Find the value of X and Y that make these triangles congruent by the HL theorem.
Answer:
x=5, y=6
Step-by-step explanation:
By the HL theorem, if the corresponding hypotenuses and one side of two triangles are equal, they are congruent.
So put the hypotenuses equal to each other, and put the side lengths equal to each other.
3x-2=2y+1
x=y-1
Sub 'y-1' into the first equation for x:
3(y-1)-2=2y+1
3y-3-2=2y+1
y=6
x=y-1=6-1=5
what is 1+1-(3x3)-(1x9)
What is the step by step to get this answer I got
Answer:
x = -4, -2
Step-by-step explanation:
Given equation is,
x² + 6x + 8 = 0
Let the equation to be graphed is,
y = x² + 6x + 8
y = x² + 2(3x) + 9 - 1
y = x² + 2(3x) + 3² - 1
y = (x + 3)² - 1
Table for the Input-output values
x -6 -4 -3 -2 -1 0
y 8 0 -1 0 3 8
Now we can plot these points on the graph as attached.
Since, this graph is intersecting x-axis at x = -4, -2
Therefore, solutions of the given equation will be x = -4, -2
Translate this sentence into an equation. The sum of 16 and Delia's height is 74. Use the variable d to represent Delia's height.
Two lines intersect, and you know the measure of one angle. How can you determine the measures of the other three angles
Answer:
Opposite angles are the same measure.
Angles around a point = 360°
When you add all the angles, you get 360.
Angle a and b would measure the same and so would angle d and c. So you double the measure for one of those angles and subtract it from 360.
Then, you half that value( divide by 2) and this is to find the measure of the other angle
In the first region are located 6 Rattatta Pokemon hidden in the grass at any given time and 8 Pidgey Pokemon. What would be the probability of running a Rattatta Pokemon?
Assume that 200 babies are born to 200 couples treated with the XSORT method of gender selection that is claimed to make girls more likely. Preliminary results from a test of the XSORT method of gender selection involved 200 couples who gave birth to 115 girls and 85 boys. At significance level of 0.1, test whether the proportion of girl births after the treatment is greater than the 50% that occurs without any treatment (optional: show your work of the hypothesis testing in paper). Answer the next three questions
a. test statistic =
b. p-value =
c. What is your decision?
Answer:
a) test statistic = 2.12
b) p-value = 0.017
c) we reject the Null hypothesis
Step-by-step explanation:
Given data :
N = 200
girls (x) = 115 , Boys = 85
p = x / n = 115 / 200 = 0.575
significance level ( ∝ ) = 0.1
aim : test whether the proportion of girls births after the treatment is greater than 50% that occurs without any treatment .
A) Determine the test statistic
H0 : p = 0.5
Ha : p > 0.5
to determine the test statistic we will apply the z distribution at ( ∝ ) = 0.1
Z - test statistic = ( 0.575 - 0.5) / [tex]\sqrt{0.5*0.5 / 200}[/tex] = 2.12
b) determine the p-value
The P-value can be determined using the normal standard table
P-value = 1 - p(Z< 2.12 ) = 1 - 0.9830 = 0.017
c) Given that the p value ( 0.017 ) < significance level ( 0.1 )
we will reject the H0 because there is evidence showing that proportion of girls birth is > 50%
What is 3/4-5/8?
? Give your answer in its simplest form.
Answer:
1 over 8
1
8
=0.125
Step-by-step explanation:
What is the measure of the angle in standard position 30 330 -60 -30
HELP CAN SOMEONE TELL ME THE ANSWER I CANT GET A BAD GRADE.
Answer:
34.1cm^2
Step-by-step explanation:
Area of triangle = 1/2 x base x height
=1/2 x6.2 x11
=34.1cm^2
Please help me fast!
Find the surface area of this cone. Show your work.
Answer:
The answer is 628 meters.
Step-by-step explanation:
The area for surface of a cone is pi times the radius (radius plus the square root of the height squared plus the radius squared).
Lol, i know this is really confusing, just look up surface area of a cone formula.
Height squared = 15 * 15 = 225
Radius squared = 8 * 8 = 64
225 + 64 = 289
The square root of 289 is 17
17 + 8 = 25
3.14 * 8 = 25.12
25.12 * 25 = 628 meters.
Could I get Brainliest please?!?!
69 to the power of 2
Answer:
4761
Step-by-step explanation:
69 times 69 since it is to the power of 2.
Answer:
4761
Step-by-step explanation:
[tex]69 *69=4761[/tex]
please give brainliest I need to feed my children
Consider the sequence of steps to solve the equation: 3(x - 4) + 5x 9x - 36
Given => 3(x-4)+ 5x 9x - 36
Step 1 = 3x - 12 + 5x-9x - 36
Step 2 -> 3x + 5x - 12-9x - 36
Step 3 8x - 12 - 9x - 36
Step 48x - 8x - 12 - 9x - 8x - 36
Step 5 => 0 - 12 - x - 36
Step 6-12 - 36
Step 7-12 + 36 x - 36 + 36
Step 8 = 24 x +0
Step 9 = 24 - x
Which property yields Step 1?
3)
A)
Distributive Property
B)
Multiplicative Identity
Multiplication Property of Equality
Answer:
Distributive Property
Step-by-step explanation:
You are distributing 3 to x and -4
3. 8.F.1.3
Which of the following equations represents
a linear function?
A. y = 3x2
B. y = 2-
C. y = 4x+6
D. y = -x + 3
Round to the nearest whole dollar: $9.49
Answer: $9
Step-by-step explanation: Rounding $9.49 to the nearest dollar consider the tenths’ value of $9.49. Which is 4 and less than 5. Therefore, we have to round the amount down: the dollar ones place value of $9.49, $9, remains $9, and the decimal point and all digits (.49) are removed.
Which expression has the greatest value?
Answer:
=8⁴√³
8⁴=2¹²
12÷3=4
2⁴=16
16=16²√
=64²√³
64=4³
6÷3=2
4²=16
=16³√
16=4²
6÷2=3
4³=64
so the answer is 16^3/2
Please help!! Math
What is the missing value of the missing angle?
A. 43*
B. 133*
C. 90*
D. 47*
4. Paolo is filling a cylindrical water bottle. Unfortunately it is too big to fit in the sink he is filling up at so he has to use cone cups to fill up the bigger water bottle. The cone cups have a radius of 1 in, and a height of 3 in. how many cone cups would it take to fill the cylindrical water bottle?
Answer:
The answer is below
Step-by-step explanation:
The question is not complete, we need to be given the dimensions of the big cylindrical water bottle. Let us assume, that the big bottles has a dimension of radius 3 in and height 5 in.
Solution:
Firstly, we need to find the volume of the big cylindrical bottle, then we find the volume of the small cone.
Volume of the cylindrical bottle = πr²h = π(3²)5 = 45π in³
Volume of the small cone = πr²h/3 = π(1²)(3/3) = π in³
Therefore the number if cups required to fill the water bottle is the ratio of the volume of the cylinder to the volume of the small cone. Hence:
number of cone cups = 45π in³ / π in³ = 45 cups
Hence 45 cups of the cone would be needed to fill the cylindrical bottle
A lock has a 3-number code made up of 15 numbers. If none of the numbers are allowed to repeat, how many different ways can you choose three different numbers in order for a unique code?
Answer:2730
Step-by-step explanation:
The number of ways we can choose three different numbers in order for a unique code for this case is 2730
How many ways k things out of m different things (m ≥ k) can be chosen if order of the chosen things doesn't matter?We can use combinations for this case,
Total number of distinguishable things is m.
Out of those m things, k things are to be chosen such that their order doesn't matter.
This can be done in total of [tex]^mC_k = \dfrac{m!}{k! \times (m-k)!}[/tex] ways.
If the order matters, then each of those choice of k distinct items would be permuted k! times.
So, total number of choices in that case would be:
[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]
This is called permutation of k items chosen out of m items (all distinct).
Given that:
The considered lock as a 3 number codeThere are 15 numbers available.None of the number can repeat.In a lock, the order of the way numbers are arranged matters.
Because of no repetition allowed, we can simulate this situation as:
The number of ways we can choose 3 numbers out of 15 numbers with order = The number of different ways we can choose three different numbers in order for a unique code.
And we have:
The number of ways we can choose 3 numbers out of 15 numbers with order = [tex]^{15}P_3 = \dfrac{15!}{(15-3)!} = \dfrac{15 \times 14 \times 13 \times 12!}{12!} = 2730[/tex]
Thus, the number of ways we can choose three different numbers in order for a unique code for this case is 2730
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The weights of 11 swimmers in the team were recorded by the coach and the average
weight was 86 pounds. Three swimmers whose weights were 88 pounds, 79 pounds,
and 83 pounds left the team. What was the new average?
Answer:
87
Step-by-step explanation:
87 x 11= 946
946-88-79-83=696
696/8 = 87
VERY URGENT PLEASE HELP!!!!
Kaitlin's penny bank is 1/2 full. After she adds 120 pennies, it is 2/3 full. How many pennies can Kaitlin's bank hold?
Answer:
720 I think not sure if im right
Answer: 720 pennies
Step-by-step explanation:
1/2 = 3/6 and 2/3 = 4/6
So the 120 pennies she added was 1/6 of the total size
6 x 120 = 720
what is the angle of d
Answer:
115°
Step-by-step explanation:
65 +65 = 130
360-130= 230
230÷2= 115
what is the volume of the prism 2m x 3m x 5m
Answer:
30 m³
Step-by-step explanation:
2 m x 3 m x 5 m= 30 m³
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
The Sine Function
The phrases of the Moon are periodic and repetitive. A new Moon occurs when no Moon is visible to an observer on Earth. During the first quarter, half of the side of the Moon facing the Earth is visible. During a full Moon the entire side of the Moon is Visible. During the last quarter the other half of the side of the Moon facing Earth is visible.
The U.S. Naval Observatory lists the following dates for phases of the Moon in the year 2008.
Using the information above, plot the data points. Does this data indicate that a sine regression may be appropriate in this case? Explain.
a. Yes, it shows repeated and periodic behavior.
b. Yes, it shows a curve increasing from left to right.
c. No, the points are random.
d. No, the points depict a parabola.
Please select the best answer from the choices provided
Answer:
A. Yes, it show repeated and periodic behavior.
Step-by-step explanation:
I calculated it logically
What is an equation of the line that passes through the point(-1,-3) and is perpendicularly to the line x-2y=14
Answer:
the equation will be
Step-by-step explanation:
2x+y+5=0
Answer:
2x + y + 5 = 0
Step-by-step explanation:
The equation of line is x-2y = 14 and we need to find the equⁿ of line which passes through (-1,-3) and is perpendicular to given line.
Find the slope of given line by converting it into slope intercept form.=> x - 2y = 14
=> 2y = x - 14
=> y = x-14/2
=> y = x/2 - 7
Comparing to y = mx + c ,=> Slope (m) = 1/2 .
Now the slope of line perpendicular to it , will have a slope ,
=>[tex] m_{perp}[/tex] = -1/m
=>[tex] m_{perp}[/tex] = -1/½
=> [tex] m_{perp}[/tex] = -2
Using point slope form ,=> m = (y - y₁) / ( x - x₁)
=> -2 = { y - (-3) } / { x - (-1) }
=> -2 = y + 3/x + 1
=> -2(x + 1) = y + 3
=> -2x -2 = y + 3
=> y + 2x +3+2 = 0
=> 2x + y + 5 = 0
Hence the equation of line perpendicular to it is 2x + y + 5 = 0 .Find the area of the parallelogram shown below 5 3
Answer:
15 square units
Step-by-step explanation:
If you were to cut off the bottom triangle (separated by the dotted line), and put it on top of the other triangle, you would get a rectangle.
All you have to do is length x height
5 x 3 = 15
Which expression is equivalent to 128?
Answer: 2^3 x 2^4
Step-by-step explanation:
The value of the exponential expression is A = 2³.2⁴ = 128
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the value of the exponential equation be A
Now , the first expression is p = 2³
The value of p = 8
Now , the second expression is q = 2⁴
The value of q = 16
From the laws of exponents , we get
p.q = 2³.2⁴ = 2³⁺⁴
The value of A = 2⁷ = 128
Hence , the exponential equation is 2⁷ = 128
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PLEASE I NEED HELP
SSS
AAS
NOT CONGRUENT
SAS
ASA
SAS IS YOUR ANSWER!
HOPE THISE HELPS
Compound Interest: You deposit $100 in an account that earns 3% annual interest compounded continuously. How long does it take the balance to reach the following amounts? (A = Pe^(rt). NO LINKS
a. $110
b. $150
c. $200
9514 1404 393
Answer:
a) 3.18 years
b) 13.52 years
c) 23.10 years
Step-by-step explanation:
Solving for t, we find ...
A = Pe^(rt)
A/P = e^(rt)
ln(A/P) = rt
t = ln(A/P)/r
For P=100 and r=.03, the times are ...
a. $110: t = ln(110/100)/.03 ≈ 3.18 years
b. $150: t = ln(150/100)/.03 ≈ 13.52 years
c. $200: t = ln(200/100)/.03 ≈ 23.10 years
A community organization wants to determine area support for the construction of a new skate park in the center of town. The organization decides to survey 500 people to see whether they are willing to have their taxes increased for one year to fund the construction of the skate park. What is the best way to randomly choose these 500 people? O Select the first 500 taxpayers listed at the town hall. O Survey the first 500 people who visit the existing skate park. O Assign each taxpayer in town a number and then randomly select 500 of these numbers. O Choose 100 taxpayers from 5 different age groups in town.
PLEASE HELP!!!!
Answer: I just took the test, and the answer is 'Assign each taxpayer in town a number and then randomly select 500 of these numbers.'
Step-by-step explanation: Happy Pride Month!!