The exterior angles of a quadrilateral have measures of 80°, 65, 2x", and 3x . Find the value of x.
Answer:
80°+65°+2x+3x=360°(sum of quadrilateral is 360)
145°+5x=360°
5x=360°-145°
5X=215°
X=215°/5°
X=43°
The required value is [tex]x=43[/tex]
Given angles are,
[tex]80^{\circ}, 65^{\circ}, 2x,3x[/tex]
As we know the sum of all angles in the quadrilateral is [tex]360^{\circ}[/tex].
Then we have the relation,
[tex]80+65+2x+3x=360\\\\145+5x=360\\5x=360-145\\5x=215\\x=43[/tex]
So, the value of the x is 43.
Find out more information about the topic:https://brainly.com/question/8565742
Complete the following
a)
3
5
20
b)
11
25
30
6.
Answer:
The answer should be B
A total of 50,000 contestants are chosen for a survey. A
computer randomly eliminates 20% of the participants
each day.
Amy works at an orange juice stand on Monday she used 1 2/5 bags of oranges on Tuesday she used 1 1/4 times as many oranges as on Monday how many bags did she use on tuesday do you know???
I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Here is the answer
Step-by-step explanation:
If Kate is 14, what was her age x years ago?
I need help please. It's trig
Answer:
6/10
Step-by-step explanation:
Answer:
It is B 8/10
Step-by-step explanation:
The upper-left coordinates on a rectangle are (-1, 7), and the upper-right coordinates are (4,7). The rectangle has an area of 20 square units. Draw the rectangle on the coordinate plane below.
Answer:
The answer is below
Step-by-step explanation:
The distance between the upper left coordinate and the upper right coordinate is the length of the rectangle. Hence:
[tex]length=\sqrt{(4-(-1))^2+(7-7)^2} =5\ units\\[/tex]
Area = length * breadth
20 = 5 * breadth
breadth = 4 units
The bottom left coordinate would have the same x coordinate as the upper left coordinate. Hence, bottom left coordinate = (-1, y₁)
The distance between the upper left coordinate and the bottom left coordinate is the breadth of the rectangle. Hence:
[tex]breadth=\sqrt{(-1-(-1))^2+(y_1-7)^2} =4\ units\\\\ y_1-7=\pm 4\\\\y_1=4+7=11\ \ or\ y_1=-4+7=3[/tex]
Since it is at the bottom, hence y₁ = 3. Hence bottom left coordinate = (-1, 3)
Bottom right coordinate has same y coordinate as bottom left coordinate and same x coordinate as upper right. Hence bottom right coordinate = (4, 3)
Calculate all of this please and you will get the brainlist
Answer:
4. 118 kg
w = 450 j , d = 3.8 m
w = mgh ⇒mg = w / h ⇒m = 450/3.8 = 118 kg
5. 9806.65 Joules
6. 25 J
The area of a circle is 81 pi in2 what is the circumference in inches express ur answer in terms of pi
Answer:
Circumference of circle = 18π inches
Step-by-step explanation:
Given the following data;
Area of circle = 81π in²
To find the circumference;
First of all, we would find the radius of the circle using the area of circle formula.
Area of circle = πr²
Substituting into the formula, we have:
81π = πr²
Dividing both sides by π, we have;
81 = r²
Taking the square root of both sides, we have;
r = 9 inches
Now, to find the circumference of the circle;
Circumference of circle = 2πr
Circumference of circle = 2*π*9
Circumference of circle = 18π inches.
The number of people using an older version of a spreadsheet program decreases at a rate that is proportional at any time to the number of people still using the version at that time.
There were 10,000 people using the older version of the spreadsheet program when the new version first came out. The number of people still using the older version decreases by 20%, percent every 6 months.
Answer:
5842 people after 2 months
Step-by-step explanation:
Given
Initial Value: [tex]a =10000[/tex]
Rate: [tex]r = 20\%[/tex] every 6 months
Required
Number of people using it after 2 months
The function follows an exponential model.
So, we need to first write out the function.
If Rate: [tex]r = 20\%[/tex] every 6 months
Then
Rate: [tex]r = 40\%[/tex] after 1 year
[tex]r = 0.04[/tex]
The function is represented as:
[tex]y = ar^x[/tex]
So:
[tex]y = 10000 * 0.04^t[/tex]
For 2 months, we have:
[tex]t = 2\ months[/tex]
Convert to years
[tex]t = \frac{2}{12}[/tex]
[tex]t = 0.167[/tex]
[tex]y = 10000 * 0.04^t[/tex]
[tex]y = 10000 * 0.04^{0.167}[/tex]
[tex]y = 5842[/tex]
15. B(-2, -9), C(0,-5), D(6,-3), E(4, -7)
Answer:
BC= 2√5
CD= 2√10
DE= 2√5
BE= 2√10
slope of BC = 2
slope of CD = 1/3
slope of DE = 2
slope of BE = 1/3
Step-by-step explanation:
formula for distance = √(x2-x1)²+(y2-y1)²
formula for slope = (y2-y1)/(x2-x1)
help me plzz.im dying.
Answer:
B
Step-by-step explanation:
is this answer
Researchers would like to assess the overall health of white pine trees in a state park. Using a computer program,
the researchers selected 100 random points in the state park and assessed the trees closest to the selected
points. Of the 100 trees selected, 24 showed damage to their lower limbs. Which of the following describes the
sample in this setting?
all white pine trees in the world
the 24 trees that showed damage
the 100 trees checked for damage
all white pine trees in the state park
Anyways,
the sample is the 100 trees checked. Thats cause they checked all 100 and found 24 had damage. Which means they sampled 100 trees out of the whatever amount in the forest.
================
[SEPARATE QUESTION]
Separate question since people are confused about it in the previous answers comments "Which of the following statements best describes the bias that may arise from the results?":
I can confirm A is wrong. C just, feels wrong completely.
So that leaves us with B or D.
I think it's D: Trees near the road may have more damage than trees away from it, so the results may overestimate the overall damage of the trees.
I have not finished yet but I am 95% sure D is correct.
The reason why I don't believe it's B is because they want to resample near the same road, which can still result to biased results.
================
ED2021
Among all the given descriptions, the one that is describing the sample in the given setting is: “all white pine trees in the state park.” Hence, Option D is correct.
What is the meaning of the term “sample”?
A sample is merely a subset of the population. Consider a scenario in which one wished to determine the average income for all Americans in the population. In terms of research, a sample is a collection of individuals, things, or things that are taken for measurement from a wider population.
To ensure that the findings from the research sample can be applied to the population as a whole, the sample should be representative of the population. 100 trees that were examined are the sample.
That's because they examined all 100 and discovered that 24 had damage, which means that they took 100 samples from the total number of trees in the forest.
The findings may exaggerate the total extent of the damage to the trees since trees close to the road may have sustained more damage than those farther away from it.
Therefore, Option D is correct.
Learn more about sample from here:
https://brainly.com/question/13287171
#SPJ2
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Answer:
um.... 17??????????????????
Answer:
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Step-by-step explanation:BHDHEJKNHRGHRFYRHDHNHNEBFDYHFBVUUUFHECHFHVYGDFRFHRHFFRUFYYRFFRYFYFYRFREYRYFGFWYBGT
Suppose a robot is at the corner of a rectangular arena and needs to reach the diagonally opposite corner. If the length of the arena is 105 meters, and the width is 68 meters, find the distance that the robot needs to travel. Round your answer to the nearest whole meter.
Answer:
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Jodi's best score on a video game is 50 points. Mark's best score on the game is 1.5 times as much as Jodi's best score. How many points did Mark score on the video game? Mark's best score on the game is points. Virginia's best score is only 0.3 times Jodi's best score. How many points did Virginia score on the game? Virginia's best score is points.
Answer:
a) Mark's best score on the game is 75 points.
b) Virginia's best score is 15 points.
Step-by-step explanation:
Jodi's best score on a video game is 50 points.
a) Mark's best score on the game is 1.5 times as much as Jodi's best score. How many points did Mark score on the video game?
Mark's best score on the game is calculated as:
1.5 times as much as Jodi.
Jodi's best score = 50 points
= 1.5 × 50 points
= 75 points
b) Virginia's best score is only 0.3 times Jodi's best score. How many points did Virginia score on the game? Virginia's best score is points.
Virginia's best score on the game is calculated as:
0.3 times as much as Jodi.
Jodi's best score = 50 points
= 0.3 × 50 points
= 15 points
Virginia's best score is 15 points.
23. What is the value of x?
Answer:
9
Step-by-step explanation:
If PQ || to BC
Then by BASIC PROPORTIONALITY THEOREM:
[tex] \frac{8}{40} = \frac{x}{45} \\ \\ \frac{1}{5} = \frac{x}{45} \\ \\ x = \frac{45}{5} \\ \\ x = 9[/tex]
A room has a length of 5·25m and a width of 3·68m. What is the perimeter of the room?
Answer:
Perimeter = 17.86 m
Step-by-step explanation:
Perimeter = 2(L + W) = 2(5.25 + 3.68) = 17.86 m
Which expression represents the product of 4 and the difference of 17 and 9 which one is correct 4+(17+9) or 4+(17-9) or 4 times (17+9) 4 times ( 17-9)
Answer:
the answer is 4 × (17 - 9)
difference = 17 - 9
product 4 times
The radius of each semicircle in the composite figure is x units. The width of the rectangular part of the figure is equal to the radius.
Which expression represents the distance around the composite figure
A. 6x+2πx
B. 6x +4πx
C. 10x +2πx
D. 10x +4πx
Answer:
10x + 2pix
Step-by-step explanation:
Yohanne and Mikaela completed a 1-km race. Yohanne finished the race 1 minute after Mikaela. If the speed of Mikaela is 50 meters per minute faster than Yohanne's speed, how many minutes did it take Yohanne to finish the race?
Answer: 5 min
Step-by-step explanation:
Given
Length of the race track [tex]l=1\ km\ or\ 1000\ m[/tex]
Suppose the speed of Yohanne is [tex]v_y=x\ m/min.[/tex]
then Mikaela speed is [tex]v_m=50+x[/tex]
the difference in the finishing time is 1 minute i.e.
[tex]\Rightarrow \dfrac{1000}{x}-\dfrac{1000}{50+x}=1\\\\\Rightarrow \dfrac{50+x-x}{x(50+x)}=\dfrac{1}{1000}\\\\\Rightarrow \dfrac{50}{x(50+x)}=\dfrac{1}{1000}\\\\\Rightarrow x^2+50x-50,000=0\\\\\Rightarrow x^2+250x-200x-50,000=0\\\\\Rightarrow (x+250)(x-200)=0\\\\\Rightarrow x=200\ m/min.[/tex]
Time taken by Yohanne is
[tex]\Rightarrow t=\frac{1000}{200}=5\ min[/tex]
What is the y-intercept of a line through (2, 7) and perpendicular to the
graph of y=-3/2x+6
Answer:
it is y=-3/2x+6 and then you subtract it by 2 and then add 7 and then u get 49
Step-by-step explanation:
5) A theatre can be rented for different hours. The cost is $100 for deposit and $200 per hour. Write a function rule to find the total cost of renting the theatre for 'n' hours. Find the total cost if you rented the theatre for 4 hours. IT : hours (h)
Answer:
Step-by-step explanation:
Since the cost is $100 for deposit and $200 per hour, the function rule to find the total cost of renting the theatre for 'n' hours will be:
= 100 + 200(n)
= 100 + 200n
The total cost if you rented the theatre for 4 hours will be gotten by replacing n with 4. This will be:
= 100 + 200n
= 100 + 200(4)
= 100 + 800
= $900
The perimeter of a rectangle is 120cm. The ratio of the length to the with is 3 to 2. What is the length of the longer side of the rectangle?
(WILL GIVE BRAINLIST) The number of phone calls received by the complaint department of a small company over a five day period is as follows:
28, 26, 33, 41, 47
Find the mean deviation for this data.
Select one:
8.9
7.2
7.9
62.8
Answer:
im not shure which one it is
Step-by-step explanation:
5) A manufacturer produces paperweights composed of two congruent triangles as shown.
The length of the hypotenuse is
A. 6
B. 8
C. 10
The total length of the base of the paperweight is
A. 6
B. 8
C. 10
Answer:
Step-by-step explanation:
Since, both the triangles of the paperweight are congruent,
Their corresponding sides will be congruent.
3x + 2.5 = 4
3x = 4 - 2.5
x = 0.5
Similarly, 2y - 5 = 3x + y
2y - y = 3x + 5
y = 3x + 5
y = 3(0.5) + 5
y = 1.5 + 5
y = 6.5
Total length of the hypotenuse = 2y - 5
= 2(6.5) - 5
= 13 - 5
= 8
Option B is the answer.
Total length of the base = (3x + 2.5) + 4
= 3x + 6.5
= 3(0.5) + 6.5
= 8
Option B is the answer.
would the answer be 36?
Answer:
No, it would be 72
Step-by-step explanation:
In similar triangles, the sides are different but the angles are the same. You still had a great guess though :)
Pls give brainliest
Help right answer get brainliest
Answer:
all i know is 6 is 72/30 because I'm busy right now sorry that I don't have the simplest form of answer
Answer:
6. 2 2/5
7. 66/145
8. 1 1/5
Step-by-step explanation:
??? Help me with my work pls
Answer:
2. 10 + 5 x 2 $20
3. 10 + 5 x 3 $25
4. 10 + 5 x 4 $30
Hope that helps!
Step-by-step explanation:
Answer:
2) 10+5x2= 20
3) 10+5x3= 25
4) 10+5x4= 30
Step-by-step explanation:
just add 5 every time