The diagram below shows scalene triangle WXY. The measure of ZWXY is 710
Answers
Answer:
[tex]m\angle WYX=46^o[/tex]
[tex]m\angle YWX=63^o[/tex]
Step-by-step explanation:
The complete question in the attached figure
we know that
A scalene triangle has three different interior angles and three different length sides
In this problem
[tex]m\angle WYX=46^o[/tex] ----> by vertical angles
[tex]m\angle WXY=71^o[/tex] ----> is given
Find the measure of the third angle ∠YWX
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
[tex]46^o+71^o+m\angle YWX=180^o[/tex]
[tex]m\angle YWX=180^o-117^o=63^o[/tex]
Verify each statement
1) [tex]m\angle WYX=46^o[/tex] ---> is true (see explanation)
2) [tex]m\angle YWX=63^o[/tex] ---> is true (see explanation)
3) [tex]m\angle WXY=46^o[/tex] ---> is not true because ∠WXY is given and is 71 degrees
4) [tex]m\angle YWX=46^o[/tex] ---> is not true because [tex]m\angle YWX=63^o[/tex]
5) [tex]m\angle WYX=134^o[/tex] --> is not true because [tex]m\angle WYX=46^o[/tex]
The question seems to contain an error - a triangle's angles cannot sum to more than 180 degrees. Assuming the triangle issue is corrected, principles like the Triangle Sum Theorem, and laws of sines and cosines would be applied to solve it.
Explanation:The question refers to a diagram depicting scalene triangle WXY, which suggests a problem in geometry, a branch of mathematics. However, the information about the measure of angle ZWXY being 710 degrees seems incorrect since the sum of angles in any triangle cannot exceed 180 degrees. It appears there's a typographical error or a misunderstanding in the transcription of the problem. In a triangle, the measures of the three interior angles always add up to 180 degrees, and no single angle can measure more than 180 degrees because it would no longer be a triangle.
Without a correct diagram or clarification of the angle measures, providing a step-by-step solution to this geometric problem is not feasible. Nonetheless, if the problem was corrected and it involves solving for missing angles or sides of a scalene triangle, one could apply geometry principles and theorems such as the Triangle Sum Theorem, the Law of Sines, and the Law of Cosines depending on the given information.
Related Questions
plz hurry will mark brainiest
what hole number is a solution for the inaquality x _> 4 but is not a solution for the inaquality x > 4?
A 0
B 4
C 7
D 18
Answers
Answer:
B. 4
Step-by-step explanation:
The sign [tex]\geq[/tex] means greater than or equal to
The sign > just means greater than
4 is a solution for x [tex]\geq[/tex]4, because 4 is equal to 4, but not a solution for x>4, because 4 is not greater than 4
Hope this helps! :)
12 cm
10 cm
10 cm
What is the volume of Alina's model in cubic
centimeters?
cm3
Answers
Answer:
1200 cm^3
Step-by-step explanation:
i believe you multiply highxlengthxwidth
Answer:
1200 cm3
Step-by-step explanation:
The label it wants you to use on the answer kind of hints at how you need to find the volume of this cube. since it is cm3 it means you are going to multiply each of the numbers together to get the answer.
12x10x10=1200
cm x cm x cm = cm3
Put the two together and you get 1200 cm3
Rounded to the nearest whole number, what is the approximate population density of Michigan, according to the table shown below.
Answers
Answer:
~102 per square mile.
Step-by-step explanation:
9883640 divided by 96,716 is 102.19 so rounding down to 102.
3y+6+4y−7=−8
Solve for y
Answers
The solution to the equation 3y + 6 + 4y - 7 = -8 is y = -1.
We have,
To solve the equation 3y + 6 + 4y - 7 = -8 for y, we can combine like terms and isolate the variable.
Combining like terms on the left side of the equation, we have:
3y + 4y + 6 - 7 = -8
Simplifying further:
7y - 1 = -8
Next, let's isolate the y-term by moving the constant term to the other side of the equation:
7y = -8 + 1
Simplifying:
7y = -7
Finally, divide both sides of the equation by 7 to solve for y:
y = -7/7
Simplifying the fraction:
y = -1
Therefore,
The solution to the equation 3y + 6 + 4y - 7 = -8 is y = -1.
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ASAP BRAINLEST TO BEST ANSWER
Which set of number is only made up of integers?
Answers
Answer:last one
Step-by-step explanation:
an integer is a whole #...it cant be a fraction...it can be a negative # though
Answer:
–23, –7, 5, 9, 190
Step-by-step explanation:
Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest
Answers
Answer:
4 participants
Step-by-step explanation:
The name of the chart is "Participants PER race"
That means they tall you how many people did the race now all you gotta do is, Count up the numbers more than 61- So look at the 6 in the "stem" portion
it has 67, 67 they are both more than 61
Then look at the next "stem" number- 7
that has 74 which is more than 61 but less than 85
Then we look at the 8 in the "stem" it has three numbers- 84, 86, 89
but 86 and 89 are more than 85 so 84 is the only one which will go through
So the numbers are: 67, 67, 74, and 84
Thus 4 participants
I hope this explained it!
What is the perimeter of parallelogram WXYZ
/5- /17 units
2/5+2/17 units
16 units
22 units
The points of the parallelogram are
X4.0)
W(0.-1
Y(3.-2
Z-1,-3)
Answers
Answer:
Step-by-step explanation:
Given a parallelogram with points
X(4, 0)
W(0, -1)
Y(3, -2)
Z(-1, -3)
We want to find the perimeter, perimeter is the total sum of the lengths
So, we need to find the length of the sides using distance between two points
D = √(x2-x1)² + (y2-y1)²
So, applying this
WX = √(0-4)²+(-1-0)² = √(16 + 1) = √17
XY = √(4-3)² + (0--2)² = √(1+4) = √5
Since the opposite sides of a parallelogram are equal, we don't need to find the other length
Then,
Perimeter = 2(WX + XY)
Perimeter = 2(√17 + √5)
Perimeter = 2√17 + 2√5
The correct answer is B.
If X = 2 inches, Y = 8 inches, W = 4 inches, and Z = 5 inches, what is the area of the object?
Answers
Answer:
28 inches
Step-by-step explanation:
2 x 4=8
8-4=4
4 x 5 = 20
20+8=28
area of the x and w rectangle is 8
area of the y and z rectangle is 20
Mitchell has decided to give his dog a longer leash to roam in the backyard. If the new 7 ft. leash is tied to the center pole in the yard, how much area in the yard does the dog have to move around?
Answers
Answer:
153.94
Step-by-step explanation:
Please help on this! I will mark brainliest if right!
Answers
Answer:
13 units
Step-by-step explanation:
Use the pythagorean theorem and find the hypotenuse.
a^2 + b^2 =c^2
Draw the triangle by connecting the dots so you can see the legs.
one leg is 8 units and one leg is 10 units
8^2 + 10^2 = c^2
64 +100= c^2
164 = c^2
Find the square root of 164 which is 12.8. Round to 13
What is the value of the expression 2^2 + 4^2 ÷ 2^2? 3 6 8 16
Answers
A 4-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled y with entries 26, 13, 19, 2, 12. The third column is labeled predicted with entries 22.2, 18.3, 14.4, 10.5, 6.6. The fourth column is labeled residual with entries 3.8, negative 5.3, 4.6, negative 8.5, 5.4.
For the given table, which point lies on the residual plot?
(1, 26)
(2, 18.3)
(3, 4.6)
(4, 19)
Answers
Answer:
Sample 1: 1.5
Sample 2: -2.5
Sample 3: 5.5
Step-by-step explanation: I just did it
Answer:
(3, 4.6)
Step-by-step explanation:
Took the test on edge.
|x+5| =3
plz help show steps
Answers
Answer:
x=-2
Step-by-step explanation:
|x+5|=3
-2+5=3
x+5=-3
-5 -5
x=-2
x+5=-3
-5 -5
x=-8
So the answer can be x=-2 or x=-8
(02.02)
The length of a rectangle is 24 units. Can the perimeter x of the rectangle be 60 units when its width y is 11 units? (1 point)
Select one
O a. No, the rectangle cannot have x = 60 and y = 11 because x = 48 + 2y
b. No, the rectangle cannot have x = 60 and y = 11 because x = 24 + 2y
c. Yes, the rectangle can have x = 60 and y = 11 because x + y is greater than 48
d. Yes, the rectangle can have x = 60 and y = 11 because x + y is greater than 24
Answers
Let
L--------> the length of the rectangle
y------> the width of the rectangle
x------> the perimeter of the rectangle
we know that
The perimeter of the rectangle is equal to
In this problem we have
For a width
Find the value of the perimeter
so
therefore
the answer is the option A
No, the rectangle cannot have x = 60 and y = 11 because x = 48 + 2y. .
