Determine the value of x in the triangle shown. answer : 135° 115° 360° 110°
Answers
Answer:
135 degrees
Step-by-step explanation:
all the outer angles of a triangle should equal 360, so subtract the two given angles from 360 and you should get 135 degrees.
The value of x in the triangle is 135°.
What is Triangle?A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.
Sum of the interior angles of a triangle is 180 degrees.
Given is a triangle whose two of the outer angles are given.
When we extend a side of a triangle from a vertex, then the angles formed on the inside and the outside at that vertex is supplementary.
Supplementary angles are those which have the sum of angles equal to 180 degrees.
One interior angle of the triangle = 180° - 115° = 65°
Second interior angle of the triangle = 180° - 110° = 70°
We have sum of the interior angles of a triangle is also supplementary.
Third interior angle = 180° - (70° + 65°) = 45°
x° = 180° - 45° = 135°
Hence the value of the exterior angle is 135°.
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Related Questions
What is 6.27 divided by 1000?
Answers
Answer:
0.00627 :)
Step-by-step explanation:
Answer:
0.00627
Step-by-step explanation:
Helen is swimming in a lake when she decides she wants her goggles. To get the goggles she swims at a steady pace back to a floating dock. She starts 52 m from the dock. The graph shows Helen's distance from the dock in relation to the time spent swimming back.
Let x represent the time swimming back to the dock. Let y represent the distance from the dock. Which equation is represented by the graph?
Question 5 options:
y = 20x – 52
y = 32x + 52
y = –20x + 52
y = –32x – 52
Answers
Answer: y=32x+52
Step-by-step explanation: i took the test lol
Answer:
y=32x+52
Step-by-step explanation:
EDGE
Jackson Middle School has 5 students in choir for every 1 student in band. If there are 47 students in band, how many students are in choir?
Answers
Step-by-step explanation:
5 students in choir <=> 1 student in band
If there are 47 students in band =>
47×5 = 235 students in choir (B)
Answer:
235 (Option B)
Step-by-step explanation:
GIVEN :-
There are 5 students in a choir for every 1 student in band.TO FIND :-
Number of students in choir if there are 47 students in band.SOLUTION :-
\(\boxed {Use \: \: unitary \: \: method \: \: to \: \:solve \: \: this \: \: question}\)
5 students in choir ⇔ 1 student in band. It can be also written as :-
⇒ 1 student in band ⇔ 5 students in choir
Now , multiply 47 to both sides.⇒ (1 × 47) students in band ⇔ (5 × 47) students in choir
⇒ 47 students in band ⇔ 235 students in choir.
CONCLUSION :-
There are 235 students in the choir.
The circumference of a circular park is approximately 18 feet. What is the approximate area inside the circular park?
Answers
Answer:
25.685 square feet.
Step-by-step explanation:
Circumference = 2 * π * radius
From this, we can derive the formula for the radius:
radius = Circumference / (2 * π)
Let's substitute the value of the circumference and calculate the approximate radius:
radius = 18 / (2 * π)
radius ≈ 18 / (2 * 3.14159)
radius ≈ 2.865 feet
Now that we have the approximate radius, we can calculate the area:
Area ≈ π * radius²
Area ≈ 3.14159 * (2.865)²
Area ≈ 3.14159 * 8.193225
Area ≈ 25.685 square feet
Therefore, the approximate area inside the circular park is approximately 25.685 square feet.
C = 2πr
where C is the circumference and r is the radius of the circle.
In this case, we are given that the circumference is approximately 18 feet, so we can set up the following equation:
18 = 2πr
Solving for r, we get:
r = 9/π ≈ 2.864 feet
Now we can use the formula for the area of a circle:
A = πr^2
Substituting the value we found for r, we get:
A = π(2.864 ft)^2 ≈ 25.85 ft^2
Therefore, the approximate area inside the circular park is approximately 25.85 square feet.
which is the dependent variable?
As days in a month go on, your power bill increases.
Average price of gas increases throughout the year.
Electricity used vs. temperature outside.
Money made; cups of lemonade sold.
Answers
Answer:
Electricity used vs. temperature outside. I'm pretty sure this is correct.
Step-by-step explanation:
This is because these two things are being tested.
Please help!!! I will mark brainlist!
Answers
Answer:
answer c
Step-by-step explanation:
a = 113
b = ?
b + 113 = 180
b = 180 - 113
b = 67
hope it helps!
plz mark as brainliest
someone help please this was due a week ago
Answers
Is 5/100 a repeating decimal?
Answers
Answer:
no
Step-by-step explanation:
it is 0.05
Answer:
Noooooooo. i dont think it is. 5/100= 0.05 so no
Step-by-step explanation:
What percentage is 2/3 + 1/5?
Answers
Answer:
86.67%
Step-by-step explanation:
2/3 + 1/5
First, find the lowest common denominator
15
2x5 = 10
1 x 3 = 3
10 + 3 = 13
13/15 = 0.8667
As a percent that would be 86.67%
Percentage of 2/3 + 1/5 is 86.666%.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given expression
\(\frac{2}{3}+\frac{1}{5}\)
= \(0.66666+\frac{1}{5}\)
= \(0.66666\times\frac{100}{100} +\frac{1}{5}\)
= \(\frac{0.66666\times100}{100}+\frac{1}{5}\)
= \(\frac{66.666}{100} +\frac{1}{5}\)
= \(66.666\% + \frac{1}{5}\)
= \(66.666\%+\frac{1}{5} \times\frac{20}{20}\)
= \(66.666\%+\frac{20}{100}\)
= \(66.666\%+20\%\)
= \(86.666\%\)
Hence, the percentage of 2/3 + 1/5 is 86.666%.
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Can you answer number 3, 4, and 5?
(Whoever is right gets brainliest)
Answers
Answer:
3: 200, 200
4:800
5:400
Step-by-step explanation:
:)
Answer:
3, 175 by 300. 4, 950. 5, 52,500
Step-by-step explanation:
The histogram shows the number of points scored by a basketball team for one season. A histogram titled points scored in one season shows the number of games in which a certain number of points were scored. The data is as follows. 69 to 76 points: 3 games. 77 to 84 points: 6 games. 85 to 92 points: 8 games. 93 to 100 points: 1 game. According to the histogram, in what percentage of games did the team score between 77 and 92 points? Enter your answer in the box. Round your answer to the nearest percent.
Answers
Find the total number of games with points scored between 77 & 92 pts - 14
To find the percentage divide 14/18 - .777
Multiply .777*100 - 77.7
Round to 78%
Percentage of games the team scored between 77 and 92 is 77.7% .
Given data from the histogram shows the number of games that are played in the range of 77 - 92.
Total number of games played = 18
Number of games played in the range 77 - 92 = 14
Percentage of games played in the range 77-92 = (Number of games played in the range 77 - 92) / (Total number of games played) × 100
Percentage = (14)/(18) × 100
= 77.7% .
Hence the number of games played in the given range is 77.7%.
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Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111
Answers
Here are the pairs matched with their products:
- (-5)(4.2) matches with -21
- (-7)(-3) matches with 21
- (2.5)(-9) matches with -22.5
Pairs (4) and (5) do not have corresponding products in the given options.
(-5)(4.2) = -21
(-7)(-3) = 21
(4)(5) = 20
(2.5)(-9) = -22.5
So, the pairs of numbers and their products are as follows:
(-5)(4.2) = -21 matches with -21.
(-7)(-3) = 21 matches with 21.
(4)(5) = 20 matches with 20.
(2.5)(-9) = -22.5 matches with -22.5.
I hope this helps!
Help me please il give 20 points!
Answers
Answer: 1. a. 15 b. 11 c. 2 d. 7 e. 5.5
2. Stem: Leaf:
1 9
2 5, 9
3 3, 3, 8
4 0, 7, 9
5 4, 5
6 1, 5
7 2, 7
8 1
3. a. 13 inches b. I'm pretty sure that it is the second quarter because there is more snow. c. The first quarter because it's section is more spread out among the numbers.
Step-by-step explanation:
2. Stem:
Leaf:
9
2
5, 9
3
3, 3, 8
4
0, 7, 9
5
4, 5
6
1,5
7
2, 7
8
1
3. a. 13 inches
b. I'm pretty sure that it is
the second quarter because there is more show.
c. The first quarter because it's
section is more spread out among the numbers.
Step-by-step explanation:
HELP PLS ASAP!! The point (–5, –9) was reflected over an axis to become the point (5, –9). Which axis was it reflected over? Explain.
A. x-axis, because the x-coordinate is the opposite
B. x-axis, because the y-coordinate is the opposite
C. y-axis, because the x-coordinate is the opposite
D. y-axis, because the y-coordinate is the opposite
Answers
Answer:C
Step-by-step explanation: -5, -9 would be on the bottom left. 5, -9 would be on the bottom right of the graph
Answer: c
Step-by-step explanation:
Three-eighths of the students in a certain class are males and 3/5 of the male
students in the class are accounting majors.
If 1/4 of the female students in the class are accounting majors, what fraction of
the students in the class are NOT accounting majors?
Answers
Answer:
3/5 of the students in the class are not in accounting majors
Step-by-step explanation:
The total number of males in the class is 3/8
3/5 of them are accounting majors
The ones who are not in accounting majors are;
3/8 - 3/5 = 9/40
The total number of female students in the class is;
8/8 - 3/8 = 5/8
1/4 of them are accounting majors
The ones who are not in accounting majors are;
5/8 - 1/4 = 3/8
Total number of students not in accounting majors;
9/40 + 3/8
= 24/40
= 3/5
please help and show work please
Answers
Answer:
see below
Step-by-step explanation:
a. -11r ≥ 220
Divide both sides by -11 to isolate r.
r ≥ -20
b.
-8 ≤ -7 + (x/10)
Add 7 to both sides.
-1 ≤ x/10
Multiply both sides by 10 to cancel out the denominator of x.
-10 ≤ x
c. -1 - 6(5q - 2) ≥ -139
Distribute the -6 across the parentheses.
-1 - 30q + 12 ≥ -139
Combine like terms on the left side.
-30q + 11 ≥ -139
Subtract 11 from both sides.
-30q ≥ -150
Divide both sides by -30 to isolate q.
q ≥ 5
Hope this helps!
divide both sides by -11
since both sides are divided, flip the sign
r<=-20
r is less than or equal to negative twenty
i’m not sure how to complete the other questions, but i hoped #1 helped :)
41.501÷4
Please help me,
Answers
Answer:
10
Step-by-step explanation:
PLEASE HELP! WILL MARK BRAINLIEST!
Answers
Answer:
1) width = 10 + 2x
length = 20 + 2x
2) area = (10 + 2x)(20 + 2x)
= 4(5 + x)(10 + x)
3) 4(5 + x)(10 + x) = 600
(5 + x)(10 + x) = 150
50 + 15x + x^2 = 150
x^2 + 15x - 100 = 0
(x - 5)(x + 20) = 0
x = 5 feet
The width of the walkway is 5 feet.
A survey of a company's employees explored the relationship between employee status and support of a new workplace safety policy. The results are displayed in the following two-way frequency table.
Workplace Safety Policy
For Against Total
Part-Time Employee 20 60 80
Full-Time Employee 100 20 120
Total 120 80 200
Based on the table above, which of the following statements are true?
I.There are twice as many part-time employees against the workplace safety policy than full-time employees against the workplace safety policy.
II.There are more employees for the workplace safety policy than against the workplace safety policy.
III.There is an equal number of part-time employees and full-time employees.
IV.There are more part-time employees against the workplace safety policy than for the workplace safety policy.
A.
I and IV
B.
II and IV
C.
I and II
D.
II and III
Answers
Answer:
Answer would be C
Step-by-step explanation:
Help pls. Also wdym this is to short yk why so long >:/
Answers
Answer:
Y= mx + b
so Y = 1/3x + 2
just substitute
Now, we shall use points (3,2) as the substitutes for the solution for b, which 3 would be the input and 2 would be y.
Therefore, 2 = 1/3(3) + b
2 = 1 + b, therefore, one would be subtracted from 2 which would give us the answer of b equaling to one. Thus, y = 1/3x + 1
Help (question below)
Answers
Answer: -45 feet in 15 hours
Step-by-step explanation: First you have to know how much it drills per hour. For that your ganna have to divide -72 and 24 to get answer of how much per hour, which is -3 per hour. Finally, your ganna have to multiply -3 and 15 which gives you the final answer of -45 feet in 15 hours
Answer:
-45 feet.
Step-by-step explanation:
First, we need to find out the rate at which the machine was digging. To do this, we need to divide -72 by 24, to find how many feet are dug each day. Once we divide, we get a rate of -3 feet per hour. We can then make an equation based on this, y = -3x. We can then plug in the hours we want to find, 15, into the equation, to make y = -3(15). Once we multiply, we get y = -45, so our answer is -45 feet.
Please Help I don't really understand?
A student has a rectangular bedroom. If listed as ordered pairs, the corners of the bedroom are (14, 22), (14, −10), (−17, 22), and (−17, −10). What is the perimeter in feet?
31 feet
32 feet
63 feet
126 feet
Answers
The perimeter of the rectangular bedroom is 126 feet.
Option (D) is the correct answer.
What is a rectangle?A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
To find the perimeter of the rectangular bedroom, we need to add up the lengths of all four sides.
We can use the distance formula to calculate the length of each side.
Length of the side joining (14, 22) and (14, -10):
distance = √((14 - 14)² + (-10 - 22)²) = √(32²) = 32 feet
Length of the side joining (14, -10) and (-17, -10):
distance = √((-17 - 14)² + (-10 - (-10))²) = √(31²) = 31 feet
Length of the side joining (-17, -10) and (-17, 22):
distance = √((-17 - (-17))² + (22 - (-10))²) = √(32²) = 32 feet
Length of the side joining (-17, 22) and (14, 22):
distance = √((14 - (-17))² + (22 - 22)²) = √(31²) = 31 feet
Perimeter = 32 + 31 + 32 + 31 = 126 feet
Therefore,
The perimeter of the rectangular bedroom is 126 feet.
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Write the equation of the linear relationship in slope-intercept form, using decimals as needed.
x 0 100 200 300
y 1.5 96.5 191.5 286.5
Enter the equation of the relationship.
Answers
Answer:
y = -0.3x + 105
Step-by-step explanation:
x1 - x2 / y1 - y2 is the method to use to find the answer, so it
= (94.5-97.5) / (35-25) which
= (-3) / (10) which = -0.3.
That is m for ya, and for b,
Sub the first point (25, 97.5) into the equation of this line:
97.5 = (-0.3)*(25) + b => b = 97.5 - (-7.5) = 105
In conclusion, the equation is y = -0.3x + 105.
y =-0.3x + 105
Step-by-step explanation:
x1-x2/y1- y2 is the method to use to find the answer, so it
= (94.5-97.5) / (35-25) which
= (-3) / (10) which =-0.3.
That is m for ya, and for b,
Sub the first point (25, 97.5) into the equation of this line:
97.5 = (-0.3)*(25) + b => b = 97.5 - (-7.5) = 105
In conclusion, the equation is y =-0.3x + 105
Find the slope of the graph. (MUST
SIMPLIFY.)
Answers
The ratio table below describes the relationship between grapes and blueberries in a fruit salad.
Fruit Salad
Grapes
(cups)
Blueberries
(cups)
2
1
4
2
20
10
24
12
Mandie is making 15 cups of fruit salad. What ratio of grapes to blueberries should she use?
6:9
8:7
10:5
12:3
Please read the entire question! Thanks!
Answers
Answer:
12:3
explanation: i dont have an explanation bc i didnt do it
Which figure has exactly one line of symmetry? A rhombus, pentagon, rectangle and triangle are shown. A. Rhombus B. Pentagon C. Rectangle D. Triangle
Answers
Answer: The figure that has exactly one line of symmetry is B. Pentagon.
Step-by-step explanation: A line of symmetry is a line that divides a figure into two congruent halves that are mirror images of each other. A figure can have zero, one, or more lines of symmetry depending on its shape and orientation. To find the lines of symmetry of a figure, we can use a paper folding method or a reflection test. A paper folding method involves folding the figure along a line and checking if the two halves match up exactly. A reflection test involves reflecting the figure over a line and checking if the image coincides with the original figure.
Using either method, we can see that:
A. Rhombus has two lines of symmetry: one diagonal and one vertical.
C. Rectangle has two lines of symmetry: one horizontal and one vertical.
D. Triangle has either zero or three lines of symmetry depending on the type of triangle. An equilateral triangle has three lines of symmetry: one vertical and two bisecting the angles. An isosceles triangle has one line of symmetry: the perpendicular bisector of the base. A scalene triangle has no lines of symmetry.
B. Pentagon has either zero or five lines of symmetry depending on the type of pentagon. A regular pentagon has five lines of symmetry: each passing through a vertex and the midpoint of the opposite side. An irregular pentagon has no lines of symmetry.
Therefore, the only figure that has exactly one line of symmetry is B. Pentagon, but only if it is an isosceles pentagon.
Hope this helps, and have a great day! =)
Use diagrams or the description of equivalent ratios to show that the ratios 2: 3, 4: 6, and 8: 12 are equivalent.
Answers
Your answer should be 48 because these numbers are factors of 48
So they are equivalent to each other
A fence post that is 5 feet tall casts a 2-foot shadow at the same time that a tree that is 24 feet tall casts a shadow in the same direction. Determine the length of the tree's shadow.
14.6 feet
11.6 feet
9.6 feet
4.8 feet
Answers
10.4 feet
Step-by-step explanation:
26/5 = 52
5.2(2)=10.4
The length of the tree's shadow will be 9.6 feet. The correct option is C.
How to calculate the length?The characteristics of related triangles can be used to solve this issue. Let's write "x" for the tree's height and "y" for the shadow's length. The following proportion can be configured:
(height of post) / (length of post's shadow) = (height of tree) / (length of tree's shadow)
5/2 = 24/y
To solve for "y", we can cross-multiply and simplify:
5y = 48
y = 48/5 = 9.6 feet
Therefore, the length of the tree's shadow is 9.6 feet.
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???????????????????????
Answers
Answer: Which one do we have to answer?
Step-by-step explanation:
Find the horizontal distance between points Y(1,−3/4) and Z(−1,−3/4) .
Answers
Answer:
C.Subtract x- vlaues 8-3=5 units
Step-by-step explanation: