Answers
Answer:
angle 1 = 124
angle 2 = 56
angle 3 = 124
angle 4 = 56
Step-by-step explanation:
This problem is a bit like a puzzle. To make notation easier I'm going to do this:
angle 1 = a
angle 2 = b
angle 3 = c
angle 4 = d
Now, let's start with what we know from the image.
All angles added together form a circle or 360 degrees
a + b + c + d = 360
In the same regard a + d = 180, and b + c = 180
Also,
a = c
and
b = d
It also tells us angle 4 is 25 degrees greater than one fourth of angle 1. Which is written as.
d = 1/4(a) + 25
If we look at all the equations we have, we can see that two of the equations have two of the same variables:
a + d = 180
and
d = 1/4(a) + 25
Using substitution we can take the second equation substitute it for d in the first equation giving us:
a + (1/4(a) + 25) = 180
Now we just solve for a
[tex]\frac{4}{4} a+ \frac{1}{4} a + 25 = 180\\\\\frac{5}{4}a + 25 = 180 \\\\(\frac{5}{4}a + 25) - 25 = (180) -25\\\\\frac{5}{4} a = 155\\\\\frac{5}{4} a * \frac{4}{5} = 155 * \frac{4}{5}\\\\a = 124[/tex]
Therefore a, or angle 1, is 124
Since a = c, then c, or angle 3, is also 124
Since a + d = 180 and a = 124 then
d = 180 -124
d = 56
So, d, or angle 4, is 56
And because b = d then b, or angle 2, is also 56
a = 124
b = 56
c = 124
d = 56
For extra measure, we can check our work by using the first equation
a + b + c + d = 360
124 + 56 + 124 + 56 = 360
Related Questions
solve eqn by factorisation method
2x squre-50x=0
Answers
Answer:
0 or 25
Step-by-step explanation:
To solve for x
we first factor
2x^2-50x=0
2x(x-25)=0
To make this equation 0 x has to be 0 or 25
If vector v = ( 9 ) find -v and 3v
-6
Answers
3V-6=3x9-6=27-6=21
What is the lyrics for its good to be alive by among us?
Answers
Answer:
HEHEHEHEHEH
I've been waiting for this moment
Feels good to be alive right about now
Good, good, good, good to be alive right about now
Good, good, good, good to be alive right about now
Hallelujah, let that bass line move ya, say hey
Step-by-step explanation:
Have fun
Find the exact value of cos 135° sin15°.
Answers
Answer:
its cos 50
Step-by-step explanation:
amen
please help I give brainliest
I don't want to see link if I do you will be reported
Answers
Answer:
c(maybe?)
Step-by-step explanation:
dont give me a brainliest.
Please help me.
Please simplify it and group it in like terms.
3a+6+2a-4+a-2=
Answers
Answer:
6a
Step-by-step explanation:
Answer:
6a
Step-by-step explanation:
3a+2a+a= 6a
6-4-2=0
6a+0=6a
Use elimination to solve for x and y:
9x - 2y = 46
x + 2y = 14
Answers
Answer:
(6, 4 )
Step-by-step explanation:
Given the 2 equations
9x - 2y = 46 → (1)
x + 2y = 14 → (2)
Adding the 2 equations term by term will eliminate the y- term
10x + 0 = 60
10x = 60 ( divide both sides by 10 )
x = 6
Substitute x = 6 into either of the 2 equations and solve for y
Substituting into (2)
6 + 2y = 14 ( subtract 6 from both sides )
2y = 8 ( divide both sides by 2 )
y = 4
solution is (6, 4 )
The equation of line s is y = __13 x − 3. The equation of line t is y = –x + 5. The equations of lines s and t form a system of equations. The solution to the system of equations is located at point P. Draw a line to represent line s and another line to represent line t. Then plot point P.
Answers
Answer:
They cross at point (0.571, 4.429)
Step-by-step explanation:
I just did it and got it correct
Please mark me Brainliest
please give answers to 13,14,15,16 DUE TODAY .
ILL GIVE BRAINLIEST
Answers
Answer:
13.) 237 millimeters
14.) 87.5 feet (87 feet 6 inches)
15.) 28
16.) 121 degrees
Step-by-step explanation:
16.) The "arc length" formula is s = rФ, where Ф represents the central angle in radians (not degrees).
Here r = 18 ft and s = 38 ft, and so:
38 ft
s = rФ becomes Ф = ------------ = 2.111 radians
18 ft
which, in degrees, is:
2.111 rad 180 deg
------------- * --------------- = 121 degrees, to the nearest degree
1 3.142
9 Marty conducted a survey in his first period class to determine student preferences for music. Out of 25 students, 14 like hip-hop music best. There are 300 students in Marty's school. Based on the survey, how many students in the school like hip- hop music best? A. 50 students B. 132 students C. 168 students D. 261 students
Answers
Answer:
C
Step-by-step explanation:
14/25=0.56 0.56x300=168
Based on the survey,
168 students like hip-hop music.
What is ratio?The ratio is a numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.
Given:
Marty conducted a survey in his first period class to determine student preferences for music.
Out of 25 students, 14 like hip-hop music best.
That means, the ratio is 14/25 = 0.56.
There are 300 students in Marty's school.
Based on the survey,
the number of students = 300 x 0.56 = 168 students like hip-hop music.
Therefore, 168 students like hip-hop music.
To learn more about the ratio;
https://brainly.com/question/13419413
#SPJ6
Solve for x.
20
8
4x+3
38
Answers
Answer:
x = 18
Step-by-step explanation:
The "Angle Bisector" Theorem says that an angle bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle.
So, 20/8 = (4x + 3)/30
8(4x + 3) = 20(30)
32x + 24 = 600
32x = 576
x = 18
last one
Mosquitoes are just dirty used needles that can fly
Answers
Since 2005, the amount of money spent at restaurants in a certain country has increased at a rate of 5% each year. In 2004, about 5430 billion was spent at
restaurants. If the trend continues, about how much will be spent at restaurants in 2014?
About 5 billion will be spent at restaurants in 2014 if the trend continues
(Round to the nearest whole number as needed.)
Answers
Answer:
8845 billion
Step-by-step explanation:
Since exponential growth is given by;
P = a( 1 + r)^t
Where;
P = amount spent after t years
r = exponential growth rate
t = time interval
2004 - 2014 is an interval of 10 years. If 5430 billion was spent in 2004 and the growth rate has been 5% each year, then;
P= 5430 * 10^9(1 + 5/100)^10
P = 8845 * 10^9
P = 8845 billion
A girl is putting jars of jam into boxes.She puts 8 jars into each box,and she has a total of 144 jars.She wants to know how many boxes she needs how much boxes does she need
Answers
Answer:
18
Step-by-step explanation:
she needs 18 boxes divide 144 by 8 then u get ur answer
Please help me with the questions please ASAP ASAP please please ASAP please please help please I’m begging please please
Answers
Answer:
3/2
Step-by-step explanation:
The ratio of perimeters of similar polygons is the same as the ratio of the lengths of corresponding sides.
WX/AB = 12/8 = 3/2
What is the other measure of the other acute angle? Pls explain how you got your answer !
Answers
Answer:
[tex]65^{o}[/tex]
Step-by-step explanation:
Angles in a triangle add up to 180
An acute angle is any angle smaller than 90
Since it is a right angle triangle, one of the angles is a right angle and therefore 90
So 180 - 90 - 25 = 65
PLEASE HELP AND SHOW AN EXPLANATION ITS DUE IN 30 MINUTES!! Donna wants to create a stained glass window composed of one quarter circle, two semicircles, and one parallelogram. Which measurement is closest to the amount of stained glass in square inches Donna will
need to create the window?
Answers
A bag contains 12 red checkers and 12 black checkers. 1/randomly drawing a red checker 2/randomly drawing a red or black checker
Answers
Answer:
(I suppose that we want to find the probability of first randomly drawing a red checker and after that randomly drawing a black checker)
We know that we have:
12 red checkers
12 black checkers.
A total of 24 checkers.
All of them are in a bag, and all of them have the same probability of being drawn.