Write the ratios 20:40:60 in its simplest form?
Answers
Answer:
1:2:3
Step-by-step explanation:
The ratio 20:40:60 is simplified by dividing each number by the greatest common divisor (GCD), which is 20, giving us the simplest form of the ratio as 1:2:3.
Explanation:To write a ratio in simplest form, you have to find the greatest common divisor (GCD) of the numbers and then divide all numbers by the GCD. In the ratio 20:40:60, the GCD is 20. Therefore, when you divide each number of the ratio by the GCD you get 1:2:3. So, the ratio 20:40:60 in its simplest form is 1:2:3.
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A rectangular garden measuring 13 meters by 15 meters is to have a gravel pathway of constant width built all around it. There is enough gravel to cover 80 square meters. Enter an inequality that represents all possible widths(w), in meters, of the pathway.
Answers
Let w represent width of the pathway.
We have been given that a rectangular garden measuring 13 meters by 15 meters is to have a gravel pathway of constant width built all around it.
Since pathway will be on all sides, so new length and width of garden with pathway would be [tex]13+2w[/tex] by [tex]15+2w[/tex].
We are also told that there is enough gravel to cover 80 square meters. This means that area f pathway should be equal to 80 square meters.
The area of the pathway will be equal to area of garden with new dimensions minus area of garden with original dimensions.
We know that area of rectangle is width times length.
[tex]\text{Area of pathway}=(15+2w)(13+2w)-15(13)[/tex]
Since we are asked to write an inequality that represents all possible widths(w), in meters, of the pathway, so area of pathway should be less than or equal to 80 square meters.
[tex](15+2w)(13+2w)-15(13)\leq 80[/tex]
Therefore, our required inequality would be [tex](15+2w)(13+2w)-15(13)\leq 80[/tex].
How are the solutions to the inequality -2x ≥ 10 different from the solutions to -2x > 10?
Explain your reasoning.
Answers
Answer:
First lets find the solutions to each inequality.
-2x[tex]\geq \\[/tex]10 and -2x>10 (divide both sides by -2 to solve)
x[tex]\leq[/tex]-5 and x<-5
x[tex]\leq[/tex]-5 tell us that x could be -5 or less.
x<-5 tells us that x could be -6 or less.
The first one is less than or equal to which tells you that there is a possibility that the number is shows is could be an answer
Hope this helps ;)
Is 9in, 15in, 17in a right triangle
Answers
Factor: 6a²−378a²−384a.
Answers
Answer:
=-372a^2-384a
Step-by-step explanation:
6a^2-378a^2-384a
=-372a^2-384a
Find the volume of the pyramid below. Hint: The base is a right triangle, so you will need to find
the area of the base first.
112
Enter your answer as a number with no units.
Answers
Given:
Given that the height of the pyramid is 12 units.
The base of the triangle is 8 units.
The height of the triangle is 6 units.
We need to determine the volume of the pyramid.
Area of the triangle:
The area of the triangle can be determined using the formula,
[tex]A=\frac{1}{2} bh[/tex]
where b is the base of the triangle and h is the height of the triangle.
Substituting the values, we get;
[tex]A=\frac{1}{2}(8)(6)[/tex]
[tex]A=\frac{1}{2}(48)[/tex]
[tex]A=24[/tex]
Thus, the area of the triangle is 24 square units.
Volume of the pyramid:
The volume of the pyramid can be determined using the formula,
[tex]V=\frac{1}{3}AH[/tex]
where A is the area of the triangle and H is the height of the pyramid.
Substituting the values, we get;
[tex]V=\frac{1}{3}(24)(12)[/tex]
[tex]V=\frac{1}{3}(288)[/tex]
[tex]V=96[/tex]
Thus, the volume of the pyramid is 96 cubic units.
Consider the geometric sequence 4,20, 100, 500, 2500, 12500, 62500, 312500. Give the values of g1, r, n.
Answers
Consider the set of whole numbers from 1 to 10, inclusive.
List the numbers that meet the condition: greater than four and odd
Answers
Answer:
5, 7, 9.
Step-by-step explanation:
they are all greater than 4 and odd
List the numbers that meet the condition: greater than four and odd
5,7,9
Given :
the set of whole numbers from 1 to 10, inclusive.
Lets write all the numbers from 1 to 10 inclusive
The numbers are 1,2,3,4,5,6,7,8,9,10
Now we write all the odd numbers between 1 and 10
1,3,5,7,9
Now we look at the numbers greater than 4 and odd
The numbers greater than 4 and odd are 5,7,9
List the numbers that meet the condition: greater than four and odd
5,7,9
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What is 2m-2 when m =9
Answers
Answer:
16
Step-by-step explanation:
simplify
2(9) - 2
18 - 2
16
:) :)
Show work please . I’m stuck need help
Answers
Answer:
I hope it helps
Step-by-step explanation:
just insert numbers and simplify
Elle is buying new flooring for her kitchen
and laundry room. She knows that the
area of the kitchen is 132 square feet. The
laundry room is 8 1/3 feet by 6 3/4 feet. What is
the total area of the two rooms?
Answers
Answer:
188.23 ft
Step-by-step explanation:
8.33ft x 6.75ft
56.23ft
now add the other room
56.23ft+132ft
The total area of the two rooms is..
188.23 ft
Definition: This is the observed variable in an experiment or study whose changes are determined by the
presence or degree of one or more independent variables. When graphed, this variable is usually on the
vertical axis.
Answers
Answer:
VERTICLE AXIS IS THE ANSWER
Step-by-step explanation:
BRAINLIEST PLEASE????
Answer:
Dependent Variable
Step-by-step explanation:
Express as simply as possible with a rational denominator. 1/root13
Answers
Answer: root13/13
Step-by-step explanation:
Answer:
root13/13
Step-by-step explanation:
Rewrite the following expression as a single logarithm with coefficient 1.
3log5 uv^2/w^3
Answers
Answer:the answer is D
Step-by-step explanation:
The correct solution of the expression is,
⇒ log (125u³v⁶ / w⁹)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 3 log (5uv²/w³)
Now, We can simplify by the definition of logarithmic function as;
⇒ 3 log (5uv²/w³)
⇒ log (5uv²/w³)³
⇒ log (125u³v⁶ / w⁹)
Thus, The correct solution of the expression is,
⇒ log (125u³v⁶ / w⁹)
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A right triangle has sides of length 3, 4, and x. Find x if it is a LEG.
Answers
Work Shown:
a = x, b = 3, c = 4
a^2 + b^2 = c^2 ... pythagorean theorem
x^2 + (3)^2 = (4)^2
x^2 + 9 = 16
x^2 = 16 - 9
x^2 = 7
x = sqrt(7)
x = 2.64575131106459
x = 2.6
In a right triangle with one leg of length 3, the other leg of length 4, and the hypotenuse of length x, the Pythagorean theorem formula (3² + 4² = x²) gives the length of x as √25, or 5 units.
Explanation:In Mathematics, a right triangle has one angle that is a right angle (90 degrees). In these triangles, the Pythagorean theorem applies, which says that the square of the length of the longest side (hypotenuse) is equal to the sum of squares of the other two sides (legs).
If x is a leg of the triangle, then its length can be found by rearranging the Pythagorean theorem formula. If the length of one leg is 3, the other is 4, and the length of the hypotenuse is x, then the equation is: 3² + 4² = x².
That simplifies to 9 + 16 = x², and further to x² = 25. Taking the square root of both sides gives us the length of x as 5 units.
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William's typical running speed is 6 mi/h. The difference between his fastest speed and his typical speed is 1.5 min. The equatio
f-1.5 = 6 can be used to represent this problem, where fis William's fastest speed. What is William's fastest speed?
A) 4.5 mi/h
B) 5.5 mi/h
C)6.5mi/h
D) 7.5 mi/h
Answers
Answer:
D) 7.5 mi/h. hcbhcvu yc yv. y yv yh
Answer:
D
Step-by-step explanation:
7.5