The sum of the interior angles of a quadrilateral is 360°.
The ratio of 2 angles is 2 : 13. Take them as 2x° & 13x°.
Now, solve for x.
[tex]\mathfrak{215+70+2x+13x=360} [/tex]
[tex]\mathfrak{285+15x=360} [/tex]
[tex]\mathfrak{15x=360-285} [/tex]
[tex]\mathfrak{15x=75} [/tex]
[tex]\mathfrak{x=\dfrac{75}{15}} [/tex]
[tex]\underline{\mathfrak{x=5}} [/tex]
So,
2x = 2(5) = [tex]\boxed{\mathfrak{10^{\circ}}} [/tex]
13x = 13(5) = [tex]\boxed{\mathfrak{65^{\circ}}} [/tex]
[tex]\mathbb{MIREU} [/tex]
We figure 25 people will attend if it rains and 70 people will attend if it does not rain. The weather forecast indicates that there is a 20% chance of rain that day. What is the expected number of people who will attend the party?
Answer:
34
Step-by-step explanation:
20% of 70 + 80% of 25 = 14 + 20 = 34.
Answer:
61
Step-by-step explanation:
Assuming a linear relationship between the percent chance for rain and the number of attendees, the number is 20% of the way from 70 (0% chance) to 25 (100% chance).
The expected number of people with a 20% chance of rain would be 61.
(hope it helps)
Set up an algebraic equation then solve. 1. When 3 is subtracted from the sum of a number and 10 the result is 2. The sum of 3 times a number and 12 is equal to 3. Find the number. 3. Three times the sum of a number and 6 is equal to 5 times the number. Find the number. 4. The width of a rectangle is 4 inches less than its length. If the perimeter measures 72 inches, find the dimensions of the rectangle. 5. The perimeter of a square is 48 inches. Find the length of each 2. Find the number. side.
Answer:
( x+10)-3= 2
x+10= 5
x= -5
3x+12= 3
3x= -9
x= -3
3( x+6 )= 5x
3x+ 18 = 5x
2x= 18
x =9
w= l-4 y= x-4
perimeter= 2l+ 2w
2(2x) + 2( x-4)
4x+2x-8 = 72
6x= 72+8
6x= 80
x= 13.3 width = 9.3 length = 13.3
4x=48
x = 12
each 2= 24
Who’s up right now and will do homework for pay !
Step-by-step explanation:
[tex]\huge\mathbb\red{I Also Need Help}[/tex]
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how do I solve this?
Answer:
Step-by-step explanation:
total points obtained=141+87+81+91=400
total possible points=150+100+100+100=450
1.
% points obtained=(400/450)×100≈88.89
Jade did not secured more than 88.89 % marks.
2. can't read properly
Over the course of 12 hours the temperature changes a tour of -16°C what is the average change in temperature in one hour
Answer:
- 1 1/3 degree
Step-by-step explanation:
- 16 / 12
What’s a rational number between -1/6 and 1/9
Answer:
LCM of 6 and 9 are 18
1/6 = 1×3/6×3
= 3/18
= 3×10/18×10
= 30/180
1/9 = 1×2/9×2
= 2/18
=2×10/18×10
= 20/180
therefore rational no.s between 1/6 & 1/9 are
21/180,22/180,23/180,24/180,25/180,26/180,27/180,28/180,29/180
Step-by-step explanation:
sorry if im wrong
Answer:
1/18.
Step-by-step explanation:
-1/6 = -3/18 and 1/9 = 2/18
so one rational number between these values is 1/18.
Find the area of the figure. hi
The next two systems do NOT have opposite like terms.
Answer:
x = 0
y = -1
Step-by-step explanation:
Multiply second equation with -1
(-1) * (-3x - 8y) = 8
3x + 8y = -8 now find its sum with the first equation
2x - 8y + 3x + 8y = 8 - 8 add like terms (note that minus 8y will eliminate +8y)
x = 0 to find the value of y replace the x with 0 in the first equation
2*0 - 8y = 8
-8y = 8 divide both sides by -8
y = -1
What is the range of the function y=Vx+5?
Answer:
[tex]y\geq-5[/tex]
Step-by-step explanation:
Because [tex]x+5[/tex] cannot be negative, then [tex]x=-5[/tex] has to be the absolute minimum of the function given its domain. Therefore, all real values of x greater than -5 are all values that exist in the function's range.
Jarad, the track star, ran the 88 yards in 10 seconds. How fast is this in miles per hour?
Answer:
18mph
Step-by-step explanation:
We convert this to solve! 1 mile equals 1760 yards,1 yard equals 3 feet, 60 seconds equals a minute, and 1 hour equals 60 minutes.
[tex]\frac{88yd}{10sec} times \frac{3ft}{1yd} times\frac{1mi}{5280ft} times\frac{60sec}{1min} times\frac{60}{1hr}[/tex]
When you multiply all that you get 18 mph
I need some urgent help please
Answer:
124°
Step-by-step explanation:
180°( n - 2 )
180° ( 5 - 2 ) = 540°
( 2x - 3 )° + ( 3x - 2 )° + 2( 3x - 4 )° + ( 2x + 7 )° = 540°
( 2x + 3x + 6x + 2x ) + ( - 3 - 2 - 8 + 7 ) = 540
13x - 6 = 540
13x = 546
x = 42
3(42) - 2 = 124°
Which answer best describes the complex zeros of the polynomial function?
f(x) = 13 - 22 + 6x - 6
The function has two real zeros and one nonreal zero. The graph of the function intersects the x-axis at exactly one
location.
The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly two
locations.
The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly one
location.
The function has three real zeros. The graph of the function intersects the x-axis at exactly three locations.
Answer:
The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly one
location.
What are the domain and range of the function below? (In picture)
Answer:
Domain: [0 , ∞)
Range: (-∞ , 4]
Step-by-step explanation:
I) DOMAIN:For domain, look along the x axis.
The graph starts from x = 0 and it's ending point isn't given in the graph as it continues moving along the positive x axis.
Hence, it's ending point must be ∞
Domain of a function is:
[minimum point in x, maximum point in x]
=> [0, ∞)
"),(" is used for infinity.
"],[" for points that lie within the domain of the function.
II) RANGEFor range, look along the y axis.
The graph starts at y = 4, and continues moving downwards till infinity.
Range:
[minimum in y, maximum in y]
=> (-∞, 4]
For parenthesis, same rule as domain will be applied. 4 is naturally greater than all values in negative. Hence, maximum point will be 4 and minimum will be -∞.You are playing a board game and your playing piece begins the game at START. You roll a single number cube numbered 1 to 6 to find out how many spaces you can move. What are the possible outcomes of your first roll? 3 green spaces, 2 star spaces, 1 question mark space2 green spaces, 2 star spaces, 2 question mark spaces2 green spaces, 2 star spaces, 3 question mark spaces6 green spaces
Answer:
The answer is B.) 2 green spaces, 2 star spaces, 2 question mark spaces
Step-by-step explanation:
Just a "calculation," or rather, I did this question before.
Hope this helps!
(Can you mark me brainliest?)
Have a great day/night/afternoon!
- ❤ 7272033Alt ❤
Help with number 2
No links
No jokes to just get points
Answer:
A. Circle -2.5x and 1.7x list x B. List t and s C. Circle 15k and 2/5k list k and m
Step-by-step explanation:
You do it??
A line with a slope of 3 passes through the point (0, -10). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{-10})\qquad \qquad \stackrel{slope}{m}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-10)}=\stackrel{m}{3}(x-\stackrel{x_1}{0}) \\\\\\ y+10=3x\implies \stackrel{\textit{slope-intercept form}}{y=3x-10}[/tex]
what is the slope of
12(x−6)=4(y+3)
Step-by-step explanation:
the slope is always the factor a of x in the form
y = ax + b
so let's transform the original equation into this form :
12(x - 6) = 4(y + 3)
12x - 72 = 4y + 12
12x - 84 = 4y
3x - 21 = y or y = 3x - 21
therefore, the slope is 3.
Riley is saving up to buy a new television. She needs a total of $966.42. Riley has saved $200.92 already and earns $76.55 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television
Answer:
10 weeks
Step-by-step explanation:
76.55x+200.92=966.42
76.55x=966.42-200.92
76.55x=765.5
x=765.5/76.55
10
what is the sum of two number 55 + 6
Answer:
61
Step-by-step explanation:
1+1+1+1+1+1=6
6x10=60
60+1=61
which statement best describes the first step to the equation -11-3x=44-2x
A. add 3 to both sides
B add 2 to both sides
C.get the variables on one side
Get the variables on one side statement best describes the first step to the equation -11-3x=44-2x
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is -11-3x=44-2x
Minus eleven minus three x equal to forty four minus two times of x
To solve this, we need to seperated the variable on one side
-3x+2x=44+11
-x=55
x=-55
Get the variables on one side is the first step to the equation -11-3x=44-2x
Hence, get the variables on one side statement best describes the first step to the equation -11-3x=44-2x
To learn more on Equation:
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Solve each inequality 3+1/2(3-x)<_7
Answer:
x > 5
Step-by-step explanation:
multiply the fractions, break up the fraction, group like terms, convert integer into a fraction, combine the fraction, combine the numerator, etc. hope this helps.
Question 9
The probability that a vehicle will change lanes while making a turn is 55%.
Suppose a random sample of 7 vehicles are observed making turns at a
busy intersection.
Calculate the expected value.
Answer:
3.85 (rounded to 4 cars)
Step-by-step explanation:
Let X be the discrete random variable the number of vehicles changing lanes
X~B(7, 0.55)
The expected value is found by:
E(X) = 7 × 0.55
E(X) = 3.85
From a hot-air balloon, Guadalupe measures a 31^{\circ} ∘ angle of depression to a landmark that’s 316 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground?
Check the picture below.
line of best fit gina wilson. It says stuff about Hannah as a baby and her weight. plz help
A plane traveled 960 miles each way to Jakarta and back. The trip there was with the wind. It took 10 hours. The trip back was into the wind. The trip back took 20 hours. What is the speed of the plane in still air? What is the speed of the wind?
Answer:
Wind speed = 40 km/hr
Speed of the plane in still air = 280km/hr
Step-by-step explanation:
Formula to use
Distance = Rate multiplied by Time
D = R × T
Speed of the plane in still air = a
Speed of the wind = b
Plane with the wind (tailwind) is a + b where the time = 3hours
Plane against the wind is a - b, where the time = 4hours
This would give us 2 equations
3 × (a+ b) = 960
3a + 3b = 960 ...... Equation 1
4 × (a- b) = 960
4a - 4b = 960 ........ Equation 2
Solve this like you would with system of equations:
We solve the equation using elimination method.
Mulitply equation 1 by 4 and equation 2 by -3
4 × (3a + 3b = 960)
12a + 12b = 3840 ..... Equation 4
-3 × (4a- 4b = 960)
-12a + 12b= -2880 ........ Equation 5
Therefore we have
12a + 12b = 3840 ..... Equation 4
-12a + 12b= -2880 ........ Equation 5
24b = 960
b = 960÷ 24
b = 40
Wind Speed = 40km/hr
To find the speed of air, we use equation 2
4a - 4b = 960 ........ Equation 2
Substituting 40 which is wind of speed for b in equation 2 we would have
4a - 4(40) = 960
4a - 160 = 960
4a = 960 + 160
4a = 1120
a = 1120 ÷ 4
a = 280
The speed of the small plane in still air is 280 km/hr
find the value of 7u+7 given that -3u-5=4
SOMEONE PLEASE HELP QUICKLY
A commercial claims that 8 out of 10 dentists recommend a certain brand of toothpaste. To test this claim, a random sample of 85 dentists is obtained. Of these 85 dentists, 73 indicated that they recommend that brand of toothpaste. Using a significance level of 5%, test the claim to see if the proportion of dentists who recommend this toothpaste is not 8 of 10.
a) State the null and alternative hypotheses
b) State the p value
c) Make a conclusion about the claim
Answer:
rgb
Step-by-step explanation:
wrtbtrb
a) The null hypothesis is: p = 0.8 and the alternative hypothesis is p ≠ 0.8.
b) p-value is 0.0838
c) We accept the null hypothesis
What are null and alternative hypothesis?The null hypothesis of a test always predicts no effect or no relationship between variables, while the alternative hypothesis states your research prediction of an effect or relationship.
What is p-value?A p-value is a statistical measurement used to validate a hypothesis against observed data.
a. Let p be the proportion of 8 out of 10 dentists.
The null hypothesis is
[tex]H_0 : p=\frac{8}{10}=0.8[/tex]
The alternative hypothesis is
[tex]H_1:p\neq 0.8[/tex]
b. The sample proportion [tex]\hat p=\frac{73}{85}\approx 0.86\\[/tex]
Z-score, the test statistic is
[tex]Z=\frac{\hat p-p}{\frac{\sqrt{p(1-p)}}{n} } \\\\Z=\frac{0.86-0.8}{\frac{\sqrt{0.8(1-0.8)}}{85} }\\ \\Z=\frac{0.06}{0.043386}\\ \\Z=1.3829\\\\Z\approx 1.38[/tex]
P(Z > 1.38) = 1 - P(Z < 1.38)
∴ P(Z > 1.38) = 1 - 0.9162 = 0.0838
p-value is 0.0838
c. Since the p-value is greater than the level of significance α=0.05, we reject the alternative hypothesis and accept the null hypothesis
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Find the value of y 7=6+y
Answer:
y is 1
Step-by-step explanation:
6+1=7, so 7 is = to 6+1
2. In a class 70 students, 44 like Bookkeeping, 36 like- Commerce, and 17 like both bookkeeping and commere How many student like both book keeping and commerce?
Answer:
17
Step-by-step explanation:
you said that in the problem lol
Answer:
17 like both bookkeeping and commerce
Step-by-step explanation:
The problem statement itself tells you ...
"17 like both bookkeeping and commerce"
The polygons are similar. The area of one polygon is given. Find the area of the other polygon.
Answer:
108 ft²
Step-by-step explanation:
For the polygon on the left, we are given the length of one side (3 ft) and the total area (27 ft²). With this information, we can determine the length of the other side - 9 ft. I found this by dividing 27 ft² by 3 ft, giving me the final result of 9 ft.
Next, we have to find the other side of the polygon on the right so we can ultimately determine its area. It looks like there is a scale factor of 2 between the two polygons, since 3 × 2 = 6. We know that the bottom side of the left polygon is 9, so multiplying 9 by 2 should give us the bottom side of the polygon on the right. 9 × 2 = 18.
Now, we have the side lengths for the polygon on the right and can determine its area. What is 6 ft × 18 ft? Well, the answer is 107 ft², and this is the answer to the question.
Hopefully that's helpful! :)