I Give Brainiest
In the figure above,AD intersects BE at C. If x=100 , what is the value of y?
A) 100
B) 60
C) 90
D) 80
Answers
Answer:
The answer is D), 80.
Step-by-step explanation:
All sides of a triangle must add up to 180°. So, if x = 100, angle BCA must equal 60° because 180 - 120 = 60. Since angles BCA and DCE are vertical angles, they are equal, making angles DCE 60°. All you need to do now is add up 60 + 40; that should give you 100. You also need to subtract that from 180 to get your final answer of y = 80°.
The solution is Option D.
The value of y from the two triangles is given by the equation y = 80°
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the first triangle be represented as ABC
Now , let the second triangle be represented as CDE
Now ,
The measure of angle x = 100°
The measure of ∠ACB = measure of ∠DCE ( vertically opposite angles )
And , for a triangle ∠A + ∠B + ∠C = 180°
So , The measure of ∠ACB = 180° - ( x° + 20° )
And , the measure of ∠DCE = 180° - ( y° + 40° )
Substituting the values in the equation , we get
180° - ( x° + 20° ) = 180° - ( y° + 40° )
when x = 100°
Subtracting 180° on both sides of the equation , we get
- ( x° + 20° ) = - ( y° + 40° )
( 100° + 20 ) = ( y° + 40° )
( y° + 40° ) = 120°
Subtracting 40° on both sides of the equation , we get
y = 80°
Hence , the measure of angle ∠y = 80°
To learn more about triangles click :
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Related Questions
The table shows the number of toys sold at Penelope's Toys and Games store in different years. Find the rate of change in the number of toys sold for each time interval. During which time interval did the number of toys sold increase at the greatest rate?
Answers
Answer:
Year - (1993 - 1995)
Step-by-step explanation:
Rate of change in the number of toys sold = [tex]\frac{\text{change in number of toys sold}}{\text{Time interval}}[/tex]
In the interval (1990 - 1993),
Rate of change in number of toys sold = [tex]\frac{32000-20000}{1993-1990}[/tex]
= [tex]\frac{12000}{3}[/tex]
= 4000
In the interval (1993 - 1995),
Rate of change = [tex]\frac{42000-32000}{1995-1993}[/tex]
= [tex]\frac{10000}{2}[/tex]
= 5000
In the interval (2000 - 1995),
Rate of change = [tex]\frac{57000-42000}{2000-1995}[/tex]
= [tex]\frac{15000}{5}[/tex]
= 3000
In the interval (2006 - 2000),
Rate of change = [tex]\frac{63000-57000}{2006-2000}[/tex]
= [tex]\frac{6000}{6}[/tex]
= 1000
Therefore, rate of change in the number of toys sold is greatest in the interval (1993 - 1995).
A recipe requires 8 cups of baking powder. You can only use 2/3 cups. How many 2/3 cups do you need for the recipe?
Answers
Answer:
Step-by-step explanation:
6/3 is 2 cups.
2/3 times 3 is 2.
12 of the 2/3 cups is your answer
That is my way of thinking. If you want the answer basically you divide 8 by 2/3. When you divide a fraction you multiply by its reciprocal.
8 3 =24 = 12
1 2 2 1
8 times 3/2 is equal to 24/2 or 12
Ronald Dairo is helping the local indus-
try in promoting papaya rosette. On the first
day, he produces 5,890 pieces of papaya
rosette, 7,020 pieces on the second day
8,150 pieces on the third day, and so on.
How many pieces of papaya rosette can Mr.
Dairo produce in 2 weeks?
As part of the annual Pagdihon Festival.
Answers
Answer:
Mr. Dairo can produce 20580 pieces of Papaya rosette in two weeks.
Step-by-step explanation:
Papaya rosette pieces on first day = 5890
Papaya rosette Pieces on second day = 7020
Papaya rosette Pieces of third day = 8150
Let
[tex]a_1 = 5890\\a_2 = 7020\\a_3 = 8150[/tex]
We can check if these numbers are part of a sequence.
In order to check, common difference will be found first.
[tex]d = a_2-a_1 = 7020-5890 = 1130\\d =a_3-a_2 = 8150-7020 = 1130[/tex]
It can be observed that the common difference is same. When the common difference is same, the sequence is said to be an arithmetic sequence.
The formula for arithmetic sequence is given by:
[tex]a_n = a_1+(n-1)d[/tex]
Putting the values
[tex]a_n = 5890+(n-1)(1130)\\a_n = 5890+1130n-1130\\a_n =4760+1130n[/tex]
The formula for nth term can be used to find any term. As we have to find the number of papaya rosette pieces after two weeks which means that we need to find the number of pieces on 14th day.
So,
[tex]a_{14}= 4760+1130(14)\\a_{14} = 4760+15820\\a_{14} = 20580[/tex]
Hence,
Mr. Dairo can produce 20580 pieces of Papaya rosette in two weeks.
