Answers
Answer: x= 112°, y = 34°
Step-by-step explanation:
"Angles formed by drawing lines from the ends of the diameter of a circle to its circumference form a right angle."
That means the angle adjacent to 56° = 90° - 56° = 34°"The angle formed at the centre of the circle by lines originating from two points on the circle's circumference is double the angle formed on the circumference of the circle by lines originating from the same points."
The angle adjacent to the left of ∠X = 2(34°) = 68°x = 180° - 68° = 112°
The angle adjacent to the right of ∠X = the angle adjacent to the right of ∠X = 68°y = 68 ÷ 2 = 34°
Circle theorems source: https://revisionmaths.com/gcse-maths-revision/shape-and-space/circle-theorems#:~:text=Angles%20formed%20by%20drawing%20lines%20from%20the%20ends,the%20point%20on%20the%20circumference%20our%20triangle%20touches.
Related Questions
Jacob went blueberry picking along a 3-mile walking path. He picked blueberries steadily along the walk. When he was finished, he had collected 50 ounces of blueberries.
How many ounces of blueberries did Jacob pick each mile?
Write your answer as a proper fraction or mixed number.
Answers
Answer:
16 2/3 ounces per mile
Step-by-step explanation:
50 ounces of blueberries/3 miles = 16.666 repeated
16.666 repeated = 16 2/3 ounces/mile
What is the result of subtracting the second equation from the first?
-2x+y = 0
-7x+3y = 2
Answers
Answer:
-5x + 2y=2
Step-by-step explanation:
[tex]- 7x + 3y = 2 \\ - 2x + y = 0 \\ subtracting \: this.we \: have \\ ( - 7x \: + 3y - 2) - ( - 2x + y) \\ - 7x + 2x + 3y - y - 2 \\ - 5x + 2y - 2 \\ therefore \: we \: have \\ - 5x + 2y = 2[/tex]
Determine the measure of ZA.
45.6°
57.7°
55.2°
32.3°
Answers
Step-by-step explanation:
Cos A = 40^2 + 25^2- 34^2 ÷ (2×40×25)
= 200+625-1156 ÷ (2000)
= 1069 ÷2000
Cos A = 0.5345
A= cos inverse 0.5345
A = 57.7
Answer:
57.7
Step-by-step explanation:
took the test
what is gravity write it's SI system
Answers
Step-by-step explanation:
gravity, also called gravitation, in mechanics, the universal force of attraction acting between all matter. ... On Earth all bodies have a weight, or downward force of gravity, proportional to their mass, which Earth's mass exerts on them. Gravity is measured by the acceleration that it gives to freely falling objects.
its Sl unit is m/s².
hope it helps.stay safe healthy and happy.The graph below shows the solution to which system of inequalities?
10-
TO
10
-10
Answers
Use the elimination method to solve the system of equations.
3x + 2y = 16
2x - 2y = 4
Answers
Answer:
D (4, 2)
Step-by-step explanation:
adding equation 1 and 2,
5x = 20
x = 4
Hence y = 2
Hence its D
Answer:
b (5,3)
Step-by-step explanation:
Question Progress
-To Progress
Find the equation of the ine shown.
Answers
Answer:
could you show the ine?
Step-by-step explanation:
PLEASE HELP DESPERATE
Answers
tan=sin/cos so tan=3/5/4/5=3/4
Answer:
SOH CAH TOA
3/5 opposite over hypotenuse
4/5 adjasent over hypotenuse
tan= opposite over adjasent which is 3/4
Step-by-step explanation:
HELP ASAP
Jack is taking a two-day road trip. He drove 425 miles on the first day, and needs to travel a total of 825 miles to reach his final destination. How many miles does Jack need to drive on the second day to get to his destination?
Answers
Answer:
400 miles
Step-by-step explanation:
825 - 425 = 400
Answer:
Step-by-step explanation:
825 - 425= 400 which is what she is going to drive on the second day
Can like someone help me I'm lost-
Answers
Answer:
the first graph
Answer:
1st option
Step-by-step explanation:
If the rate of change is constant, then it's always a straight line, so the 1st option, and if you see the graph, you'll see the line is going down at a rate of 1/4, so the slope is 1/4. So the answer to your question will be the 1st option.
Answered by GAUTHMATH
Solve the equation and enter the value of x below. 7x + 6x= 52
Answers
Hello!
7x + 6x = 52 <=>
<=> 13x = 52 <=>
<=> x = 52 : 13 <=>
<=> x = 4 => 7 × 4 + 6 × 4 = 52
Good luck! :)
- (For 10 points!)
Alfred draws candles randomly from a pack containing 4 colored candles of the same shape and size. There are 2 red candles, 1 green candle, and 1 blue candle. He draws 1 candle and then draws another candle without replacing the first one. Find the probability of picking 1 red candle followed by another red candle, and show the equation used.
(don't joke around please?? /gen)
Answers
Answer:
The probability of picking 1 red candle followed by another red candle is 16.66%.
Step-by-step explanation:
Since Alfred draws candles randomly from a pack containing 4 colored candles of the same shape and size, and there are 2 red candles, 1 green candle, and 1 blue candle, and he draws 1 candle and then draws another candle without replacing the first one, to find the probability of picking 1 red candle followed by another red candle, the following calculation must be performed:
2/4 x 1/3 = X
0.5 x 0.333 = X
0.16666 = X
Therefore, the probability of picking 1 red candle followed by another red candle is 16.66%.
Answer:
1/6
Step-by-step explanation:
2/4 x 1/3 = 1/6
What is 10{,}000+2{,}000+50+510,000+2,000+50+510, comma, 000, plus, 2, comma, 000, plus, 50, plus, 5 in standard form?
Answers
Answer:
1.2055 × 10⁴
Step-by-step explanation:
10,000 + 2,000 + 50 + 5
= 12,055
Writing 12,055 in standard form
The first digit in standard form should be between 1 and 10
Therefore, the first digit in 12,055 is 1 then point other numbers
As in 1.2055
There are 4 digits after the decimal point.
So we have 10⁴
12,055 = 1.2055 × 10⁴
Check:
1.2055 × 10⁴
= 1.2055 × 10,000
= 12,055
Hello can someone help me with this problem
Answers
Answer: x = 60
Step-by-step explanation:
If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary and their sum is 180°.
2x + 5 + x - 5 = 180
3x = 180
3x : 3 = 180 : 3
x = 60
i need help pleeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaseeeeee
Answers
Answer:
3 option is correct
Step-by-step explanation:
because all the domains and ranges calculation matches in eqn 3
does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?
Answers
Answer:
The points lie INSIDE THE CIRCLE
hope it helps
have a nice day
Given equation of the Circle is ,
[tex]\sf\implies x^2 + y^2 = 25 [/tex]
And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,
[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]
Here we can say that ,
• Radius = 5 units
• Centre = (0,0)
Finding distance between the two points :-
[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]
Here we can see that the distance of point from centre is less than the radius.
Hence the point lies within the circle .
What is another name for CD?
Answers
Answer:
I think album is another name of CD.
GIVING 15 POINTS PLS HELP!!!
Part A: factor 2x^2b^2 + 5xb^2 + 2b^2. Show your work.
Part B: factor x^2 - 8x + 16. Show your work.
Part C: factor x^2 - 49. Show your work.
Answers
Answer:
the picture I've given is an answer
Una recta pasa por los puntos A(-40) y B(2,-3).calcular su área
Answers
Answer:
Supongo que la pregunta completa es:
"Una recta pasa por los puntos A(-4, 0) y B(2, -3)"
Luego dice "calcular su área", pero una recta es un elemento unidimensional (los cuales no tienen área, el área es un concepto bidimensional).
Por lo que el área de esta recta no está definida.
Ignorando esto, podemos encontrar la ecuación que define a nuestra recta.
Sabemos que una recta se escribe como:
y = a*x + b
donde a es la pendiente y b es la ordenada al origen.
Sabemos que para una recta que pasa por los puntos (x₁, y₁) y (x₂, y₂), la pendiente será:
a = (y₂ - y₁)/(x₂ - x₁)
Entonces, para nuestra recta que pasa por los puntos (-4, 0) y (2, - 3) la pendiente será:
a = (-3 - 0)/(2 - (-4) )
a = -3/6 = -1/2
Entonces nuestra línea es algo como:
y = (-1/2)*x + b
para encontrar el valor de b, usamos el hecho de que esta línea pasa por el punto (2, -3)
esto significa que cuando x = 2, tenemos que tener y = -3
reemplazando esos dos valores obtenemos
-3 = (-1/2)*2 + b
-3 = -1 + b
-3 + 1 = b
-2 = b
La ecuación que define a esta recta es:
y = -(1/2)*x - 2
Nuevamente, el área de esta recta no está definida, por lo que no podemos calcular el área de esta recta.
Express sin U as a fraction in simplest terms
Answers
Answer:
4/5
SOH-CAH-TOA
sin = opposite / hypotenuse
Hypotenuse = sqrt(18^2 + 24^2) = 30
sin 24/30 = 4/5
Step-by-step explanation:
The length of a rectangle is 3 centimeters more than 3 times the width. If the perimeter of the rectangle is 46 centimeters, find the dimensions of the rectangle.
a
length = 18 cm; width = 5 cm
b
length = 5 cm; width = 18 cm
c
length = 13 cm; width = 5 cm
d
length = 13 cm; width = 8 cm
Answers
Answer:
a.
Step-by-step explanation:
Help multiple choice
Answers
Answer:
the first one
Step-by-step explanation:
Omane is 4 years older than Bremen. If the sum of their age is 60 , find Bremen's age
Answers
Set x is omane’s age
Y is bremen’s age
X=y + 4
X+ y = 60
=> x= 32
Y=28
Answer:
Bremen's age is 28 years
Step-by-step explanation:
Bremen's age= x
Omane's age= x+4
x+x+4=60
2x+4=60
2x=60-4
2x=56
2x = 56
2 2
x=28
In an indirect proof, you prove an "if-then" statement is true by assuming the statement is false (stating the inverse or converse), and then disproving the false statement. You want to prove the statement shown below in an indirect proof. What statement should you prove is false?
Statement to Prove True: If a figure has exactly three sides, then it is a triangle.
Statement to Prove False:
Answers
Answer:
Step-by-step explanation:
find the value of x to the nearest tenth
Answers
7
Step-by-step explanation:
To solve this you need to use trigonometry:
1. Identify the sides. In this case, x is opposite and 10 is adjacent.
2. Identify which part of SOHCAHTOA you need to use. In this case, you need to use TOA.
3. Form your equation. In this case, x = tany x A
4. Substitute numbers into your equation. In this case, x = tan35° x 10
5. Calculate this equation using a scientific calculator. In this case the answer is 7.
Find the derivative of the function. f(x) = 2x + 6
a. 6
b. 2
c. -2
d. 1/2
PLEASE ANSWER WITH THESE ANSWERS
Answers
Hi there!
[tex]\large\boxed{\text{ B. 2}}[/tex]
f(x) = 2x + 6
Differentiating 2x = 2 (Power rule, dy/dx xⁿ = nxⁿ⁻¹)
Differentiating a constant always equals 0.
Thus:
f'(x) = 2
help plsss
1/2x^2 =2
If x1 and x2 are the solutions to the equation above,
what is the value of x1 + x2?
A) 0
B) 1
C) 2
D) 4
Answers
[tex]\large {\text {$ \sf \cfrac{1}{2x^2} -2 = 0 $}}[/tex]
Now, we will multiply per 2x² both sides of equation...[tex]\large {\text {$ \sf \cfrac{1}{2x^2}\cdot \:2x^2-2\cdot \:2x^2=0\cdot \:2x^2 $}[/tex]
[tex]\searrow[/tex]
[tex]\large {\text {$ \sf 1-4x^2=0$}}[/tex]
We have to write in standard form...[tex]\large {\text {$ \sf -4x^2+1 = 0 $}}[/tex]
[tex]\large {\text{$\sf x=\cfrac{-b\pm\sqrt{b^2-4ac}}{2a} \quad\rightarrow\quad x=\cfrac{-0\pm\sqrt{0^2-4\cdot (-4) \cdot1} }{2\cdot (-4) } \:\rightarrow\:\: x=\cfrac{-0^2 \pm4}{2 \cdot(-4)} $}}[/tex]
[tex]\huge {\text {$ \sf \downarrow$}}[/tex]
[tex]\large {\text {$\sf {\bf x_1} = \cfrac{-0+4}{2\left(-4\right)}= \cfrac{-1}{2} $}}[/tex] [tex]\large {\text {$\sf {\bf x_2 }=\cfrac{-0-4}{2\left(-4\right)} = \cfrac{1}{2} $}}[/tex]
At this point, we're going to add the values of x₁ and x₂:[tex]\large {\boxed {\boxed { \bf x_1 + x_2= -\cfrac{1}{2}+ \cfrac{1}{2} = 0} }}[/tex]
[tex]\huge {\text {$ \it Alternative \: A $}}[/tex]
geometry peculiar pool
please help!!!
after the sketch answer
1. Let x represent the length of BC. Write expressions for the lengths of AB, CD, and DE.
Answers
Answer:
hi.
Step-by-step explanation:
download photo math
The cue ball needs to be hit at a point that is 21.66 inches from the top bumper and 13 inches from the right bumper.
The first step is to calculate the angle at which the cue ball will hit the top bumper. We know that the angle of incidence is equal to the complement of the angle of reflection, so the angle of incidence is equal to 90 - 13/50 = 77 degrees.
The next step is to calculate the distance that the cue ball will travel along the top bumper before it strikes the other ball. We know that the angle of incidence is equal to the angle of reflection, so the angle of reflection is also 77 degrees. We also know that the distance between the cue ball and the other ball is 50 inches.
Using the law of sines, we can write the following equation:
sin(77) = (50 / d) * sin(180 - 77)
where d is the distance that the cue ball will travel along the top bumper before it strikes the other ball.
Solving for d, we get:
d = 50 * sin(77) / sin(103)
≈ 21.66 inches
Therefore, the cue ball needs to be hit at a point that is 21.66 inches from the top bumper and 13 inches from the right bumper.
To learn more about point here:
https://brainly.com/question/32083389
#SPJ2
Pls help ASAP!!!!!
Find the average rate of change from d=4
to d=11 for the function f(d) = 5(1.02)^d. Describe the process and steps he used and explain what the average rate of change represents.
Answers
Answer:
0. 116
Step-by-step explanation:
The function is given as :-
[tex]\boxed{f(d) = 5(1.02)^d }[/tex]
and we have to find the rate of change from d = 4 to d = 11
[tex]\boxed{\blue{\mathfrak{Rate\: of\: change = \frac{final\:output-intital\:output}{final\:input-initial\:input} } }}[/tex]
The final input value is 11 whereas the initial input value is 4.
The final and initial outputs can be calculated by placing the respective values of initial and final inputs (that are 4 and 11).
[tex]{\underline{Initial\:Output}}[/tex]f(4) = [tex]5(1.02)^4[/tex]
f(4) = 5 × 1. 08
f(4) = 5. 41
[tex]{\underline{Final\:Output}}[/tex]f(11) = [tex]5(1.02)^11[/tex]
f(11) = 5 × 1. 24
f(11) = 6. 22
[tex]\underline{Avg\:Rate \: of \: change} = \frac{6. 22-5.41}{11-4} \\ = \frac{0.81}{7} \\ = 0.116 [/tex]
[tex]\bigstar[/tex] Hence, the average rate of change is [tex]\red{\underline{\pmb{0. 116}}}[/tex]
17
Select the correct answer from each drop-down menu.
Consider this system of equations:
2x+ıy=3
(equation A)
fr-y=6
(equation B)
The expressions that give the value of y are
The solution for the given system is
and
Answers
Answer:
The expressions that give the value of y are A - 3B and (1/3)A - B
The solution is (27/13, -60/13)
Step-by-step explanation:
We can see both equation A and equation B.
Equation A: 2x + (1/4)y = 3
Equation B: (2/3)x - y = 6
To find the value of y, we have to solve both equations A and equation B simultaneously. This is done by multiplying equation B by 3 and subtracting from equation A (A - 3B) to get:
(13/4)y = -15
y = -60/13
you can also get y by dividing equation A by 3 and subtracting equation B (1/3A - B)
Put y = -60/13 in equation A to get x:
2x + (1/4)(-60/13) = 3
2x = 3 + 15/13
2x = 54/13
x = 27/13
The solution is (27/13, -60/13)