Answer:
Step-by-step explanation:
y-2=6x+6
y=6x+8
Find the values of x, y, and z in the triangle to the right. A triangle has angles labeled as follows: lower left, x degrees; top, y degrees; lower right, z degrees. A ray extends the left side of the triangle and the angles labeled y degrees and (3 x plus 5) degrees form a straight angle. Another ray extends the bottom side of the triangle and the angles labeled z degrees and (3 x minus 5) degrees form a straight angle. X degrees y degrees z degrees left parenthesis 3 x plus 5 right parenthesis degrees left parenthesis 3 x minus 5 right parenthesis degrees
Given:
Consider the below figure attached with this question.
Angles of a triangle are x, y and z.
To find:
The values of x, y and z.
Solution:
If two angles are linear pair, then their sum is 180 degrees.
[tex]y+(3x+5)=180[/tex]
[tex]y=180-3x-5[/tex]
[tex]y=175-3x[/tex]
Similarly,
[tex]z+(3x-5)=180[/tex]
[tex]z=180-3x+5[/tex]
[tex]z=185-3x[/tex]
According the the angle sum property, the sum of all angles of a triangle is 180 degrees.
[tex]x+y+z=180[/tex]
[tex]x+(175-3x)+(185-3x)=180[/tex]
[tex]-5x+360=180[/tex]
[tex]-5x=180-360[/tex]
[tex]-5x=-180[/tex]
Divide both sides by -5.
[tex]x=36[/tex]
The value of x is 36.
[tex]y=175-3(36)[/tex]
[tex]y=175-(108)[/tex]
[tex]y=67[/tex]
Now,
[tex]z=185-3(36)[/tex]
[tex]z=185-108[/tex]
[tex]z=77[/tex]
Therefore, the values of x, y and z are 36, 67 and 77 respectively.
I will mark brainliest to whoever helps! :D
Answer:
-7/2y
Step-by-step explanation:
cancel out the Z's than youre left with -7/2y :}
Which is a graph of a proportional relationship?
Which one?
Answer:
third graph (choice three/bottom left)
Step-by-step explanation:
Anything with a proportional relationship will always have a constant ratio (ratios will always be equivilent).
you can eliminate any graph that has an x or y intercept other than zero, or does not have a straight line.
The two main rules of a proportional graph or direct proportion is that:
the line must go through the origin (0,0)the graph must be linearAnswer:
the bottom left one
Step-by-step explanation:
it starts at the origin and as the x value increases, the y value increases too
you can easily rule out out the top two just because it doesn't start at the origin
PLEASE HELP QUICKLY AS POSSIBLE THANK YOU :)
Answer:
Do answer C
Step-by-step explanation:
Have a conco with me in the comments please
Answer:
A. M
B. P
C. R
D. Q
Step-by-step explanation:
M = -8
N = -5
P = 0
Q = 8
R = 10
S = 11
A juice shop uses 1/2 of a bag of oranges to make 5 glasses of orange juice. What fraction of a bag of oranges did the shop use to make one glass?
Answer: 0.1 OR 1/10
Step-by-step explanation:
Think about it: There's 1/2 bag of oranges, and you wanna know what number of oranges used in the juice. Take 1/2, and divided it by 5. You get 0.1, then you should turn it into a fraction, giving you 1/10.
Answer: 0.1 OR 1/10
Step-by-step explanation:
Solve the following 2+(4×7)-9
Which expression is equivalent to -6(-2/3 +2x)?
A -4-12x
B -4+2x
C 4- 12x
D 4+ 12x
40 pts
Answer:
C
Step-by-step explanation:
2.072539 rounded to the nearest hundredth
Answer:
2.07
Step-by-step explanation:
Answer:
2.07
Step-by-step explanation:
The reason for that is if the thousandths place was greater that 5 it will change the 7 to an 8
so when rounding the number will change if it is greater than 5
if less than it will stay the same and the rest will become 000 after it
2.07000 but an easier way to say it is 2.07
Which equation is written in slope-intercept form?
O y = 3x-2
OX=
x-3y+8
O 2x+ 5y = 12
O 3y = 8x-5
Help
Answer:
[tex]y = 3x-2[/tex]
Step-by-step explanation:
[tex]general \: form of \: slope\: intercept \: is : \\ y = m(x) + c[/tex]
What is the Range:
-3
y>3
all real numbers
Answer:
y>3 i think
Step-by-step explanation:
do not count on me
what is the slope of this line
Answer:
where is the line?
Step-by-step explanation:
Rewrite the question and I'll do my best to answer it
If l is parallel to m, find the value of each missing variable
Answer:
x = 18
y = 5
Step-by-step explanation:
From the figure attached,
'l' and 'm' are the parallel lines and two transversal lines are intersecting these parallel lines at points A, B and C.
Since, m∠ABC + (7x - 23)° = 180° [Supplementary angles]
m∠ABC = 180° - (7x - 23)°
m∠BCA = (11y - 1)° [Vertical angles]
m∠BAC = 49°
In ΔABC,
m∠ABC + m∠BAC + m∠CAB = 180°
180° - (7x - 23)° + 49° + (11y - 1) = 180°
-7x + 11y = -71
7x - 11y = 71 ------(1)
Since, sum of consecutive angles is 180°
Therefore, m(∠ABC) + (3x + 49)° = 180°
180° - (7x - 23)° + (3x + 49)° = 180°
-4x = -72
x = 18
From equation (1),
7(18) - 11y = 71
11y = 55
y = 5
What is
1/6
of 42 ?
Arithmetic
Answer:
7
Step-by-step explanation:
hope it helps
Answer:
7
Step-by-step explanation:
1/6 * 42 = 7
identify the compound that plants make to store it as energy.
A. light
B. water
C. oxygen
D. glucose
E. carbon dioxide
Answer:
D) glucose
Step-by-step explanation:
step 4 of photosynthesis is storing energy in the glucose molecule after you separate and release the oxygen back
which is the degree of 12x^4-8x+4x^2-3
Answer:
4 is the answear
Step-by-step explanation:
Which process defines the Fibonacci sequence?
a. exclusive
c. inclusive
b. recursive
d. extensive
Answer:
Recursive.
Step-by-step explanation:
It is recursive because each new term depends on the previous two terms.
PRETTY PLEASE HELP !!!!
Answer:
false
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
The ratio would be 1:2, which means for every unshaded part there's 2 shaded parts. Looking at the pie chart, we can tell that there are 2 unshaded and 4 shaded. This can mean there are 2:4 unshaded to shaded. Reduced, we get 1:2
The points A(-3, 3), B(0,7), C(4, 10), D(1,6) create parallelogram ABCD. What is the perimeter of parallelogram ABCD, in units?
Answer:
your answer is C
Step-by-step explanation:
Answer: 20
Step-by-step explanation:
What is the constant rate of this? Please show your work.
Answer:
3
Step-by-step explanation:
To find the answer, heres what you need to do.
Basically, you divide each number on the right by the number on the left.
15/5= 3
24/8=3
36/12=3
72/24=3
Since all of the answers are 3, your answer is 3
Answer:
3
Step-by-step explanation:
Slope Formula:
y2 - y1/x2 - x1
Let's use (5, 15) and (8,24)
(x1, y1) = (5, 15)
(y1, y2) = (8, 24)
Substitute:
y2 - y1/x2 - x1
24 - 15/8 - 5
Solve:
24 - 15/8 - 5
9/3
= 3
Therefore the slope, or constant rate is 3.
Tip: look at the relationship between Cost and Time.
15/5 = 3
24/8 = 3
36/12 = 3
72/24 = 3
Dividing is a simple way to find the slope!
If you deposit $5000 at the end of each year for 30 years using an annual interest rate of 9% compounded annually, how much money will you have after 30 years?
Alejandro is saving money from work and his Mom will give him an extra 27 of whatever he saves. If Alejandro saves $50, how much will his mom give him?
Answer 10n = 40
Brainlist included
Answer:
n=4 :)
Step-by-step explanation:
40/10=4
what is x in the equation 6.25x + 12 = 30.70?
Answer:
x=2.99200
Step-by-step explanation:
6.25x=18.7
x=2.99200
6.25x=18.7 the answer is x=2.992
A line passes through the points A(n,4) and B(6,8) and is parallel to y=2x-5. What is the value of n?
The slope of y = 2x - 5 is 2. Parallel lines have the same slope, so the slope of the line through the given points A and B is also 2. This means
(8 - 4) / (6 - n) = 2
Solve for n :
4 / (6 - n) = 2
4/2 = 6 - n
2 = 6 - n
n = 6 - 2
n = 4
Carina begins to solve the equation Negative 4 minus two-thirds x equals negative 6 by adding 4 to both sides. Which statements regarding the rest of the solving process could be true?
Answer:
x= 3/2
Step-by-step explanation:
3 and4
Step-by-step explanation:
edge 20
Enter the number in standard notation.
5.39 x 105=?
Answer:
539,000
Step-by-step explanation:
539,000 is 5.39x10^5
2
The figure shows how the yard lines on a football field are numbered. The goal lines
are labeled G. A referee was standing on a certain yard line as the first quarter ended.
3
He walked 41 yards to a yard line with the same number as the one he had just left.
4
How far was the referee from the nearest goal line? Express your answer as a
simplified mixed number.
9514 1404 393
Answer:
29 1/8 yards
Step-by-step explanation:
If the ref is distance 'd' from the goal line, after walking 41 3/4 yards to the same yard line at the other end of the field, he will also be at distance d from that goal line.
Hence the total ...
d + 41 3/4 + d
will be the length of the field between goal lines, 100 yards.
2d +41 3/4 = 100
2d = 58 1/4 . . . . . . subtract 41 3/4
d = 29 1/8 . . . . . . . divide by 2
The referee was 29 1/8 yards from the nearest goal line.
Answer:
29 1/8
Step-by-step explanation:
YOU WILL DO YOU GOOD LUCK
Triangle PQR has vertices , , and . It is translated according to the rule
-10 is the correct answer.
Answer:
D. -10
I have to make this more the 20 characters...
PLEASE someone help me and show how you got the answer pleaseee.
sorry if it’s blurry but it says Find the midpoint of the segment with endpoints (6,7) and (6,-5)
The x coordinates, 6 and 6, add to 6+6 = 12. Then we cut this in half getting 12/2 = 6.
The x coordinate of the midpoint is 6.
The y coordinates, 7 and -5, add to 7+(-5) = 2. Which cuts in half to get 2/2 = 1.
The y coordinate of the midpoint is 1.
Put together, the midpoint is located at (6,1)
I kinda need some help
Answer:
x = 32
y = 60
Step-by-step explanation:
By plugging in the equation and solving it, we end up with 32. Then, plugging in 32 for x we get 60 for y when solved.
6y+8 = 7y-12
subtract 8 from both sides
6y = 7y - 12
subtract 7y from both sides
-y = -20
y = 20
4x = 6x-26
subtract 6x from both sides
-2x = -26
x = 13