1/4x - 5 = 3/4x - 12
Answers
Answer:
Solve for x
x=14
Step-by-step explanation:
by simplifying both sides of the equation, then isolating the variable.
helppppppppppppppp plssssssssssssssss
Answers
Answer:
hope his helps ...................
Catherine is at the Supermarket, and knows that she is 50 yards from her school. The map on her phone shows that the school is \large \frac{3}{4} inch from her current location. If Catherine's current location is 3 inches from home on the same map, how far is Catherine from her home? a 112.5 yards b 200 yards c 250.5 yards d 150 yards
Answers
Answer:
Answer: b 200 yards
Step-by-step explanation:
Scaling
Real magnitudes can be scaled up or down to adapt to the size of a sheet of paper or the screen of a computer or phone.
Catherine knows she is 50 yards from the school and it's shown as a distance of 3/4 inch on her phone map.
We can calculate the scaling factor from the real distance to the map distance by dividing:
[tex]\displaystyle \frac{50}{\frac{3}{4}}=\frac{200}{3}[/tex]
Now she sees that she's 3 inches from home on the same map. This is equivalent to a real distance of:
[tex]\displaystyle 3\cdot \frac{200}{3}=200[/tex]
Catherine is 200 yards from her home.
Answer: b 200 yards
Find the equation of the line that is perpendicular to the given line and passes through the given point.
y = − 1/5x − 3; (13, 0)
The equation is y = ???
Answers
Y= -1/5x0-3
Y=-3
Two dice are rolled. Determine the probability of the following: rolling an even number or doubles
Answers
Answer: If you mean at least one of the dice shows an odd number, then since there's a 0.25 = 0.5 x 0.5 probability of both dice being even, there's a 1 - 0.25 = 0.75 probability at least one of the dice is odd. However.. The probability that the first die is even and the total of the two dice is 8 is 3/36 since (6,2), (2,6), and (4,4) are 3 of the 36 outcomes in which the first die is even and the total is 8. sorry I could only explain, hopefully you can figure it out from here :(
Step-by-step explanation:
Find f(x + 3) if f(x) = 2x - 4
Answers
Joseph received a $20 gift card for downloading music. Each downloaded song costs $1.29. Explain how to write and solve an inequality that can be used to determine the number of songs that he can purchase. Interpret the solution.
Answers
Answer:
15
Step-by-step explanation:
Lets take the number of songs he download = x
So $1.29x = $20
So "x" = 20/4.29 = 15.5
So songs he can purchase = 15 songs
whoever helped me y'all is nice and beautiful
Answers
Answer:
6) round 287 to 300
3*300=900
7) round 1310 to 1000
6*1000=6000
8) round 62 to 60
9*60=540
(sorry i have to go i'll help w/ the rest later!)
Answer:
6. you can round 287 to the nearest 10 which will be 290 so 290 times 3 equals 870
7. round 1,310 to the nearest 100th which is 1,300 so 1,300 times 6 equals 7,800
8. round 62 to the nearest 10th which equals 60 then 60 times 9 equals 540
Step-by-step explanation:
9. round 486 to the nearest 10th which is 490 so 490 times 7 equals 3430 then mark unreasonable
10. round 1,240 to the nearest 100 which will be 1,200 so then 1,200 times 5 equals 6,000 then mark unreasonable
11. round 287 to the nearest tenth which is 290 so then 290 times 5 equals 2610
An acute angle in one right triangle has the same measure as an acute angle in another right triangle. Name the theorem or postulate that is the most direct way to prove the triangles similar.
Answers
Answer:
Step-by-step explanation:
Right Triangle Similarity
Acute Angle Similarity
If one of the acute angles of a right triangle is congruent to an acute angle of another right triangle, then by Angle-Angle Similarity the triangles are similar.
In the figure, ∠M≅∠Y , since both are right angles, and ∠N≅∠Z .
So, ΔLMN∼ΔXYZ .
Leg-Leg Similarity
If the lengths of the corresponding legs of two right triangles are proportional, then by Side-Angle-Side Similarity the triangles are similar.
In the figure, ABPQ=BCQR .
So, ΔABC∼ΔPQR .
Hypotenuse-Leg Similarity
If the lengths of the hypotenuse and a leg of a right triangle are proportional to the corresponding parts of another right triangle, then the triangles are similar. (You can prove this by using the Pythagorean Theorem to show that the third pair of sides is also proportional.)
In the figure, DFST=DESR .
So, ΔDEF∼ΔSRT .
Taking Leg-Leg Similarity and Hypotenus-Leg Similarity together, we can say that if any two sides of a right triangle are proportional to the corresponding sides of another right triangle, then the triangles are similar.
How many
solutions can
an equation
have?I
Answers
Answer:
A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases. One solution. A system of linear equations has one solution when the graphs intersect at a point.
2) A snail moving at 3.6 m/h; convert to mm/s
Answers
Answer:
60mm/s
Step-by-step explanation:
Plz give brianliest and push the thanks button
Snsndndndndndnddn
Two girls were competing in
100
100 meter dash. The first girl ran it in
14.47
14.47 seconds. The second girl ran it in
13.88
13.88 seconds. How much faster was the second girl than the first?
Two girls were competing in
100
100 meter dash. The first girl ran it in
14.47
14.47 seconds. The second girl ran it in
13.88
13.88 seconds. How much faster was the second girl than the first?
Two girls were competing in
100
100 meter dash. The first girl ran it in
14.47
14.47 seconds. The second girl ran it in
13.88
13.88 seconds. How much faster was the second girl than the first?
Two girls were competing in
100
100 meter dash. The first girl ran it in
14.47
14.47 seconds. The second girl ran it in
13.88
13.88 seconds. How much faster was the second girl than the first?
Two girls were competing in
100
100 meter dash. The first girl ran it in
14.47
14.47 seconds. The second girl ran it in
13.88
13.88 seconds. How much faster was the second girl than the first?
Answers
Answer:
the second girl was. 59 seconds faster than the first girl.
Step-by-step explanation:
14.47-13.88= .59
4 quarts per day. Express this rate of flow in liters per week.
Answers
Answer:
26.49787 or about 26.50 liters.
Step-by-step explanation:
4 quarts = 3.78541 liters
For the week = 3.78541 x 7 = 26.49787
74% of a university's freshman class are majoring in Economics. If 6290 students in
the freshman class are Economics majors, how many students are in the freshman
class?
Answers
Question 9
V - 15 = -27
Pls find the value of V?
Answers
Then, you’ll have -27+15, to which it equals -12.
Therefore, v = -12
Hope this helps :)
does anyone know the answers ???
Answers
Answer:
1) 3
2) -9
3) 12
4) 4
5) -1
Step-by-step explanation:
A CD player is on sale for $90 at an electronics store. If the original price was $125, what is the percent of discount?
Answers
Answer:
I belive it is 28% off
so my question is that i have -2(p+3)+4p but i dont know what to do
Answers
Answer:
-2(p+3)+4p = 2p - 6
Step-by-step explanation:
Step 1: Distribute the -2 to the (p) and (3) which equals = -2p-6
Step 2: Combine Like Terms: -2p - 6 +4p --> 2p - 6
Find the slope of the line.
Can somebody please help me and/ or explain ?
Answers
Answer:
4/-2
Step-by-step explanation:
Start at a point where the line intersects a firm coordinate like y=2 then use rise/run rise is vertical and run is horizontal count from the intersection up to where the line intersects another firm point in this case y=6 then count the run which lands on x=-2 y=6 which gives you the slope of 4/-2
200 cups is equal to how many
gallons?
Answers
Answer:
12.5
Step-by-step explanation:
in liquid gallons
Answer:
12.5 us liquid gallons
Step-by-step explanation:
Hope rhis awnsers your question have a great day!
6(3x+5) and 15x+□+3x A 5
B 11
C 15
D 30
Answers
Answer:
30
Step-by-step explanation:
I'll give brainly thing
Answers
Answer:
THE ANSWER IS B
Answer:
I would say your highlighted answer is the right one but theyres a site called Jiskha that can help better then brainly❤️
Step-by-step explanation:
Write a linear function f with f(2)=−2 and f(1)=1.
Answers
Answer:
f(x) = -3x+b
Someone deleted my answer for no reason. I really don't like it when that happens. Anyway, here's the answer again :)
What is the equation of the line that is parallel to the line y = x + 4 and passes through the point (6, 5)?
y = x + 3
y = x + 7
y = 3x – 13
y = 3x + 5
Answers
Answer:
L = x - 1
Step-by-step explanation:
Let the equation of the line we are trying to find be L.
Since L is parallel to y, they would have the same gradient
So: L = x + c
c is the constant or the y-intercept
Sub in the point (6 , 5)
5 = 6 + c
c = -1
∴ L = x - 1
Ava and her children went into a restaurant and will buy hotdogs and tacos. She must
buy no less than 8 hotdogs and tacos altogether. Write an inequality that would
represent the possible values for the number of hotdogs purchased, h, and the
number of tacos purchased, t.
Answers
Answer:
h+t (greater to or equal to) 8
Step-by-step explanation:
If you were to roll the dice one time what is the probability it will NOT land on a 5?
Answers
Answer:
as a percent or certainty?
Answer:
There is a 5/6 chance the dice will not land on 5.
Step-by-step explanation:
There are six sides on the dice and 5 is one out of those six options so we simply eliminate that option subtracting one out of six over all options.
Write the cube root for each number
Answers
Answer:
13. 3
14. 13
15. 17
16. 19
17. 20
18. 10
Step-by-step explanation:
