Answers
The measure of angle x in the isosceles triangle is 68 degrees.
The correct option is 68°.
What is the measure of angle x?The figure in the image is an isosceles triangle.
An isosceles triangle is simply a triangle that has any two sides equal in length and and also two angles equal in measure.
From the diagram;
Since the triangle is an isosceles triangle:
Angle 1 = 56 degrees
Angle 2 = 56 dgerees
Angle 3 = x
Note that the sum of the interior angle of a triangle adds up to 180 degree.
Hence;
Angle 1 + Angle 2 + Angle 3 = 180
56 + 56 + x = 180
Solve for x
112 + x = 180
x = 180 - 112
x = 68 degrees
Therefore, x has a value of 68 degree.
Learn more about isosceles triangle here: https://brainly.com/question/28412104
#SPJ3
Related Questions
Courtney had $55 to spend at the fair. She paid $22.50 for rides and $14.25 for lunch and snacks. Courtney says she has $18.25 left to play games at the fair. Which explanation explains whether Courtney is correct or not? A. Courtney is not correct. Estimation: 22.50 – 14.25 is about 8. $55 – $8 = $47 There was about $47 left for Courtney to spend on games. B. Courtney is correct. Estimation: 22.50 + 14.25 is about 37. $55 – $37 = $18 There was about $18 left for Courtney to spend on games. C. Courtney is not correct. Estimation: 22.50 + 14.25 is about 37. $55 + $37 = $92 There was about $92 left for Courtney to spend on games. Question Resources
Answers
A. would be wrong because Courtney IS correct, she has $18.25 left.
C. is also wrong because, again, Courtney IS correct.
So the only option left is B and it explains why Courtney is correct.
Option B is the correct answer.
Hope this helps.
I do not understand how to do this
Answers
Shape 1
4*2=8
Shape 2
6*4=24
Add shape 1 and shape 2
8+24=32
The area of the shale would be 32in
I hope this helps
Area of entire figure: 8 × 6 = 48 in²
Area of empty space: 4 × 4 = 16 in²
48 - 16 = 32
The area of the figure is 32 in².
a point locates at (-3 7) undergoes two transformations. its images is located at (3 -7). what were the transformations?
Answers
Use geometry words to describe a way to separate triangles into other triangles?
Answers
Let us suppose we have a triangle ABC as shown in the attached image.
Now, let us we draw a perpendicular line from the vertex A to the base BC. Let the line meets the base BC at D.
Then, this perpendicular line AD will separate the triangle ABC into two right angle triangle ADB and triangle ADC.
write
(6b)^2 without exponents
Answers
I think....tell me if im right plz
An equation is shown below: 9(3x-2)=1
Which of the following correctly shows the first two steps to solve this equation?
Answers
B the second one. It shows all the steps correctly
Gigi’s parents pay $1,400 for a mortgage and $250 for a car loan each month. They pay $175 monthly for health insurance and spend about $300 a month on food. Utilities cost about $150 a month. They pay about $100 for the monthly Internet and cell phone plan and set aside $200 per month for retirement.
This month, Gigi’s parents spend $285 on food, $175 on utilities, and $112 on the Internet and cell phone plan. What are her parents’ total fixed and variable expenses this week?
fixed expenses total: $
variable expenses total: $
Answers
and $125 is variable
Given the function h(x) = 3(5)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.
Part A: Find the average rate of change of each section. (4 points)
Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points)
i really just need an answer for B mostly
Answers
Part A: The average rate of change of section A is 12 and that of B is 300.
Part B: The average rate of change of Section B is 25 times greater than that of Section A due to the exponential nature of the function h(x).
Explaining the average rate of change for two sections and comparing their values in an exponential function context,
Part A:For Section A: h(1) - h(0) = 3 [tex](5)^1[/tex]- 3 [tex](5)^0[/tex] = 15 - 3 = 12
For Section B: h(3) - h(2) = 3 [tex](5)^3[/tex] - 3 [tex](5)^2[/tex] = 375 - 75 = 300
Therefore, the average rate of change for Section A is 12 and for Section B is 300.Part B:
To find how many times greater Section B's rate of change is compared to Section A, we divide the average rate of change of Section B by the average rate of change of Section A: [tex]\frac{300}{12}[/tex] = 25 times greater.
One rate of change is greater than the other because of the exponential growth nature of the function. The function h(x) = 3 [tex](5)^x[/tex] is an exponential function, and the rate of change increases rapidly as x increases, leading to a much greater average rate of change for Section B than Section A.
The question is:
Given the function h(x) = 3 [tex](5)^x[/tex], Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.
Part A: Find the average rate of change of each section.
Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other.
Can someone please put this in numerical order? Will give 15 points to who does!!!!!!
85 points 91 points 76 points 80 points 83 points
89 points 94 points 75 points 84 points 94 points
Answers
Hope this helps!
What quadrilateral has exactly one pair of parallel sided?
Answers
solve the inequality 1/2 y +6<0
Answers
y < -12
all real numbers less than - 12:
( - ∞ , - 12)
{ y ∈ R | y < - 12}
Explanation:
1) Starting pointL inequality (1/2)y + 6 < 0
2) subtract 6 from both sides:
(1/2)y + 6 - 6 < 0 - 6
(1/2) y < - 6
3) multiply both sides by 2:
(2)(1/2)y < - (2) (6)
y < -12
4) That is all real numbers less than - 12:
Equivalent to ( - ∞ , - 12) or { y ∈ R | y < - 12}
A candy store sells walnuts for $8 per pound, and pecans for $2 per pound. If the store wants to create a bag of mixed nuts that sells for $6 per pound, how many pounds of pecans must be mixed with two pounds of walnuts?
Answers
Explanation:
x ==> weight of walnuts
y ==> weight of pecans
║ x + y = 1
║ 8x +2y = 6
║ x = 1 - y
║ 8x + 2y = 6
8(1 - y) + 2y = 6
8 - 8y + 2y = 6
6y = 2
y = 1/3
x = 1 - 1/3 = 2/3
Which of the following equations is the equation of the circle with the diameter AB and points A (0,0) and B (8,6) ?
Answers
so its choice C
What is the MAD of the data set?
{5, 12, 1, 6, 11}
Enter your answer in the box
Answers
Answer:
Its 3.6
Step-by-step explanation:
You turn {5, 12, 1, 6, 11} into {2, 5, 6, 1, 4} add them into 18 then divide by 5 into 3.6
which of the following are examples of exponential decay? select all that apply.
a) the population of Florida is increasing by 43% each year
b) the pesticide DDT has a half-life of 15 years
c)march madness has 64 teams in the bracket. each round, half of the teams are eliminated
d)after an antibiotic is added to a culture of bacteria, the number of bacteria is reduced by half every three hours
e) a tree frog population doubles every three weeks
Answers
Half-lives are given by exponential function, and since they are decreasing, it is decay.
With the teams being eliminated, this is decay.
Bacteria can be represented by exponential functions, and it is decreasing.
The polygons above are similar. Write a similarity statement and solve for x. The images are not drawn to scale.
Answers
Based on the way the polygons are marked, A corresponds with N, B corresponds with M, C corresponds with L and D corresponds with K. Using this, we set up a proportion:
12/8 = (5x+1)/(5x-11)
Cross multiplying, we have:
12(5x-11) = 8(5x+1)
Using the distributive property,
12*5x - 12*11 = 8*5x + 8*1
60x - 132 = 40x + 8
Subtract 40x from both sides:
60x - 132 - 40x = 40x + 8 - 40x
20x - 132 = 8
Add 132 to both sides:
20x - 132 + 132 = 8+132
20x = 140
Divide both sides by 20:
20x/20 = 140/20
x = 7
Which of the following can be used to prove that triangle EFG is also a right triangle?
Prove that the sum of a and c is greater than b.
Prove that the sum of a and b is greater than c.
Prove that the ratio of EF and KL is greater than 1 and hence, the triangles are similar by AA postulate.
Prove that KL is equal to c by Pythagorean Theorem.
Answers
Prove that the sum of a and c is greater than b.
Prove that the sum of a and b is greater than c.
Prove that the ratio of EF and KL is greater than 1 and hence, the triangles are similar by AA postulate.
Prove that KL is equal to c by Pythagorean Theorem.
The correct answer is:
Prove that KL is equal to c by Pythagorean Theorem.
It can also be "Prove that triangles are congruent by SSS property and hence angle EGF is equal to angle KML"
Answer:
Prove that KL is equal to c by Pythagorean Theorem.
Step-by-step explanation:
In the two triangles triangle KLM is a right triangle with sides a and b as the two legs of the right triangle .We can apply Pythagorean Theorem to find KL.
In triangle KGF two sides are a and b .If we prove KL=EF then Pythagorean Theorem will be true for triangle KGF and hence we can prove triangle KGF to be a right triangle.
The correct option to prove triangle KGF to be a right triangle is to Prove that KL is equal to c by Pythagorean Theorem.
Find the perimeter of right triangle WXY if the radius of the circle is 4 units and WY = 20 units.
Answers
The perimeter of the right triangle WXY is 60 units.
Explanation:To find the perimeter of a right triangle WXY, we need to know the lengths of the two legs. Given that the radius of the circle is 4 units and WY is 20 units, we can determine that the hypotenuse, XY, is equal to 20 units. So the perimeter of the triangle is the sum of the lengths of its three sides: 20 + 20 + 20 = 60 units.
Learn more about perimeter of a right triangle here:https://brainly.com/question/10580036
#SPJ12
We calculate the perimeter of the right triangle by first finding the lengths of the legs using the Pythagorean theorem and the given radius, then summing these lengths with the hypotenuse.
Explanation:The subject of this question is Geometry, specifically involving the calculation of the perimeter of a right triangle. In a right triangle, the lengths of the three sides follow the Pythagorean theorem, written as [tex]a^2 + b^2 = c^2[/tex], where c is the hypotenuse and a and b are the lengths of the other two sides.
Here, the length of the hypotenuse WY is given as 20 units. In a right-angled triangle, where a circle is inscribed, the radius of the circle is equal to half the sum of the two legs of the triangle (radius = (a+b)/2). In this case, the radius is given as 4 units. Thus, the total of the two legs a and b is 8 units.
The Pythagorean theorem can now be used to solve for a and b, knowing that [tex]a^2 + b^2 = 20^2[/tex] and a + b = 8; then to find the perimeter, sum the hypotenuse and the lengths of the legs, i.e. Perimeter = a + b + c.
Learn more about Perimeter of right triangle here:https://brainly.com/question/10580036
#SPJ12
A jar contains 5 blue marbles, 7 yellow marbles, and 8 green marbles. What is the probability of randomly choosing a blue marble, not replacing it, and then choosing a green marble?
Answers
The probability of randomly choosing a blue marble, not replacing it, and then choosing a green marble is,
⇒ 2 / 19
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Given that;
A jar contains 5 blue marbles, 7 yellow marbles, and 8 green marbles.
Hence, Number of marbles = 5 + 7 + 8 = 20
Thus, the probability of randomly choosing a blue marble is,
⇒ 5 / 20
⇒ 1 / 4
And, the probability of randomly choosing a green marble is,
⇒ 8 / 19
Thus, the probability of randomly choosing a blue marble, not replacing it, and then choosing a green marble is,
⇒ 1/4 × 8/19
⇒ 2 / 19
Learn more about the probability visit:
https://brainly.com/question/13604758
#SPJ3
Find the value of x. If your answer is not an integer express it in simplest radical form.
Answers
Answer:
4to5 and 3to7
Step-by-step explanation:
:)hope this helped
Triangle BCD is similar to triangle ACE. If the triangles are isosceles, what is the length of AB?
F.) 16cm
G.) 11cm
H.) 40cm
J.) 35cm
Answers
=======================================================
Explanation:
AE = 22 and BD = 2.75
The triangles are similar so we can divide the two values (larger over smaller) to get: 22/2.75 = 8
This means that AE is 8 times larger than BD
AE = 8*BD
BC = 5 because CD = 5 (we have an isosceles triangle BCD)
AC is going to be 8 times longer than BC based on what we found above
AC = 8*BC
AC = 8*5
AC = 40
We can break up AC into AB+BC (think of it like gluing the two pieces together)
AC = AB+BC
40 = AB+5
40-5 = AB
35 = AB
AB = 35
Please help asap will give brainliest!!!
Answers
hope it helps
brainliest pls?????
Hello? How do you make a scatter plot?
Answers
Hope I helped you! :)
what is the mean of 54,48,52,56,55
Answers
_______________________________________________
Explanation:
_______________________________________________
To calculate the mean:
Take the sum of all the numbers in the data set; and divide that number by:
the number of values in the data set.
_______________________________________________
→ { 54 + 48 + 52 + 56 + 55 } / 5 ;
→ { 265 } / 5 ;
= 53
_______________________________________________
What is the correct meaning of the word foresight?
Kim had the foresight to finish her homework early so she could attend the concert that night.
A) the ability to manage time effectively
B) the inability to see what might happen in the feature
C) a lack of regard for being responsible
D) the ability to look forward and plan ahead
Answers
what ia the length of the hypotenuse triangle below?
Answers
[tex] h^{2} = (9 \sqrt{2})^{2} + (9 \sqrt{2})^{2} \\ \\ h^{2}=162+162 \\ \\ h^{2}=324 \\ \\ h= \sqrt{324} \\ \\ h=18 [/tex]
Thus, the length of the hypotenuse will be 18.
Answer: 18 - apex
Step-by-step explanation:
What is the volume of the box if it is scaled down by a factor of $1/10$?
Answers
Length = 8 ÷ 10 = 0.8
Width = 3 ÷ 10 = 0.3
Height = 13 ÷ 10 = 1.3
Volume = 0.8 x 0.3 x 1.3 = 0.312 units³
Answer: 0.312 units³
The volume of the box if it is scaled down by a factor of 1/10 is 27 cubic inches.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, Length: 9 in, Width: 3 in and Height: 10 in
We know that, the volume of a cuboid is Length×Width×Height
Here, the volume of a box = 9×3×10
= 270 cubic inches
It is scaled down by a factor of 1/10
Now, 1/10 ×270
= 27 cubic inches
Therefore, the volume of the box if it is scaled down by a factor of 1/10 is 27 cubic inches.
To learn more about the volume visit:
https://brainly.com/question/13338592.
#SPJ3
"Your question is incomplete, probably the complete question/missing part is:"
What is the volume of the box if it is scaled down by a factor of 1/10? Length: 9 in, Width: 3 in and Height: 10 in
If 2 inches = 25 miles how many inches are 60 miles
Answers
Find the amount of miles for each inch.
25/2 = 12.5
1 inch = 12.5
Divide 60 miles with 12.5 miles to find the amount of inches.
60/12.5 = 4.8
4.8 inches = 60 miles
hope this helps
Zöe schedules advertising for a radio station. She must fill 12 minutes each hour with 30 second ads and 60 second ads. Zöe sold twice as many 60 second ads as she did 30 second ads. She defines x as the number of 30 second ads and y as the number of 60 second ads that she sold. Zöe writes the system and . Which statement identifies Zöe’s error and the correction that is needed? Zöe used seconds to measure time for each ad, but she used minutes for the total. She should have used . Zöe set up an equation that would translate to “twice the number of 30 second ads = the number of 60 second ads.” She should have used . Zöe compared the number of 30 second ads to the number of 60 second ads without including the total number of ads. She should have used . Zöe did not include the whole hour in the total time. She should have used .
Answers
Zöe's error is in mixing units of seconds and minutes in her measurements. Her total time of 12 minutes should be converted into seconds (720 seconds) to match the 30 and 60 second ad times. The correct equations for her problem are x + 2y = 720 and y = 2x.
Explanation:The given question relates to system of linear equations and misunderstandings in time measurements. The discrepancy in Zöe's equations relates to the units she used for the ad times and the total time. She was dealing with 30 second and 60 second ads (measuring them in seconds), but she attempted to balance this against a total time of 12 minutes (measured in minutes).
The correct approach would be to ensure that all the times are using the same units. Since there are 60 seconds in a minute, Zöe's total time should be expressed as 720 seconds. Additionally, she sold twice as many 60 second ads as 30 second ads. Therefore, her equations should be: x + 2y = 720 and y = 2x.
Learn more about System of Linear Equations here:https://brainly.com/question/27063359
#SPJ12
The question relates to formulating equations based on given constraints. Zöe's error is in not taking into account that the sum of the times for the 30 and 60-second ads should be 12 minutes. Moreover, the relation between the quantities of the 30 and 60-second ads should be such that the latter is double the former.
Explanation:The question presents a situation where Zöe has to schedule ads for a radio station with a fixed time frame. The constraints are that she has 12 minutes every hour to fill with either 30 second ads or 60 second ads, and that she sold twice as many 60 second ads as she did 30 second ads. Here, x represents the number of 30 second ads and y represents the number of 60 second ads.
Given these criteria, Zöe should set up two equations. The first equation will express the total time consumed by ads: (0.5x + y) minutes = 12 minutes. The second equation represents the relationship of the number of ads: y = 2x.
The error in the way the problem is stated seems to revolve around Zöe's representation of the constraints. She should consider the fact that the total time occupied by the 30 and 60-second ads must equal 12 minutes. Furthermore, the relationship between the number of 30 and 60-second ads should be factored into the equations, with the 60-second ads being twice the number of 30-second ads.
Learn more about Mathematical Equations here:https://brainly.com/question/29514785
#SPJ12
7.Mrs. Deaton’s 6th grade class is creating a mural for the school entryway. Each student is creating a square with a side length of 10 inches that will be joined together to form this mural. The mural itself will be in the shape of a square with five of the student’s squares along each side. What is the total area of the mural?
Answers
10 in.•5 squares= 50in. per side
The entire mural is a square. Therefore, all sides are equal.
50 in.•50 in.=2,500in. squared
Hope this helps!
Final answer:
To determine the total area of the mural, we calculate the area of one student's square, which is 100 square inches, and multiply by the total number of squares in the mural, resulting in 2500 square inches for the total area.
Explanation:
Mrs. Deaton's 6th grade class is working on a mural where each student contributes a square with a side length of 10 inches. The mural will be arranged in a larger square with five student squares along each side. To determine the total area of the mural, we will calculate the area of one student's square and then multiply by the total number of squares.
First, the area of one student's square is found by squaring the side length:
Area of one square = side length × side length = 10 inches × 10 inches = 100 square inches.
Since the mural is a square consisting of 5 student squares on each side:
Total number of student squares = 5 × 5 = 25 squares.
Finally, to find the total area of the mural, we multiply the area of one square by the total number of squares:
Total area of mural = area of one square × total number of squares = 100 square inches × 25 = 2500 square inches.
The total area of the mural is 2500 square inches.