ABCD is a quadrilateral.
Sides are extended as shown.
Show that x = 100°
Answers
Solution :
Given :
ABCD is a quadrilateral.
Angle ADC = 90 degree
Angle DCB = 120 degree
Now angle DAB = 70 degree (alternate angles)
We know that the interior angles of a quadrilateral is 360 degrees.
So,
∠ DAB + ∠ ABC + ∠ BCD + ∠ CDA = 360°
70° + ∠ ABC + 120° + 90 ° = 360°
∠ ABC = 360° - (70° + 120° + 90°)
∠ ABC = 360° - 280°
∠ ABC = 80°
Now ∠ x = 180° - ∠ ABC (Line AB extended is 180° )
= 180° - 80°
= 100°
Hence proved.
Related Questions
Evaluate: - 5 - 3 3/4 - 1/6 + 1/6 + 3 3/4 + 10
A 15
B 10 1/4
C 5
D -5 1/12
Answers
Answer:
the answer is c
Step-by-step explanation:
i need a job please help lol
Answers
Answer:
just say something inspiring and formal
Solve for X. rx-s = t
Answers
Answer: x=t/r+s/r
How to: Isolate the variable by dividing each side by factors that don't contain the variable.
Have a great day and stay safe !
Answer:
[tex]solve \: \: for \: \: x \\ rx - s = t \\ rx = t + s \\ x = \frac{t + s}{r} [/tex]
Choose the product of (3x2 + 7)(6x2 – 4x + 5).
A. 63x2 – 28x + 35
B. 9x4 – 7x3 + 51x2 – 11x + 12
C. 18x4 – 12x3 + 42x2 – 28x + 35
D. 18x4 – 12x3 + 57x2 – 28x + 35
Answers
------------------------
ps, have a great day! ^^
Please help me its 2:24am and im really tired but im trynna get this done so please someone help
Answers
THE CORRECT ANSWER IS 57 CM³!
help me plsssssssssssss
Answers
Answer:
do you still need help
Step-by-step explanation:
???
This probability distribution shows the
typical grade distribution for a Geometry
course with 35 students.
Grade
A
B
с
DF
Frequency 5
10
15
3
2
Find the probability that a student earns a
grade of B.
p = [?]
Enter a decimal rounded to the nearest hundredth.
Answers
Answer:
0.29
Step-by-step explanation:
Total grade frequency = (5 + 10 + 15 + 3 + 2) = 35
Frequency of grade B = 10
Probability = required outcome / Total possible outcomes
Required outcome = frequency of grade B = 10
Total possible outcomes = total grade frequency = 35
P(B) = 10 / 35
P(B) = 0.2857
P(B) = 0.29
6x and _____ are like terms.
Answers
Answer:
2(3x) or 3x+3x could work
A secretary works a 35-hour week for which she is paid $262.50. If in a particular week she works 6 hours overtime on Saturdays which is paid for at time - and - a - half and 4 hours overtime on Sunday which is paid for a double time. calculate her gross wage for that week
no links please
Answers
Answer:
$390
Step-by-step explanation:
262.50/35 = 7.5 per hour during normal week
Saturdays 11.25 per hour
Sundays 15 per hour
6x11.25 = 67.5
4x15=60
262.50 +67.5 +60 = 390
someone PLEASE HELP!!!
answer explanation = brainliest, 5 star rating
A cube is dilated by a factor of 3.5.
The volume of the resulting cube is ___ times the volume of the original cube.
Answers
Answer:
A cube is dilated by a factor of 3.5.
The volume of the resulting cube is _3.5³=42.875__ times the volume of the original cube.
Answer:
the volume of cube diladet
9375_______
Please help. Thank you....
Answers
Hopefully this helps
agregenme o baneo la preguntta
Answers
Answer:
translate; Assault me or ban the question
Step-by-step explanation:
Which graph represents equation (x-4)^2+(y+2)=16
F
H
G
I
Answers
Why is this? Recall that (x-h)^2+(y-k)^2 = r^2 is the general template of a circle. The center being (h,k) and the radius is r.
For the equation (x-4)^2+(y+2)^2 = 16, we have a center of (4,-2) and radius 4. Note that 4^2 = 16.
The graph of choice G shows these properties so that's why it's the answer. Keep in mind that each tickmark represents 2 units. Choice I is close since the center is correct but the radius is too small.
True or false? f (x) = 2 · (1/5)^x represents an exponential function growth.
Answers
Hi there!
[tex]\large\boxed{\text{False.}}[/tex]
f(x) = 2(1/5)ˣ
Recall the form of an exponential function:
f(x) = a(b)ˣ where:
a = initial value
b = rate of decay/growth
If b > 1, the function is undergoing exponential growth. If b < 1, then the function is undergoing exponential decay.
1/5 < 1, so the function is undergoing exponential decay, not growth.
What is the circumference of the circle? d=44in
Answers
Answer:
138.23 in
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
138.16
Step-by-step explanation:
Diameter times pi gives you circumference. I used 3.14
A manager at a shipping company will purchase boxes in the shape of right rectangular prisms. He wants the volume of each box to be exactly 98 cubic feet. Which figure shows a box with the dimensions, in feet (ft), that the manager will purchase?
You have 4 options... which one do you think is correct
winner gets brainlest!! along with 50 points
Answers
Answer:
the first one
Step-by-step explanation:
To find the answer we want to find the volume of each rectangular prism
Which ever prism has an exact volume of 98 is the correct answer
( note that volume of a rectangular prism = length times width times height )
For the first answer choice
4 * 3.5 * 7 = 98
We get an outcome of 98, which means that the first one could possibly be the correct answer however lets find the volume of the rest of the prisms just to be safe.
For the second one
6.25 * 7 * 2 = 87.5
87.5 ≠ 98 therefore the second choice is not correct
For the third one
3 * 6.5 * 5 = 97.5
97.5 ≠ 98 therefore the third choice is not correct
For the fourth one
7.5 * 1 * 14 = 105
105 ≠ 98 therefore the fourth choice is not correct
So we can conclude that the first answer choice is correct
PLEASEEEEEEEEE HELPPPPPPPPP PLEASEEEEEE IM BEGGING SOMEONE PLEASEEEEE
Answers
84848488ti
Step-by-step explanation:
................
Answer:
84848488 is the answer
Someone that can help ?!?!
Answers
Answer:
D
Step-by-step explanation:
just by my experience and the look of it, but its super easy to put these in "MathPapa Algebra Calculator", and check. I use it for everything!
A pie chart is being made with four sectors. Each sector will be a certain percentage of the total area. The table below shows the size of each sector as a percentage of the total area. Sector 1 = 5%
Sector 2 =30%
Sector 3 = 50%
Sector 4 = 15%
What will be the measure of the central angle of sector 4?
A. 27°
B. 54°
C. 5.4°
D. 57°
Answers
Answer:
B. 54°
Step-by-step explanation:
There are 360° in a circle and sector 4 consists of 15% of it.
We just have to multiply the 2 numbers.
15% = 0.15
0.15(360) = 54
The function f(x) is graphed below. what is f(1)?
Answers
Answer:
f(1) = - 3
Step-by-step explanation:
Locate x = 1 on the x - axis, then go vertically down to (1, - 3 ) , then
f(1) = - 3
Evelyn has dance class every Saturday. It lasts 1 hour and 40 minutes and is over at 12:45 P.M.
At what time does Evelyn's dance class begin?
Evelyn's dance class begins at
:
?
Answers
Answer:
Evelyn's dance class on Saturday starts at 11:05 A.M.
Step-by-step explanation:
I know this because if her class takes an hour and 40 minutes you would subtract the hour and 40 minutes from 12:45 so you could do 12 - 1 which equals 11. Then you would do 45 - 40 which equals 5. And last you would put the new times together so it would be, 11:05. Her dance class starts at 11:05 A.M.
Explain why 4x+1 is equal to 2x+12
Answers
4x+1=2x+12
4x+1-2x=12-1
2x=11
x= 11/2
simplified version is x= 5.5
4x+1=2x+12
So you have to move x to the same side means you have to switch the side for 1 and 2x (if you you are changing the side the value will be negative when it is switched but if the value is positive it will be negative when you switch the side)
4x-2x=-1+12
Now you have to simplify it.
2x=11
Now this is the last step. You need to change the value “2” to the another side. Since 2 is multiplying with x so when you switch the side it will divide with 11.
So, x=11/-2
It’s negative 2 because it switched the side.
Final answer is: x= -5.5
Now find the value for y.
Since you have found the value of x you can calculate the value of y: y=4(5.5)+1=23
y=2(5.5)+12=23
Now as you can see here that the value of y for both equations is the same so that’s why 4x+1 is equal to 2x+12
I hope you understand my explanations.
Soshi’s rhombus has a base of 12 in and a height of 10 in. Jack’s rhombus has base and height measures that are double those of Soshi’s rhombus. Compare the area of Jack’s rhombus to the area of Soshi’s rhombus. Explain.
Answers
Answer:
360
Step-by-step explanation:
2. Liam and Sam shared a chocolate bar Liam ate 3/5
and Sam ate 4/ 10 Who ate more? How much
more?
Answers
Explanation:
first convert one of the fractions to the same denominator as the other one. personally, I chose to simplify 4/10 to 2/5. this leaves us with a common denominator of 5, and it makes the problem much easier/simpler to look at.
3/5 - 2/5 = 1/5
Liam ate 1/5 more chocolate than Sam
PLS HELP
What is the value of x ?
A. 42
B. 43
C. 84
D. 86
Answers
Answer:
B
Step-by-step explanation:
x+x+94 = 180 (sum of angle of triangle)
2x+94 = 180
2x = 180-94
2x = 86
x = 86÷2
Therefore x = 43
9c+1 = 10
What is c?
Answers
Answer:
c=1
Step-by-step explanation:
9c+1 = 10
Subtract 1 from each side
9c+1-1=10-1
9c = 9
Divide by 9
9c/9 = 9/9
c = 1
Question 38
Two cuboids are congruent. Which statement about their properties
a.Each face has the same area
b.One is larger than the other
c.They have the same volume
d.The sum of the angles is 360°
Answers
Adam wants to compare the fractions and He wants to order them from least to greatest and rewrite them so they all have the same denominator. Explain how Adam can rewrite the fractions.
Answers
Answer:
[tex]\frac{1}{6},\ \frac{3}{12},\ \frac{1}{3}[/tex]
Step-by-step explanation:
Given
The fractions are:
[tex]\frac{3}{12},\ \frac{1}{6},\ \frac{1}{3}[/tex]
Required
How the fractions can be rewritten
The fractions can be rewritten by taking the LCM of the denominators.
The [tex]LCM[/tex] of [tex]12; 6\ and\ 3[/tex] is [tex]12[/tex]
So, we have:
[tex]\frac{3}{12},\ \frac{2*1}{12},\ \frac{4*1}{12}[/tex]
Simplify the numerators
[tex]\frac{3}{12},\ \frac{2}{12},\ \frac{4}{12}[/tex]
Now, the fractions can be ordered based on the numerators
[tex]\frac{2}{12},\ \frac{3}{12},\ \frac{4}{12}[/tex]
Return to original form
[tex]\frac{1}{6},\ \frac{3}{12},\ \frac{1}{3}[/tex]
25/24 as a decimal and round it to the nearest hundredth
Answers
Answer:
1.04
Step-by-step explanation:
25/24=1.04166667
round: 1.04
PLEASE ANSWER CORRECTLY NO WRONG ANSWERS I BEG! 90 POINTS HERE Here is a histogram that shows some dog weights in pounds. Refer to the histogram too.
Use the histogram to answer the following questions.
How many dogs weigh at least 100 pounds?
How many dogs weigh exactly 70 pounds?
How many dogs weigh at least 120 and less than 160 pounds?
How much does the heaviest dog at the show weigh?
What would you consider a typical weight for a dog at this dog show? Explain your reasoning.
Discuss with a partner:
If you used the dot plot to answer the same five questions you just answered, how would your answers be different?
How are the histogram and the dot plot alike? How are they different?
Answers
Answer:
Exactly 22 dogs weigh at least 100 pounds
Exactly 6 dogs weigh 70 pounds
Exactly 9 dogs weigh at least 120 and less than 160 pounds
The heaviest dog at the show weighs 170 pounds
At this dog show a typical weight for a dog would be around 100 - 120