The following shape is a rhombus. Find the measure of each unknown angle:
90
52
38
46
72
Answers
Answer:
63 42
53
53
52
Jdjdjdjfh
Properties of a rhombus:Diagonals of a rhombus intersect each other at 90°. Sum of two adjacent angles of a rhombus is 180°.Diagonals bisect opposite angles.
By using property - 1,
m∠APD = m∠DPC = m∠BPC = m∠APB = 90°
Apply triangle sum theorem in ΔAPD,
m∠DAP + m∠APD + m∠DPA = 180°
52° + 90°+ m∠DPA = 180°
m∠DPA = 38°
By using property - 3,
m∠PDC = m∠DPA = 38°
m∠PAB = 52°
By using property - 2,
m∠ADC + m∠DCB = 180°
2(38°) + m∠DCB = 180°
m∠DCB = 104°
Therefore, m∠PCD = m∠PCB = [tex]\frac{104}{2}[/tex] = 52°
m∠DAP = m∠BAP = 52°
Since, m∠ADC = m∠ABC = 76°
Therefore, mABP = m∠CBP = [tex]\frac{76}{2}=38^\circ[/tex]
Hence, m∠APD = m∠DPC = m∠BPC = m∠APB = 90°, m∠DPA = 38°, m∠PAB = 52°, m∠PCD = m∠PCB = 52°, m∠BAP = 52°, mABP = m∠CBP = 38°.
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Related Questions
The population of a country grows exponentially at a rate of 1% per year. If the population was 35.7 million in the year 2010, then what is the population size of this country in the year 2015
Answers
Answer:
37.52 million
Step-by-step explanation:
using,
A = A'(1+R/100)ⁿ............................. equation 1
Where A = population size in 2015, A' = Initial population, R = rate in percentage, n = number of times between 2010 and 2015.
Given: A' =35.7 million, R = 1%, n = 5.
Substitute these values into equation 1
A = 35.7(1+0.01)⁵
A = 37.52 million.
Hence the size of the population of the country in the year 2015 is 37.52 million
7. Use the facts and graph below to write the equation for g(x)
Step 1: Start with the equation f(x) = |x|. Write the equation for the graph of g(x) that has been stretched vertically by a factor of 2.
Step 2: Use the equation you wrote in Step 1. Write the equation for the graph of g(x) that has also been reflected, or flipped, over the x-axis.
Step 3: Use the equation you wrote in Step 2. Write the equation for the graph of g(x) that has also been shifted down 3 units.
Step 4: Use the equation you wrote in Step 3. Write the equation for the graph of g(x) that has also been shifted right 1 unit.
Answers
9514 1404 393
Answer:
g(x) = 2|x|g(x) = -2|x|g(x) = -2|x| -3g(x) = -2|x -1| -3Step-by-step explanation:
1. Multiplying the function by a constant stretches the graph by that constant. Here, you want a stretch factor of 2, so you have ...
g(x) = 2f(x) = 2|x|
__
2. Negating a function causes its graph to be reflected over the x-axis. That makes your second function look like ...
g(x) = -2|x|
__
3. Subtracting 3 from the function value shifts its location on a graph down by 3 units. Your third function will be ...
g(x) = -2|x| -3
__
4. Subtracting a constant from the x-value causes the graph of the function to be shifted right by that amount. Here you want a right shift of 1 unit, so your function is ...
g(x) = -2|x -1| -3
Answer:
the other users is correct, sorry I was going to answer until i saw it was already but it wouldn't let me of the screen
Step-by-step explanation:
vary hard 11th grade test paper
Answers
find the length of the third side to the nearest tenth 6 and 9
Answers
Hello, i do believe that you are asking me to do pythagorean theorem.
I'm not too sure if we are solving hypotenuse or a/b so i'll do both.
[tex]\boxed{\underline{Hypotenuse...}}\\\\\\A^2+B^2=C^2\\6^2+9^2=C^2\;\\36+81=117[/tex]
[tex]\sqrt{117}=10.816\\Round-\;10.8[/tex]
[tex]\boxed{\underline{a/b...}}\\\\\\A^2=C^2-B^2\\A^2=9^2-6^2\\A^2=81-36\\A^2=45\\\sqrt{45}= 6.708\\Round-\;6.7[/tex]
Hope it helps!
I need help I don’t know how to do these problems
Answers
Answer:
It is in fact 113 I'm just here to explain
Step-by-step explanation:
Basically M6 and M7 must make a staright line(180) and since we already know that M6 is 67 we just have to subtract 67 from 180 to get the answer we are looking for. ( it would be the same process if we were looking for M1 (113) and also if you had the measure of M1 you would have had your answer to M7 because they are vertical angles therefore making them congruent
Assume that a random sample of 4 Goldfinch birds are going to be used to test the above hypothesis. Compute the largest value of the sample mean, that will allow the experimenter reject the null and prove the alternative at significance level 0.01. For this problem, make sure that your solution includes all steps of your computation. You will not earn points if you just use a formula
Answers
This question is incomplete, the complete question is;
Assume that body masses of Goldfinch birds follow a normal distribution, with a standard deviation equal to 0.04 oz. An ornithologist who would like to make some inference about the average body mass of the Goldfinch birds. In particular, at a significance level of 0.01, she would like to test the null hypothesis H₀: Average body mass of the Goldfinch birds is 0.5 oz, against the alternative claim that average body size is less than 0.5 oz.
Assume that a random sample of 4 Goldfinch birds are going to be used to test the above hypothesis. Compute the largest value of the sample mean, that will allow the experimenter reject the null and prove the alternative at significance level 0.01. For this problem, make sure that your solution includes all steps of your computation. You will not earn points if you just use a formula
Answer: the largest value of the sample mean that will enable the experimenter to reject the null hypothesis is 0.4534 oz.
Step-by-step explanation:
Let us consider testing a hypothesis about a population mean with population standard deviation that is known,
Let the average body mass of the Goldfinch bird be μ^μ
Now our hypotheses are will be;
H₀ : μ = 0.5 and
H₁ : μ < 0.5
For the test, we shall use the z statistic which will be
z = (x"-μ)/(σ/√n)
Now given that;
σ = 0.04 and n = 4
sample mean x" = ?
Now in order to be able to reject the null hypothesis, the p-value should be ≤ α = 0.01.
so to find the largest value of sample mean, we will use the maximum of p-value that is 0.01.
For a p-value = 0.01 at the lower tail (which is the percentile for z),
the corresponding z will be -2.33
so we substitute our values into our formula
z = (x"-μ)/(σ/√n)
z(σ/√n) = (x"-μ)
-2.33(0.04/√n) = (x"-0.5)
-0.0466 = x" - 0.5
x" = 0.5 - 0.0466
x"= 0.4534
therefore the largest value of the sample mean that will enable the experimenter to reject the null hypothesis is 0.4534 oz.
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
4.9 mi to 2.8 mi
Answers
f(x) is a function.
A. True
B. False
Answers
Answer:
False, since x values cannot have more than one y value.
Step-by-step explanation:
False, since x values cannot have more than one y value.
Which quote from Little Women best exemplifies the theme of making sacrifices for genuine love?
Answers
Answer:
"’I don't want a fashionable wedding, but only those about me whom I love, and to them I wish to look and be my familiar self.’"
Step-by-step explanation:
Answer:
the one above my answer is correct
Step-by-step explanation:
On a map, Delilah is standing at (10, -13). Her friend Pedro is standing at (18, -13). If Delilah walks 8 units left, will she be standing with Pedro? Explain.
Answers
Answer:
Yes
Step-by-step explanation:
if she walk 8 to the left she will be at 18-13 which is his location
The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
No,
Delilah is not standing with Petro after she walks 8 units to its left.
The position on the map is not the same.
The coordinates of Delilah and Petro is not the same.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
The following coordinates.
Delilah is standing at (10, -13).
Pedro is standing at (18, -13).
Delilah walks 8 units left.
This means,
The coordinates of Dellah will be,
(10, -13) → (10 - 8, -13) = (2, -13)
In order for Delilah to stand together with Pedro both their coordinates must be equal.
Delilah coordinates = (2 , -13)
Pedro coordinates = (18, -13)
Thus,
No,
Delilah is not standing with Petro after she walks 8 units to its left.
The position on the map is not the same.
The coordinates of Delilah and Petro is not the same.
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Will give brainly. question in picture below
Answers
Answer:
Its the letter F
Step-by-step explanation:
Twice the sum of a number and five is equal to 40 (translate to an algebraic equation)
Answers
The algebraic equation representing the given statement is
2(x + 5) = 40.
We have,
Let's translate the given statement into an algebraic equation.
The sum of a number (let's call it x) and five can be expressed as (x + 5).
Twice the sum of a number and five is equal to 40, so we can write it as:
2(x + 5) = 40
Therefore,
The algebraic equation representing the given statement is
2(x + 5) = 40.
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Need Help Math question
Answers
The point of intersectiom where the 2 lines cross each other is when it is 14 minutes.
Answer:
14 minutes according to the graph
9hr. 8min+ 6hr. 42min.+ 8hr. 39min.
Answers
Step-by-step explanation:
24 hours and 29 minutes
Explanation
A Geiger counter registers a count rate of 7,600 counts per minute from a sample of a radioisotope. Eighteen minutes later, the count rate is 1,900 counts per minute. What is the half-life of the radioisotope?
Answers
Answer:
9 minutes is the half life of the radioisotope.
Step-by-step explanation:
Given;
initial count rate = 7,600 counts per minute
final count rate = 1,900 counts per minute
elapsed time, t = 18 minutes
The half life of the radioisotope is calculated as;
Time (half life) --------------------------remaining count rate
0 ------------------------------7,600 counts per minute
x ------------------------------3,800 counts per minute
2x----------------------------- 1,900 counts per minute
thus, 2x = 18 minutes
x = 18 / 2
x = 9 minutes
Therefore, 9 minutes is the half life of the radioisotope.
The probability that a six sided number cube lands on a 5 is 1/6. Predict the number of times the cube will land on a 5 if the cube is tossed 72 times.
Answers
Answer:
[tex]1 \div 6 \times 72 = 12[/tex]
What is this expression?
Answers
Answer:
2) 4/3
Step-by-step explanation:
(4^-3 * 3^4 * 4^2)/(3^5 * 4^-2)
4^-3 * 3^4 * 4^2 = 4^-1 * 3^4
(4^-1 * 3^4)/(4^-2 * 3^5)
(3^4)/(3^5) = 1/(3^5-4)
(4^(-1))/(4^-2 * 3^(5-4)
(4^-1)/(4^-2 * 3)
4^(-1 - (-2)) / (3)
-1 - (-2) = 1
4/3
the line has a rise of 20 and a run of -4 and goes through the points (-2,25) (0,15) (3,0) and (5,10) write the equation in slope-intercept form
Answers
Answer:
y = -5x + 15
Step-by-step explanation:
the y intercept was given (0,15)
to find the slope do rise/run
20 / -4 = -5
so the slope is -5
I need help please with step by step it would help me a lot
Answers
Answer:
Domain: (-infinity, +infinity) since you can pick any x values.
Range: [0, +infinity) since it does not go below the x axis.
Step-by-step explanation:
The graph is a parabola given by [tex]y=x^2[/tex]
lets pick a few x values:
x = 1 gives us y = 1^2, which = 1
x = -1 gives us y = (-1)^2, which = 1
The parabola's domain is any x value as it extends to infinity.
For its range, you can see that it does not go below the x axis at x = 0. Therefore, the range of the parabola is from [0, infinity]
Solve using BODMAS
1 half of [ 5 + 4 – {3 + 5 – (1 + 3)} ]
Answers
Answer:
Result: 3/2 = 1 1/2 = 1.5 Result in words: three halves (or one and one half) Solve problems with two, three, or more fractions and numbers in one expression. The exponentiation/power symbol is ^ - for example: (7/8-4/5)^2 = (7/8-4/5) BODMAS - Brackets, Of or Order, Division, Multiplication, Addition, Subtraction.
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
☪️ Meaning of BODMAS:-
B - Bracket
O - Of
D - Division
M - Multiplication
A - Addition
S - Subtraction
☪️ Work:-
1 ÷ 2 × ((5 + 4 × 0) + 5 × 0)
0.5 × ((5 + 4 × 0) + 5 × 0)
0.5 × ((5 + 0) + 5 × 0)
0.5 × (5 + 5 × 0)
0.5 × (5 + 0)
0.5 × 5
2.5
Sorry if I’m not correct.
Hope this helps!
(*^ω^*)
Plz help ASAP fheodjdidididkdu
Answers
Answer:
B
Step-by-step explanation:
What is the greatest common factor of the terms in the polynomial 4x-32x-60x?
4
4x
4x2
O 4r3
Answers
Answer:
its c (4x^2)
Step-by-step explanation:
The greatest common factor of the polynomial expression 4x - 32x - 60x is 4x
How to determine the greatest common factor?The polynomial expression is given as:
4x - 32x - 60x
Factor out x from the terms in the expression
x(4 - 32 - 60)
Factor out 4 from the terms in the expression
4x(1 - 8 - 15)
Hence, the greatest common factor of the terms is 4x
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Translate the figure 3 units left and 4 units down.
Plot all of the points of the translated figure.
You may click a plotted point to delete it.
Answers
Answer:
3,-1
Step-by-step explanation:
you go over to the left 3 and than you go down 4.
Solve for x : 10x-8= 4-6x
anyone help?
Answers
Answer: x = 3
Step-by-step explanation:
Simplifying
10x + -4 = 6x + 8
Reorder the terms:
-4 + 10x = 6x + 8
Reorder the terms:
-4 + 10x = 8 + 6x
Solving
-4 + 10x = 8 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
-4 + 10x + -6x = 8 + 6x + -6x
Combine like terms: 10x + -6x = 4x
-4 + 4x = 8 + 6x + -6x
Combine like terms: 6x + -6x = 0
-4 + 4x = 8 + 0
-4 + 4x = 8
Add '4' to each side of the equation.
-4 + 4 + 4x = 8 + 4
Combine like terms: -4 + 4 = 0
0 + 4x = 8 + 4
4x = 8 + 4
Combine like terms: 8 + 4 = 12
4x = 12
Divide each side by '4'.
x = 3
Simplifying
x = 3
Add
to both sides of the equation
Simplify
Add
to both sides of the equation
Simplify
6
Divide both sides of the equation by the same term
Which ratio is equivalent to 4:5?
10
15
4
10
16.
20
15
풍
Answers
Answer:
16;20
Step-by-step explanation;
you can both multiply by 4
4 x 4 = 16 and 5 x 4 = 20.
X is all of the following except ____.
A. a term
B. a variable
C. a constant
D. an expression
Answers
Answer:
an expression
Step-by-step explanation:
Sorry if i'm wrong if i'm wrong then a term maybe
Need help on 3 please help thank you so much I appreciate
Answers
Answer: Interesting question bro
Step-by-step explanation:
any thoughts?! I couldn't fix it
Answers
Answer:
4.25
Step-by-step explanation:
Rachel wants to save money for a foreign exchange student program. She
needs $950 to belong to the program. She has $200. She earns $40 per
week. How can she figure out the number of weeks that she will take to
save enough money for her program?
O A. Add 200 plus 950 and then divide by 40.
O B. Subtract 40 from 950 and then divide by 200.
O C. Add 200 plus 40 and then divide by 950.
O D. Subtract 200 from 950 and then divide by 40.
Answers
Zoey bought a plant and planted it in a pot near a window in her house. Let
H
H represent the height of the plant, in inches,
t
t months since Zoey bought the plant. The table below has select values showing the linear relationship between
t
t and
H
.
H. Determine the initial height of the plant when it was purchased.
Answers
Answer: 2.5
Step-by-step explanation:
Given the relationship between month since plant was bought t and plant height H ;
t
0.5
3
5
H:
17.25
23.5
28.5
Using the online regression calculator, the regression model obtained is :
y = 16x + 2.5
Using this model, we can obtain the height when t = 0 ; this will give the height at the time of purchase of the plant. Therefore, at x = 0
y = 16(0) + 2.5
y = 0 + 2.5
y = 2.5
Hence, height of plant = 2.5
Answer:
16 inches
Step-by-step explanation: