5. Find mTOS in the figure below.
Applying the definition of a linear pair, m∠TOS = 52°
Recall:
Linear pair are two angles on a straight line whose sum equals 180°.
Given:
m∠TOU = 128°m∠SOV = (4x + 8)°m∠TOU + m∠TOS = 180° (linear pair)
Substitute128° + m∠TOS = 180°
Subtract 128° from both sides of the equationm∠TOS = 180° - 128°
m∠TOS = 52°
Thus, applying the definition of linear pair, m∠TOS = 52°
Learn more about linear pair on:
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The Lawrence Art Museum offers individual memberships for $49.50. Once someone has
purchased an individual membership, he or she can go to the museum for just $5 per visit.
What is the cost of becoming a member and visiting the museum 12 times?
Answer:
109.50
Step-by-step explanation:
cost of membership + individual visit price
49.50+ 12*5 (cost of membership plus amount of visits * ticket price)
109.50
A cannonball shot from a cannon has projectile motion.
true or false
need a answer please
ANSWER FAST 20 POINTS
Answer: A
Step-by-step explanation:
The answer is A because, if you look at the line on the graph it’s a dotted line.
This means it’s either a < or >. Next you can see the y-intercept is -1, which actually doesn’t help you because all the answers hace the same y-intercept but still good to know. Finally if you use rise or run you can find the slope to be -2x.
3. If you are calculating the acceleration of an object, and it has a speed of 30 km/hr
and the time is measure in hours what are the units for acceleration?
I
We want to see which units we should use for acceleration in the given scenario, the units that we must use are km/h², or kilometer per hour squared.
So we know that acceleration is the rate of change of the velocity (in the same way that velocity is the rate of change in position).
Note that position is represented only with distance units, like km.
And to get a velocity you use the units km/h (that tell you how many kilometers your position changes in one hour).
Similarly, the rate of change of the velocity will be (velocity)/time.
(km/h)/h = km/h²
Which is kilometers per hour squared.
If you want to learn more about acceleration, you can read:
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The average rate of population decline between 2004 and 2014 is 1.45 thousand deer per year. If the population continued to decline at this rate, in which year would the population have reached 225 thousand deer? Explain your reasoning.
Answer:
in 155 years it would reach 225 thousand deer
Step-by-step explanation:
[tex]41 \times 28 - 36 \div 32 + 17 \times 21 - 18 = [/tex]
answere please
Answer:
The answer is 1485.875.
Step-by-step explanation:
[tex]\large{\tt{\underline{\underline{\pink{SOLUTION:}}}}}[/tex]
To solve the above equation we will follow the BODMAS rule.
[tex]\blue\star[/tex] BODMAS is an order of mathematic operations.[tex]\blue\star[/tex] BODMAS rule is to be followed while solving expressions in mathematics.It stands for :
[tex]\purple\star[/tex] B = bracket[tex]\purple\star[/tex] O = order of power[tex]\purple\star[/tex] D = division[tex]\purple\star[/tex] M = multiplication[tex]\purple\star[/tex] A = addition[tex]\purple\star[/tex] S = subtractionSolving this question by bodmas rule :
[tex]\begin{gathered}\quad{\sf{ = 41 \times 28 - 36 \div 32 + 17 \times 21 - 18}}\\\\\quad{\sf{ = 41 \times 28 - \dfrac{36}{32} + 17 \times 21 - 18}}\\\\\quad{\sf{ = 41 \times 28 - 1.125+ 17 \times 21 - 18}}\\\\\quad{\sf{ = 1148 - 1.125+ 357 - 18}}\\\\\quad{\sf{ = (1148+ 357) - (1.125 + 18)}}\\\\\quad{\sf{ = (1505) - (19.125)}}\\\\\quad{\sf{ = 1505- 19.125}}\\\\\quad{\sf{ = 1485.875}}\end{gathered}[/tex]
Hence, the answer is 1485.875.
[tex]\rule{300}{2.5}[/tex]
Graph x <3
Please help me
Answer:
Step-by-step explanation:
please answer thisss
Answer:
ask assistance from someone close to you,it's a practical question.
One triangle weighs how much
Answer:
13
Step-by-step explanation:
Parallelogram ABCD has vertex coordinates A(0, 1), B(1,3), (4,3), and D(3,1). It is translated 1 unit to the right and 3 units down and then rotated 180°clockwise around the origin. What are the coordinates of A?
Answer:
A'(-1, 2)
Step-by-step explanation:
Translation 1 right and 3 down is accomplished by the transformation ...
(x, y) ⇒ (x +1, y -3)
Rotation 180° is accomplished by ...
(x, y) ⇒ (-x, -y)
Then the composition of transformations gives ...
(x, y) ⇒ (-x -1, -y+3)
The transformed coordinates of A(0, 1) are ...
A(0, 1) ⇒ A'(-0 -1, -1 +3) = A'(-1, 2)
please i need help asap
Answer: d. Shift units up
Step-by-step explanation:
f(x) = 3^x + 2 means that it must go up by two units.
For f(x)=−2x+4, find f(x) when x=−3.
given the line y=-2x - 1 and the point (4,4) find the equation of the line perpendicular to the given line. PLEASE! Helppp
Answer:
(-6,-5)
Step-by-step explanation:
y2-y1
x2-x1
subtract then you get the answer
is y in y + 2z + 45 + 5x a constant?
Answer:
See below
Step-by-step explanation:
No, a constant is a number without a variable ( variables are represented with a letter )
y is a variable as it is a letter.
The constant in y + 2z + 45 + 5x would be 45 as it has no variable.
my Christmas present to you
Answer:
yay thx
Step-by-step explanation:
merry xmas
Evaluate the expression shown below and write your answer as a mixed number in simplest form.
Answer:
-5 13/25
Step-by-step explanation:
This is what my calculator got me
What is the slope and y-Intercept of the equation 3(y – 2) + 6(x + 1) - 2 = 0?
A. Slope = -2, y-intercept = 2/3
B Slope = 2, y-intercept =2/3
C Slope = -2, y intercept = -2/3
D Slope = 2, y intercept= -2/3
E Slope = -2, y intercept = 3/2
Answer:
A. Slope = -2, y-intercept = 2/3Step-by-step explanation:
Convert the given equation into slope-intercept form:
3(y - 2) + 6(x + 1) - 2 = 03y - 6 + 6x + 6 - 2 = 03y + 6x - 2 = 03y = - 6x + 2y = - 2x + 2/3The slope is -2, the y-intercept is 2/3
Correct choice is A
⇒ 3(y - 2) + 6(x + 1) - 2 = 0
⇒ 3y - 6 + 6x + 6 - 2 = 0
⇒ 3y = -6x + 2
⇒ y = (-6x + 2)/3
⇒ y = -2x + ⅔
FINAL ANSWER :Slope = -2
Y - intercept = +⅔
Answer :Option (a) is the correct answer .
The next term in the geometric sequence -1, -2, -4 __ is -6.
True or False
Answer:
False
Step-by-step explanation:
It is multiplied by 2 so the next answer would be -8 not -6 hope this helps!:)
4/9 7/21 change to percent
Answer:
Hi there, your answers here are 44% and 33%.
To convert 4/9 to a percent, first we can write it as a decimal - 0.44444444444. To get this decimal, we divide 4 by 9. Then, we multiply this decimal by 100 to get 44.4444444444, or roughly 44%.
To convert 7/21 to a percent, first we can write it as a decimal - 0.33333333333. To get this decimal, we divide 7 by 21. Then, we multiply this decimal by 100 to get 33.3333333333, or roughly 33%.
Plzzzz help meeeee plzzzzzzzz
Answer:
$0.70
Step-by-step explanation:
70cents is the same as 70/100. so, this would be 0.70.
Hope this helps!
PLS ANSWER
AND I WILL MARK AS BRAINLIST
Answer:
72
Step-by-step explanation:
Use PEMDAS to complete this equation properly. 3^2 = 9, 2^3 = 8. 9*8= 72..
Brainliest would be appreaciated! :-)
Guy and Jim work at a furniture store. Guy is paid $185 per week plus 3% of his total sales in dollars, X, which can be represented by g(x) = 185 +0.03x. Jim is paid $275 per week plus 2.5% of his total sales in dollars, x, which can be represented by f(x) = 275 +0.025%. Determine the value of x, in dollars, that will make their weekly pay the same.
Answer:
$18,000.
Step-by-step explanation:
When their weekly pay is the same:
185 + 0.03x = 275 + 0.025x
0.03x - 0.025x = 275 - 185
0.005x = 90
x =90/0.005
x = 18,000
PLEASE HELP.
A group of bacteria has a population of 100,000. The growth rate is 20%. How much bacteria will there be in 10 years? Use the exponential formula.
Answer:
200,000 i don't know apologies if it's wrong
Step-by-step explanation:
100,000*.20*10
200,000*10
200,000
Solve for x please help me ****
Answer:
x =10
Step-by-step explanation:
In a parallelogram, opposite sides are congruent
QT = RS
2x - 10 = x
Add 10 to both sides
2x = x + 10
subtract 'x' from both sides
2x -x = 10
x = 10
Place the fraction 1/2 on the number line.
Answer:
in the middle
Step-by-step explanation:
I did this before
Please answer this ASAP
Solve for y.
30y=20y+60
A: y= -6
B: y= 6
C: y= 1.2
D: y= -1.2
A diver descends 3.2m in 5min. what was his average rate of descent in metres per minute?
Divide distance by time:
3.2 meters / 5 minutes = 0.64
The descent was -0.64 meters per minute
Answer:
.64
Step-by-step explanation:
Whenever you see x per y that means that you're looking at a ratio, which can be expressed as a fraction.
It would look like 3.2/5
The rate of descent may not be consistent, but on average it's reflected by the ratio and so you can just cut 3.2 meters into five equal parts to see, on average, how far the diver descended every minute.
The ratio of boys to girls in a group is 2:1. If there are 26 more boys than girls, work out how many boys there are.
Answer : 52 boys : 26 girls
Step - by - step explanation :
Now we can guess, whatever number we put HAS to be 26 more boys than girls and it has to follow the 2 boys : 1 girl ratio . . .
26 boys : 13 girls <-- this follows the 2:1 ratio but is NOT 26 more boys than girls
52 boys : 26 girls <-- this follows the 2:1 ratio and has 26 more boys than girls ! :D
Divide. Round your answer to the nearest thousandth.
2,891.3030 - 0.728=
Answer:
3971.570
Step-by-step explanation: