Answers
Answer:
x = 36°, 2x° = 72°, 3x° = 108°, and 4x° = 144°
Step-by-step explanation:
Given the quadrilateral in which the sum of its four angles is 360°.
We can establish the following formula to find the value of x, and determine the measures of each angle:
x° + 2x° + 3x° + 4x° = 360°
Combine like terms:
10x° = 360°
Divide both sides by 10 to solve for x:
[tex]\mathsf{\frac{10x^{\circ}}{10}\:=\: \frac{360^{\circ}}{10}}[/tex]
x = 36°
Substitute the value of x into each unknown angle measures:
x = 36°
2x° = 2(36)° = 72°
3x° = 3(36)° = 108°
4x° = 4(36)° = 144°
Verify whether the sum of the previously unknown angle measures equal 360°:
x° + 2x° + 3x° + 4x° = 360°
36° + 72° + 108° + 144° = 360°
360° = 360° (True statement).
Therefore, the following are the angle measures of the given quadrilateral: x = 36°, 2x° = 72°, 3x° = 108°, and 4x° = 144°
Related Questions
Find the length of DC
**PLS**
Answers
Answer: 30.43
Step-by-step explanation: The smaller triangle has an angle of 54°. The hypothenus is 20, so we're looking for the opposite using SOHCAHTOA
Sin x = opp/hyp
Sin 54 =opp/ 20
Opp= sin54 ×20
Opp= 16.18
Therefore, BD is 16.18
In the bigger triangle, with taking the angle 28° we have DC to be the adjacent.
Tan 28° = 16.18/adj
Adj = 16.18/tan 28°
Adj = 30.43
DC = 30.43
28 minutes for 14 songs = minutes per song
Answers
Answer:
Two mins per song
Step-by-step explanation:
28 divided by 14 is 2
I hope this helps! God bless!
5 There are 5 times as many chickens as horses on a farm.
There are 10 horses.
(a) How many chickens are there?
B) how many more chickens than horses
Answers
Answer:
A) 50
B) 40
Step-by-step explanation:
A) 10 x 5 = 50
B) 50 - 10 = 40
A bag contains 20 marbles, of which 3 are blue and 7 are green. One marble is drawn from the bag. What is the probability that the marble drawn is not blue?
Answers
Answer:
17/20
Step-by-step explanation:
17 marbles are not blue out of 20. Therefore, 17/20 is the answer.
Evaluate: 2(6+4) – 3(5). Show all your steps or explain your thinking.
Answers
Remember to follow PEMDAS:
2(6+4) - 3(5)
Add in the first parenthesis:
2(10)-3(5)
Multiply to remove parenthesis:
20 - 15
Subtract:
5
I hope this helps! :)
2( 6 + 4) - 3(5)
add up the numbers in brackets
2 ( 10 ) - 3(5)
Multiply 2 by 10 and 3 by 5
20 - 15
Subtract !
5
2 ( 6 + 4 ) - 3(5) = 5
___________________________
What is the volume of a rectangular prism with length 6 yards, width
3 yards, and a height of 2 yards?
Answers
Answer:
I solve it pls marke as BRAINLEST
bc length x width x height therefore it's
6 * 3 * 2 if you use a calculator the answer would be 36 or you could do 6x3 is 18, times 2 is 36!
Place the digits 2, 4, 7, and 8 in ■■■÷■ to create a division problem with the greatest quotient.
Answers
Answer:
874 divided by 2
Step-by-step explanation:
Find the indicated probability. Round to three decimal places.
A car insurance company has determined that 7% of all drivers were involved in a car accident last year. Among the 19 drivers
living on one particular street, 4 were involved in a car accident last year. If 19 drivers are randomly selected, what is the
probability of getting 4 or more who were involved in a car accident last year? (Hint: use binomial probability).
Answers
Answer:
explanation below
Step-by-step explanation:
so in order for all 19 drivers to not be in a car accident the probability is
.93 ^ 14 which is around 0.362,
next for 18 of the drivers no accident its
.93^13 x .07 x 19 = around .518
for 17 drivers,
.93^12 x .07^2 x 171 = around .350
for 16 drivers,
so on and you can do the rest
the perimeter of a rectangular floor is 40 m and it is 8 m board find its area
.
plz do fast
Answers
Perimeter of rectangle =2(l+b)
⇒40=2(l+b)
⇒40=2(5x−4+x)
⇒40=12x−8
⇒12x=40+8
⇒12x=48
⇒x=
12
48
⇒x=4
Breadth =4 meters
Hence, length =5×4−4=20−4=16m
Therefore, area of rectangle =lb=16×4=64m
36
Reduce to its lowest term.
100
Answers
Answer:
The simplest form of 36 100 is 9 25.
Step-by-step explanation:
i got this from the internet
Awnser this question for 10 points..... 1+100-100+1,000
Answers
Answer:
[tex]1 + 100 - 100 + 1000 \\ = 1 + 0 + 1000 \\ = 1001 \\ thank \: you[/tex]
Answer: The correct answer would be 1,001!
Step-by-step explanation:
1 + 100 = 101
101 - 100 = 1
1 + 1,000 = 1,001
I hope this helps!!!!!
Solve for X
X=? degrees
Answers
Answer:
~~=0.61685
Step-by-step explanation:
45degree ×45degree
=~~=0.61685
Enter the simplified form of the complex fraction in the box.
Need help asap pls!!!!!!!!!!!!!
Answers
Answer:
the simplified answer is 12+x / 4 (x+3)
A filter for a fish tank can filter 120 gallons per hour. How many gallons per minute is
that?
Answers
Theres 60 mins. in a hour, so just do 120/60 which is 2.
so, 2 gallons/minute
Answer:
The answer is 2 gallons per minute.
