Answers
The value of x in the expression for the angle of the triangle is 12.
What is the value of x in the triangle?The figure in the image is a triangle.
From the image:
Angle 1 = 5x
Angle 2 = 60 degrees
Angle 3 = 60 degrees
Note that, the sum of the interior angle of a triangle equals 180 degrees.
To determine the value of x, add the 3 angles and equate to 180 degrees.
Hence:
5x + 60 + 60 = 180
Collect and add like terms:
5x + 120 = 180
Subtract 120 from both sides:
5x + 120 - 120 = 180 - 120
5x = 180 - 120
5x = 60
x = 60/5
x = 12
Therefore, x has a value of 12.
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Related Questions
Circumference and Area of a circle
#5 please
Answers
Answer: the circumference is 25.13 and the area is 50.26 if rounding up then 50.27
Step-by-step explanation: to find circumference it is 2piR and to find the area it is piR^2
what's the perimeter of a square 22 M by 27 m
Answers
Answer:108
Step-by-step explanation:
p=4a
A designer of carved lawn figures needs to reduce the size of a statue by making each linear dimension 40% of the original. If a volume of N cm3 of wood was used to carve the original statue, how many cubic centimeters of wood are needed to make the smaller statue?
Answers
Answer:
N x (0.4)^3
Step-by-step explanation:
Hailey picked 3.75 kg of blueberries at her grandmother's farm. What number of grams is equivalent to 3.75 Kilograms?
Answers
Answer:
3750 grams
Step-by-step explanation:
1 kilogram is 1000 grams'
Hope this helped
:)
The first and second steps to solve the equation
+5-20 are shown below.
3* +5-520-5
Which property was applied in the second step?
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
Answers
Answer:
C is your answer
Step-by-step explanation:
Theo's Survey Results
Eye Color
Brown Blue
Boy
25
25
Gender
Girl
25
25
Theo recorded the gender and eye color of students walking in the hallway at his middle school. What is the
experimental probability in simplest form that the next student he sees will be a boy with brown eyes?
Answers
Answer:
25% or 1/4
Step-by-step explanation:
There altogether 100 boys and girls together and the probability of one color would be 25. Therefore 25/100 would your fraction but it has to be simplified so then the answer would be 1/4
The figure on the grid is the result of enlarging a rectangle by a scale factor of 1.5. On a coordinate plane, a rectangle has a length of 12 and width of 3. Which graph shows the original rectangle? On a coordinate plane, a rectangle has a length of 18 and width of 4. On a coordinate plane, a rectangle has a length of 8 and width of 2. On a coordinate plane, a rectangle has a length of 8 and width of 3. On a coordinate plane, a rectangle has a length of 12 and width of 3.
Answers
Answer:
It is the second option
Step-by-step explanation: I did the review <3
Answer:
B
Step-by-step explanation:
1. Solve by setting the linear factors equal to zero.(x+4)(x-3) = 0
a) x = 4 and x = -3
b) x = 2 and x = 1
c) x = -4 and x = 3
d) x = -2 and x = 1
Answers
Answer:
C - x = -4 and x = 3
Step-by-step explanation:
Set (x+4) = 0
x = -4
set (x-3)=0
x=3
Answer:
c) x = -4 and x = 3
Step-by-step explanation:
(x+4)(x-3)=0
x+4=0 ( You want to find the x value, so we subtract 4 for both sides to get rid of +4)
x +4 -4 = 0 -4
x = -4
x-3=0 ( The same thing, but add 3 either side to get rid of -3 )
x-3 +3 = 0+3
x= 3
The circumference of a circle is 80ft. What is the area of the circle? (Rounded to the nearest square foot)
Answers
Answer:
A≈509.3ft^2
Step-by-step explanation:
You find the Area of a Circle with formula A=πr^2
Down below is an example of how you can do so.
So for you problem you are given the circumference of the circle divide 80 by 2 to get 40. 40/3.14=12.73...
A=3.14*12.73...^2
12.73*12.73=162.05...
3.14*162.05=508.84...
Rounded off Area = 509.3
Please Help Me With This!! I'd Appreciate It So Much!!
Keiko is walking. The number of calories she has burned varies directly with the number of minutes she has walked. See the graph below.
How many minutes does Keiko walk per calorie burned?
Answers
Answer:
5
Step-by-step explanation:
try 5 it should work
5 calories per minute.
The graph shows a proportional relationship where every 10 minutes, 50 calories are burned. Since it is proportional, we can divide 50 by 10 and get 5.
The top two nets represent the triangular prisms that are attached to the bases of a rectangular prism. The composite figure is composed of all three prisms. The shaded areas are faces that are shared between the prisms. What is the total surface area of the composite figure?
78 square units
144 square units
282 square units
342 square units
Answers
Answer:
282 square units
Step-by-step explanation:
I just answered this question
The total surface area of the composite figure is 282 square units. Thus, the correct option is C.
What is the area?The area of a two - dimensional figure is the area that its perimeter encloses. The quantity of unit squares that occupy a closed figure's surface is its region.
The top two nets are triangular prisms connected to the bases of a rectangular prism. The composite image is made up of all three prisms. The dark sections represent faces shared by the prisms.
The total surface area of the composite figure is calculated as,
A = 4(1/2 x 3 x 4) + 2(5 x 10) + 2(4 x 10) + 2(3 x 3) + 2(3 x 10)
A = 24 + 100 + 80 + 18 + 60
A = 282 square units
Thus, the correct option is C.
More about the area link is given below.
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2. Which equation shows converted to slope-intercept form?
Answers
Answer:
y = mx + b
Step-by-step explanation:
y = mx + b shows slope-intercept form.
Convert the angle
θ
=
26
0
∘
θ=260
∘
theta, equals, 260, degrees to radians.
Answers
Answer:
[tex]\frac{13\pi}{9}[/tex]radian
Step-by-step explanation:
We are given that
[tex]\theta=260^{\circ}[/tex]
We have to convert angle into radian.
We know that
Radian measure=[tex]\frac{\pi}{180}\times degree\;measure[/tex]
Using the formula then we get
Radian measure=[tex]\frac{\pi}{180}\times 260[/tex]
Radian measure=[tex]\frac{13\pi}{9}[/tex]radian
Hence, 260 degree=[tex]\frac{13\pi}{9}[/tex]radian
Help,please,thankyou
Answers
Answer:
C.
Step-by-step explanation:
the answer is D not c
cause try it then see
There is a blizzard, and Matt notices that the snow is falling at a constant rate. Two hours after the beginning of the snowstorm, there is a total of 9 inches of snow. Five hours after the beginning of the snowstorm, there is a total of 15 inches of snow.
5a. How much snow falls each hour?
5b. How much snow was on the ground before the blizzard started?
5c. Write an equation that models the snowfall’s linear function.
Answers
Answer:
2 inches per hour, 5 inches, y=2x+5
Step-by-step explanation:
No, I don't think I will
1.) 2x−9y=14
2.) x=−6y+7
please help!!
Answers
Answer
7,0
Step-by-step explanation:
Substitute -6y+7 into problem one where the x is
distribute the 2 and subtract the 9 y and you will get
-21y+14=14
subtract 14 from both sides and it will be -21y=0 so y will be 0
substitute the 0 into equation 2 and find x=7
2.) -12y+14-9y= 14
3.) -21y + 14 = 14
4.) -21y = 0
5.) -21y/-21 = 0/-21
y = 0
6.) 2x-9(0) =14
7.) 2x=14
8.) 2x/2 = 14/2
x=7
so, your answer is (7,0)
Jason is painting a large circle on one wall of his new apartment. The diameter of the circle will be 8 feet. Approximately how many square feet of wall will the circle cover?
Answers
Answer:
about 50.3 feet squared
Step-by-step explanation:
Area of Circle= pi times radius squared
8/2=4
radius=4
4x4=16
Area=16 pi feet
about 50.3 feet sqared
Answer:
50.27
Step-by-step explanation:
Using the Quadratic Formula: x = −b ± b2− 4ac√2a solve for the following Quadratic trinomial: x2−10x + 4.75 Explain each step: 1. How did you find the a, b and c? 2. How did you fill in the quadratic formula? Show 3. Where did you start? 4. What are your steps 5. What is your answer.
Answers
The solution of the quadratic trinomial is x=9,1.
What is a quadratic trinomial?A three terms polynomial of degree 2 is known as quadratic trinomial.
How to solve the quadratic trinomial?
The general form of quadratic equation is ax²+bx+c =0,
where x = (-b±√(b²-4ac))/2a
The equation is x²-10x+4.75=0
Here, a=1, b= -10, c=4.75
Hence, x= (10±√(100-19))/2
x=(10+8)/2, x= (10-8)/2
x=9, x=1
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Final answer:
The quadratic trinomial x² - 10x + 4.75 is solved using the quadratic formula. The coefficients identified are a=1, b=-10, and c=4.75, and when substituted into the formula, it yields solutions x = 7 and x = 3.
Explanation:
Solving a Quadratic Equation Using the Quadratic Formula
To solve the quadratic trinomial x2−10x + 4.75 using the quadratic formula, 'x' equals minus 'b', plus-or-minus the square root of 'b' squared minus four 'a' 'c', all over two 'a', we first identify the coefficients a, b, and c from the trinomial, which are in the standard form of ax2 + bx + c = 0.
Identifying coefficients: a = 1 (the coefficient of x²), b = -10 (the coefficient of x), c = 4.75 (the constant term).
Plugging the coefficients into the quadratic formula: x = −(-10) ± √((-10)2 − 4(1)(4.75)) / (2(1)).
Calculating the discriminant: Calculate b2 − 4ac which is 100 − 19.
Square root step: Take the square root of the discriminant, which is √81.
Final calculation: Compute the two possible values for x which are x = 5 + √81 / 2 and x = 5 − √81 / 2.
Solution: The roots are x = 5 + 9/2 and x = 5 − 9/2, simplifying to x = 7 and x = 3.
The final answer for the roots of the equation x² − 10x + 4.75 = 0 using the quadratic formula are x = 7 and x = 3.
What is the value of log Subscript 3 Baseline 81?
2
3
4
5
Answers
Answer:
4
Step-by-step explanation:
Using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]
Given
[tex]log_{3}[/tex] 81 = n, then
81 = [tex]3^{n}[/tex]
Note that 81 = [tex]3^{4}[/tex] , thus
[tex]3^{4}[/tex] = [tex]3^{n}[/tex]
Since the bases are equal then equate the exponents
n = 4
The value of log Subscript 3 Baseline 81 (i.e Log₃ 81) obtained is 4
Data obtained from the question Log₃ 81 =? How to determine the value of Log₃ 81Let Log₃ 81 be equal to n i.e
Log₃ 81 = n
The value of n can be obtained as follow:
Log₃ 81 = n
81 = 3ⁿ
Express 81 in index form with 3 as the base
3⁴ = 3ⁿ
Cancel out 3
n = 4
From the calculation made above, we can conclude that the value of log Subscript 3 Baseline 81 (i.e Log₃ 81) is 4
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find the area of that shape please and show work
Answers
Given:
AB = 9 in, BC = 2 in
DE = 3 in, EF = 3 in
To find:
The area of the shape
Solution:
ABCH is a rectangle.
Area of rectangle = length × width
= AB × BC
= 9 × 2
Area of ABCH = 18 in²
GDEF is a square.
Area of square = side × side
= DE × EF
= 3 × 3
Area of GDEF = 9 in²
Area of the shape = Area of ABCH + Area of GDEF
= 18 in² + 9 in²
= 27 in²
The area of the shape is 27 in².
Toni orders school lunch on Mondays, Wednesdays, and Fridays.
On what percentage of weekdays does Toni NOT order school lunch?
Answers
Answer:
60%
If you were to set this equation up it would be 3/5 is equal to x/100. Then you would cross multiply and then divide both sides by 5. Then you would get your answer.
Answer:
60%
Step-by-step explanation:
What is the answer for 10 and 11 step by step. Please
Answers
Answer:
sOoRrY bUt i cAnT rEaD
11.8+12.5+x<37.8
24.3+x<37.8
2. x < or equal to 3
6.8+7.9+6.4+x < 24.1
21.1+x<24.1
Solve for u:
-10.74=u-(−11)
Answers
Answer:
-21.74
Step-by-step explanation:
-10.74 = u + 11
-10.74 - 11 = u + 11 - 11
-21.74 = u
u = -21.74
if tan 0= -3/8 which expression is equivalent to cot0?
Answers
Answer:
-8/3
Step-by-step explanation:
should be -8/3
cotangent is the reciprocal of tangent
tan 0 = -3/8
cot 0 = 1/tan 0 = 1 / (-3/8) = 8/-3 = -8/3
Answer: 1/-3/8
Step-by-step explanation:
What is the value, after 7 years, of a 2014 Ford Mustang that originally costs $25,000.00
Answers
Answer:
Use the equation y=a(1-r)^t
In this case y=25,000(1-0.08)^7
Giving you...
$13,946.17
(Round as needed)
Answer:
The rounded answer is 14000
When should you use the median and interquartile range as your measure of center and measure of variability to
compare populations shown on a box plot? Check all that apply
when there are outliers in the data sets
when there are no big gaps in the middle of the data sets
when the plots representing the data are symmetrical
when the plots representing the data are nonsymmetrical
when there are no outliers in the data set
Intro
Done
Answers
Answer:
1,2,4
Step-by-step explanation:
edg
The median and interquartile range is used as a measure of center and measure variability to compare populations when:
When there are outliers in the data sets
When there are no big gaps in the middle of the data sets
When the plots representing the data are symmetrical
When there are no outliers in the data set
We have,
Use the median and interquartile range as measures of center and variability to compare populations shown on a box plot in the following scenarios:
- When there are outliers in the data sets:
The median and interquartile ranges are resistant to outliers, meaning they are not significantly influenced by extreme values.
- When there are no big gaps in the middle of the data sets:
The median is a measure of the center that is not affected by extreme values or outliers, making it appropriate when there are no significant gaps or clusters in the middle of the data sets.
The interquartile range, which measures the spread of the central 50% of the data, is also less influenced by extreme values compared to the range or standard deviation.
- When the plots representing the data are symmetrical:
The median is a suitable measure of center for symmetrical distributions, where the data is evenly distributed around the middle.
In such cases, the median provides a representative measure of the central tendency.
The interquartile range also captures the spread of the data within the central 50% and can be used as a measure of variability.
- When there are no outliers in the data set:
While the median and interquartile ranges are resistant to the influence of outliers, they can still be used effectively to compare populations when no outliers are present.
In the absence of outliers, the median accurately represents the central tendency, and the interquartile range provides a robust measure of variability.
Therefore,
When there are outliers in the data sets
When there are no big gaps in the middle of the data sets
When the plots representing the data are symmetrical
When there are no outliers in the data set
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Alena is a farmer.
T(A) models the time (in minutes) it takes Alena to plow an area of A square meters.
A
T(A)
100
470
120 180
564 846
When does the plowing time increase faster?
Choose 1 answer:
A
Between an area of 100 square meters and an area of 120 square meters
B) Between an area of 120 square meters and an area of 180 square meters
©
The plowing time increases at the same rate over both intervals
Answers
Answer:
It increases at the same time so C
Step-by-step explanation:
Answer:
choice C: The plowing time increases at the same rate over both intervals.
Step-by-step explanation:
40% of OatyPop cereal boxes contain a prize. Hannah
plans to keep buying cereal until she gets a prize. What is
the probability that Hannah only has to buy 3 or less
boxes before getting a prize?
We need to design a simulation. Which random device can we use to BEST
represent this situation?
Use a double-sided coin and
assign heads as the prize and
tails as no prize.
Use a number cube with the
numbers 1 through 6 and assign
1 through 2 as the prize and 3
through 6 as no prize.
Use a random number generator
ranging from 1 to 10 and assign
1 through 4 as the prize and 5
through 10 as no prize.
Use a deck of cards and assign
spades as the prize and all
other suits as no prize.
Answers
Answer:
Use a Random Number Generator
Step-by-step explanation:
I hate failing a I ready lesson. Hope this helps you!!
3x2 + 6x - 42 = 0
solve by factoring
thx!
Answers
Answer:
x = -1 + [tex]\sqrt{15}[/tex], -1 - [tex]\sqrt{15}[/tex]
The Smiths spend 8% of their budget on entertainment. Their total budget this year is $3,000 more than last year, and this year they plan to spend $3,600 on entertainment. What was their total budget last year?
Answers
Answer:
$6600
Step-by-step explanation:
3000+3600=6600
Answer:
Their total budget was $42000 last year.
Step-by-step explanation:
8% = 0.08
1.) 0.08( x + 3000 ) = 3600
2.) Distribute:
0.08x + 240 = 3600
3.) Use inverse operation to solve. Subtract 240 from each side:
0.08x + 240 = 3600
- 240 = - 240
0.08x = 3360
3.) divide 0.08 from each side:
0.08x = 3360
x = 42000