Answer:
x = 32
Step-by-step explanation:
• any lower base angle is supplementary to any upper base angle.
here base angle = 2(x - 10) and upper base angle = 4x + 8
supplementary angles sum to 180°
sum the base and upper base angles and equate to 180
2(x - 10) + 4x + 8 = 180
2x - 20 + 4x + 8 = 180
6x - 12 = 180 ( add 12 to both sides )
6x = 192 ( divide both sides by 6 )
x = 32
in a military camp 50 offices had a choice of beans, plantain and rice. of there, 21 chose beans, 24 plantain and 18 rice. Also 3 chose beans only, 9 plantain only, 2 rice only and 5 chose all three kinds of food
illustrate this on a venn diagram
The Venn diagram to illustrate this information is given 24 children got plantain and 18 rice and 21 chose beans.Following relation are given below.
What is Venn diagram in math?A Venn diagram is a diagrammatic representation of two or more sets.The Venn diagram shows the relationship among sets using circles and the area they cover concerning each other.Venn diagrams are used to visually depict sets, relationships between sets, and operations on sets.
What are the symbols in Venn diagram?∪ symbol shows Union of two sets. A complete Venn diagram represents the union of two sets. ∩ shows the Intersection of two sets.Intersection represents something that you want to compare and contrast. Where the two circles intersect we would write traits that the two things have in common.
Now
The number of children who took plantain and beans only are:
Let beans = a
Rice = b
Plantain = P
So: a + b = 24 - 9 - 5 = 10
Note that 24 children took plantain.
9 children took only Plantain.
5 took the 3 food items.
So,
b + c = 18 -2 - 5 = 11
a + c = 21 - 3 - 5 = 13
P∩B = a + 5
= 6 + 5 = 11
R ∩ B = C + 5
=7 + 5 = 12
None of the three items of food =
50 - (3 + 2 + 9 + 6 + 4 + 7 + 5)
= 50 - 36
=14
To learn more about venn diagram visit;
https://brainly.com/question/29301560
#SPJ1
Which equation is NOT true?
Parallelogram Q R S T with diagonal S Q. Angle R has measure (15 x + 55) degrees, angle R Q S is (6 x) degrees, angle S Q T is (4 x) degrees, and angle T is (26 x) degrees.
CLEAR CHECK
15+55=6+4
15
x
+
55
=
6
x
+
4
x
15+55=26
15
x
+
55
=
26
x
25+55=180
25
x
+
55
=
180
m∠=6+4
Answer: can you put them in order so i can read it better?
Step-by-step explanation:
PLZ HELP ME I GIVE BRAINLIEST!!!!!!
Answer:
I don't know the answer am sorry to say
Step-by-step explanation:
ask someone else I just wasted your time
BOWLING The cost for Nobu to go bowling is $4 per game plus an additional flat fee of $3.50 for the rental of bowling shoes. The cost can be modeled by the function f(x)=4x+3.5, where x represents the number of games bowled. Describe the graph of g(x) as it relates to f(x) if Nobu does not rent bowling shoes.
g(x) = , 1 of 3.
Select Choice
, which is the translation of f(x) , 2 of 3.
Select Choice
units , 3 of 3.
Select Choice
The graph of g(x) = 4x, is the translation of f(x) by subtracting 3.5 units, 2 of 3.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
The cost can be modeled by the function f(x)=4x+3.5, where x represents the number of games bowled.
As per the given question, the required solution would be as:
g(x) = 4x , is the translation of f(x) by subtracting 3.5 units, 2 of 3.
The graph of g(x) would be identical to the graph of f(x), but shifted 3.5 units downward, 3 of 3.
This is because the flat fee for the rental of bowling shoes is not present in the function g(x), so the y-intercept of the graph would be at (0,-3.5) instead of (0,0) in f(x) function.
The slope and the shape of the function will remain the same.
Learn more about the graphs here:
brainly.com/question/16608196
#SPJ1
A bakery sold 32 bagels in the first hour of business and 37 bagels in the second hour. If the bakery had 228 bagels to start with, how many bagels were left after the second hour?
Answer:
159 bagels left
Step-by-step explanation:
add the 32 and 37 then subtract the answer from 32 and 37 from 228 and your answer is 159
Help plz this is on khan academy btw
Answer:
B and C
Step-by-step explanation:
x is bigger than 45, so it can’t be 45.
then 51 and 100 are bigger than 45
Find the distance between the points.
(-2.5,3), (5,3)
The distance is
Answer:
7.5 units
Step-by-step explanation:
5-(-2.5)=7.5
find the measure of angle x in each of the following figure
Answer:
x = 114
Step-by-step explanation:
180 - 66 = x
x = 114
Have a nice day!
You spin the spinner shown below once. The spinner has 4 equal sectors colored pink, purple, blue, and green.
What is P(blue)?
If necessary, round your answer to 2 decimal places.
Answer:
0.25
Step-by-step explanation:
khan academy
Omar walked across the room, a distance of 6.75 yards, in 5.3 seconds. Write a unit rate to describe how quickly Omar walked in 1 second. Explain your thinking.
(please hurry, thank you) :)
Answer:
1.273584906 yds / second
Step-by-step explanation:
Take the number of yards and divide by the number of seconds
6.75 yds / 5.3 seconds
1.273584906 yds / second
[tex] \huge \mathrm{Answer : }[/tex]
Distance covered = 6.75 yardsTime taken = 5.3 seconds[tex] \boxed{ \mathrm{speed = \dfrac{distance}{time} }}[/tex]
[tex] \dfrac{6.75}{5.3} [/tex][tex]\mathrm{1.2735849057 \: yd/s}[/tex][tex]\mathrm{1.27 \: yd/s\: (approx)}[/tex]In 1 second he will walk 1.27 yards
_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
Matt concluded that the system whose graph is showing has no solution. Is he correct? Explain your reasoning
Therefore, the result of the above linear equation problem's solution is hence The lines do not intersect, hence there are no solutions and an inconsistent system.
We define a linear equation.In algebra, a linear equation is one that of the form y=mx+b. The slope is B, and the y-intercept is m. Since y and x are variables, the previous sentence is frequently referred to as a "linear equation with two variables." Bivariate linear equations are linear equations with two variables. Linear equations can be found in many places, including 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When an equation has the structure y=mx+b, where m denotes the slope and b the y-intercept, it is referred to as being linear.
Here,
The lines in this system have the same slope even though the values of b vary.
This indicates the parallel lines.
The lines do not intersect, hence there are no solutions and an inconsistent system.
Since the lines are different, the equations are independent.
The result of the above graph problem's solution is hence The lines do not intersect, hence there are no solutions and an inconsistent system.
To know more about linear equation visit:
https://brainly.com/question/11897796
#SPJ1
Please look at picture please help!!
Answer:
8,167.14 m²
Step-by-step explanation:
Given:
Diameter = 102 m
Required:
Area of circle
Solution:
Area of a circle = πr²
Where,
π = 3.14
r = ½(102) = 51 m
Plug in the values
Area = 3.14*51²
Area = 8,167.14 m²
The smallest size of a hybrid bike, a bike that can be ridden both on and off dirt, is 16.9 inches . Bikes are fitted using a person's inseam with the smallest inseam for a hybrid bike being 25 in. For inseams 25 inches ( in .) or longer, each 0.68 of an inch increase in bike size, a person's inseam is 1 inch longer. A medium size bike has a range of 20.9 in. to 22 in. Write an inequality, where x is the length of an inseam, in inches, that can be used to determine the inseam sizes that best fit a medium size bike.
The inequality that can be used to determine the inseam sizes that best fit a medium size bike is 25 < x < 28.32.
show that 2/4+1/4=3/4 and not 3/8 using pictures
Answer:
Here
Step-by-step explanation:
Step by step solution:
Fractions with the same denominators can be added together by simply adding the numerators while retaining the common denominator.
The numerators should be added together while maintaining a common denominator. Add fractions with the same denominators by following the methods shown below:
Given:
=2/4 + 1/4
=(2+1)/4
=3/4
Therefore, 2/4 + 1/4=3/4 and not 3/8
Note:
Keep the following in mind while adding fractions. Make sure that the fractions denominators match.If they don't share the same denominator, change them to compare fractions that do.Once the denominators are equal, add the numbers in the numerator.In your response, place the new numerator over the old one.The fractions denominators could have changed when you reduced them to the same common denominator.To read more about "Fraction" here:
brainly.com/question/1622425
Perry borrows $150 from his brother to fix his car. His brother doesn't like lending Perry money and so charges him 7% interest per month. a. Write a rule in the "y=..." form that will give the amount of money, y, Perry will owe his brother after n months, assuming that he doesn't make any payments.
Answer: Let's say,
y = the amount of money Perry will owe his brother after n months.
x = the principal (the initial amount borrowed) = 150
r = the interest rate per month = 7/100 = 0.07
n = number of months.
We know that Interest on a loan is calculated by multiplying the principal by the interest rate.
Therefore, the interest for n months is (0.07*x)*n
So to find the total amount Perry will owe his brother after n months, we need to add the interest to the principal amount.
y = x + interest
y = x + (r*x)n
y = x(1 + rn)
Therefore, the rule in the "y =..." form that will give the amount of money, y, Perry will owe his brother after n months, assuming that he doesn't make any payments is:
y = 150(1 + 0.07*n)
It's worth noting that this formula can be used to calculate the amount he will owe after any number of months by changing the value of n, and It's assuming he doesn't make any payments, meaning if he makes any payments, the total amount he will owe will change.
