Answers
Answer:
measure of angle 1: 102 degrees
measure of angle 2: 78 degrees
Step-by-step explanation:
angle 1 + angle 2 = 180 degrees because they are a linear pair.
(x+63)+2x=180 angle1 x+63 or (39)+63 angle2 2x or 2(39)
3x+63=180 39+63= 102 2 x 39 = 78
-63 -63
3x=177
/3 /3
x=39
Hope this helps :D
Answer:
The measure of angle 1 is: 102
The measure of angle 2 is: 78
Step-by-step explanation:
Write an equation modeling the situation: x+63+2x=180 (It equals to 180 because of the straight line on the bottom)Add like terms: 3x+63=180Subtract 63 from both sides: 3x=117Now divide 117 by 3 to get: x=39Now that you know what x is, substitute 39 where the "x"s are.I hope this helps!!
Related Questions
Wyatt is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $2.75. Wyatt spent $20.25 altogether at the carnival and the number of rides he went on is twice the number of games he played. Determine the number of games Wyatt played and the number of rides Wyatt went on.
Answers
Answer:
Wyatt played 3 games and went on 6 Rides
Step-by-step explanation:
Let games be represented as x
Let ride be represented as y
Each game cost $1.25
Each ride cost $2.75
Total money spent by Wyatt= $20.25
x1.25 + y2.75 = 20.25 ..... Equation 1
the number of rides he went on is twice the number of games he played
Y= 2x ... Equation 2
Substituting the value of y into equation 1
x1.25 + y2.75 = 20.25
x1.25 + 2(x)2.75 = 20.25
x1.25 + x5.5 = 20.25
x6.75= 20.25
x= 20.25/6.75
X= 3
Y= 2x
Y= 2(3)
Y= 6
Wyatt played 3 games and went on 6 Rides
For what values of x is the trigonometric equation tan(x − 180°) − sin(x − 180°) = 0, where 0 ≤ x < 360°, true?
{0°, 90°}
{0°, 180°}
{90°, 180°}
{90°, 270°}
Answers
Answer:
It's the second option {0°, 180°}
Explanation:
Given a trigonometric equation in degrees where tan(x − 180°) − sin(x − 180°) = 0 .
Since this is multiple choice, you can use the process of elimination to get rid of the incorrect answers.
You can think of sin as the y or vertical component of a rotation, cos as the x or horizontal component of a rotation, and tangent as we know to be sin/cos. Remember, this rotation is oriented in the counterclockwise direction so it is going leftward starting at (1,0). We also know that 360° is a full rotation so the rotation rule for each interval of 90 degrees counter clockwise is 0° or 360° (x,y) → 90° (-y,x) → 180° (-x,-y) → 270° (y,-x).
So if sin(90°) is 1, cos must be 0 as (1,0) → (0,1) , which means tan is N/A (undefined) since 1/0 = N/A. And undefined + 1 ≠ 0 so anything with 90° is incorrect. That leaves us with the second option {0°, 180°} because it is the only one that excludes 90°.
The answer is B. {0°, 180°}
To win at LOTTO in a certain state, one must correctly select 6 numbers from a collection of 55numbers (one through 55.) The order in which the selections are made does not matter. How many different selections are possible?
Answers
Answer:
Number of different selection = 50C6
Number of different selection = 50 x 49 x 48 x 47 x 46 x 45
Number of different selection = 15 890 700
Step-by-step explanation:
The number of the different ways of selections are possible will be 28,989,675.
What are permutation and combination?A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
To win at LOTTO in a certain state, one must correctly select 6 numbers from a collection of 55numbers (one through 55).
The order in which the selections are made does not matter.
Then the number of the different ways of selections are possible will be
⇒ ⁵⁵C₆
⇒ (55!) / [(55 - 6!) × 6!]
⇒ (55 × 54 × 53 × 52 × 51 × 50 × 49!) / [49! × 6 × 5 × 4 × 3 × 2 × 1]
⇒ 11 × 3 × 53 × 13 × 51 × 25
⇒ 28,989,675
Thus, the number of the different ways of selections are possible will be 28,989,675.
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255
#SPJ2
Saba and Hena saved up Rs. 81.75 and Rs 45.25 respectively to buy a gift for
Mother’s Day. How much money in all have the sisters set aside for the gift?
Answers
please help this is due at 12:20
Answers
Answer:
B
Step-by-step explanation:
A sinking fund is established to discharge a debt of $20,000 in 15 years. If deposits are made at the end of each 6-month period and interest is paid at the rate of 5%, compounded semiannually, what is the amount of each deposit? (Round your answer to the nearest cent.)
Answers
Answer:
the amount of each deposit is $45,555
Step-by-step explanation:
The computation of the each deposit is shown below:
Given that
Future value be $20,000
Time period = 15 × 2 = 30
And, the rate = 5% ÷ 2 = 2.5%
Now the formula is as follows
= (Future value × rate of interest) ÷ (1 + rate of interest)^time period - 1
= ($20,000 × 2.5) ÷ (1 + 0.025)^30 - 1
= $50,000 ÷ 1.0975675791
= $45,555
Hence, the amount of each deposit is $45,555
Determine whether each point could represent an x-intercept, y-intercept, both, or neither.
A. (0,5)
B. (0,0)
C.(-7,0)
D. (3,-4)
E. (19,0)
Answers
Answer:
A. y-intercept
B. Both
C. x-intercept
D.Neither
E. x-intercept.
Step-by-step explanation:
A y-intercept is recognized when there is a 0 at the x coordinate. A x-intercept is recognized when there is a 0 at the y-coordinate. The origin (0,0) is considered the x and y-intercept. In a neither situation, the coordinates will have another number besides zero.
Rachel's school play started at 9:20 AM.
It lasted 2 hours and 10 minutes.
What time did the play end?
Answers
Answer:
11:30
learn how to count you bozo
What is the key thing you have to remember when multiplying or dividing by a negative number in inequalities?
Answers
Answer: You must switch the direction of the sign
Step-by-step explanation: When multiplying or dividing by a negative number, the signs reverse.
Find the slope of the linear function that passes through the points (−1, 5) and (8, 11).
Answers
Answer:
6 over 9
Step-by-step explanation:
y2-y1 over x2-x1
What are the x-and y-intercepts of -3x + 5y = 15?
A. 17, 10
B. -3, -5
C. -5,3
D. 15, 15
Help me pleasee
Answers
explanation:
to find the x-intercept substitute 0 for y and solve for x. to find the y-intercept substitute 0 for x and solve for y, which leads you to answer C
x-intercept: (-5,0)
y-intercept: (0,3)
Answer: y= -5/3 x -1
Step-by-step explanation:
A relation is
i don't know this answer somebody please help
Answers
Answer:
A relation between two sets is a collection of ordered pairs containing one object from each set.
There were 10 students in a teacher's classroom. The next week, there were 17 students. What is the percent increase
of the number of students?
Answers
I don’t know the answer Someone pls help
Answers
Answer:
Ye you got it right
Step-by-step explanation:not that hard
ITS RIGHT
Answer:
Step-by-step explanation:
4 x 7/8 = 28/8 or 3 4/8 or 3 1/2
(4x7=28)
Denominator stays the same.
You totally got it right!! Don't doubt yourself!!
The price of n tickets to a concert is is 9n + 6 dollars. What is the cost, in dollars, for 8 tickets to the play?
The cost for 8 tickets to the play is
Answers
Answer:
78
Step-by-step explanation:
do 9 x 8= 72
then 72 + 6= 78
What is the image point of (-1,1)(−1,1) after a translation right 2 units and down 1 unit?
Answers
Answer:
it should be (1,0) (1,0) but make sure cuz im learning this right now and im not the best at it, heres my notes if u want them
Step-by-step explanation:
lol this took me forever to upload my notes
Determine whether the lines given in each box are parallel, perpendicular, or neither
You can do it by page say page one or page two please need it by today
Answers
Answer/Step-by-sep explanation:
To determine whether the lines given in each box are parallel, perpendicular, or neither, take the following simple steps:
1. Ensure the equations for both lines being compared are in the slope-intercept form, y = mx + b. Where m is the slope.
2. If both lines have the same slope value, m, then both lines are parallel.
3. If the slope of one line is the negative reciprocal of the other, then both lines are perpendicular. That is, x = -1/x.
4. If the slope of both lines are not the same, nor the negative reciprocal of each other, then they are neither parallel nor perpendicular.
1. y = 3x - 7 and y = 3x + 1.
Both have the same slope value of 3. Therefore, they are parallel.
2. ⬜ [tex] y = -\frac{2}{5}x + 3 [/tex] and [tex] y = \frac{2}{5}x + 8 [/tex]
The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -⅖ and the slope of the other is ⅖. Therefore, they are neither parallel nor perpendicular.⬜
3. [tex] y = -\frac{1}{4}x [/tex] and [tex] y = 4x - 5 [/tex]
The slope of the first line, ¼, is the negative reciprocal of the slope of the second line, 4.
Therefore, they are perdendicular.
4. 2x + 7y = 28 and 7x - 2y = 4.
Rewrite both equations in the slope-intercept form, y = mx + b.
2x + 7y = 28
7y = -2x + 28
y = -2x/7 + 28/7
y = -²/7 + 4
And
7x - 2y = 4
-2y = -7x + 4
y = -7x/-2 + 4/-2
y = ⁷/2x - 2
The slope of the first line, -²/7, is the negative reciprocal of the slope of the second line, ⁷/2.
Therefore, they are perdendicular.
5.⬜ y = -5x + 1 and x - 5y = 30.
Rewrite the second line equation in the slope-intercept form.
x - 5y = 30
-5y = -x + 30
y = -2x/-5 + 30/-5
y = ⅖x - 6
The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -5 and the slope of the other is ⅖. therefore, they are neither parallel nor perpendicular.⬜
6.⬜ 3x + 2y = 8 and 2x + 3y = -12.
Rewrite both line equations in the slope-intercept form.
3x + 2y = 8
2y = -3x + 8
y = -3x/2 + 8/2
y = -³/2x + 4
And
2x + 3y = -12
3y = -2x -12
y = -2x/3 - 12/3
y = -⅔x - 4
The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -³/2 and the slope of the other is -⅔ therefore, they are neither parallel nor perpendicular.⬜
7. y = -4x - 1 and 8x + 2y = 14.
Rewrite the equation of the second line in the slope-intercept form.
8x + 2y = 14
2y = -8x + 14
y = -8x/2 + 14/2
y = -4x + 7
Both have the same slope value of -4. Therefore, they are parallel.
8.⬜ x + y = 7 and x - y = 9.
Rewrite the equation of both lines in the slope-intercept form.
x + y = 7
y = -x + 7
And
x - y = 9
-y = -x + 9
y = -x/-1 + 9/-1
y = x - 9
The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -1, and the slope of the other is 1, therefore, they are neither parallel nor perpendicular.⬜
9. y = ⅓x + 9 And x - 3y = 3
Rewrite the equation of the second line.
x - 3y = 3
-3y = -x + 3
y = -x/-3 + 3/-3
y = ⅓x - 1
Both have the same slope value of ⅓. Therefore, they are parallel.
10.⬜ 4x + 9y = 18 and y = 4x + 9
Rewrite the equation of the first line.
4x + 9y = 18
9y = -4x + 18
y = -4x/9 + 18/9
y = -⁴/9x + 2
The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -⁴/9, and the slope of the other is 4, therefore, they are neither parallel nor perpendicular.⬜
11.⬜ 5x - 10y = 20 and y = -2x + 6
Rewrite the equation of the first line.
5x - 10y = 20
-10y = -5x + 20
y = -5x/-10 + 20/-10
y = ²/5x - 2
The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is ⅖, and the slope of the other is -2, therefore, they are neither parallel nor perpendicular.⬜
12. -9x + 12y = 24 and y = ¾x - 5
Rewrite the equation of the first line.
-9x + 12y = 24
12y = 9x + 24
y = 9x/12 + 24/12
y = ¾x + 2
Both have the same slope value of ¾. Therefore, they are parallel.
May someone tell me what the value of x is ?
Answers
Answer:
maybe 11? because it says to Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.
Step-by-step explanation:
Given that the following statement is true
"If a shape is a polygon, then it is a closed figure."
Which of the following statements must also be true?
A. If a shape is a closed figure, then it is a polygon.
B. If a shape is not a polygon, then it is not a closed figure
C. If a shape is not a closed figure, then it is not a polygon
D. If the shape is not a polygon, then it is a closed figure.
Answers
Answer:
C IS THE ANS COS ALL POLYGONS ARE CLOSED AND IF IT NOT CLOSED IT NOT A POLYGON
What is the area help plssssssss
Answers
Answer:
Im not 100% sure but i believe its M6?
Step-by-step explanation:
Can anybody tel me what K equals plz I got to go to bed
Answers
Answer:
K is equal to 4
Step-by-step explanation:
. hope it helped
Need answer ASAP
A book weighing 1.0 newton is lifted 2 meters. How much work was done?
(Calculating work and power)
Formulas: Work= force × distance
Power= work/time or power= (force × distance)/time
Answers
Please help 90 points
Answers
Answer:
can u make a new one because i have a to download the pdf and go back and fourth
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
Click on the PDF file link - your browser will automatically launch the Adobe Acrobat reader.
Click the download icon - usually located in the top left or right corner of the screen dependent on which version you have installed.
I need help to solve the equation
Answers
Answer:
D) X=-6
Step-by-step explanation:
In a transformation, the final figure is called.
A. Reflection
B. Image
C. Pre-Image
D. Translation
Answers
Answer:
A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.
Which equation represents the line that passes through (2, -1) and is
perpendicular to the graph of y=-2x +1. (Please show all your work)
Answers
Answer:
y=(1/2)x-2
Step-by-step explanation:
Remember y=mx+b equation.
If is perpendicular to y=-2x+1 that has the slope -2, then the slope is negative reciprocal so is 1/2
Use the (x-x1)m= (y-y1) equation and the given point (2, -1),
so (x-2)1/2=(y+1); x-2=2y+2; 2y=x-2-2; 2y=x-4; y=(1/2)x-2
How do I solve this equation and check the solutions?
Answers
Answer:
44
Step-by-step explanation:
1. 8x8=64
2.64-20=44
Answer; 44
64-20=44
the answer is 44
subtract (5z^6-3v)-(-3z^6)
Answers
Answer:
[tex]8z^6-3v[/tex]
Step-by-step explanation:
dillon went out for dinner with four friends. All had the same meal and dessert, except dillon who did not order the 5 dollar dessert. The total bill came to 45 dollars. write an equation to determine how much each of his friends paid for their meal
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Dillon and 4 friends went for dinner ;
They all had the same meal except Dillion who did not order the $5 dessert
Total bill paid = $45
Amount paid by each person :
Let amount paid by each friend = x
Amount paid by dillion = x - 5
4x + x - 5 = 45
5x - 5 = 45
5x = 45 + 5
5x = 50
x = 10
Amount paid by each of the 4 friends = $10
Amoubt paid by Dillion = $10 - $5 = $5
i need help pls asap
Answers
Answer:
Y=114 X=54
Step-by-step explanation:
Y and 114 are the same and the Top line is 180 degrees because it is straight so you can add 114 + 12= 126 which leaves 54 for X