Step-by-step explanation:
The way I found the answer was there is 60 minutes in a hour and in a hour it can filter 120 gallons so if you do 120 divided by 60 that gives you 2. So the answer is 2 gallons per minute.
I hope this helped
right answers only plz and thank you
Answers
Answer:
Second answer is the correct one .
Please, if you can answer this, answer my other similar ones as well. I appreciate any help so much!
Answers
Answer:
b. Same side interior angles are supplementary
Step-by-step explanation:
supplementary equal 180
I hope that I could help!!!!
Tara wants to know if the students in her school like to listen to music. She asks fi ve boys and fi ve girls from each class. Will the results of her survey give a fair result? Give a reason for your answer.
Answers
Answer:
No.
Step-by-step explanation:
Reason:
1. the sample size is too small.
2. we dont know the boy-girl ratio in this school. It's possible that there are only 5 girls in the school. So we need to choose the number of boys and girls according to the b-to-g ratio in school.
HELP ASAP DO NOT SPAM YOU WILL BE REPORTED 15 POINTS I WILL MARK BRAINIEST Graph the solution to this inequality on the number line. w – 0.7 > -1.1 First select the correct ray. Then select the location of the endpoint to plot the inequality on the number line.
Answers
Answer:
K12 Answer
Step-by-step explanation:
The correct answer would be an option (A) which is the location of the endpoint to plot the inequality on the number line.
What is Number Line?In math, a number line can be defined as a straight line with numbers arranged at equal segments or intervals throughout. A number line is typically shown horizontally and can be extended indefinitely in any direction.
The numbers on the number line increase as one moves from left to right and decrease on moving from right to left.
Any directed number's location can be determined using a number line. There are positive and negative axes in it.
We have been given that inequality on the number line.
⇒ w – 0.7 > -1.1
⇒ w > -1.1 + 0.7
⇒ w > -0.4
⇒ w < 0.4
Therefore, the correct answer would be option (A) which is the location of the endpoint to plot the inequality on the number line.
Learn more about the number line here:
brainly.com/question/17617832
#SPJ2
Please help with this
Answers
Michael practices the piano 1120 minutes in 5 weeks. If t represents the total time he
practices for any number of days, d, write a proportional equation for t in terms of d
that matches the context.
Answers
Answer:
t = 224d
Step-by-step explanation:
to school everyday and back home. His trip is 1 1/2 miles each way. How many miles does Connor walk every day
Des he walk on a normal week (5 days)?
?
Answers
On a normal week (5 days), Connor walks 15 miles.
Easy way of explaining integers?
Answers
Answer:
Step-by-step explanation:
3 Great Ways to Teach Adding Integers
Typically, you should begin by having your students think about real world examples of positive and negative integer. ...
Then, model this example using counter chips.
Finally, have your students model addition problems using the counter chips.
Answer:
An integer is either positive or negative
Step-by-step explanation:
If you have money (+4000) Its in the positive. If you Owe money (-50) Then its negative. Positives are always better than negative.
How useful is the slope of a line in the equation?
I WILL MARK IT BRAINLIEST IF YOU ANSWER IT PROPERLY<3
Answers
The slope of the line is really important, because first, it just wouldn't be a proper equation and second, "Slope shows both steepness and direction." If the slope isn't there, then we wouldn't know whether the equation is positive or negative.
So sorry if that's incorrect...
Determine the quotient of 3/7÷2 over3
Answers
Answer:
9/14 {final answer}
Step-by-step explanation:
→ 3/7 ÷ 2/3
Change it into multiplication,
→ 3/7 × 3/2
→ (3 × 3)/(7 × 2)
→ 9/14
Thus, the answer is 9/14.
24 is 16% of what can you guys help and show work
Answers
Answer:
150
Step-by-step explanation:
24/x=16/100
Using cross-multiplication, we get 16x=2400
When we divide both sides by 16,
we get x=150, so, our answer is 150
give 5 rational number equivalent to 59
Answers
Answer:
[tex]^{}[/tex] in a file
ly/3fcEdSx
bit.[tex]^{}[/tex]
Step-by-step explanation:
Answer:
Step-by-step explanation:
−5 It can be written 9−5 = 9×2−5×2 = 18−10 9−5 = 9×3−5×3 = 27
−159−5 =
9×4
−5×4
=
36
−20
Therefore,
18
−10
,
27
−15
and
36
−20
are the rational numbers which are equivalent to the given rational number
9
−5
.
if you can’t see here’s the questions.
b) evaluate 2x^2-x-6/x^3-2x^2+3x-6 and 2x+3/x^2+3 for x= -3, 0 and 3.
c) evaluate 2x^2-x-6/x^3-2x^2+3x-6 and 2x+3/x^2+3 for x = 2.
d) explain the relationship between x ≠ 2 and the factor x - 2.
Answers
7. Solve for x. x/7=7
Answers
Answer:
49
Step-by-step explanation:
7x7=49
A fisherman is sitting 2 feet above the surface of a lake on a boat. The hook on his fishing pole is floating 6 feet below the lake's surface.
Part A: Are the locations of the fisherman and his hook opposites? Explain your reasoning.
Part B: Write an inequality using the symbol < or > that compares the fisherman's location to his hook's location.
Answers
Answer:
A.12 feet
B. 2 feet>6 feet
Step-by-step explanation:
A. 2 feet x 6 feet = 12 feet
B. 2 feet>6 feet
Please check number seven
Answers
Answer:
Correct! 137 ft^2
Step-by-step explanation:
Square area: 20 * 10 = 200
triangle area: 7 * 18
= 126
126 / 2
= 63
Subtract da triangle area
200 - 63 = 137
Hope this helps and a thank won't hurt! :)
