61° is the measure of <STW
How to find the measure of <STW?To solve this problem, we need some angle geometry knowledge
Given: <SRT = 44°, <RST = 9x+3, <RTW = 14x+7
<RTW = <SRT + <RST (exterior angle of a triangle is equal to the sum of opposite interior angles)
14x+7 = 44 + 9x+3
14x -9x = 44+3-7
5x = 40
x = 40/5 = 8
<STW + <RTW = 180 (sum of angles on a straight line)
<STW = 180 - <RTW
<STW = 180 - (14x+7)
Substitute x = 8:
<STW = 180 - (14(8) +7)
<STW = 180- 119 = 61°
Therefore, the measure of <STW is 61°
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If, on their own, it takes 6 hours for Person A to complete a task and 9 hours for Person B to complete the same task, then how many hours would it take if they worked together? Estimate your answer to 4 places after the decimal, if necessary.
Answer:
Step-by-step explanation:
A does 1/6 of the task per hour.
B does 1/9 of the task per hour.
Together, they do 1/6+1/9 = 5/18 of the task per hour, finishing in 18/5 hours.
18/5 = 3.6 hours
The longest side is 24cm and the second-longest side is 20cm what is the length of the shortest side?
HELP!
y = 2.5x + 5.8
when x = 0.6
Answer:
[tex]y = 7.3[/tex]
Step-by-step explanation:
6th grade math help me please...
Answer:
B and D
Step-by-step explanation:
a. 5t+4t =9t
b. t+5+4= t+9
c. 9t
d. 4×5×t= 20t
e. t(5+4)- do the inside the parenthesis first. =9t
the answer would me B and A because the answer isn't 9t so it would be those!! also the boxes on the right you multiply t×5 and t×4 and that would be 5t + 4t =9t
70 out of 350 calculators at a bookstore are scientific calculators. What percent of the calculators are scientific calculators?
Please help
Is that right?
Answer:
Yep your very smart
Step-by-step explanation:
Answer:
yep
Step-by-step explanation:
since a triangle's total angle is 180 degrees,
(5x + 18) + (3x + 2) + (x + 16) = 180
9x + 36 = 180
9x = 144
x = 16
m<D = (3x + 2)
m<D = 3(16) + 2
m<D = 48 + 2
m<D = 50 (your answer)
I NEED HELP ASAP!!! Question is in the photo
Answer:
x = 88.333
Step-by-step explanation:
Octagon = 1080 degrees
1080 = 2x + x + 143 + 152 + 116 + 125 + 140 + 139 (Clean up the problem)
1080 - 815 = 3x
265 = 3x (Divide each side by 3)
x = 88.333
In ΔKLM, m = 320 cm, ∠L=123° and ∠M=52°. Find the length of l, to the nearest centimeter.
Answer:
341
Step-by-step explanation:
l=
sin52/320sin123
≈340.572≈341
Can someone pls help me with this?
Answer:
the answer is C
Step-by-step explanation:
b. x +6 <-8 and x-1 > -1
Answer:
what is the question? please write a question.
Find the equation of the line through point (−2,−1) and perpendicular to 5x+6y=−6.
Step-by-step explanation:
When lines are perpendicular to each other
multiplying their gradients(m) will equal to - 1
so , m1 × m2 = -1
1st:Find m1
5x+6y= -6
make y the subject,
6y= -5x -6
[tex]y = \frac{ - 5x - 6}{6} [/tex]
y= -5/6x - 1
because y = mx + c
m1 = -5/6
2nd:find m2
-5/6 × m2 = -1
m2 = 6/5
3rd: substitute m2 and the coordinates into y=mx+c
y=mx+c
-1= (6/5)(-2)+c
-1 = -12/5 + c
-5 = -12 + c
-5+12= c
c = 7
4th: substitute m2 and c into y= mx+c to find the equation the line
y =6/5x + 7 (Ans)
As per slope-intercept form, the equation of the line through point (−2,−1) and perpendicular to 5x + 6y = -6 is 5y = 6x + 7.
What is the slope-intercept form of a straight line?The slope-intercept form of a straight line is y = mx + c.
Here, 'm' is the slope and 'c' ix the y-intercept of the given line.
The given equation is 5x + 6y = - 6
Therefore, in slope-intercept form, this equation will be:
y = - 5x/6 - 1
Therefore, the slope of this line is m = - 5/6 and the y-intercept is c = - 1.
The required line is perpendicular to the given line.
Therefore, the slope of the required line is
= - 1/m
= 6/5
Again, the required line passes through the point (- 2, - 1).