Then the probability of randomly drawing a red checkers is equal to the quotient between the number of red checkers (12) and the total number of checkers (24)
p = 12/24 = 1/2
And the probability of now drawing a black checkers is calculated in the same way, as the quotient between the number of black checkers (12) and the total number of checkers (23 this time, because we have already drawn one)
q = 12/23
The joint probability is equal to the product between the two individual probabilities:
P = p*q = (1/2)*(12/23) = 0.261
T
A race was 993 meters. If 28 people ran in the marathon how many meters would they
have run total?
Answers
Answer:
27,804
Step-by-step explanation:
28x993= 27,804
Find the distance from (-6, 1) to (-3, 5).
Answers
Answer:
9.8 units
Step-by-step explanation:
distance = sqrt (x2 - x1)^2 + ( y2 - y1)^2
sqrt (-3 - (-6))^2 + (5 - 1)^2
sqrt (9)^2 + (4)^2
sqrt 81 + 16
sqrt 97
9.848857802
I got correct on this question but I wrote some of the numbers in a different order, is it okay if I wrote it in a different order on every question similar like this?
Answers
Answer:
yes and no....It depends if u got the answer correct then u got ur mark but if the teacher expects your answer a certain way then u might lose maybe just 1 mark but dont stress it looks good and u should get full marks
Hey you! Would you like to promote my small pastry business??
Currently we are only selling this: UR MOM (contains: Eggs, Wheat, Milk, Extra Nuts, etc” $19.99
We take cashapp, venmo, PayPal and other types of payments
Answers
Answer: nice
Step-by-step explanation:
Sounds like a Scam though ngl
Luis's car used 4/5
of a gallon to travel 29 miles. At what rate does the car use gas, in miles per gallon?
Answers
Answer:
36.25 miles per gallon
Step-by-step explanation:
4/5 = .8
29/.8 = x/1
cross-multiply:
.8x = 29
x = 36.25
Jenna earns $8.75 per hour working at the mall. If Jenna worked 25 1/5 hours last week, how much did she earn before taxes were taken out?
Answers
Answer:
$220.5
Step-by-step explanation:
To answer this simply multiply the number of hours (25.2) times the hourly wage 8.75 and you'll get the answer
25.2 times 8.75 equals 220.5
the same
2. When graphing a system of equations with no solution, the y-intercept of the lines would be?
Answers
Answer:
not telling u, imbecil
Step-by-step explanation:
hahhahahahah
An airplane is at 32000 feet above sea level and the seeds at an average rate of 1000 feet per minute how many minutes will it take for the airplane to land at an airport 3000 feet above sea level
Answers
Answer:
29 minutes
Step-by-step explanation:
Let
x = number of minutes
y = the height of the airplane above sea level in feet
y = 32,000 - 1000x
y = 3,000
Therefore,
y = 32,000 - 1000x
3,000 = 32,000 - 1000x
3,000 - 32,000 = -1000x
-29,000 = -1,000x
x = -29,000 / -1,000
x = 29 minutes
it will take 29 minutes for the airplane to land at an airport 3000 feet above sea level
Andrea and Tim are picking apples. Andrea picks 4 à pounds of apples. Tim picks
33 pounds of apples. How many total pounds of apples did Andrea and Tim
pick?
Answers
Answer:
37 pounds of apples.
Step-by-step explanation:
you add together the amount of apples that both people have gathered, which in this case would be 33+4 which makes 37, so your answer would be 37 apples.
The following are the temperatures in °C for the first 8 days of January:
-2.5, 0, 4, 4.5, -0.5, -1, 5, 3
What is the median temperature for those 8 days?
Give your answer as a decimal.
help i need it ASAP!!!
Answers
Answer:
1.5 °C
Step-by-step explanation:
-2.5, -1, -0.5, 0, 3, 4, 4.5, 5
median is the middle number in the list of numbers
Can someone please help
Answers
okay sorry
Step-by-step explanation:
i just wanted point
A cylinder has a height of 16 meters and a diameter of 26 meters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answers
Answer:
V= 5224.96
Step-by-step explanation:
To find the volume for a cylinder, you need to use the formula
V=(pi)r^2h.
The question gives is the diameter. The radius is half of the diameter, so you would divide by 2.
16/2 = 8.
Now we plug in the numbers and solve.
V= (pi) 8^2(26)
V= (pi)(64)(26)
V=(pi)(1664)
V= 5224.96