Answers
Hey there!
This diagram shows two parallel lines (they will never intersect). This lines are crossed by another line called a transversal. This simple diagram can help us understand the nature of angles in our world.
The most important number to think about when it comes to this diagram is 180. A full circle is 360 degrees, and half of that is 180. Let's say that you are opening a shoe box. With the lid closed, there is no angle. If you open the lid straight up so that there is an L-shape, you have made a right angle, which is 90 degrees. If you open it so that it makes a line, you are now at 180 degrees. If you were to open the lid in a full circle, that would be 360 degrees, but the lid would probably break off!
We see that a straight line is a 180 degree angle. This means that 3y and the angle on the other side of the transversal right next to it (we'll call this angle A) should add up to equal 180 degrees. Angles that add up to equal 180 degrees are called supplementary angles. Looking again, we see that angle A and the 87 degree angle make up a straight line, so they are also supplementary. If 3y is supplementary with angle A and angle A is supplementary with 87, then 3y must be equal to 87. 3y and 87 are known as vertical angles because they are vertical of each other and meet at a point. Vertical angles are always congruent, so 3y is 87. We can just divide 87 by 3 to figure out what y is: 29.
There are also corresponding angles. These are angles that are the exact same but are in different places. For example, angle 87 is going to be the same thing as the supplementary angle to the bottom left of 3x because they are both to the left of the transversal and below the parallel line. Therefore, 3x is supplementary with 87. If you subtract 87 from 180, then you get 93. We divide by 3 to get x, giving us 31.
So, x=31 and y=29.
I hope that this helps! Have a wonderful day! :D
Related Questions
For a giveaway a local radio station is putting together goodie bags . The bags will include tickets and posters each bag will receive an equal share of 54 tickets and 36posters
Answers
Answer: There are 18 goodie bags, each with 3 tickets and 2 posters.
Step-by-step explanation:
What is the y-intercept of the following equation? y= 2x - 3
Answers
-3
ddidoylekkyhhdyywktqs
Answer:
-3
Step-by-step explanation:
y= mx + b
b is the y intercept
you are standing on the middle rung of a ladder.
if you first climb up 3 rung then down 5 rung and then up 10 rung to get onto the top rung how many rung are on the ladder
Answers
Answer:
You are 8 rungs on top of the ladder
Step-by-step explanation:
0 + 3 - 5 + 10 = 8
Which of the following is the correct answer after multiplying both sides of the inequality -x > -3 by -1?
x 3
x > -3
x < -3
Answers
Answer:
x < 3
Step-by-step explanation:
When you multipy an inequality by a negative, remember to switch the inequality sign!
-x > -3
(-x)(-1) > (-3)(-1)
x < 3
please give thanks and hit the heart button :)
Step-by-step explanation:
x<3
ph0t0math/máthwáy
what is the percent of change from 300,000 to 30,000 its 90
Answers
Answer:
-90%
Step-by-step explanation:
Please answer this thanks
Answers
Answer:
It's C! 75%
Step-by-step explanation:
Answer: 75%
Step-by-step explanation:
Just form the simple equation of 14/8=x/100
cross mulitply: 8x=1400
=> x=175
175-100(super important step)=75
75%
:) Tada your answer. Have a nice day
2 Which expression is equivalent to
5 - 14? Select all that apply.
A -3.3
B
9+ (-1)
C
- 5+ 14
D 14 - (-5)
Answers
Answer:
C because two them answer is same!!
Step-by-step explanation:
-5+14=9
5-14=9
Answer:
Not a because it is -9.
Not b, that is 8,
not c that is 9
not d that is 19
None are correct?
Step-by-step explanation:
Complete the following statement. Write your answer as a decimal or whole number.
____% of $80 = $4
Answers
5% of $80 is $4.
What is percentage?A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.
Given that, ____% of $80 = $4
Let x be the percent,
x% of 80 = 4
x = 4*100/80 = 5
Hence, 5% of $80 is $4.
For more references on percentage, click;
https://brainly.com/question/29306119
#SPJ5
Write an integer for loss of 18 pounds
PLEASE HELP
Answers
So a loss is negative it will be -18 on the number line.
UwU hope this helps
Multiply. (2.1 X 10/2) X (3.5 X 10/5)
Answers
we first solve each bracket
we can write 2.1 as 21/10 and 3.5 as 35/10
(21/10x10/2)x(35/10x10/5)
the 10's simplify
21/2x35/5=21/2x7=147/2=73.5
Grocery store sells tangerines in 2/5 kg bags. A customer bought 4kg of tangerines for a school party. How many bags did he buy
Answers
In order to have 4 kg, he must have 20/5 kg. Each bag is 2/5 kg, so 2/5 times 10 is 20/5 or 4kg. Therefore, he bought 10 bags of tangerines for the school party.
IDK- PLS HELP ME plss
Answers
Answer:
C and D
Step-by-step explanation:
all you do is multiply :)
pls help due soon! lol
Answers
Answer:
If there's a point after 2: 13.2
If there's no a point after 2: 1320
Step-by-step explanation:
A= 6[tex]s^{2}[/tex]
Two numbers/variables touching like this means to multiply!
s=2.20
6x2.20= 13.2
-------------------------------------------------------------------------------------
If there is no point, same process, not same answer.
s=220
6x220= 1320
I hope this helped you! If you are still confused, comment so I could give you more info. :D
In which equation is the decimal point in the correct place in the quotient? Select all that are correct. A. 25.662 ÷ 4.7 = 54.6 B. 12.48 ÷ 6.4 = 1.95 C. 121.35 ÷ 2.05 = 59.195121 D. 55.204 ÷ 88.8 = 0.6216666 E. 0.95 ÷ 0.05 = 0.19
Answers
Answer:
B
Step-by-step explanation:
please help. i have like a bunch of missing assignments
Answers
Answer:
The answer is 11 Units
Answer:
12
Step-by-step explanation:
base*height=6*2
6*2=12
A person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen he sells it at Rs 80 a pair find the gain percent solve step by step
Answers
Given,
CP of cosmetics = Rs 360 per dozen
SP of a pair of cosmetics = Rs 80
We need to find the profit percentage.
Solution,
We know that,
1 dozen = 12 items
CP of 1 cosmetic = 360/12 = Rs 30
SP of 1 cosmetic = 80/2 = Rs 40
Profit = SP-CP
= Rs 40 - Rs 30
= Rs 10
Profit percentage is given by :
[tex]\%=\dfrac{profit}{CP}\times 100\\\\=\dfrac{10}{30}\times 100\\\\=33.34\%[/tex]
So, the profit percentage is 33.34%.
Suppose a triangle has sides 1,1, and 1. Which of the following must be true?
A. The triangle in question is a right triangle.
O B. The triangle in question is not a right triangle.
C. The triangle in question may or may not be a right triangle.
SUBMIT
Answers
Answer:
B.it is an equilateral triangle not a right triangle
Austin answered 47 out of 50 questions correct on a test. What percentage grade did Austin receive on his test?
Answers
0.94 * 100
Solution: 94 percent
find the inverse with respect to addition of -6
Answers
Given:
The number is -6.
To find:
The inverse with respect to addition of the given number.
Solution:
We need to find the additive inverse of -6, to get the inverse with respect to addition of -6.
We know that, the sum of a number and its additive inverse is 0.
Let the additive inverse of -6 be x. Then,
[tex]-6+x=0[/tex]
Adding 6 on both sides, we get
[tex]-6+x+6=0+6[/tex]
[tex]x=6[/tex]
Therefore, the inverse with respect to addition of -6 is 6.
*****HELP ASAP WILL MARK BRAINLIEST****** Ignore if you don't know!!!! Geometry problem: Point D is the incenter of triangleABC, if DE=x^2 and DF= 20-8x, find each of the following
Answers
Answer:
x = 2
DG = 4
Step-by-step explanation:
The thing to know about the incenter of a triangle, is that the segments to each side are equidistant. In other words, they are identical lengths.
This means that ED = FD = GD.
Which means:
DE = DF
x^2 = 20 - 8x
So we need to solve for X. I would solve this using factoring:
Subtract 20 from both sides.
x^2−20=−8x
Add 8x to both sides.
x^2−20+8x=0
Rearrange the polynomial to put it in standard form. Place the terms in order from highest to lowest power.
x^2+8x−20=0
Factor the left hand side by grouping. First, the left hand side needs to be rewritten as x^2+ax+bx−20. To find a and b, set up a system to be solved.
a+b=8 ab=1(−20)=−20
Since ab is negative, a and b have the opposite signs. Since a+b is positive, the positive number has greater absolute value than the negative. List all such integer pairs that give product −20.
(−1,20) (−2,10) (−4,5)
Calculate the sum for each pair.
−1+20=19
−2+10=8
−4+5=1
The solution is the pair that gives sum 8.
a=−2 b=10
Rewrite x^2+8x−20 as (x^2−2x)+(10x−20).
(x^2−2x)+(10x−20)
Factor out x in the first and 10 in the second group.
x(x−2)+10(x−2)
Factor out common term x−2 by using distributive property.
(x−2)(x+10)
To find equation solutions, solve x−2=0 and x+10=0.
x = 2
x = −10
In this case, X is equal to 2 as the solution -10 doesn't make much sense given the context of the problem.
To find DG we just need to plug the solution back into one of the equations and solve:
20 - 8x
20 - 8(2)
20 - 16 = 4
DG = 4
Answer:
x=2
Step-by-step explanation:
Evaluate each expression for g = -7 and h = 3 and match it to its value.
1. gh
2. g2 - h
3. g + h2
4. g + h
5. h - g
6. g - h
Answers
Answer:
The values of given expressions are:
1. gh = -21
2. g^2 - h = 46
3. g + h^2 = 2
4. g + h = -4
5. h - g = 10
6. g - h = -10
Step-by-step explanation:
Given values of g and h are:
g = -7
h = 3
1. gh
The two numbers are being multiplied
Putting the values
[tex]gh = (-7)(3) = -21[/tex]
2. g^2-h
Putting the values
[tex]=(-7)^2-3\\=49-3\\=46[/tex]
3. g+h^2
Putting the values
[tex]= -7 + (3)^2\\=-7+9\\=2[/tex]
4. g+h
Putting the values
[tex]= -7+3\\=-4[/tex]
5. h-g
Putting the values
[tex]= 3 - (-7)\\=3+7\\=10[/tex]
6. g-h
Putting values
[tex]=-7-3\\=-10[/tex]
Hence,
The values of given expressions are:
1. gh = -21
2. g^2 - h = 46
3. g + h^2 = 2
4. g + h = -4
5. h - g = 10
6. g - h = -10
Answer:
1) - 21
2) 46
3) 2
4) -4
5) 10
6) -10
Step-by-step explanation:
g = -7h = 3[tex]1)gh = - 7(3) \\ \: \: \: \: \: \: = - 21[/tex]
[tex]2){g}^{2} - h = ( - 7 {)}^{2} - 3 \\ \: \: \: \: \: \: \: \: \: \: \: = 49 - 3 \\ \: \: \: = 46[/tex]
[tex]3)g + {h}^{2} = - 7 + {3}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = - 7 + 9 \\ \: \: \: \: = 2[/tex]
[tex]4)g + h = - 7 + 3 \\ \: \: \: \: \: \: \: = - 4[/tex]
[tex]5)h - g = 3 - ( - 7) \\ \: \: = 10[/tex]
[tex]6)g - h = - 7 - 3 \\ \: \: \: \: \: \: \: \: \: \: = - 10[/tex]
please help 8th grade math
Answers
Answer:
I'm in the 8th grade and I could probably help you out
Step-by-step explanation:
Could someone help me with these problems ?
Answers
Answer:
Step-by-step explanation:
1. is 10
4. is 6
6. is $3.19
7. is $6
PLEASE HELP QUICK! 20 POINts AND CORRECT
Answers
Answer:
Collin will have 3691
Step-by-step explanation:
please look at photo and answer which one
Answers
Answer:
B
Step-by-step explanation:
7. Are the ordered pairs below an arithmetic sequence or geometric
sequence?
(1,55)
(2, 45)
(3, 35)
(4, 25)
8. Using the formula: f(n) = f(1) + d(n-1), find f(9) for the ordered pairs
in #7.
Answers
Answer:
8. Arithmetic Progression
9. [tex]f(9) = 300[/tex]
Step-by-step explanation:
Given
[tex]\{(1,55)\ (2, 45)\ (3, 35)\ (4, 25)\}[/tex]
Solving (8): Arithmetic or Geometric
We start by checking if it is arithmetic by checking for common difference (d).
[tex]d = y_2 - y_1 = y_3 - y_2 = y_4 - y_3[/tex]
This gives:
[tex]d = 45 - 55 = 35 - 45 = 25 - 35[/tex]
[tex]d = -10 = -10 = -10[/tex]
[tex]d=-10[/tex]
Because the common difference is equal, then it is an arithmetic progression
Solving (8):
[tex]f(n) = f(1) + f(n-1)[/tex]
To find f(9), we substitute 9 for n
[tex]f(9) = f(1) + f(9-1)[/tex]
[tex]f(9) = f(1) + f(8)[/tex]
We need to solve for f(8); substitute 8 for n
[tex]f(8) = f(1) + f(8 - 1)[/tex]
[tex]f(8) = f(1) + f(7)[/tex]
We need to solve for f(7); substitute 7 for n
[tex]f(7) = f(1) + f(7 - 1)[/tex]
[tex]f(7) = f(1) + f(6)[/tex]
We need to solve for f(6); substitute 6 for n
[tex]f(6) = f(1) + f(6 - 1)[/tex]
[tex]f(6) = f(1) + f(5)[/tex]
We need to solve for f(5); substitute 6 for n
[tex]f(5) = f(1) + f(5 - 1)[/tex]
[tex]f(5) = f(1) + f(4)[/tex]
From the function, f(4) = 25 and f(1) = 55.
So:
[tex]f(5)=55 + 25[/tex]
[tex]f(5)=80[/tex]
[tex]f(6) = f(1) + f(5)[/tex]
[tex]f(6) = 55 + 80[/tex]
[tex]f(6) = 135[/tex]
[tex]f(7) = f(1) + f(6)[/tex]
[tex]f(7) = 55 + 135[/tex]
[tex]f(7) = 190[/tex]
[tex]f(8) = f(1) + f(7)[/tex]
[tex]f(8) = 55 + 190[/tex]
[tex]f(8) = 245[/tex]
[tex]f(9) = f(1) + f(8)[/tex]
[tex]f(9) = 55 + 245[/tex]
[tex]f(9) = 300[/tex]
kristen and brett found three different deals on the same smart tv they want to figure out which deal is better before tax
1.Original Price: $320
Discount: 15% off
2.Original Price: $349.99
Discount: 75% off
3. Original Price: $360
New Price: $280
Answers
Answer:
Option 2 would be the better deal, as long as they would only pay $ 87.37 for the smart TV.
Step-by-step explanation:
To determine which deal is better before taxes, the aforementioned discounts must be made at the original prices and their results compared, through the following calculations:
1)
320 - (320 x 15/100) = X
320 - 48 = X
272 = X
2)
349.49 - (349.49 x 75/100) = X
349.49 - 262.11 = X
87.37 = X
3)
280 = X
Therefore, as can be seen, option 2 would be the better deal, as long as they would only pay $ 87.37 for the smart TV.
Alex drives at an average speed that is
4/5 of the average speed that Roy's train travels.
Alex takes 15 minutes to travel 18 km in her car.
Roy travels for 1 hour and 45 minutes on his train.
How far does Roy travel to 2 dp?
Answers
Step-by-step explanation:
Alex takes 15 min to travel 18km
=> 1 hour amd 45 min to travel 18 * 7 = 126km.
Hence Roy travel 126km * (5/4) = 157.50km.
If there is an increase in the money supply that causes money to lose its
purchasing power and leads to inflation, what happens to prices?
A. They cease to exist.
B. They fall.
C. They rise
D. They stay the same
Answers
Answer: C
They Rise
Step-by-step explanation:
Cuz i did the quiz lol
TRIGONOMETERY REVIEW PLEASE HELP DUE TOMMOROW
Answers
I’m pretty sure this is how you do these kinds of questions, but I may be entirely wrong, so don’t 100% trust me on this one
