In another right angle triangle the hypotenuse is 53, and the one of the side lengths is
28. Please find the missing side length,
EASY MATH PLEASE HELP! :)
I WILL GIVE BRAINLIEST!
QUESTION: Find the area!
Answer:
Total Area: 60
Step-by-step explanation:
The area of the rectangle is the easiest to find. Just multiply 12x4.
12x4=48
For the triangle. You can subtract 4 from the height of 10ft.
The height of the triangle is now 6ft.
To calculate the area of a triangle, multiply the height by the base (this is also known as the 'width') then divide by 2.
Btw the image was really small. Kind of hard to see the numbers.
The amount of rona cases in Gotham city is 540 people for the first ½ of 2020. In July, a rona spike at the rate of 5.2 people for each day in the month hits. Additionally, the joker has infected all of Arkham Asylum’s 225 patients with the virus. What month will you hit 1,000 cases of rona in Gotham?
Answer:
Imma but it in the comments because i can't put it on here plus i can't put the thing on here either that's why i didn't do it yesterday
Step-by-step explanation:
Solve for 43.
43 = [?]
58°
139° 41°
43
Answer:
∠3 = 81
Step-by-step explanation:
Interior angles in a triangle add up to equal 180°
Hence, 58° + 41° + ∠3 = 180
58 + 41 = 99
99 + ∠3 = 180
* subtract 99 from each side *
99 - 99 cancels out
180 - 99 = 81
we're left with ∠3 = 81°
Adam wants to save as much money as he can in one month. He started with -$2 in his bank account at the beginning of the month and he put $3 each day into the savings account.
Check the following pair of linear equations is consistent or inconsistent
5x - 3y = 11, -10x + 6y = -22
Answer:
Consistent
Step-by-step explanation:
It was a solution.
16. A map is drawn on a coordinate plane.
Each unit represents 10 miles. Terri
drives from her home at point G to her
friend's home at point H, following the
route shown below. Terri drives steadily
at 50 miles per hour. How long is the
distance between the two points? How
long will it take Terri to get from point
G to point H?
Answer:
can't answer without the picture because you need the route to know how far.
Find the discriminant of 3x^2 - 10x = -2
I don't know what a discriminant is help
If using the method of completing the square to solve the quadratic equation
x² – 8x
1= 0, which number would have to be added to "complete the
square"?
You add half of the coefficient of x and square it.
What you do on one side,you must do it on the other.
pls answer thank you
435.6
mark me brainliestt pls :)))
Jimmy and Jennifer are selling pies for a school fundraiser. Customers can buy apple pies and blackberry pies. Jimmy sold 10
apple pies and 2 blackberry pies for a total of $80. Jennifer sold 10 apple pies and 3 blackberry pies for a total of $100. Find the
cost each of one apple pie and one blackberry pie.
Answer:
One apple pie is $4 and one blackberry pie is $20
Step-by-step explanation:
Create a system of equations where a is the cost of one apple pie and b is the cost of one blackberry pie:
10a + 2b = 80
10a + 3b = 100
Solve by elimination by multiplying the top equation by -1, then adding the equations together:
-10a - 2b = -80
10a + 3b = 100
Add these together:
b = 20
So, one blackberry pie is $20. Plug in 20 as b into one of the equations, and solve for a:
10a + 2b = 80
10a + 2(20) = 80
10a + 40 = 80
10a = 40
a = 4
So, one apple pie is $4.
One apple pie is $4 and one blackberry pie is $20
What is the standard equation of a circle with center (-2,0) and radius 4?
Answer:
B(x+2)^2+y^2=16
Step-by-step explanation:
since you have an x-coordinate only and it is negative and a y coordinate which is 0..basically x will appear positive with its conjecture x^2 and the y value will be independent...y^2...bare in Mind that radius is always squared hence it is 16 instead of 4
Santos went on a bike ride of 90 miles. He realized that if he had gone 24 mph faster, he would have
arrived 12 hours sooner. How fast did he actually ride?
Need an answer fast
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Explanation:
distance = rate*time
90 = r*t
where r is the slower speed and t is the time it takes when going that slower speed.
If r is bumped up 24 mph faster, to r+24, then Santos takes t-12 hours to get there. The second equation is
90 = (r+24)(t-12)
-------------------------------------
We can solve the first equation for r to get r = 90/t
Then plug this into the second equation and do a bit of algebra
90 = (r+24)(t-12)
90 = (90/t+24)*(t-12)
90 = 90 - 1080/t + 24t - 288
90t = 90t - 1080 + 24t^2 - 288t
0 = 90t - 1080 + 24t^2 - 288t-90t
0 = 24t^2 - 288t - 1080
24t^2 - 288t - 1080 = 0
If you apply the quadratic formula, then you should get the two solutions t = -3 and t = 15. Due to time constraints, I'll skip these steps.
We'll ignore the negative t value. It makes no sense to have a negative time.
So we focus on t = 15 as the only solution.
-------------------------------------
If t = 15, then,
r = 90/t
r = 90/15
r = 6
Santos rode his bike at 6 mph at first. Going this speed means he takes 15 hours.
If he rode 24 mph faster, at 6+24 = 30 mph, then he would ride for 15-12 = 3 hours instead. Note that 90/30 = 3.
A map using a scale of 1 inch:5 miles shows a section of land with an area of 3.2 inches what is the actual area of the section of the land
Answer:
16 miles
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
Actual area = 3.2 x 5 = 16 miles
5. Evaluate the following expression when a = -4
and b = 1/2.
b|3a – 81 – 3/2 – 2a
a) -40
c) 20
b) -20
d) -10
Answer:
Step-by-step explanation:
Given the expression
b|3a – 81 – 3/2 – 2a
If a = -4, b = 1/2
Substitute
(1/2)/3(-4) - 81 - 3/2 - 2(-4)
1/2 * 1/-12 - 81 - 3/2 + 8
= -1/24 - 81 + 8 - 3/2
= -1/24 - 3/2 - 73
= -1-36-1,752/24
= -1,789/24
= -74.5
A jar with screws weighs 2.9 kg. A similar jar with nails weighs 700 g. The screws weigh five times as much as the nails. How much does the jar weigh?
what is the answer to
= √1 −
Answer:
0
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
Its 1 because the square root of anything is that number having the ability to be multiplied by the same number. And that is going to be a positive number.
Hey, i know this is a lot, but I'm offering 100 points and a brainliest
Please, and thanks in advance :)
Step-by-step explanation:
Q4. A &B : 10m-16 & 2(5m-8)
Q7. 8a-(-3-5a)-2a
step 1 is error
it should be:
step 1: 8a+3+5a-2a
step 2: (8a+5a-2a)+3
step 3: (13a-2a)+3
step 4: 11a +3
the perimeter of square:
A, B & C are correct
Q5. yes, no, no, yes, yes
Answer:
A) option (a) i.e 10m-16
C) option (b) i.e 4(n-1.5)
E) option (a) i.e Step1: 8a+3-5a-2a
sorry I don't know the ans of ques 7 and 5
hope above ans may help you
Enter an equation that represents total cost, C, in dollars of the helium filled balloons for n party guests.
Answer:
c=n*126
Step-by-step explanation:
126 because if its 3 balloons per guest, then its $6 worth of balloons and $120 worth of helium per guest.
Can someone please help me thank you
Answer:
The Slope Is 0.6
Step-by-step explanation:
Formula: [tex]m=\frac{yb-ya}{xb-xa}[/tex]
Solution:
[tex]m=\frac{-10-2}{-16-4}[/tex]
[tex]m=\frac{12}{-20}[/tex]
m=0.6
Answer:
the answer would be -12/-20 or 0.60
the radius of a circle is 14.2 m. Find the circumference to the nearest tenth.
Answer:
C=89.2
Step-by-step explanation:
The formula of the circumference of a circle is C=2piR (or C=piD). Now, when calculating, plug in the numbers, giving you C=2pi14.2. Multiply everything, you get a super long irrational number; just round. You will get 89.2.
You roll a 6-sided die.
What is P(divisor of 63)? Choose the closest answer.
Answer:
the divisors of 63 are
Step-by-step explanation:
1,3,7,9,21,63
Answer:
Fraction Form: 2/6 or 1/3
or Decimal Form: .333
or Percent Form: 33.333?%
Step-by-step explanation:
The divisors of 63 that are 1-6 is 1 and 3
So there are TWO numbers out of SIX.
We would turn that into the fraction 2/6 and then simplify (optional) it to 1/3.
Then we use 2/6 to convert it to multiple forms if needed.
if you multiply a certain number by 4 and then by 25 what is the number? (i know the answer but how do i write it in an algebraic equation?)
Answer:
the algebraic equation would be
4n x 25
I REALLY NEED HELP RIGHT NOW! T^T
Applying the 30-60-90 Theorem, Solve this.
Answer:
Step-by-step explanation:
take 30 degree as reference angle
using cos rule
cos 30=adjacent/hypotenuse
[tex]\sqrt{3}[/tex]/2=7[tex]\sqrt{3}[/tex]/y(do cross multiplication)
14[tex]\sqrt{3[/tex]=y[tex]\sqrt{3}[/tex]
14[tex]\sqrt3}[/tex]/[tex]\sqrt{3}[/tex]=y
14=y
for x
using pythagorsa theorem
H^2=P^2+B^2
14^2=X^2+(7[tex]\sqrt{3}[/tex])^2
196=X^2+147
196-147=X^2
49=X^2
[tex]\sqrt{49}[/tex]=X
7=X
A stack of 500 pieces of paper is 1.875 inches tall. Compute the thickness of each piece of paper. Show your reasoning.
Answer:
0.003750 inches
If the thickness of 500 pieces is given as 1.875. the thickness of one sheet of paper can be determined by dividing the total inches by 500
Thickness of each paper = thickness of total paper / 500
1.875 / 500 = 0.003750 inches
Step-by-step explanation:
Answer:
If the thickness of 500 pieces is given as 1.875. the thickness of one sheet of paper can be determined by dividing the total inches by 500
Thickness of each paper = thickness of total paper / 500
1.875 / 500 = 0.003750 inches
Step-by-step explanation:
The area of a square tile is the same as the area of a rectangle tile that is 18 inches long and 8 inches wide.
What is the side length of the square tile?
Please answer seriously it’s important.
Step-by-step explanation:
Brother Answer is 12 inches