Step-by-step explanation:
2. 8.SP.1.2
Which line represents the best fit for the scatter
plot data?
10
10
8
8
6
2
2
A.
0
2 4 6 8 10
C. 0
10
10
101
8
8
6
61
4
2
2
B.
0
8 10
D. 0 2 4 6 8 10
Answer:
A
Step-by-step explanation:
A. because the line of best fit has to be at best fit between the points so is a good approximation of where all the points are heading when you try to predict something.
How many solutions does the system of linear equations represented in the graph below have?
A. One solution
B. Infinitely many solutions
C. No solution
D. None of the above
What is the product of this expression? −1/4(8x−3/4)
Answer:
-6.1625
Step-by-step explanation:
-1/4=-0.85
-3/4=-0.75
-0.85*8x=-6.8
-0.85*-0.75=0.6375
-6.8+0.6375=-6.1625
Graph y = - 1/2x + 3 use the line tool and select two points on the line
The points to be graphed are (6, 0) and (0, 3). The graph of the equation is shown in the attached image
How to graph the equation of a line?y = - 1/2x + 3
In order to graph the equation of the line:
First, find the value of x when y = 0:
y = - 1/2x + 3 , when y = 0:
0 = - 1/2x + 3
1/2x = 3
x = 3 × 2
x = 6
Also, find the value of y when x = 0:
y = - 1/2x + 3, when x = 0:
y = - 1/2(0) + 3
y = 3
Therefore, the values to be plotted on our graph are (6, 0) and (0, 3). The image of the graph is attached
Learn more graphs of straight lines on:
brainly.com/question/16934180
#SPJ1
WILL MARK BRAINLIEST given angles A and B in quadrant I with tan = 7/24 and tan B = 15/8, find tan (A + B), find the exact value of each expression by applying the identity.
Using PEMDAS to resolve the trigonometric identity which involves trigonometric function, the value of tan A + tan B is 416 / 87
What is Trigonometric IdentityA trigonometric identity is an equation that is true for any value of the variables involved. These identities are useful in solving problems involving trigonometric functions. Examples include the Pythagorean identity, the sine and cosine addition formulas, and the double angle formulas.
In the given problem, we have a compound angle problem and we can solve it as;
tan A + tan B = [(tan A + tan B)] / [1 - tan A * tan B]
tan A = 7/24tan B = 15 / 8Substituting the values into the expression and solve;
tan A + tan B = [(7/24 + 15/8)] /[1 - (7/24)(15/8)]
Applying the rules of PEMDAS;
tan A + tan B = (13 / 6) / (29 / 64)
tan A + tan B = 416/87
Learn more on trigonometric identity here;
https://brainly.com/question/24496175
#SPJ1
Use distributive property to write an equivalent expression.
4(6a+4g)
please help me. ! No links or files ! please and thank you.
Answer:
Step-by-step explanation:
the way a persuasive person is that will attract good business relationships
James has a 5 digit passcode on his computer. The first three digits are numbers from 0 to 9 and the last two digits are letters from the alphabet. If the numbers and letters can repeat, what is the probability that the passcode is 417GR?
1338000
5676000
316900
1676000
Answer:
Step-by-step explanation:
This is a simple permutations problem! Let's understand, analyze and solve !
First, we understand that there are five spaces that need to be filled: _ _ _ _ _
Second, we should know HOW MANY can go in those spaces: as the problem says, ANY number 0-9,or capital letters,or lower case letters. Numbers 0-9 give us 10 options, all lowercase letters give 26 options, and capital letters give us 26 options. Adding these together, that is 62 options.
Third, we see that since each space can give 62 options (as numbers and letters can be repeated), you multiply 62 by itself five times: 62 * 62 *62 *62 *62. This gives us 916132832 permutations for a password!
**For future reference, it is good to note that if the problem said "each letter, lowercase letter, or capital letter can only be used once". then the answer would be 62 * 61 * 60 * 59 * 58. The reason for this is that once a letter or number is used, it must be removed from the "options" total that we figured out in the 2nd paragraph above. So at first you have all 62 options, but once one is picked it cant be used in the second slot, so now there are only 61 options, so on and so forth.
ay 30 porciento de probabilidad de que sea ese
para mi es 029ABI
which of the expressions below has a 6 in the tenths place if the difference a) 17.45 - 8,81 b) 12.35 - 1.76 c) 5.78 - 2.16 d) 19.34 - 1.69
(50 points) Need help asap (2nd and 3rd option are wrong)
The correct way to represent this end behavior is,
x ⇒ ∞, y ⇒ - ∞ and as x ⇒ - ∞, y ⇒ ∞.
What is the end behavior of a polynomial?A polynomial function's final behavior is how its graph behaves as x gets closer to positive or negative infinity.
The graph's final behavior is determined by a polynomial function's degree and leading coefficient.
By observing the graph when x is approaching negative infinity y is approaching positive infinity.
And, when x is approaching positive infinity y is approaching negative infinity.
This can be symbolically expressed as,
x ⇒ ∞, y ⇒ - ∞ and as x ⇒ - ∞, y ⇒ ∞.
learn more about the end behavior of a polynomial here :
https://brainly.com/question/29255299
#SPJ1
Can someone help me with this? I'm stressed out and its urgent.
Gross pay is $360, Health insurance is $50.40, Pension deduction is $21.60, Total deductions is $173.85 and net pay is $186.15.
What is gross Earnings?Gross pay or gross earnings is the amount of money an employer earn before all the tax and other deductions and benefits.
Employee works for 40 hours at a rate of $9.00 per hour.
Gross pay = 40 × 9 = $360
Health insurance = 14% of gross earnings
= 14% × 360
= 0.14 × 360
= $50.40
Pension deduction = 6% of gross earnings
= 0.06 × 360
= $21.60
Total deductions = $55.00 + $21.80 + $25.05 + $50.40 + $21.60
= $173.85
Net pay = Gross earnings - Total deductions
= $360 - $173.85
= $186.15
Hence the amount of gross pay is $360, and net pay is $186.15.
Learn more about Gross Pay here :
https://brainly.com/question/14690804
#SPJ1
Please help me
Find the circumference if the shape using pi 3.14
Answer:
using formula
C=2 pie r
2*3.14*11m
69.08 m
Step-by-step explanation:
Here 11m is radius and pie is given 3.14
use these values in the formula 2 pie r
Answer:
69.08m
Step-by-step explanation:
hope this helps branliest plzz
use these values in the formula 2 pie r
Find the values of a, b and c
Answer:
3rd option
Step-by-step explanation:
use hypotenuse method
The guidelines for a wheelchair ramp suggest that the ratio of the rise to the run be no greater than 1 : 12
A. Which wheelchair ramps follow the guidelines
A. A ramp with a length of 30 feet and a height of 3 feet
B. A ramp with a length of 20 meters and a height of 0.5 meters
C. A ramp with a length of 384 inches and a height of 32 inches
D. A ramp with a length of 1 feet and a height of 12 feet
B. A wheelchair ramp provides access to a building with a front door that is 2.5 feet above the sidewalk. Which best describes the possible length(s) for the ramp that will follow the guidelines.
Let x represent the length (in feet) of the ramp
A. X < 30
B. X > 30
C. X ≥ 30
D. X ≤ 30
Answer:
Q1. Answer: According to the guidelines, the ratio of the rise (height) to the run (length) of a wheelchair ramp should be no greater than 1:12.
Option A: A ramp with a length of 30 feet and a height of 3 feet. The ratio of the rise to the run is 3/30 = 1/10, which is less than 1:12, so this ramp follows the guidelines.
Option B: A ramp with a length of 20 meters and a height of 0.5 meters. The ratio of the rise to the run is 0.5/20 = 1/40, which is less than 1:12, so this ramp follows the guidelines.
Option C: A ramp with a length of 384 inches and a height of 32 inches. The ratio of the rise to the run is 32/384 = 8/96 = 2/24, which is less than 1:12, so this ramp follows the guidelines.
Option D: A ramp with a length of 1 feet and a height of 12 feet. The ratio of the rise to the run is 12/1 = 12, which is not less than 1:12, so this ramp does not follow the guidelines.
Therefore, the ramps that follow the guidelines are options A, B, and C.
Q2. Answer: The guidelines for a wheelchair ramp suggest that the ratio of the rise (height) to the run (length) of the ramp should be no greater than 1:12. In this case, the rise is 2.5 feet and the run is the length of the ramp (x feet). The ratio of the rise to the run is 2.5/x.
To follow the guidelines, the ratio of the rise to the run should be no greater than 1:12, or 1/12. Therefore, the length of the ramp (x) should be greater than or equal to 2.5/1/12 = 30 feet.
Therefore, the correct answer is C: X ≥ 30.
Step-by-step explanation:
please help will give brainliest
Answer:
V = 170 in³
Step-by-step explanation:
The volume of a triangular pyramid
V = (1/3)Ah
where A = area of the triangular base, and H = height of the pyramid
---------------------------
A = (1/2)(12)(5)
A = 30
V = (1/3)(30)(17)
V = 170 in³