Therefore, - 1 = - 2(6/5) + c
⇒ c = - 1 + 12/5
⇒ c = 7/5
The equation of the required line is
y = (6/5)x + 7/5
⇒ 5y = 6x + 7
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The classroom at Lincoln Middle school are painted every summer.If 7 gallons of paint are needed to paint 4 classrooms, how many gallons of paint are needed to paint 16 classrooms
Answer:
Step-by-step explanation:
16c(7g/4c)=28g
What operation does the expression "7y" mean?
Answer:
Multiplication
Step-by-step explanation:
7y means 7 times the value of y. So 7 times y = 7y
find the volume of metal required to make a closed box of thickness 1 cm with external measurements 12 cm × 7 cm × 10
Answer:
The volume of the metal is:
[tex]V_{t}=548\: cm^{3}[/tex]
Step-by-step explanation:
First, let's find the volume of the front face of the square:
[tex]V_{1}=12*7*1=84\: cm^{3}[/tex]
The back face is the same, so we have:
[tex]V_{2}=84\: cm^{3}[/tex]
The volume of the side faces will be:
[tex]V_{3}=7*10*1=70\: cm^{3}[/tex]
[tex]V_{4}=70\: cm^{3}[/tex]
And finally, the volume of the top and bottom side faces of the box will be:
[tex]V_{5}=12*10*1=120\: cm^{3}[/tex]
[tex]V_{6}=120\: cm^{3}[/tex]
The total volume of the metal will be:
[tex]V_{t}=V_{1}+V_{2}+V_{3}+V_{4}+V_{5}+V_{6}[/tex]
[tex]V_{t}=2(84)+2(70)+2(120)[/tex]
[tex]V_{t}=548\: cm^{3}[/tex]
I hope it helps you!
The longest side of triangle is 10 cm which group of line segments could form the other 2 sides of the triangle
Answer
A 5cm and 5 cm
B 7cm and 8cm
C 4cm and 4cm
D 9cm and 10 cm
Please i need to know
Answer:
The group of line segments that could form the other 2 sides of the triangle is;
B. 7 cm and 8 cm
Step-by-step explanation:
The triangle inequality theorem states that the sum of the length of any two sides of a triangle is larger than the length of the third side
The given parameter of the triangle is that the length of the longest side of the triangle = 10 cm
Let, 'a', and 'b', represent the remaining two sides of the triangle
Therefore, by the triangle inequality theorem, we have;
(1) a + b > 10 cm
(2) 10 cm + a > b
(3) 10 cm + b > a
The option that satisfies condition (1), (2), and (3) are options 'B' and 'D', for which we have;
7 cm + 8 cm = 15 cm > 10 cm
10 cm + 7 cm = 17 cm > 8 cm
10 cm + 8 cm = 18 cm > 7 cm
9 cm + 10 cm = 19 cm > 10 cm
10 cm + 9 cm = 19 cm > 10 cm
10 cm + 10 cm = 20 cm > 9 cm
Therefore, the possible combination of the other two sides are;
7 cm and 8 cm or 9 cm and 10 cm
However, a side of option 'D' is 10 cm and given that the longest side of the triangle = 10 cm, the length of each of the other two side should be less than 10 cm and the only given possible combination of the other two side should be option 'B', 7 cm and 8 cm.
Answer:
B 7cm and 8cm
Step-by-step explanation:
what is the volume of the cylinder shown below to the nearest hundredth of a cubic meter 3.5 m w 2 m height
Answer:
The answer is 76.97
Step-by-step explanation:
The formula that I used
V=πr^2h
Volume = π·3.52·2 ≈ 76.96902
Answer:76.93
Step-by-step explanation:
Find the values of x and y.
Answer:
y=180-63-63/2=27degree...in triangle mln
x=180-27-63=90....in triangle mon
Answer:
y=27, x=80
Step-by-step explanation:
∠N= 63°(angles opposite to equal sides)
2∠y+63+63=180°(angle sum property)
2∠y=54°
∠y=27°
27°+63°+∠x=180°(ASP)
∠x=180°-90°=90°
Hope it helps, mark me brainliest pls
Can yalllll plllllssss hellppp meeee
HELPPP I WILL GIVE YOU BRAINLIEST WALLAH
Answer:
78qt= 19.5 U.S. gallons
Step-by-step explanation:
convert 235% to a decimal
Answer:
2.35
Step-by-step explanation:
Answer:
2.35
Step-by-step explanation:
move decimal point left 2
c)PLEASE MAN PEOPLE ARE USING ME FOR POINTS
Calculate the measures of spread for Mrs Hampton's class data. Justify your
response by describing the process used to find each measure, (2 points)
The measures of spread include the range, quartiles and the interquartile range, variance and standard deviation. Let's consider each one by one.
Interquartile Range:
Given the Data -> First Quartile = 2, Third Quartile = 5
Interquartile Range = 5 - 2 = 3
Range: 8 - 1 = 7
Variance:
We start by determining the mean,
[tex]\:1+\:2+\:3+\:3+\:3+\:5+\:8 / 7 = 3.57[/tex]
n = number of numbers in the set
Solving for the sum of squares is a long process, so I will skip over that portion and go right into solving for the variance.
[tex]\sum _{i=1}^n\frac{\left(x_i-\bar{x}\right)^2}{n-1},\\\\=> SS/n - 1\\\\=> 31.714/7 - 1\\=> 5.28571[/tex]
5.3
Standard Deviation
We take the square root of the variance,
[tex]\sqrt{5.28571} = 2.29906[/tex]
2.3
If you are not familiar with variance and standard deviation, just leave it.
Answer:
the one above is right lol
Step-by-step explanation:
lets see who'll get this correct. I'll brainlist whoever does.
Answer:
49°
Step-by-step explanation:
i + 131 ° = 180° ( being co-interior angles)
i = 180° - 131°
i = 49°
Answer:
Step-by-step explanation:
i + 131 ° = 180° ( being co-interior angles)
i = 180° - 131°
i = 49°
54 out of the 90 employees at the water slides are temporary employees. What percentage of the employees at the water slides are temporary?
I need help ASAP PLEASE!!!!
Help! Please!
Factor the polynomial completely.
32z^5-2z
Answer:
2z(4z^2+1)(2z+1)(2z-1)
Step-by-step explanation:
here is just some basic polynomial factoring where you find something both the numbers have in common and you take that out of the equation. here i just went a little bit deeper and after taking out the common factor i also expanded my answer further as this would be the fully correct answer.
hope this helps!
Answer:
2 z ( 4 z ^2 + 1 )( 2 z+ 1 ) ( 2 z − 1 )
Step-by-step explanation:
Olivia has a points card for a movie theater. She receives 25 rewards points just for signing up. She earns 7.5 points for each visit to the movie theater. She needs 130 points for a free movie ticket. How many visits must Olivia make to earn a free movie ticket?
Answer:
0 visits
Step-by-step explanation:
According to the scenario, calculation of the given data are as follows,
Rewards for signing up = 80 points
Reward per visit = 2.5 points
Total points needed = 105
Let, number of visits = x
So, we can calculate number of visits by using following formula,
80 + (2.5 × X) = 105
2.5X = 105 - 80
2.5X = 25
X = 25 ÷ 2.5
X = 10 visits.
Hence, Olivia needs to make 10 visits in order to earn a free movie ticket
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
130-7.5=122.5
122.5÷7.5≈16R2
16+1=17
1. A beaker holding 1.5 litres of water is placed in a temperature-controlled room so that 120 mL of
water evaporates each day. Use "d' as the day and V(d) as the volume of water left in beaker.
a) Use function notation to write an equation for this situation.
b)
On which day there will be 900 mL of water left in the beaker? Show all calculations.
c)
Write the domain and range of the function in set builder notation (use variables provided).
Domain:
Range
Answer:
Oi tudo bem?
meu nome é Ana Kesia, e qual é o seu nome também?
Desculpe-me eu Nn consegui responder sua pergunta.
Mas mesmo assim, agradeço pelos pontos estava precisando.
tchau, tenha uma Ótima tarde!
Bons estudos nas suas atividades! ❤♥
In 1978, a Japanese designer named Tomoyuki Ono grew the first cube-shaped watermelon.
The fruit is placed in a box when it is small, and it grows into the shape of the box. Akira
bought one of these cube-shaped watermelons at the market. The watermelon's edges were
11 inches long.
What was the volume of Akira's watermelon?
Write your answer as a whole number or decimal. Do not round.
There are three people in Melissa's family. The range of their shoe sizes is 5. Two people her family wear shoe size 7. Melissa's shoe size is not 7 or 11. What is Mellissa's shoe size?
Answer:12
Step-by-step explanation:
The range is simply the highest number minus the smallest number. Since we are told that 2 members of the family have shoe size of 7 and the range is 5, then Melissa shoes size will be:
= 5 + 7
= 12
If x = 15 and y = 4, what is the value of the following expression?
x - 8 + 3y
A.
52
B.
19
C.
41
A right triangle has a leg with a length of 21 units and a hypotenuse with a length of 21 V2 units Eunice states that because the hypotenuse is twice the length of the given leg, the right triangle is a 30"-60"90" triangle.
Answer:
2nd and 3r are the correct options.
Step-by-step explanation: