Answers
Use substitution to go from
Angle T = Angle R
to
3x+36 = 6x-9
Now let's solve for x
3x+36 = 6x-9
3x+36-3x = 6x-9-3x
36 = 3x-9
36+9 = 3x-9+9
45 = 3x
3x = 45
3x/3 = 45/3
x = 15
Since x = 15, we can say,
Angle T = 3x+36
Angle T = 3*x+36
Angle T = 3*15+36 ... x is replaced with 15 (since x = 15; found above)
Angle T = 45+36
Angle T = 81
The final answer is 81 degrees
Related Questions
Through 3,1 slope -1
Answers
y-1=-x+3
y=-x+4
The endpoints of line segment RS are R(-2,-1), and S (2,3). Find the coordinates of the midpoint of line segment RS.
Answers
= (0,1) Answer
Evaluate the expression. Drag the answer into the box to match the expression. 27⋅((33)−1) 27 3 1 1/9
27
3
1
1/9
Answers
3^3 = 27
27^-1 = 1/27
1/27 x 27 = 1
I took this test and got this question right.
Answer:
Step-by-step explanation:
answer is 1
A fair coin is tossed 10 times. what is the probability of (a) five heads; (b) at least five heads?
Answers
Answer:
Are these all of the options to pick from for this question? If so, then your answer would be A.) five heads.
Explanation:
PLATO
__________ will produce an irrational answer when added to , because __________.
Answers
During a storm, why do you see the flash of lightning before you hear the roar of thunder? What would it mean if you saw the flash of lightning and heard the roar of thunder at the same time? What would it mean if there were many seconds in between the flash of lightning and the roar of thunder?
Answers
T/5=miles away when T is time from the strike of lightning to hearing thunder
Final answer:
You see lightning before hearing thunder due to the faster speed of light compared to sound. A simultaneous occurrence suggests the lightning is very close, while a delay indicates distance, with every five seconds equaling approximately one mile.
Explanation:
During a storm, you see the flash of lightning before you hear the roar of thunder because light travels much faster than sound. Lightning, a massive discharge of electricity, heats and expands the air rapidly, creating the sound of thunder. The difference in the travel speeds of light (3 × 10⁸ meters per second) and sound means that we perceive these events at different times.
If you saw the flash of lightning and heard the roar of thunder at the same time, it would mean that the lightning strike occurred very close to your location, practically overhead. Conversely, a noticeable delay between the flash of lightning and the sound of thunder indicates that the lightning strike is farther away. Each 5-second gap between seeing lightning and hearing thunder equates to approximately one mile distance from the lightning strike.
To estimate the distance of a storm, you only need to know the speed of sound, as the speed of light is so fast that the time it takes for light to reach you is negligible for this calculation. This method of estimating distance helps understanding the physical phenomena and ensuring safety during storms.
A repeating pattern of figures that completely covers a plane, without gaps or overlaps, is called a _____ conjecture. transformation. tessellation. composition.
Answers
Answer:A repeating pattern of figures that completely covers a plane, without gaps or overlaps, is called a tessellation.
Step-by-step explanation:
A tessellation of a flat surface is the tiling of a plane using one or more geometric shapes are called tiles, without overlaps or gaps.They can be generalized to higher dimensions and a variety of geometries.Therefore, A repeating pattern of figures that completely covers a plane, without gaps or overlaps, is called a tessellation.
Membership at the Healthy You Gym is a $40 initial fee and $5 a visit. If Snjaya's billl was $105, how many times did he visited the gym?
Answers
-40 -40
5x=65
5x÷5=x
65÷5=13
×=13
13 visits
Solve 5v2+25=115 , where v is a real number
Answers
5v^2 = 115 - 25
5v^2 = 90
v^2 = 90/5
v^2 = 18...take the square root of both sides eliminating the ^2
v = (+-) sqrt 18
v = 4.24 or v = -4.24
The sum of three consecutive even integers is 72. Let x represent the first integer, x + 2 represent the second integer, and x + 4 represent the third integer.
Which equation can be used to find the first integer?
3x + 72 = 2x + 6
2x + 64 = 72
3x = 2x + 6
3x + 6 = 72
Answers
The equation 3 x + 6 = 72 be used to find the first integer.
Option 4 is true.
Here,
The sum of three consecutive even integers is 72.
Let x represent the first integer, x + 2 represent the second integer, and x + 4 represent the third integer.
We have to find equation which can be used to find the first integer.
What is Integers?
An integer is a whole number (not a fractional number) that can be positive, negative, or zero.
Now,
The sum of three consecutive even integers is 72.
So,
x + ( x + 2 ) + ( x+ 4 ) = 72
x + x + 2 + x+ 4 = 72
3x + 6 = 72
Hence, The equation 3 x + 6 = 72 be used to find the first integer.
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when ms. morley was three times as old as jennie, they were seven years younger than they are now. now Ms morkie is twice as old as jennie. how old are they?
Show your work
Answers
A baseball team has home games on thursdaythursday and saturdaysaturday. the two games together earn $4285.004285.00 for the team. thursdaythursday's game generates $295.00295.00 less than saturdaysaturday's game. how much money was taken in at each game?
Answers
1,995+1,995=3,990
3,990+295=4,285.00
What makes an irrational number irrational?
Answers
Answer:
Step-by-step explanation:
Bill can mow his mother's lawn in 45 minutes. his brother jim can mow it in 65 minutes. how long will it take them to do it together, if each has his own lawnmower? (record your answer in minutes rounded to one decimal place.
Answers
1 hour and 50 minutes
Simplify -|-5 + 2|.
a)-7
b)-3
c)3
d)7
Answers
if it would have been | - (-5 + 2) | ur answer would have been 3 because the negative sign fell in ur absolute value bars.
[tex]-|-3|[/tex]
Step 2. Simplify [tex]|-3|[/tex] to [tex]3[/tex]
[tex]-3[/tex]
Done! :)
The gcf of 25 and 12 is 1.number with 1 as the gcf are called relatively prime.find another pair of numbers whose gcf is 1
Answers
The GCF of 25 and 12 is 1, which means they are relatively prime. Another example of a pair of relatively prime numbers is 8 and 15, as their only common divisor is 1.
The greatest common factor (GCF) of 25 and 12 is 1. Numbers that have a GCF of 1 are called relatively prime. Another pair of numbers whose GCF is 1 could be 8 and 15. To verify, we look for any common divisors. The divisors of 8 are 1, 2, 4, and 8 while the divisors of 15 are 1, 3, 5, and 15. The only common divisor is 1, which confirms they are relatively prime.
Evaluate each expression. (1 + 3 + 2) / -2
Answers
1 + 3 + 2 = 6
So the new equation is 6 / -2
Now 6 / -2 is equal to -3.
So your answer is -3.
After working 80 hours at his job, Tyler earned a total of $1100. How much does Tyler earn per hour?
Answers
1100/80=13.75
there ya have it Tyler makes $13.75 per hour
A ball is launched into the sky at 19.6 feet per second from a 58.8 meter tall building. The equation for the ball’s height, h, at time t seconds is h = -4.9t2 + 19.6t + 58.8 . When will the ball strike the ground?
Answers
Is that a typo, or a real mixture of units?
The equation is only good if the launch speed is actually 19.6 m/s, so I'll assume that.
It will strike the ground when the ball's height = 0 m !!!
-4.9t² +19.6t + 58.8 = 0
You can always use the "quadratic formula" if you want to, but ...
This set of numbers is beloved by physics teachers everywhere. Everything divides by -4.9
t² - 4t -12 = 0
...and factorizes easily:
(t + 2)(t - 6)
So t = 6 or t = -2 Disregard the negative solution.
The ball will strike the ground at t = 6 seconds
the sum of 18 and the number of x in algebriac expression
Answers
Leslie needs to roll an 8 with 2 dice to win a game. how many possible outcomes are there for her to win?
Answers
2+6
3+5
3 if im not mistaken
Answer: 5
Step-by-step explanation:
Given : Leslie needs to roll an 8 with 2 dice to win a game.
Number of outcomes , when we roll a die {1 ,2,3,4,5,6} =6
When we roll two dice the total number of outcomes are:
[tex]6\times6=36[/tex]
The possible outcomes when we roll two dice :-
(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)
(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)
(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)
(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)
(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)
(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)
The favorable outcomes to get sum as 8 :-
{(2,6), (6,2), (3,5), (5,3), (4,4)}
Hence, the number of possible outcomes are there for her to win = 5
Find the value of x for which p is parallel to q, if m∠1 = (9x) and m∠3 = 117 .The diagram is not to scale.
a. 108
b. 13
c. 117
d. 126
Answers
m< 1 = m<3 ( corresponding angles) so
9x = 117
x = 117 / 9 = 13
x = 13 Answer
How to get the B by itself
Answers
(a + b + c)/3 x 3 = A x 3
a + b + c = A(3)
a- a + b + c - c = A(3) - a - c
b = A(3) - a - c
hope this helps
( i dont know if the A is suppose to be there or not sorry)
Express 9 - y2 as the product of two binomial factors
Answers
(3-y)(3+y)
[tex]3^2-y^2[/tex]
[tex](3+y)(3-y) [/tex]
Which improper fraction is equal to the mixed number 4 7/9 ?
Answers
4 7/9 = (9*4 + 7)/9 = 43/9. Then
4 7/9 = 43/9
Matt reasoned that he can write 9/1000 as 0.9. Is he correct?
Answers
You're looking at 9/1000, which means you move the (invisible) decimal point after 9 three places to the left (because you're dividing and there are 3 zeros after the 1 in 1000). This would give you 0.009.
P(n) models the fundraiser's profit (in dollars) if n tickets are sold. A negative profit means the expenses exceeded the income from tickets.
P(n) = 70n-1500
what is the price of a single ticket
Answers
profit = revenue - expenses
so the revenue, what is made from selling tickets.....70n....where n represents the number of tickets....the 70 represents the cost of each ticket.
the 1500 is the expenses. So for them to make a profit, they would have to sell more then $ 1500 worth of tickets.
the price of a single ticket is $ 70 <==
The price of a single ticket is given by the expression [tex]\( \frac{70n - 1500}{n} \),[/tex] where n represents the number of tickets sold.
To find the price of a single ticket, we need to understand that the profit P(n) represents the income from ticket sales.
In the given equation [tex]\( P(n) = 70n - 1500 \)[/tex], n represents the number of tickets sold, and P(n) represents the profit from selling n tickets.
If we divide the total profit P(n) by the number of tickets n, we can find the price of a single ticket.
So, the price of a single ticket is given by:
[tex]\[ \text{Price of a single ticket} = \frac{P(n)}{n} \][/tex]
Substituting [tex]\( P(n) = 70n - 1500 \)[/tex], we get:
[tex]\[ \text{Price of a single ticket} = \frac{70n - 1500}{n} \][/tex]
Now, the price of a single ticket is dependent on the number of tickets sold, so we cannot determine a specific price without knowing the value of n. However, we can say that as the number of tickets sold increases, the price per ticket decreases due to the fixed costs (expressed by the constant term -1500) being spread out over a larger number of tickets.
find the values of x and y
Answers
80+(4x-y)=180
4x-y=100
(4x-y) and (x+2y+10) also form a straight angle, but we know that 4x-y=100
100+x+2y+10=180
x+2y+110=180
x+2y=70
Now we have a system of equation
4x-y=100
x+2y=70
Solve the first equation for y
-y=-4x+100
y=4x-100
Substitute y
x+2(4x-100)=70
x+8x-200=70
9x=270
x=30
Now plug in the known x value
30+2y=70
2y=40
y=20
Final answer: x=30, y=20
Answer:
The values of [tex]x=30^{\circ}[/tex] and [tex]y=20^{\circ}[/tex].
Step-by-step explanation:
A Linear pair is a pair of adjacent angles formed when two lines intersect.
In the given figure, [tex]80^{\circ}[/tex] and [tex]4x-y[/tex] , [tex]4x-y[/tex] and [tex]x+2y+10^{\circ}[/tex] form a linear pair.
By linear pairs theorem, we have
[tex]80^{\circ}+4x-y=180^{\circ}[/tex]
[tex]4x-y+x+2y+10^{\circ}=180^{\circ}[/tex]
On solving we get,
[tex]4x-y=100^{\circ}[/tex] ....(1)
[tex]5x+y=170^{\circ}[/tex] .....(2)
Now, to solve equation (1) and (2) by simultaneously; we get [tex]x=30^{\circ}[/tex]
putting the value of x in equation 1 we get,
[tex]4x-y=100^{\circ}[/tex]
[tex]4\cdot 30^{\circ}-y=100^{\circ}[/tex]
[tex]120^{\circ}-y=100^{\circ}[/tex]
On simplify we have, [tex]y=20^{\circ}[/tex]
Therefore, the values of x and y are: [tex]30^{\circ}[/tex] and [tex]20^{\circ}[/tex]
A diver swims 5.875 feet up to the surface of the water. Which number represents the diver’s position in relation to the surface before swimming to the top?
Answers
In relation to the surface, before swimming up, the diver was -5.875 feet under the water. The negative sign implies that the diver was beneath the surface of the water.
Explanation:The diver's position in relation to the surface before swimming to the top is represented by a negative number because swimming upwards implies moving in a positive direction. In this case, the diver was -5.875 feet from the surface before they started swimming up. This negative sign indicates that the diver was beneath the surface of the water.
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whatt are some inportant rules to dividing and multipling positives and negitives.
Answers
3 × 2 = 6
m × n = mn
Positive × Negative = Negative
8 × -4 = -32
m × -n = -mn
Negative × Negative = Positive
-5 × -4 = 20
-m × -n = mn
(-x) × (-x) = x²
The same rules apply for division as multiplication.