Answers
Answer:
You can find out x and y by solving these equations simultaneously.
First case:
according to the opposite angle theorem, (18y+5)° = (10x-61)°
Now let's simplify them;
18y-10x = -66
y= (10x-66) ÷ 18......................(i)
Second case:
Around that centre, it is always 360°.
And the angle opposite to the (x+10)v is also (x+10)°.
And sum of these 4 angles is 360°.
(18y+5)° + ( 10x-61)° + (x +10)° + (x +10)°= 360°
18y + 12x -36 = 360°
18y + 12x = 396...........................(ii)
Now replace the value of y from (i) into (ii):
18 ((10x-66) ÷ 18) +12x =396
(10x-66) +12x = 396
22x -66 = 396
22x = 462
x = 21
Now let's put this value of x into our equation (i):
y= (10(21)-66) ÷ 18
y= 8
Cheers :)
Related Questions
In the first quadrant, you start at (5,3) and move 2 units up What point will you end up on?
Answers
Answer: 5,5 have a great day
The translated point (5, 5)
What is translation?A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction. A translation may alternatively be thought of as moving the origin of the coordinate system or as adding a constant vector to each point.
Given:
In the first quadrant, you start at (5,3) and move 2 units up.
Here, up means positive changes in the second value of coordinates
Translation:
(x, y) → (x, y +2)
(5,3) → (5, 3 +2)
(5,3) → (5, 5)
Therefore, the point is (5, 5)
To learn more about the translation in geometry;
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an equivalent name for 96??
Answers
Answer:
Ninety-six
Step-by-step explanation:
An equivalent name for 96 is ninety-six. Word form is equivalent to number form. I hope I helped!
Find the value of x ?
Answers
Answer:
x=10
Step-by-step explanation:
6x+4+12x-4=18x=180
18x=180
x=10
..........................Its ...........................going ...................to ..............be the,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,second one
D. Neither
I will give brianlest to whoever is right
Answers
Answer:
Negative Infinity
Step-by-step explanation:
It is a negative slope, therefore as x moves towards positive infinity, y will move towards negative infinity.
Is it possible to construct a triangle with the given side lengths?
2 m, 6 m, 9 m
yes or no
Answers
Step-by-step explanation:
yes aslong a one angele is 180*
I NEED HELP!! I WILL GIVE BRAINLIEST PLUS 15 POINTS
Answers
Answer:
the first one
Step-by-step explanation:
Please identify the common angles and sides or if there are non. Explain all work please!
Answers
Answers:
Common angles: ΔBGC and ΔGDC
Common sides: ΔGE and ΔAG
A common angle is a triangle that exists in two or both of the triangles.
Here, the common angles should be ΔBGC and ΔGDC.
These two angles are triangles, and they consist in both triangles.
A common side is when two angles have one vertex in the same area.
Here, we see that the common sides are ΔGE, because they intersect.
Another common side we see here is ΔAG, because they also intersect.
Hope this answer helps you!
Which set of numbers are closed under subtraction?
Natural Numbers
Integers
Irrational Numbers
Odd Numbers
Answers
What is the equation of the line?
Answers
Answer:
y = 2/3x + 4
Step-by-step explanation:
Hope This Helps!
Plz Mark Brainliest!
Write an equation of the line. I need help plz
Answers
Therefore, the answer would be
y = 3x - 2
Find the missing side lengths (Use sqrt in place of a square root symbol)
Answers
Step-by-step explanation:
Because this is a right triangle and it is given that one angle is 45 than also the ather angle is 45 so this triangle has 2 equal sides.So also the ather side is 6 .
Hypotenuse can be found by pythagorean theorem
6^2+6^2=x^2
36+36=x^2
x=√72
PLEASE HELP!! IF U GET IT RIGHT ILL GIVE U A BRAINLIEST :)
Answers
Answer:
1,4,5
Step-by-step explanation:
Ive done it myself
Answer:
1,2,4,5
Step-by-step explanation:
Susanne wants to put up a fence around her
square garden. The garden measures
11 feet on each side How much fencing
material does she need
Answers
Answer:
44 feet
Step-by-step explanation:
The garden is square and one side is 11 feet. Therefore the equation is 11 x 4
NEED HELP FAST!! Thank YOU AND I WILL GIVE BRAINLIEST
Answers
Answer:
C (third option)
V = 21.66 - 4.1i
Step-by-step explanation:
Total voltage is V₁ + V₂
V₁ = 13.52 - 7.89i
V₂ = 8.14 + 3.79i
Hence add these values together and you would get the total voltage
V = 13.52 - 7.89i + 8.14 + 3.79i
V = 13.52 + 8.14 - 7.89i + 3.79i
V = 21.66 - 4.1i
12. ROS
CALCULATE THE ARC
LENGTH. ROUND TO THE
NEAREST TENTH.
180
63 11
IQ
S
Answers
Answer:
576.97
Squared
Convert the numbers to standard from 7.23x10^-10
Answers
Step-by-step explanation:
ok this is search from Google this is right or wrong
Question:
Convert the numbers to standard from 7.23 × 10^(-10)
Answer:
7.23 billionths or 0.000000000723
Explanation:
First, convert the standard form of 10^(-10) to 1 ÷ 10^(10). Thus, the standard operation would be:
7.23 ÷ 10^10 or 7.23 ÷ 10,000,000,000
Hence, you could write it in a reciprocal of a billion, which is a billionth. You could write it in the form of 7.23 billionths or just write it 0.000000000723.
Hopefully this answer helps you.
Construct a line through R that is perpendicular to the line
Answers
Answer: just did it 3 secs. ago
Step-by-step explanation:
The answer is shown below.
Perpendicular:In simple geometry, two geometric objects cross at a right angle ( [tex]90^{0}[/tex]degrees or [tex]\frac{\pi }{2}[/tex] radians ) if they are perpendicular to one another.If two lines cross at a right angle, they are said to be perpendicular to one another. A first line is explicitly said to be perpendicular to a second line if the two lines meet and the straight angle on one side of the first line is cut by the second line into two congruent angles at the point of junction.Therefore, the Construction of a line through R that is perpendicular to the line is shown below:
Know more about perpendicular lines here:
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Factor
2) x2 – 3x – 18
Answers
Answer:
By inspection you need 2 numbers that multiply together to 18 and sum to 3. These numbers are 6 and 3. Therefore we have to find the value of x but we dont have that so we have this:
x to the power of 2-3x - 18 = ( X - 6) ( x + 3)
The model was shaded two different ways to show a product
Which product is shown by the model?
A-1/3 x 1/5
B-1/3 x 2/5
C-2/3 x 1/5
D-2/3 x 2/5
Answers
Answer:
Step-by-step explanation:
You kinda need to show the model for people to answer the question-
Find the coordinates of the focus and equation of the directrix for the parabola given by y2 = −4x. The general formula for this parabola is y2 = 4px. Therefore, the value of p is . The coordinates of the focus are . The equation of the directrix is .
Answers
Answer:
The coordinates of the focus are [tex]F(x,y) = (-1,0)[/tex] anf the equation of the directrix is [tex]x = 1[/tex], respectively.
Step-by-step explanation:
Let be [tex]y^{2} = -4\cdot x[/tex], which represents a parabola with a horizontal axis of symmetry. To find the location of the focus and to determine the equation of the directrix we must find the distance between focus and vertex ([tex]p[/tex]), dimensionless, a value than can be extracted from the following definition:
[tex](y-k)^{2} = 4\cdot p \cdot (x-h)[/tex] (Eq. 1)
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]h[/tex], [tex]k[/tex] - Coordinates of the vertex, dimensionless.
By direct comparison, we get the following coincidences:
[tex]h = 0[/tex]
[tex]k = 0[/tex]
[tex]4\cdot p = -4[/tex] (Eq. 2)
From (Eq. 2) we get that distance between focus and vertex is:
[tex]p = -1[/tex]
Which is consistent with the fact parabola has an absolute maximum.
Now, the location of the focus is:
[tex]F(x,y) = (h+p, k)[/tex] (Eq. 3)
If know that [tex]h = 0[/tex], [tex]k = 0[/tex] and [tex]p = -1[/tex], coordinates of the focus is:
[tex]F(x, y) = (0-1, 0)[/tex]
[tex]F(x,y) = (-1,0)[/tex]
And the equation of the directrix is represented by:
[tex]x = -p[/tex] (Eq. 4)
([tex]p = -1[/tex])
[tex]x = 1[/tex]
The coordinates of the focus are [tex]F(x,y) = (-1,0)[/tex] anf the equation of the directrix is [tex]x = 1[/tex], respectively.
Answer:
The general formula for this parabola is y2 = 4px.
Therefore, the value of p is
✔ –1
.
The coordinates of the focus are
✔ (–1,0)
.
The equation of the directrix is
✔ x = 1
.
Step-by-step explanation:
3 Timothy wants to rent a car for his trip. The cost, in dollars, of a n-day long rental can be represented by
the following sequence:
112, 162, 212, 262.....
Which statement is true?
A) The cost can be represented by the explicit formula
a = 112 + 50(n - 1).
B) The cost can be represented by the recursive formula
a = a,- 1 - 50
C) The cost can be represented by the explicit formula
an = 50 + 112(n - 1).
D) The cost can be represented by the recursive formula
ana-1 + 112
HELP!!!!
Answers
Step-by-step explanation:
D, because they didn't say 50 anywhere in the question that's what I think? i put D
At SMS, students were encouraged to wear school colors of blue and white. 900 Students wore their school colors while 300 students did not. What percent of the school population did not wear school colors?
Answers
Answer:
audududheyeheheh gay
Your friend says that there is an angle whose measure is the same as the measure of the sum of its supplement and its complement.
Is your friend correct? What is the measure of the angle?
Answers
Let's check:
Let the angle be x
It's complement is 90-x
It's supplement is 180-x
x = 90 - x + 180 - x
x = 270 - 2x
3x = 270
x = 90
So the angle is 90, it's complementary is 0 and it's supplementary is 90... so 90 = 0 + 90
Rewrite 1/4 books 1/3 hour as a unit rate.
A. 12 books/hour
B. 1 1/3 books/hour
C. 3/4 books/hour
D. 1/12 books/hour
Answers
Answer:
c. 3/4
Step-by-step explanation:
Given the following function, find f(-4), f(0), and f(3).
f(x)=x2-4
f(-4)=
f(0)=
f(3)=
Answers
F(-4)=(-4)2-4
F(-4)=-8-4
F(-4)=-12
F(0)=(0)2-4
F(0)=0-4
F(0)=-4
F(3)=(3)2-4
F(3)=6-4
F(3)=2
the answer is -12
f(0)=(0)2-4
the answer is -4
f(3)=(3)2-4
the answer is 2
Answers are 1.–70 2.–12 3.–74 4.–36
Answers
Answer:
3. -74
Step-by-step explanation:
[tex]12 = \frac{2 + z}{-6} \\-72 = 2+ z\\z = -74[/tex]
Find the principal. Annual rate of interest= 11% Period=3 years Total interest= 825 rupees Principal rupees
Answers
Answer:
I = $ 1,937.50
Step-by-step explanation:
For some reason, in our history class, there are 14 more boys than there are girls. If a total 32 students are in the class, how many boys and how many girls are there
Answers
Answer:
We can assume X is the number of girl, so the number of boy should be X+6.
Based on question, we can get X+X+6=32
2X+6=32
2X=26
X=13
So the answer is, 13 girls are in the class.
Step-by-step explanation:
9.)Cici went shopping and spent a total of $45.28. She paid
with a $100 bill. How much change did she receive? Write an
expression and solve.
Answers
Answer:
Cici received $54.72 dollars in change
Step-by-step explanation:
$100 (what she payed with) - $45.28 (how much she spent) = $54.72 (how much she got back in change)
Can somebody help me on 14?
Answers
Answer:
It is the speed changing
Step-by-step explanation:
becauses it is speed vs time