X and Y are center of circles which intersect at A and C. XA and XC are produced to meet at B and D. Prove AB = CD.
Answers
Answer:
On the diagram, construct lines BY, XY and DY.
Now, consider triangles ΔXBY and ΔXDY. We can say that these triangles are congruent by the SAS postulate (they share side XY, XY bisects ∠BYD so ∠BYX=∠DYX, and BY=DY=radius). If they're congruent, their sides are the same so BX=DX.
BX=DX
AB+radius = CD +radius
AB=CD
Related Questions
A bowl is in the shape of a hemisphere. The radius of the bowl is 10 centimeters. How many liters of water can the bowl hold?
(1,000 cm = 1 liter)
Answers
Answer:
The bowl can hold 2.094 L.
Step-by-step explanation:
We want to find the volume of the hemisphere to calculate how many liters the bowl can hold. To find the volume of a hemisphere, we use this equation:
V = (2/3)•(π)•(r)³
Let's plug in what we know.
V = (2/3)(π)(10)³
Evaluate the exponent.
V = (2/3)(π)(1000)
Multiply.
V = 666.667π
V = 2094.395 cm³
Remember that 1000 cm = 1 liter, and we want to know how many liters the bowl can hold.
= 2094.395/1000
= 2.094 L
The bowl can hold 2.094 L.
Hope this helps!
the least divisor of 78 is?
Answers
Answer:
Divisors of 78 1,2,3,6,13,26,39,78
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 6.5 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 26 engines and the mean pressure was 6.6 pounds/square inch with a standard deviation of 1.0. A level of significance of 0.01 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
Answers
Answer:
The calculated value t = 0.510 < 2.7874 at 0.01 level of significance
The null hypothesis is accepted at 0.01 level of significance
The engineer designed the valve such that it would produce a mean pressure of 6.5 pounds/square inch
Step-by-step explanation:
Step:-1
Given that mean of the population (μ) = 6.5 pounds/ square inch
Given that the sample size 'n' = 26
Given that mean of the sample ( x⁻) = 6.6 pounds/ square inch
Given that the standard deviation of the sample (σ) = 1.0
t₀.₀₁ = 2.7874
Step:-2
Null hypothesis:H₀: μ = 6.5
Alternative Hypothesis:H₁: μ ≠6.5
Test statistic
[tex]t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }[/tex]
[tex]t = \frac{6.6-6.5}{\frac{1.0}{\sqrt{26} } }[/tex]
t = 0.510
The calculated value t = 0.510 < 2.7874 at 0.01 level of significance
Final answer:-
The calculated value t = 0.510 < 2.7874 at 0.01 level of significance
The null hypothesis is accepted at 0.01 level of significance
The engineer designed the valve such that it would produce a mean pressure of 6.5 pounds/square inch
step by step
answer
please
Answers
Answer:
C. 15
Step-by-step explanation:
∠ADC=∠ABC/2=30/2=15Simplify the algebraic fractions
Answers
Step-by-step explanation:
x²-9/x²-3x
x²-9 simplifies to (x+3)(x-3)
x²-3x simplifies to x(x-3)
cancel out the common term of (x-3) from the numerator and denominator to obtain
x+3/x
What does a data distribute look like if it's MAD equals zero
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Answer:
Because a MAD is the average of distances, which can never be negative, the MAD is always zero or a positive number.
Find the value of x.
Answers
Answer:
x equals -5. hope this helps:)
Select How many numbers are 10 units from 0 on the number line?
Answers
Answer:
2 numbers are 10 units from 0
Step-by-step explanation:
2 numbers are 10 units from 0. If you start from zero and count 10 units to the right, you should be at a positive number. But, you can also move 10 units to the left. If you do this, you should be at a negative number that is ALSO 10 units away from 0, just in a different direction than positive number. both are 10 units from 0. There always 2 numbers, one 10 units to the right of zero, and one 10 units to the left of zero. Hope this helped! Tell me if I'm wrong or right.
Answer: 2 numbers
Step-by-step explanation:
I'm assuming you are talking about a normal number line and if so, you can count 10 units up and down.
When you do that, you find -10 and 10 which are two numbers so the answer would be 2 numbers
This is assuming that you are talking about a normal number line
Please tell me if I'm right or wrong and I hope this helps someone!
Solve for x using
cross multiplication.
2x + 2 = x-4
11
6
x = [?]
Enter
Answers
you would cross multiply meaning 6(2x+2)=11(x-4) Then you distribute 6 so it would be 12x+12=11x-44 then you have to move the constant and the variable so 12x-11x= -44-12 so then the answer would be x = -56
Which figure can be formed from the net?
Answers
Answer:
Option B
Step-by-step explanation:
The figure that can be formed from the net must definitely be the figure that has a square base with its side measuring 4 cm each and a slant height of 6 cm.
This, the figure in option B can be formed form the net because it has the same base measurement of 4 cm and slant height of 6 cm as with the net.
Which numerator makes the statement true enter the correct answer in the box 1/4<5/12< /6?
Answers
Answer:
3/6
Step-by-step explanation:
1/4 is less than 5/12
5/12 is less than 3/6
1/4 is also less than 3/6
Answer:
.ndmmdmdmdmndndndndnnxnd
Step-by-step explanation:
.
PLEASE HELP ME WITH THOSE TWO QUESTIONS
1) How many radians are in a quarter of a circle?
2) How many degrees are in 11π over 6?
Answers
Answer:
1) about 1.57 radians
2) I'm not sure about this one sorry
Help please!!! No bots!!!!
Answers
Answer:
Step-by-step explanation:
it's passing thur quad I and III
can someone answer my previous question pleaseeee
Answers
Answer:
all done bud, I'm just here for the extra points :D
John is going to plant spinach in a rectangular area of his garden. The rectangle is 11 feet long and 7 feet wide. What is the area of this rectangle
Answers
Answer:
Step-by-step explanation: A=wl=7·11=77
Answer:
75 sq ft i think
Step-by-step explanation:
I’ll give points + brainalist, please help!!
Answers
Help me plsssssssssssssssss
Answers
Answer:
B I am pretty sure
Step-by-step explanation:
Answer the questions below based on the graph of the quadratic function f(x)f(x) and a table of selected values of the quadratic function g(x).g(x).
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The functions f and g have the same axis of symmetry, and the y-intercept of f is less than the y-intercept of g.
How to interpret the functions f(x) and g(x)Using the attached figure as a guide, we have the following summary
Graph of f(x)
The y-intercept: y = 5Axis of symmetry: x = 2The x-intercept: x = -1 and x = 5Table of g(x)
The y-intercept: y = 8Axis of symmetry: x = 2The x-intercept cannot be determinedFrom the above summary, we can see that the functions have the same axis of symmetry but different y-intercepts
Read more about quadratic functions at:
https://brainly.com/question/7691731
A two-sample t-test for a difference in means was conducted to investigate whether the average wait time at a fast food restaurant in Town A was longer than the average wait time at a fast food restaurant in Town B. With all conditions for inference met, the test produced a test statistic of t=2.42 and a p-value of 0.011.
Based on the p-value and a significance level of α=0.02, which of the following is a correct conclusion?
Answers
Answer:
B
Step-by-step explanation:
just did the test
Please help ASAP
Please help
No links please
Answers
Answer:
base = 3 units
height = 5 units
area = 1/2 x 3 x 5 = 7.5 square units
Answer:
[tex]b[/tex] = 3 units
[tex]h[/tex] = 5 units
[tex]a[/tex] = 7.5 units
Step-by-step explanation:
We can find the base of the figure by counting the number of units from the left to the right of the triangle. So, we can find that the base is 3 units.
The height of the figure can be found by counting how many units the figure measures from the tip to the bottom. The height, then, is 5 units.
The easiest way to find the area of a right triangle is to imagine it as a rectangle, with the same [tex]l[/tex] (length) and [tex]w[/tex] (width) dimensions, and then divide the area of the rectangle by two.
So, to find the area of this rectangle, multiply the length and width, 3 and 5, together.
3 · 5 = 15
Then, we can divide this product by two.
[tex]\frac{15}{2}[/tex] = 7.5
The area is 7.5 units².
Hope this helped :] Good luck!
4
Find the area of a hexagon with a radius of 8. Round the answer to the nearest tenths.
Apothem =
Area (Rounded) =
Answers
Area (rounded)- 166.3
can someone help me please :(
Answers
the diamiter is 125 meters because
Find the distance between the lines with equations -2x + 6y - 9 = 0 and y = 1/3x - 2
A. 3.34
B. 3.32
C. 3.33
D. 3.35
Answers
Answer:
I'm not to sure but I went over this and I say it's C
Answer:
sorry its so late, but its b :)
Step-by-step explanation:
1. Which of the following best approximates the measure of 2?
a. 10
b. 20
c. 30
d. 45
Answers
Brainliest for correct answer asap
Answers
Answer: A
Step-by-step explanation: sorry hope that right
I think it’s - A
sorry if wrong v( ‘.’ )v
I need help pls right now
Answers
Answer:
what number
Step-by-step explanation:
what number do you need to know
Jeff bought 7 pounds of chocolate
and spent $8.89. How much is one
pound of chocolate?
Answers
Answer:
1.27
Step-by-step explanation:
Answer:
$1.27
Step-by-step explanation:
Divide the total cost by the number of things you have to get the unit cost. Unit cost is the amount per item
$8.89/7 items = $1.27 per 1 pound of chocolate
HELP THIS IS FOR TODAY HELP!!!! THANK YOU TO WHOEVER ANSWER'S
Answers
Answer:
9,000 feet per minute
Step-by-step explanation:
A triangular prism is shown.
What is the surface area of the triangular
prism?
Answers
Answer:
Area= 840
Step-by-step explanation:
Area= (20x13)x2+(10x12x1/2)x2+10x20
=520+120+200
=840
Area=Two area of the triangle [13x20] + Two area of the rectangle + Under area (rectangle)- [10x20]Simplify:
4n + 6 -(5n+3)
A. -n +3
B. -n +9
C. 9n + 3
D. 9n +9
Answers
Answer:
Answer is A.
-n+3
Step-by-step explanation: