Answer:
21
Step-by-step explanation:
1/5 x 21 = 21/5
Find the value of X and prove the following
The value of the variable x can be determined using the circle theorem to
determine the angle formed by x.
The correct responses are;
(1) x = 30°(2) x = 100°(3) x = 60°Reasons:
(1) From circle theorem, we have;
Equal chords subtends equal arcs and vice versaEqual chords subtend equal angles at the center of a circleTherefore;
Angle subtended by [tex]\displaystyle \widehat {AB}[/tex] at center = Angle subtended by [tex]\widehat {BC}[/tex] at the center;
Angle at the center = 2 × Angle at the circumferenceTherefore;
Angle subtended by [tex]\displaystyle \widehat {AB}[/tex] at the circumference = Angle subtended by [tex]\mathbf{\widehat {BC}}[/tex] at the circumference
Which gives;
x = 30°(2) [tex]\displaystyle \widehat {AB} = \mathbf{\widehat {CD}}[/tex] given
Angle subtended by arc [tex]\widehat {CD}[/tex] at the center = x
Equal arcs subtend equal angles at the center of a circle.
Therefore;
Angle subtended by arc [tex]\mathbf{\widehat {AB}}[/tex] at the center = x
Angle at center = 2 × angle at circumference
Therefore;
x = 2 × 50° = 100°
x = 100°
(3) [tex]\displaystyle \widehat {AC} = \mathbf{ 3 \times \widehat {AB}}[/tex] given
By definition, we have;
Angle subtended by [tex]\widehat {AC}[/tex] at the center = 3 × Angle subtended by [tex]\widehat {AB}[/tex] at the center
According to circle theorem, we have;
Angle at the center = 2 × Angle at the circumference
Let y represent the angle subtended at the circumference by [tex]\widehat {AB}[/tex], we have;
y = 20°
[tex]\widehat {AB}[/tex] = 2·y
[tex]\widehat {AC}[/tex] = 3 × [tex]\widehat {AB}[/tex] = 3 × 2·y = 6·y
Therefore;
[tex]\widehat {AC}[/tex] = 6 × 20° = 120°
[tex]\widehat {AC}[/tex] = 120°
[tex]\widehat {AC}[/tex] = 2·x
Therefore;
2·x = 120°
[tex]\displaystyle x = \frac{120^{\circ}}{2} = \mathbf{ 60^{\circ}}[/tex]
x = 60°
Learn more circle theorems here:
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Please help, we're supposed to be writing an equation from the table here. But I don't know.
Answer:
y = 3x - 3
Step-by-step explanation:
This more of a guess than a reality of method. You have to try and guess which number when multiplied by 4 will give 9. It won't happen directly.
The best clue is provide by (0,-3).
So let's start with a general linear equation.
y = mx + b
If you put in 0 for x then mx disappears and you are are left with y = - 3
That means that b = - 3
So now you have
y = mx - 3
Now try another one
y = mx - 3
y = 9
x = 4
9 = mx - 3
9 = 4m - 3 Add 3 to both sides
9+3 = 4m-3+3 Combine
12 = 4m Divide by 4
12/4 = 4m/4
3 = m
So the equation you want so far, is y = 3x - 3 Does it work for anything else?
Try - 3 , - 12 . If it works for this, it should work for anything.
y = 3*-3 - 3
y = -9 -3
y = - 12
and it does work, so that's your answer.
Four runners formed a relay team at
Jan’s high school. The team completed
the relay in 3.86 minutes. Each runner
ran exactly the same time. What was
each runner’s time?
Which set of ordered pairs has a range of {0, 1,4}?
А
(0, 0), (0, 1), (4, 1)
B
(0, 2), (1, 2), (4, 2)
с
(0, 0), (0, 1), (0, 2), (0, 4)
D
(-1,0), (0, 1), (2, 1), (3, 4)
Answer:
D
Step-by-step explanation:
As you can see in the pic, range is the y-coordinate. C is not the answer bcs the range of C is {0,1,2,4}
Brainiest if good answer!
No links!!! I won’t view them
Given the system of linear equations:
{x+6y=6
y=1/3 x−2
Part A: Graph the system of linear equations.
Part B: Use the graph created in Part A to determine the solution to the system.
Part C: Algebraically verify the solution from a Part B
Answer:
QUESTION 1
The image attached shows the graph of the given system of equations. There you would notice that the solution is (-1,-5), which is the interception point.
To verify the solution algebraically, we need to multiply the first equation with -1 and then sum them up
Then, we use this value to find the other one
Therefore, the solution is (-1,-5), which is the same showed graphically.
QUESTION 2.
Using the same process as we did in the QUESTION 1. The image attached shows both lines and the interception point which is the solution. So, the solution is (6,0).
To verify the solution algebraically, we must multiply the second equation by -6
Then, we use this value to find the other one
Therefore, the solution is (6,0), the same showed graphically.
Step-by-step explanation:
If you don't get it
question 1
solution is (-1,-5)
question 2
solution is (6,0),
The solution to the system of linear equations x+6y=6 and y=1/3 x−2 is x = 6 and y = 0.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
The system of linear equations:
x+6y=6
y=1/3 x−2
Part A: Graph is shown in the picture.
Part B: The intersection point is (6, 0)
x = 6
y =0
Part C: By substitution method.
[tex]\rm x+6\left(\dfrac{x}{3}-2\right)=6[/tex]
x = 6
y = 0
Thus, the solution to the system of linear equations x+6y=6 and y=1/3 x−2 is x = 6 and y = 0.
Learn more about the linear equation here:
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if the interest rate is lower than the inflation rate, what happens for those who put money in a savings account.
Answer: Savers Lose
Step-by-step explanation: I had this question
5. What is 75% of 50?
Answer:
37.5
Step-by-step explanation:
multiply 50 by .75
same as
50/4=12.5+25=37.5
HELP ME PLEASEEE!!
48 degrees 96 degrees x =
Answer:
144°
96+48(further away angles)
Answer:
x = 144°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
x is an exterior angle of the triangle , then
x = 48° + 96° = 144°
Which is factorial using integers?
a) y+25
b) y^2-25
c) y^2+25
d) y-10
e) y^2+10
Answer:
i feel like its A or D i could be wrong but i believe its one of the two
Graph x + 3y = 6.
please help
this is the photo of a answer
Answer:
see attached
Step-by-step explanation:
Both coefficients are divisors of the constant, so the intercepts are integer values. This makes it easy to graph the line using the x- and y-intercepts.
x-intercept
Set y=0 and you get ...
x = 6
y-intercept
Set x=0 and you have ...
3y = 6
y = 2 . . . . divide by 3
__
The intercepts (6, 0) and (0, 2) are points on the line. Plot these points and draw the line through them.
What are ratio tables? Can you create 3 different ways to create a ratio table using your own exampl e? pls ik im asking alot of theese i dont wanna fail
Answer:
A ratio table shows pairs of corresponding values, with an equivalent ratio between each pair.
Step-by-step explanation:
i have linked 1 picture of a ratio table example
hope this helped
Hanna has 88cm of ribbon and cuts it in the ratio 5 : 6. How much longer is the longest piece and the shortest piece?
Answer:
8 cm
Step-by-step explanation:
sum the parts of the ratio, 5 + 6 = 11 parts
Divide the length of ribbon by 11 to find the value of one part of the ratio
88 cm ÷ 11 = 8 cm ← value of 1 part of the ratio , then
5 parts = 5 × 8 cm = 40 cm
6 parts = 6 × 8 cm = 48 cm
Then difference between lengths is 48 cm - 40 cm = 8 cm
longer piece is 8 cm longer than shortest piece.
Helpppppppppppppppppppppppppp
Answer:
The first one.
Please Help Question In Picture
Answer:
A
Step-by-step explanation:
Since Angle XYZ is equal to Angle YZX,
XY=XZ
The two triangles are congruent.So,
VW=YZ
XY=UV
XZ=UW
Thus;
XY=UV
XZ=UW
XZ=XY=UV=UW
So the permieter is 5.7 + 5.7 + 3.7 = 15.1 cm
Please help! I need answers
Hill family's sprinkler was on for 25 hours, while Moore family's sprinkler was on for 35 hours
Represent the time the Hill family and the Moore family use the sprinkler with H and M.
So, the total time is:
[tex]H + M = 60[/tex]
And the rate is:
[tex]25H + 20M = 1325[/tex]
Make H the subject in [tex]H + M = 60[/tex]
[tex]H= 60 - M[/tex]
Substitute 60 - M for H in [tex]25H + 20M = 1325[/tex]
[tex]25(60 - M) + 20M = 1325[/tex]
Open brackets
[tex]1500 - 25M + 20M = 1325[/tex]
Collect like terms
[tex]- 25M + 20M = 1325 - 1500[/tex]
[tex]- 5M = -175[/tex]
Divide both sides by -5
[tex]M = 35[/tex]
Recall that:
[tex]H= 60 - M[/tex]
So, we have:
[tex]H = 60 - 35[/tex]
[tex]H = 25[/tex]
Hence, Hill family's sprinkler was on for 25 hours, while Moore family's sprinkler was on for 35 hours
Read more about system of equations at:
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Kelly has a scarf that is 22 inches long. She folds the scarf in half
three times. How long is the scarf now?
Answer:
2.75 inches or 2 3/4 inches
Step-by-step explanation:
22 / 2 = 11
11 / 2 = 5.5
5.5 / 2 = 2.75
Can y’all help me plz.
Answer:
No. two inputs cannot have the same output
Step-by-step explanation:
This is not a function because -2 and 2 have the same output which is 4
HOPE THIS HELPS :)
K2. Calculate the total surface area of cuboids with the following dimensions (b) Length = 1.6 m, breadth = 80 cm, height = 120 cm
Answer:
15360m3
Step-by-step explanation:
a=l*w*h
1.6m*80m*120m
=15360m3
After the first four games of a professional football season, three players scored a total of 80 touchdowns.
Duke Johnson scored 14 of the touchdowns.
Josh McCown scored 40% of the touchdowns.
Andre Roberts scored the remaining touchdowns.
How many touchdowns did Andre Roberts score?
A.20 touchdowns
B.28 touchdowns
C.32 touchdowns
D.52 touchdowns
Answer:
b
Step-by-step explanation:
Andre Roberts scored a total of 34 touchdowns
An equation is an expression that shows the relationship between two or more variables and numbers.
The total touchdowns is 80.
Duke Johnson scored 14 of the touchdowns.
Josh McCown scored 40% of the touchdowns. = 40% of 80 = 0.4 * 80 = 32
Let x represent the number of touchdowns scored by Andre Roberts, hence:
x + 14 + 32 = 80
x + 46 = 80
x = 34
Andre Roberts scored a total of 34 touchdowns
Find more about equation at: https://brainly.com/question/2972832
Please find the equation for this ASAP
Answer:
y=-2x-3
Step-by-step explanation:
the slope is 2/1 going down and the y intercept is -3
What is k(-8) when given the function
k(x) = x +5 – 2x2?
The perimeter of a triangle is 56. The side lengths are x + 4, 3x + 7, and x + 9. What is the value of x?
Therefore, the value of x is 7.2.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
1/9 (2m - 16) = 1/3 (2m + 4)
Please follow the steps in the picture!
Answer:
1/9 (2m - 16) = 1/3 (2m + 4)
expand
2/9m- 16/9 =2/3m +4/3
move m to other side
- 16/9 =2/3m (-2/9m) +4/3
simplify
- 16/9 =(6-2)/9m +4/3
- 16/9 =4/9m +4/3
move 4/3 to other side
- 16/9 -4/3 =4/9m
- 16/9 -12/9 =4/9m
-28/9 = 4/9m
multiply by 9
4m= -28
m= -7
A certain amount of money is divided among Rio, Kim and Leo in the ratio 5:7:3. If Leo gets Php 24,000.00, how much is the total amount?
Answer:
120,000
Step-by-step explanation:
Let's say Rio gets 5x, Kim gets 7x, and Leo gets 3x. In the ratio 5:7:3:1, x = 1
5x + 7x + 3x = total = 15x
3x = 24000
divide both sides by 3 to get x
x = 8000
15x = 8000*15 = 120000
what is the domain of the function
Answer:
(a) -∞ < x < ∞
Step-by-step explanation:
Unlike the square root function, the cube root function is defined for all values of its argument. Here, x can take on any value and the function will be defined for that value.
-∞ < x < ∞
solve for x
2x +2 <14
6) The original price of a pair of shorts is $40.
They are on sale 30% off. What is the selling
price of the shorts?
Answer:
$28
Step-by-step explanation:
30% = 30/100 = 0.3
40 x 0.3 = 12
40 - 12 = $28
Evaluate to function for the given value of X
[tex]\text{Given that,}\\\\\\f(x) = 9x^3 -x^2 +2 \\\\f(2) = 9(2^3) - 2^2 +2\\\\~~~~~~~ = 9(8) -4 +2 \\\\~~~~~~~= 72 -2 \\\\~~~~~~~=70[/tex]
If the sum of the roots of the equation 3x² + kx + 1 = 0 is 7. then what the value of k
Answer:
The value of k is -21
Step-by-step explanation:
ax² + bx + c = 0
Sum of the roots = -b/a
3x² + kx + 1 = 0
= sum of the roots = -k/3
-k/3 = 7
Now, Multiply both side by (-3) we get,
(-3)-k/3 = 7(-3)
k = -21
Thus, The value of k is -21
-TheUnknownScientist 72
A group of fitness club members lose combined total of 28 kilograms in 1 week there are approximately 2.2 pounds in 1 kilogram assuming the weight loss happened at a constant rate about how many pounds did the group lose each day?
Answer:
8.8
Step-by-step explanation:
First turn 28 kilograms into pounds by multiplying 2.2 by 28. You end up with 61.6 pounds lost in one week. Next you take 61.6 divided by 7 to know how many pounds were lost in each day. You should end up with about 8.8 pounds.
Hope This Helps:)
Answer: 8.8
Step-by-step explanation: