Answers
Answer:
x = 30
Step-by-step explanation:
AB is a tangent to the circle so ∠ ABO = 90°
The sum of the 3 angles in a triangle = 180° , then
x + 2x + 90 = 180
3x + 90 = 180 ( subtract 90 from both sides )
3x = 90 ( divide both sides by 3 )
x = 30
Answer: x = 30
OA cuts the circle (O) at C
because ∠ABC is the angle created by tangent rays and chord
=> ∠ABC = 1/2.∠AOB = 1/2.2x = x
ΔOBC has OB = OC (are both radii)
=> ΔOBC is the isosceles triangle at O
=> ∠OCB = (180° - ∠COB)/2 = (180° - 2x)/2 = 90° - x
because ∠OCB is the outer angle of ΔABC
=> ∠OCB = ∠ABC + ∠CAB
⇔ 90° - x = x + x
⇔ 90 = 3x
⇔ x = 30
Step-by-step explanation:
Related Questions
A system of equations is given below.
{
5
x
−
2
y
=
3
3
x
−
y
=
4
{
5x−2y=3 3x−y=4
Which of these procedures will eliminate a variable in one of the equations in the system above?
A.
Multiply the second equation by –2 then add the result to the first equation.
B.
Multiply the second equation by 2 then add the result to the first equation.
C.
Multiply the first equation by –2 then add the result to the second equation.
D.
Multiply the first equation by 2 then add the result to the second equation.
Answers
By multiplying the second equation by -2, it makes the new equation -6x+2y = -8
When you add that to the first equation you get x=-5
The procedures will eliminate a variable in one of the equations in the system 5x - 2y = 3 3x - y = 4 is
A. Multiply the second equation by –2 then add the result to the first equation.
What are the types of solutions of a system f linear equations?If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.
There are only three matching forms of solution for a given system of equations because there are only three different ways that two straight lines in the plane can graph.
Given, A linear system,
5x - 2y = 3...(1) and 3x - y = 4...(2)
Now, To eliminate one of the variables 'x' or 'y' we can apply arithmetic operations to the linear operations.
Now, If we Multiply the second equation by - 2 and then add the result to the first equation we'll have,
- 6x + 2y = - 8
Now, Adding this to the eqn(1) variable 'y' gets cancelled and we have,
learn more about linear equations here :
https://brainly.com/question/29739212
#SPJ2
which translation is it?
Answers
that would move the shape into quadrant 2 which is (-x,y). making all the number positive in the y value
Choose ALL of the following that would simplify to 2x +1
1. 3 + x +X-1
2. 1/2(4x + 1)
3. 3x - 4x + 1
4. 1/3(6x + 3)
5. y + 2x - 5-y + 6
Answers
Answer:
4 and 5
Step-by-step explanation:explanation for how to evaluate ( number 5 )
5.
y+2x−5−y+6
=y+2x+−5+−y+6
Combine Like Terms:
=y+2x+−5+−y+6
=(2x)+(y+−y)+(−5+6)
=2x+1
A contractor is installing tiles on a floor that measures 132 x 216 inches. If each tile measures 4 x 4 inches, how many tiles will the contractor use to cover the floor?
Answers
Answer:
1782 tiles
Step-by-step explanation:
Given that:
Dimension fo floor = 132 x 216 inches
Area of floor = 132 * 216 = 28512 in²
Dimension of tiles = 4 * 4 inches
Area of tiles = 4 * 4 = 16 in²
Number of tiles needed to cover floor :
Area of floor / Area of tiles
28512 in² / 16 in²
= 1782 tiles
What number makes the equation true? [???] ÷ 8 = 4
Answers
Answer:
32
Step-by-step explanation:
math
................
Answer: 32
Step-by-step explanation:
If you divide 32 by 8 then you get 4
I have another question for all of you people who are very smart
Answers
Answer:
8.9
Step-by-step explanation:
Let X be the actual dimension for the Length
The ratio is 2/43
2/43 = x/129,
43x = 384,
x= 384/43,
~8.9
Answer:
i have no idea
Step-by-step explanation:
URGENT PLEASEEEE HELPPPP
Answers
Answer:
answer is 7.66666 so the answer is between 7 and 8
Step-by-step explanation:
Find the measure of <0
Answers
answer is C
hope that helps^^
Pls help 5 2 over 3 ÷ 3 over 2
Answers
17/3
hope it's helpful ❤❤❤❤❤❤
THANK YOU.
#
A radius is a chord.
True or false and why?
Answers
Answer:
True
Step-by-step explanation:
Radius is the length of line segment from center to any point on circumference of circle.
Thus, A Radius is a chord.
Write down the value of the 6 in the number 2693
Answers
Answer:
600
Step-by-step explanation:
The value of the 6 in 2693 is 600 because it is in the hundreths place.
(The 3 is in the ones place, the 9 is in the tens place, the 6 is in the hundreds place, and the 2 is in the thousands place.)
PLEASE HELP ILL GIVE BRAINILEST
How much interest will be earned on a $6,000 investment at 2.25% for 60 months?
Answers
Answer:
675
Step-by-step explanation:
pls help me with this
Answers
Answer:
4.50
Step-by-step explanation:
sin 40°= opposite/hypotenuse
sin 40°= opp/7
0.6428= opp/7
multiply both sides by 7
[tex]0.6428 \times 7 = \frac{opp}{7} \times 7 [/tex]
4.4996= opp
to nearest hundredth = 4.50
What is the solution to the equation x+7=−12?
is the question
hurry plss
Answers
Answer:
5+7=12
Step-by-step explanation:
simplify 5+7 to 12
12=12
x+7=12
Which expression is equivalent to 10x+9+10x+1010x+9+10x+10?
Answers
: 10x + 10x +1010+ 10x= 1040x
9+9=18
Answer 1014x+ 18
Step-by-step explanation:
Answer:
ybcdafhuaydf
Step-by-step explanation:
i
dsf
ds
fds
f
dsf
Roy and two friends are at a game center. Each person buys hot dogs for $3, fries for $2.49, and a drink for $2.50. They also have a coupon for $1 off each drink. Write an expression to represent the total cost. Then find the total cost.
Answers
Answer:
$20.97
Step-by-step explanation:
3 people, meaning to multiply each one by 3.
Total price of Hot Dogs= 9.00
Total price of Fries=7.47
Total price of Drinks=7.50
7.50 - 3= $4.50
9.00+7.47+4.50= $20.97
Figs come in 2.4 lb bags. Apples come in 7.2 lb bags. How many times as many pounds are the apple bags as the fig bags?
Answers
Answer:
3
Step-by-step explanation:
7.2 ÷ 2.4 = 3
Please help me
Solve the inequality.
8(x - 2) + 9<3(x - 1) + 5x
A. x <-7
B. X<-3
C. no solution
D. all real numbers
Answers
Answer:
D
Step-by-step explanation:
All real numbers are solution
Step 1: Simplify both sides of the inequality.
8x−7<8x−3
Step 2: Subtract 8x from both sides.
8x−7−8x<8x−3−8x
−7<−3
Step 3: Add 7 to both sides.
−7+7<−3+7
0<4
hope this help:)
Change 6 17/100 to a %.
Answers
Step-by-step explanation:
6 17/100=(6×100+17)/100=617/100×100%=617%i think
Does anyone know this
Answer this ASAP
Answers
she went up 20 instead of 2
Solve 2( 4x - 1) = 18
Answers
2 (4x - 1) = 18
8x - 2 = 18
8x = 20
x = 2.5
Answer:
x=2Step-by-step explanation:
Simplifying
2(4x + 1) = 18
Reorder the terms:
2(1 + 4x) = 18
(1 * 2 + 4x * 2) = 18
(2 + 8x) = 18
Solving
2 + 8x = 18
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2' to each side of the equation.
2 + -2 + 8x = 18 + -2
Combine like terms: 2 + -2 = 0
0 + 8x = 18 + -2
8x = 18 + -2
Combine like terms: 18 + -2 = 16
8x = 16
Divide each side by '8'.
x = 2
Simplifying
x = 2
What is the y-intercept of the equation:
y=-2/3 x - 12
A. -2/3
B. 12
C. -12
D. 2/3
Answers
Answer:
C
Step-by-step explanation:
In the equation y=mx+b, the b is your y-intercept.
What is the coefficient of the second term in this expression?
7 + 2n
Answers
Answer:
a2 = 11
Step-by-step explanation:
Plz help me on this question plzzz
Answers
Answer:
C
Step-by-step explanation:
C
We can write the radicals as follows
[tex]\frac{16^{1/2}}{49^{1/2}}[/tex]
Which is equal to
[tex](\frac{16}{49})^{1/2}=\sqrt[2]{16/49}[/tex]
C is equal to 4/7
Which is the square root of 16/square root of 49 simplified
The stock price for fwt was $42.61 in October. In November the stock had increased 7%, but in December the price fell by 7%. What was the price of fwt stock in December? Round your answer to the nearest cent, if necessary.
Answers
Answer:
$42
Step-by-step explanation:
The computation of the price of fwt stock in december is shown below:
In November, it would be
= Stock price in October × (1 + 0.07)
= $42.61 × 1.07
= $45.5927
In December it would be
= $45.5927 × (1 - 0.07)
= $42.40
= $42
Input in standard form the equation of the given line.
The line through (0, -3) and (3, 0)
Answers
when you have y=x you get a line that passes through (0,0) so in order for the line to hit the points you listed (0,-3)(3,0) you need to adjust the y-intercept by subtracting 3 from x
Plz help me...............
Answers
Slope of the line passing through (-2,4)(-8,8)
Answers
Answer:
-2/3
Step-by-step explanation:
Answer:
nm lol
Step-by-step explanation:
I did it wrong
Find the area of the trapezoid.
Answers
Hey mate ..
The formula of area of. trapezium is 1/2×(a+b)×h
where 'a' and 'b' are the "parallel sides" and 'h' is the height ..
So ..the answer is
1/2×(12.5+17.5)×6 =
1/2×30×60=
90cm^2
Answer:
90 cm²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h(b₁ + b₂ )
where h is the perpendicular height and b₁, b₂ the parallel bases
Here h = 6, b₁ = 17.5, b₂ = 12.5 , then
A = [tex]\frac{1}{2}[/tex] × 6 × (17.5 + 12.5) = 3 × 30 = 90 cm³
John bow 27 packets of paper plates, costing £52.65, for a dinner party that he was hosting. his wife reminded him that he should have bought 35 packets to cater everyone who was coming. how much would this have cost?