Solve the following problems. Remember that all reasoning must be explained, and all steps of math work must be shown!
Topic: Perpendicular to Chord Property
Answers
Answer to Question 1:
<OGE (also m˚) = 19˚
Step-by-step explanation:
We know that all the angles in a triangle add up to 180˚.
Given:
<EGO = 71˚
<OEG = 90˚ (the angle forms a right angle because line EG is perpendicular to point O)
To Solve:
⇒ Since we know two angles, we should know the third; and they all add up to 180˚. This can be written as:
71˚ + 90˚ + <OGE = 180˚
⇒ Solve for <OGE by simplifying:
161˚ + <OGE = 180˚
⇒ Subtract 161˚ from both sides to get:
161˚ − 161˚ + <OGE = 180˚ − 161˚
⇒ Isolate <OGE:
<OGE = 19˚
Answer: <OGE (also m˚) = 19˚
Answer:
<OAC (also x˚) = 50˚
<OCB (also y˚) = 90˚
Step-by-step explanation:
–How to solve for <OCB (also y˚)
Just by looking, you can already tell that <OCB equals 90˚ because it forms a right angle.
Answer: <OCB (also y˚) = 90˚
–How to solve for <OAC (also x˚)
Given (and what we can already know):
<AOC = 40˚
<OCA = 90˚
⇒ Reason: Line AB is a straight line and a straight line equals 180˚. We already know on side of the line because <OCB is 90˚, and so the other side, <OCA, should also be 90˚, since the both sides that make up the straight line equal 180˚ (90˚ + 90˚ = 180˚). You can also tell that <OCA forms a right angle in the triangle because line AB is perpendicular to point O, and right angles are 90˚.
To Solve:
⇒ Since we know two angles in the triangle, we should know the third; and they all add up to 180˚. This can be written as:
40˚ + 90˚ + <OAC = 180˚
⇒ Solve for <OAC by simplifying:
130˚ + <OAC = 180˚
⇒ Subtract 130˚ from both sides to get:
130˚ − 130˚ + <OAC = 180˚ − 130˚
⇒ Isolate <OAC:
<OAC = 50˚
Answer: <OAC (also x˚) = 50˚
I hope you understand and that this helps with your question! :)
Related Questions
Write an expression to show how much it costs per week to keep the 8 adults x where the number of pounds one adults in a day. Simplify your expression
Answers
Answer:
y = 56xStep-by-step explanation:
Given the amount to keep one adult in a day to be x
Since 7 days = 1 week
Amount it will take to keep one adult for a week will be 7x
one adult = 7x pounds
To get the expression that show how much it costs per week to keep the 8 adults, we will say;
8 adults = y pounds
where y is the required amount
Solving both expressions
one adult = 7x pounds
8 adults = y pounds
Cross multiply
1 * y = 7x * 8
y = 56x
Hence the required expression is y = 56x
Explain why it is important to line up decimal points when you are adding and subtracting decimals. Use the problem 6.32 – 0.5 in your explanation
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
When performing addition and subtraction of decimals, it is important to arrange the numbers being added or subtracted such that the decimal points are in line. This is particularly important so that the place value of the numbers are in accord.
To simplify, when then decimals are in line, then the tenth value of the first number will be added to the tenth value of the second. Without this arrangement, one might be adding the hundredth placed value to the tenth or unit value which is mathematically incorrect and will yield a wrong result.
For instance :
6.32 - 0.5
Here, when the decimal point of each number is in line, the tenth placed value of the first number (3) matches the tenth placed number of the second number (5) and all others also fall in place automatically.
____6.32
- ___0.5
________
___ 5.82
________
Which equasion represents a line that is parallel to the line y=-4x+5
Answers
−
4
.
Thus any line parallel to the line =−4+5
y
=
−
4
x
+
5
has an equation of the form =−4+
y
=
−
4
x
+
b
, where
b
is any number.
How many solutions will this system of equations have? (2 points)
x − 2y = 24
3x − 6y = 72
Answers
If you divide the 2nd equation by 3, you get the first equation, meaning they are identical. That means that any value of x will be true, which means there are infinite solutions
Find the slope and type in the correct code.
Answers
Answer:
DFBG
Step-by-step explanation:
At any point in time;
slope m = (y2-y1)/(x2-x1)
1. (3,19) and ((-1,-13)
m = (-13-19)/-1-3 = -32/-4 = 8
Letter here is D
2. we pick out two points to use here from the line
These are ((0,1) and (2,5)
Slope is ;
(5-1)/2-0 = 4/2 = 2
Letter here is F
3. We pick any two points
(1,-8) and (4,-32)
slope =
(-32 + 8)/4-1 = -24/3 = -8
Letter here is B
4. Slope = 8 + 10/0-9 = 18/-9 = -2
letter here is G
Express the missing divisor using a power of 10. Explain your reasoning using a model.
7.5 ÷ ___________ = 0.075
Answers
¿Cuál debe ser el precio de venta de cada lápiz para que el ingreso total sea máximo? El ingreso total l(v) que se obtiene por la venta de lapices esta dado por la función l(v)=-2v^2+500v, donde v es el precio de venta de cada lápiz en pesos.
Answers
Responder:
125 pesos
Explicación paso a paso:
Dado el ingreso total l (v) obtenido de la venta de lápices por la función
Yo (v) = - 2v ^ 2 + 500v
v es el precio de venta de cada lápiz
Para que el ingreso total sea máximo, entonces dI / dv debe ser cero, es decir, dI / dv = 0
dI / dv = -4v + 500
Dado que dI / dv = 0
0 = -4v + 500
4v = 500
Dividir entre 4
4v / 4 = 500/4
v = 125
De ahí que el precio de venta de cada lápiz sea para que el ingreso total sea máximo es de 125 pesos
I need help with this equation. I'm not that smart so I can't figure it out-
Answers
Answer:
x = 0
Step-by-step explanation:
In order to solve for x, first combine both fractions on the left
To add 4x-2/8 + 3+x/4 first find the least common denominator of 8 and 4
It's 8 so multiply the numerator and denominator of 3+x/4 by 8, you would get:
8x+24/32
Multiply 4x-2/8 by 4, you will get:
16x-8/32
Now you can add 16x-8/32 + 8x+24/32, you would get:
24x+16/32
Now you can start to solve for x
Your new equation is 24x+16/32 = 1/2
To solve for x, first multiply diagonally, then solve like a regular equation.
Multiply 24x+16 by 2 to get 48x+32
Then multiply 32 by 1 to get 32
Your new equation is 48x+32=32
Now subtract 32 by 32 to get 48x=0
Now divide 48 by 0 to get x=0
what is the answer?
Answers
Answer:
x = 5
Step-by-step explanation:
Step-by-step explanation:
Since CD is the perpendicular bisector of AB, AD = DB.
Hence 6x - 2 = 2x + 18 and x = 5.
Help!
[tex] \sqrt{6 - 5x} + 2x = 0[/tex]
Answers
what are the slope and y-intercept for the graph of y-3x=-1
Answers
to do that, you have y - 3x = -1
you want to get y alone so add 3x to both sides
you’ll get y= 3x -1
so your m (slope) is 3
now your y intercept is always your constant which in this case is -1
answer: slope= 3x
y intercept: -1
Answer:
Step-by-step explanation:
Think of the equation y = mx + b
So the m is the slope and the b is the y-intercept
m/slope= 3 b/y-intercept= -1
help look at image above
Answers
Answer:
any number greater than 5 (so 6 and 8)
Step-by-step explanation:
since the expression on the left is supposed to be greater than 7, 5 cant be an answer because that will equal to 7. Therefore any number greater than 5 will work.
A new car is purchased for 20700 dollars. The value of the car depreciates at 11% per year. What will the value of the car be, to the nearest cent, after 11 years?
Answers
Answer:
5744. 61 cents
Step-by-step explanation:
5744. 61 cents
Because:
Explanation:
after 1 year:
20700×89%=18423
after 2 years:
18423×89%=16396.47
after 3 years:
16396.47×89%=14592.8583
after 4 years:
14592.8583×89%=12987.64389
after 5 years:
12987.64389×89%=11559.00306
after 6 years:
11559.00306×89%=10287.51272
after 7 years:
10287.51272×89%=9155.886323
after 8 years:
9155.886323×89%=8148.738828
after 9 years:
8148.738828×89%=7252.377557
after 10 years:
7252.37757×89%=6454.616026
after 11 years:
6454.616026×89%=5744.608263
~5744.61 (nearest cent)
Annette, Barb, and Carlita work in a clothing shop. One day the three had combined sales of $1480. Annette sold $140 more than Barb. Barb and Carlita combined sold $320 more than Annette. How much did each person sell?
Answers
Barb sold $440
Carlita sold $460
Whixh adds up to the total amount of $1480
Annette sold 580 which is 140 more than barb so 580-140= 440. Barb a carlita combined sold 320 more than Annette. We know Annette sold 580 so 580 +320 = $900 which it the combined total of what barb and carlita sold. We know barb sold 440 so 900-440= 460 which is the total amount that carlita sold.
Please actually answer this, don't just type random stuff i swear. Okay, has this been happening to anyone else? What's happening is I can't get a tutor at all, I am doing Mathematics too like- can someone help me, please don't answer this just for points.
Answers
Answer:
Finding a tutor for mathematics? If that's the problem
Step-by-step explanation:
Try asking friends, family, close people in your family about mathematics. Maybe they have the same problem and somehow got over it by studying, asking questions, or they have a tutor, etc
Try using that same method that they used. If none of them have problems, ask your parents about that. They might be willing to sit down and teach you a little bit...
I have always had problems with math so I am sorry if it doesn't work out for you
One way to get a tutor is to simply look up “Tutors near me” and there should be a good amount of people looking to help depending where you live.
Another way is to go through your school and ask if they could set you up with one. Whether it’s college, junior high, high school, they can set you up with a high level professor and / or high school student who’s qualified. This is how i got my tutor for mathematics in high school :)
One other way i know of is to go through a teacher, friend, or family member to see if there is anyone they know who’d be happy to help.
PLEASE HELP!
In the accompanying diagram of rhombus ABCD, diagonal AC is drawn. If m<CAD 30, find m<ABC.
Answers
anyone else trying to study but t i k t o k is being addicting
Answers
Step-by-step explanation:
yes I am how about you, I always get stuck on my assignments
Here are 5 lines on a coordinate grid:
Write equations for lines:
Answers
Answer:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
For the particular case of horizontal lines, those will be of the form:
y = constant.
The vertical lines will be of the form:
x = constant.
Let's start with line a, this is a vertical line, then will be:
x = constant.
To see the value of the constant, you need to see in which point it intersects the x-axis, in this case is in -4, then line a will be:
x = -4
For line b we have the same reasoning, in this case the line intersects the x-axis at x = 4, then line b is: x = 4.
Now for the horizontal lines:
Line c will be of the form:
y = constant
To find the value of the constant you need to see in which point the line intersects the y-axis.
In this case the line intersects the axis at y = 4.
Then this line can be written as: y = 4
For line d, we can see that it intersects the y-axis at -2, then this line will be written as:
y = -2.
For the case of line e we can use the first thing we wrote, let's find two points that belong to this line.
(0 , 1) and (4, -2)
Then the slope will be:
a = (-2 - 1)/(4 - 0) = -3/4
y = -(3/4)*x + b
To find the value of b, we can just replace the values of one of the points in the equation. I will use the point (0, 1), this means that we must replace x by 0, and y by 1.
1 = -(3/4)*0 + b
1 = b
Then the equation for line e is:
y = -(3/4)*x + 1.
An airplane flies 444 miles per hour. How far will the train travel in 3 hours?
I’m stuck help me someone
Answers
Answer:
8.8
Step-by-step explanation:
Answer:1,332
Step-by-step explanation:
Tickets for a carnival for a family of 4 costs $28. The ticket includes 1 food item and 3 games. (More Than 1 Answer)
Select ALL true statements below based on this information.
A The cost for 2 tickets is $20. The cost for 2 tickets is $20.
B The cost is $7 per ticket The cost is $7 per ticket
C For $42 you could get 6 tickets. For $42 you could get 6 tickets.
D 12 tickets would cost you $6012 tickets would cost you $60
Answers
Answer:
your answer is $42
Step-by-step explanation:
for $42 you could get 6 tickets for 42 you could get 6 tickets so your answer is letter c
Equation: -2(2x + y) = 28.
Answers
Answer:
x=-14-y/2
Step-by-step explanation:
divide both sides by -2
-2(2x+y)/-2=28/2
simplify
2x+y=-14
subtract y from both sides
2x+y-y=-14-y
simplify
2x=-14-y
divide both sides by 2
2x/2=-14/2-y/2
simplfy
x=-14-y/2
Triangle ACB with coordinates A(0,0), C(2,0), and B(2,4) is similar to triangle BED. If vertex D has coordinates (6,12), what are the coordinates of vertex E?
Answers
Answer:
A right triangle is a triangle that has 90 degrees angle in one of its parts. You are given two points that have coordinate:
x1,y1= (-2, 4)
x2,y2= (-1,1)
To make the angle 90 degrees, there is two possible third point coordinate:
1. x1, y2 = (-2,1)
2. x2, y1= (-1,4)
The right triangle would be option C: (-2,1)
Option A and B is not a right triangle
Step-by-step explanation:
Answer:
the coordinates of vertex E is (6,0)
C(2,0),compare this to(2,4)
same x.but y=0
(6,0)comparing to (6,12)
we get it
can you please give me a step by step? thank you!
Answers
Answer:
-3/2x +2
Step-by-step explanation:
To find slope: y value - y value over x value - x value
5-(-4) = 9
-2 -4 = -6
9/-6 = -3/2 after you divide each by gcf of 3
y intercept : plug in your y and x values (and your slope ) into the equation: y = mx+b (slope intercept form)
point 1 (-2,5): 5 = (-3/2)(-2)+b
5 = 3+b (subtract 3 from both sides)
2 = b (your y intercept)
Answer: y=[tex]\frac{-3}{2}[/tex]x+2
Step-by-step explanation:
1. Find the slope of the two coordinates by using the slope-intercept form:
Slope intercept form=(y₂-y₁)/(x₂-x₁)
(-4-5)/(4-(-2))
(-9)/(4+2)
-9/6 or -3/2
2. Now that we have the slope for these two coordinates, plug them into the point-slope formula.
Equation for point-slope: y-y₁=m(x-x₁), where m=slope
y-5=[tex]\frac{-3}{2}[/tex](x-(-2)
y-5=[tex]\frac{-3}{2}[/tex](x+2)
y-5=[tex]\frac{-3}{2}[/tex]x-[tex]\frac{6}{2}[/tex]
y-5=[tex]\frac{-3}{2}[/tex]x-3
(Add 5 to both sides)
y=[tex]\frac{-3}{2}[/tex]x+2
Solving an Equation for a Given Variable
The equation f= v + at represents the final velocity of an object. f. with an initial velocity, u, and an acceleration rate,
a, over time, t. Which is an equivalent equation solved for a?
Of-v =a
OL-v=a
V =a
OL+v=a
Answers
Find the value of x. Give reasons to justify your solution. D ∈ AC
Answers
Answer:
x = 13
Step-by-step explanation:
Find the diagram attached
From the diagram, the sum of angle of the straight line BCD is 180°. Hence;
<BCE+<ECF<90 = 180
<BCE+64+90=180
<BCE+154 = 180
<BCE = 180-154
<BCE = 26°
Next is to get x.
The sum of interior angles <BCE and <BEC is equal to exterior angle <ABE
<BCE + <BEC = <ABE
26+x = 3x
Collect like terms
26 =3x-x
26=2x
x = 26/2
x = 13
Hence the value of x is 13
HELPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE IT IS URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
12 - B
13 - No
14 - for every 2 feet of rope he pays about $1.50
hope this helps
Step-by-step explanation:
Andrew purchased a coat for $50.00 on sale for 25% off. What was the cost of the coat after the discount not including tax?
Answers
Answer:
$37.50
Step-by-step explanation:
Sale = $50.00 x 25% = $12.50
=> The coat after the discount = $50.00 - $12.50 = $37.50
$37.50
Step-by-step explanation:
Sale = $50.00 x 25% = $12.50
=> The coat after the discount = $50.00 - $12.50 = $37.50
Please help!!! Thank you!!!
Answers
Answer:
See below
Step-by-step explanation:
Statement | Reason
1. m∠A + m∠B + m∠C = 180° | 1. Angles in a triangle sum to 180°
2. 28° + x - 4° + 2x = 180° | 2. Substitution
3. x=(180° - 24°)/3= 156°/3°= 52° | 3. Algebra
Given the parent function and a description of the transformation, write the equation of the transformed equation, f(x).
1. Cubic—compress by 1/3 ______
2. Square Root —reflected over the x axis (opens down), vertical shift down 2. ______
3. Quadratic— stretch by 5, horizontal shift left 8. ______
Answers
Or H
Actually Z
What does 5000 x 5000?
Answers
Answer:
25,000,000
Step-by-step explanation:
5*5=25 and add the 6 zeros
please give thanks :)
Answer:
well for me
Step-by-step explanation:
I think
=25000000