Answer:
[tex] \boxed{x = 45°} [/tex]
Step-by-step explanation:
When two chords intersect at a point in a circle, they form arcs, along with angles at the intersection point.
To determine the angle of the arc, we must apply this geometric rule:
[tex] Angle \: formed \: by \: chords = \frac{1}{2}(sum \: of \: intersecting \: arcs) [/tex].
Since we are looking for one of the arcs, we can rearrange this formula to solve for the first arc.
[tex] Angle \: formed \: by \: chords = \frac{1}{2}(sum \: of \: intersecting \: arcs) [/tex] →
[tex] Angle \: formed \: by \: chords = \frac{1}{2}(\overset{\frown}{BA} + \overset{\frown}{CD}) [/tex] →
[tex] 2 × Angle \: formed \: by \: chords = \overset{\frown}{BA} + \overset{\frown}{CD} [/tex] →
[tex] 2 × Angle \: formed \: by \: chords \: – \: \overset{\frown}{CD} = \overset{\frown}{BA} [/tex]
[tex] \overset{\frown}{BA} = 2 × Angle \: formed \: by \: chords \: – \: \overset{\frown}{CD} [/tex]
[Given]
[tex] \overset{\frown}{BA} = x° [/tex]
[tex] \overset{\frown}{CD} = 99° [/tex]
[tex] Angle \: formed \: by \: chords \: = 72° [/tex]
→
[tex] \overset{\frown}{BA} = 2 × Angle \: formed \: by \: chords \: – \: \overset{\frown}{CD} [/tex]
→
[tex] x° = 2 × 72° \: – \: 99° [/tex]
[tex] x° = (2 × 72°) \: – \: 99° [/tex]
[tex] x° = 144° \: – \: 99° [/tex]
[tex] \boxed{x° = 45°} [/tex]
What is 1/2b x 6/10 ?
Answer:
the answer to this question is 2.4b
The length of a rectangle is four times the width minus three. If the perimeter of the rectangle is 64 meters, what is the length?
Answer:
L = 25 m
Step-by-step explanation:
L = 4W - 3
perimeter = 2(L + W)
64 = 2(4W - 3 + W)
divide both sides by 2:
32 = 5W - 3
add 3 to each side:
5W = 35
divide both sides by 5:
W =7
L = 4(7) - 3 = 25
help me with this please
GODD SOMEONE HELP ME RIGHT NOW PLEASE THIS IS DUE TODAY AND I AM DUM I GIVE POINTS AND BRAINLIEST JUST HELP MEEE
Answer:
-5 and -6
Step-by-step explanation:
For trinomial factoring, you need two numbers that add up to get the -11x and two numbers that multiply to get 30.
-5 + (-6) = -11
-5 × -6 = 30
What is the reciprocal of 1/x^3
Answer:
x^3
Step-by-step explanation:
reciprocal is 1/(given value)
1/(1/x^3)
=x^3
What percent is represented by the shaded area?
Write an expression that matches; “8 less than z”
Answer:
ᗴ᙭ᑭᖇᗴՏՏIOᑎ:[tex]z - 8[/tex]
if the area of the rectangle is 80m squared, what is the length?
Answer:
There's an infinite number of solutions.
Step-by-step explanation:
You said rectangle.
Although:
If you meant square it's [tex]\sqrt{80}[/tex] which is approximately 8.94427191
I am failing a class and my mom is having a conference with the teacher who is failing me but it's partially my fault because i didn't submit some assignments! What would you say during the conference to convince your teacher to let you make up the assignments?
Answer:
Bring up your mental health. This pandemic is really taking a toll on peoples mental health and online classes don't make it any better. Bring up how you know you can do better and how you will do better in the future.
Step-by-step explanation:
4.
Find the slope of the line.
A. 2/3
B. 3/2
C. -2/3
D. -3/2
Answer:
B 3/2
correct if I'm wrong
Answer:
B. 3/2
Step-by-step explanation:
PLS HELP PLSSS HELP!
In circle o,find the value of x, rounded to the nearest tenth.
Answer:
x = 6
Step-by-step explanation:
The line marked 16 is a chord.The line marked 20 is a diameter.1/2 the diameter is a radius.The radius = 1/2 20 = 10The value x meets 16 at it's midpointIt is given to be 90 degrees.The part of the radius meets the chord at its midpoint.The meeting point to the circumference is 8 units.The Pythagorean Theorem applies.10^2 = 8^2 + x^2100 = 64 + x^2100 - 64 = x^236 = x^2x = 6
Please help me I can’t fail this
Answer:
A
hope this helps :)
In a game involving a standard deck of 52 playing cards, an individual randomly draws 7 cards without replacement. Let y = the number of kings drawn. Is y a binomial variable? Why or why now?
Answer:
Step-by-step explanation:
By definition, we will see that y is a binomial variable.
Here the variable "y" represents:
y = "number of kings drawn"
When we draw 7 cards out of a 52 cards deck.
So there are 5 possible values of y:
y = 0y = 1y = 2y = 3y = 4A binomial variable is a variable that represents two outcomes, for example, if we used the variable x = "drawing a king" 7 times, then x is a binomial variable, because it has two outcomes, or you draw a king, or you don't.
A binomial variable can also represent the number of outcomes of each type for several events like x (the one defined above). This is what y does, it counts how many times the outcome of "x" is "drawing a king" for a sequence of 7 draws.
Then y is a binomial variable.
If you want to learn more about binomial distributions, you can read:
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Find the area for each trapezoid.
Answer:
A=130
Step-by-step explanation:
Gretel peeked around the bush and spied 345 leprachauns gathered in the glen. If this was 15 percent more than Petros spied under the tree, how many leprachauns did Petros spy?
A survey found that 68% of book buyers are 40 years old or older. If two book buyers are selected at random, what is the probability that both are 40 years old or older?
Answer:
15%
Step-by-step explanation:
In a kindergarden class of 19 students, 100 addition problems can be completed in a mean time of 6 minutes. The
standard deviation is 1 minute.
How many students will finish before 5 minutes?
Answer:
3 students
Step-by-step explanation:
Two ways you can do this:
1. If you have a graphic calculator you can find the normal distribution function and enter the following values to get the probability of a student finished in less than 5 minutes:
Lower: 0
Upper: 5
Standard Deviation: 1
Mean: 6
This gives a probability of: 0.1587 (4.d.p)
2. You can use the formula and find the probability using the Z-table.
[tex]Z = \frac{x - \mu}{\sigma}[/tex]
Substitute known values:
[tex]Z = \frac{5 - 6}{1}\\Z = -1/1 = -1\\[/tex]
It is one standard deviation to the left of the mean,.
Look up on Z-score table and we get: 0.1587 (4.d.p)
Now we need to find expected number. We do this by multiplying the probability by the amount of people:
0.1587 x x19 = 3.0153 rounded to 3 students.
Hope this helped!
Answer:
3
Step-by-step explanation:
Consider the diagram below. Given tir tix til Which triangle was constructed congruent to the given triangle?
Answer: The anwser is Triangle 2
The given triangle is congruent to the second triangle because they same construction methods and the have same size and same shape.
What is the congruent triangle?Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.
We have given a congruent triangle in the picture.
After close observation, the second triangle has the same size and the same shape, and the same construction method by arc method.
Other triangles have different construction methods.
Thus, the given triangle is congruent to the second triangle because they same construction methods and the have same size and same shape.
Learn more about the congruent triangle here:
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An air mattress originally containing 24 cubic feet of air was deflated at a rate of 3 cubic feet of air per minute.
Which of the graphs correctly models the situation?
I had this question on a quiz. The answer is B if I remember correctly.
What is the distance in units from (2, -12) to (-11, -12)
20 POINTSSS
HURRY PLEASEEEE
Answer:
d= (-11-2)^2 + (-12--12)^2
d= (-13)^2 + (0)^2
d=169
square root the 169
answer is 13
that's the distance from (2, -12) (-11, -12)
hope that helps
Step-by-step explanation:
The distance between the points A ( 2 , -12 ) and B ( -11 , -12 ) is 13 units
What is the distance of a line between 2 points?
The distance of a line between 2 points is always positive and given by the formula
Let the first point be A ( x₁ , y₁ ) and the second point be B ( x₂ , y₂ )
The distance between A and B is D , and the distance D is
[tex]Distance D = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2} }[/tex]
Given data ,
Let the distance between the two points be = D
Let the first point be represented as = A
The value of A = A ( 2 , -12 )
The second point be represented as = B
The value of B = B ( -11 , -12 )
Now , the distance between the points A and B is given by the equation of distance formula
[tex]Distance D = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2} }[/tex]
Substituting the values in the equation , we get
[tex]Distance D = \sqrt{(-12-(-12)^{2} + (2-(-11))^{2} }[/tex]
On simplifying the equation , we get
[tex]Distance D = \sqrt{(0 + (2+11))^{2} }[/tex]
[tex]Distance D = \sqrt{(13)^{2} }[/tex]
[tex]Distance D = 13[/tex]
Therefore , the value of D is 13
Hence ,
The distance between the points A ( 2 , -12 ) and B ( -11 , -12 ) is 13 units
To learn more about distance between 2 points click :
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PLease help!!
The last screen shot is the fourth option!!
Answer:
the answer is A
money spent on shirts 5*15=75
money spent on pants 4*10=40
total money 40+75=m
What type of association would you expect to see between the amount of fog in the sky and the distance a pilot can see?
positive association
negative association
no association
not enough information to tell.
I need help with this
3 (x - 4)= 2x + 6
Answer:
x=18
Step-by-step explanation:
3(x-4)=2x+6
3x-12=2x+6
3x-2x=6+12
x=18
Answer:
[tex]3(x - 4) = 2x + 6 \\ 3x - 12 = 2x + 6 \\ 3x - 2x = 6 + 12 \\ x = 18[/tex]
Hope it helps!
Find P(A') given that P(A) = 0.75
Answer:
I'm not sure what you're asking if P (A) = 0.75 P(A) is equal to 0.75
Choose the correct choice for the product Tu:
f
[1]
o
O Undefined
DONE
The resulting matrix creates an image that is a
reflection across the
DONE
Answer:
[-1,4] and line y = -x
Step-by-step explanation:
Answer:
B. [tex]\left[\begin{array}{ccc}1\\-4\end{array}\right][/tex]
B. line y = -x
Step-by-step explanation:
edge :)
have a lovely day <3
If steak costs $12.55 per pound, what will be the total cost of 0.6 pounds of steak?\
Answer:
Solve for X; whereas lb=pound, $=cost
1lb = $12.55
0.6lb = $X; therefore 6/10 lb = $X
Rewrite:
$12.55/1 lb = $X/6/10 lb; therefore $12.55/1 lb = 10/6(X); 10X=$12.55(6); 10X=$75.30; X=$75.30/10
X=$7.53 for .6 lbs.
Answer:
7.53
Step-by-step explanation:
how do you write 6.72x10^4 power in standard form
Answer:
It would be 67200.
Step-by-step explanation:
You just have to move the decimal point 4 times to the right.
Hope this helped you out!!
Solve the following quadratic formula and enter the solutions below from smallest to largest. Round to the nearest tenth if necessary.
Equation: 4x2+8x+7=4
Solution: Answer
and
Answer:
[tex]\:x=-\frac{3}{2},x=-\frac{1}{2}[/tex]
Step-by-step explanation:
Subtract 4 from both sides:
[tex]4x^2+8x+7-4=4-4[/tex]
Simplify:
[tex]4x^2+8x+3=0[/tex]
Solve with the quadratic formula:
[tex]x_{1,\:2}=\frac{-8\pm \sqrt{8^2-4\cdot \:4\cdot \:3}}{2\cdot \:4}[/tex]
[tex]x_{1,\:2}=\frac{-8\pm \:4}{2\cdot \:4}[/tex]
Separate the solutions:
[tex]x_1=\frac{-8+4}{2\cdot \:4},\:x_2=\frac{-8-4}{2\cdot \:4}[/tex]
The solutions to the quadratic equation are:
[tex]\:x=-\frac{3}{2},x=-\frac{1}{2}[/tex]
In three to five sentences, explain the importance of sentence structures in good writing.
Answer:
Sentence structure needs to simple, standalone, Grammarly justified and able enough to convey the writer thoughts and feelings clearly
Step-by-step explanation:
Sentence structure is very essential to convey the idea of the writer clearly. It is just like the skeleton of a write up and hence its framework needs to be clear and able enough to express the real sense. The structure of sentence needs to be complete with adequate grammar and punctuations. A good sentence must be able to express a complete idea on its own.
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