Answer:
[tex]x = 11[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
Find x
The theorem that applies to this question is the theorem of external angles. And it translates to:
[tex]11x +2 = 58 + 5x + 10[/tex]
Collect Like Terms
[tex]11x -5x = 58 + 10-2[/tex]
[tex]11x -5x = 66[/tex]
[tex]6x = 66[/tex]
Divide through by 6
[tex]\frac{6x}{6} = \frac{66}{6}[/tex]
[tex]x = \frac{66}{6}[/tex]
[tex]x = 11[/tex]
what is 89999999+ 3099999999999=??????
3.100089999. This is is the answer
Answer:
3,100,089,999,998
Step-by-step explanation:
Hope this helped
A container has 5 green, 4 yelow and 2 whhite marbles. Carla chooses a marble without looking. Is it the probability that she will select a green marble closest to 0, 1/2 or 1? What is P (white)
Step-by-step explanation:
A container has 5 green, 4 yellow and 2 white marbles.
We need to find the probability of selecting a green marble.
The probability of getting an event is given by :
P(E) = favorable outcomes/no. of outcomes
The probability of getting green marble will be :
[tex]P(G) = \dfrac{5}{5+4+2}\\\\=\dfrac{5}{11}[/tex]
The probability of getting white marble will be :
[tex]P(W) = \dfrac{2}{5+4+2}\\\\=\dfrac{2}{11}[/tex]
Hence, this is the required solution.
#9 Can anyone please help me, this is Pythagoras Theorem Converse.
Answer:
(D).
Step-by-step explanation:
[tex]A_{b}[/tex] = A + [tex]A_{s}[/tex]
(A). 12 + 16 > 20
(B). 10 + 18 < 30
(C). 4 + 5 < 12
(D). 8 + 16 = 24
• Mrs. Alvarez rents skis and poles for 3 days.
What is the total cost of the rental?
• The total cost of the rental is $
The value that Mrs. Alvarez will pay depends on the rental value of the ski and the poles per day, for example $144.
How to calculate the total loan cost of Ski equipment?To know the total cost of the loan of the Ski equipment, we must know the loan price per day or per hour.
For example, suppose the loan price per hour is $2, then we would have to calculate how much one day is equivalent to and then multiply it by the total number of days.
$2 x 24 = $48
$48 x 3 = $144
Note: This question is incomplete because some information is missing. However I can answer it based on my general prior knowledge.
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A bag contains 6 red, 8 black and 10 yellow identical beads, 2 beads are picked at random one after the other.find the probability that ;
a). With replacement
i). Both are red
ii). One is black and the other yellow
b). Without replacement
i). Both are red
ii). One is black and the other yellow
Answer:
a)i)1/16
ii)5/36
b)i)5/96
ii)20/69
Step-by-step explanation:
a) i) 6/24 =1/4
1/4*1/4=1/16
a)ii)8/24=1/3 10/24=5/12
1/3*5/12=5/36
b)i) 5/24*1/4=5/96
ii) 1/3*10/23=10/69
5/12*8/23=40/276=20/138=10/69
10/69+10/69=20/69
The probabilities are; 1/16, 5/36, 5/96 and 20/69
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
Given that, A bag contains 6 red, 8 black and 10 yellow identical beads, 2 beads are picked at random one after the other.
a) With replacement:
i) The probability that both will be red =
6/24 =1/4
1/4x1/4=1/16
ii) The probability of getting one black and a yellow =
8/24=1/3 10/24=5/12
1/3x5/12=5/36
b) Without replacement;
i) The probability of getting both red =
5/24x1/4 = 5/96
ii) The probability of getting one black and a yellow =
1/3x10/23 = 10/69
5/12x8/23 = 40/276 = 20/138 = 10/69
10/69+10/69 = 20/69
Hence, The probabilities are; 1/16, 5/36, 5/96 and 20/69
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Line p intersects line a and b. a b. By which theorem is a1 ≈ a8
PLEASE HELP!!
Answer:
option a
Step-by-step explanation:
alternate exterior angle theorem
PLSSS HELP MEEEEEEEEE
Answer:
Ryan's raft
Step-by-step explanation:
Ryan's raft has greater rate of change
You have a 12 inch ruler being used as a miniature seesaw. A pencil is placed under the 4 inch mark. A weight is placed at the 2 inch mark that balances the seesaw. Now the uneven seesaw is balanced. if you then placed a pencil at the 12 inch end, how many similar pencils approximately will you need to place at the other 1 inch end to get a balance again?
Answer:
The number of pencils that needs to be placed at the other 1 inch end to get a balance again is approximately 3 pencils
Step-by-step explanation:
The given parameters are;
The length of the ruler used as a seesaw = 12 inch
The location where the pencil is placed = Under the 4 inch mark
The location where the weight is placed to balance the seesaw = The 2 inch mark
Therefore, the pencil at the 4 inch mark is fulcrum
The location where a pencil is placed on the ruler = The 12 inch end
The number of pencils, x, that needs to be placed at the other 1 inch end to get a balance again is given as follows;
The distance of the pencil at the 12 inch end from the fulcrum = 12 inches - 4 inches = 8 inches
The distance of the pencils placed at the 1 inch end from the fulcrum = 4 inches - 1 inch = 3 inches
Therefore at balance point, (equilibrium) the anticlockwise moment = The clockwise moment, which gives;
The mass of 1 pencil × 8 inches = x × The mass of 1 pencil × 3 inches
x = (The mass of 1 pencil × 8 inches)/(3 inches × The mass of x × 1 pencil)
x = 8/3 = 2.[tex]\overline 6[/tex] ≈ 3 pencils
The number of pencils that needs to be placed at the other 1 inch end to get a balance again = x ≈ 3 pencils.
Find the perimeter of the following shapes 9cm and 4.1?
Answer: a) 26.2 cm
Step-by-step explanation:
Perimeter of rectangle = 2 (l + w)
2 (l + w) = 2 (9 + 4.1) = 2 (13.1) = 26.2 cm
Hope this helps!
The function f(x)= -x is shown on the graph.
Which statement is correct?
SI
4
The range of the graph is all real numbers less than
or equal to 0.
The domain of the graph is all real numbers less
than or equal to 0.
The domain and range of the graph are the same.
The range of the graph is all real numbers.
→
-5 4 -3 -2 -11
2
3
4
5
х
-2-
134
-4
Answer:
answer would be:
The range of the graph is all real number.
AND
The domain and range of the graph are the same.
Step-by-step explanation:
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
3x+14
Step-by-step explanation:
2(3x+4) -3(x-2)
6x+8 -3(x-2)
6x+8 -3(x-2)
6x+8 -3x+6
6x+8-3x+6
6x+ 14 -3x
6x +14 -3x
3x +14
(23 – 136) - 45 + 32 +8
What the answer
Answer:
-118
Step-by-step explanation:
Find the area of a circle with radius 4ft.
Answer:
A=50.27
Step-by-step explanation:
find the measure of the missing angles
Answer:
b=80
c=80
Step-by-step explanation:
the angle opposite to the 100 degree angle is congruent to it
same goes for b and c
so far we have 2 angles that measure 100 degrees 100+100=200
the sum of the 4 angles is 360
360-200=160
160/2=80=b=c
A recipe says to use 3 cups of flour to make 24 muffins what is the constant of proportionality that relates the number of muffins made why to the number of cups of flour used X? HELP PLEASE!
Answer:
8
Step-by-step explanation:
24 divided by 3 =8
bet you cant answer this lol
s1 = 20, s1 = 15, s1 = 9, and s1 = 6
Answer:
50
Step-by-step explanation:
If shelly rans 3 miles each week and cam runs 8 times mora than shelly. HOW MANY miles does cam run in 3 weeks?
4+6x=-3+7x
please helppp it’s due tmr
Answer:
x is equal to seven.
Step-by-step explanation:
To solve this you can move like terms to each side, then divide both sides by the coefficient of x:
4 + 6x = -3 + 7x
6x -7x = -3 - 4
-x = -7
x = 7
Plzzzzzz help meeeeeee
Answer:
-10
Step-by-step explanation:
hope it helps
Answer:
blue point value is -10
Step-by-step explanation:
First lets find the difference between each point on the line,
The gap between 10 and 2 has 2 points
So 10 - 2 = 8 is the difference in value between point A(10) and point C(2), but we need to find difference between each point,
So 8/2 = 4 is the difference between each point from top to bottom.
There is 3 points after 2 to reach blue,
So 4 x 3 = 12, is the difference in value between point C(2) and point blue,
So, subtracting 12 from 2 will get us the value of blue, 2 - 12 = -10
Therefore the value of blue point is -10
Happy to help :)
Solve the system of linear equations. Y=-1/6x+5 and x+6y=30 Can you explain the steps?
Answer:
Infinitely many solutions
Step-by-step explanation:
y = -1/6x + 5
x + 6y = 30
We can solve this system by using substitution or elimination. Since we are given an isolated y-value, I'll be using the substitution method.
Substitute y = -1/6x + 5 into the second equation for y.
x + 6(-1/6x + 5) = 30Distribute 6 inside the parentheses.
x - x + 30 = 30Combine like terms.
30 = 30Since this is a true statement, we can conclude that this system has a solution of all real numbers, or infinitely many solutions.
We can also see that these equations are indeed equivalent by multiplying the top equation by 6.
6 * (y = -1/6x + 5) → 6y = -x + 30
Adding x to both sides and rearranging terms gives us x + 6y = 30, which is the same as the second equation.
help me, please math
Answer:
i think its c
Step-by-step explanation:
During the morning commute 60 cars and 12 trucks passed through the intersection. What is the ratio of cars to trucks?
Answer: 60:12, 60/12, or 60 to 12.
Step-by-step explanation:
To find the ratio, we must find 2 values. The values in this case is 60 and 12. 60 being cars and 12 being trucks.
So to write the ratio, we must put the cars first, then the trucks second.
So 60 first, and 12 second.
And remember, there are 3 ways to write ratios.
So we can write it like 60:12, 60/12, or 60 to 12.
The answers are 60:12, 60/12, or 60 to 12.
Write the repeating decimal $0.\overline{51}$ as a fully simplified fraction.
Answer:
17/33
Step-by-step explanation:
The repeating decimal [tex]$0.\overline{51}$[/tex] is equal to [tex]$\boxed{\frac{17}{33}}$[/tex].
What is a fraction?A fraction is a component of a whole. Mathematically, the number is expressed as a quotient, where the numerator and denominator are divided. In a simple fraction, both are integers. In a complex fraction, a fraction can be found in either the numerator or the denominator. A suitable fraction has a numerator that is smaller than its denominator.
Let [tex]$x = 0.\overline{51}$[/tex]. Multiplying both sides of this equation by 100 gives,
[tex]$100x = 51.\overline{51}\\[/tex]. Subtracting the first equation from the second equation eliminates the repeating decimal,
giving:
[tex]\begin1100x - x &= 51.\overline{51} - 0.\overline{51}\\ \99x &= 51 \\\ \\end[/tex]
x = 51/99
Therefore, the repeating decimal [tex]$0.\overline{51}$[/tex] is equal to [tex]$\boxed{\frac{17}{33}}$[/tex].
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please help as soon as possible
Step-by-step explanation:
HERE,
angle A=x+5
angle B=3x
angle C=x
we know that,
sum of three angle of a triangle =180°
According to the question,
[tex]\tt{ x+5+3x+x=180 }[/tex]
[tex]\tt{5x+5=180 }[/tex]
[tex]\tt{ 5x=180-5 }[/tex]
[tex]\tt{5x=175 }[/tex]
[tex]\tt{ x=\dfrac{175}{5} }[/tex]
[tex]\tt{x=35 }[/tex]
So,
[tex]\bold{\angle{B}=3x=3×35=105° }[/tex]
solve question 20 (a) and (b)
Answer:
You first have to read on the coordinates where the curve and the straight line meet or cuts across
a.) 53
b.) 13
which integer is √45 closest to
Answer:
√45 lies between 6 and 7 .
Step-by-step explanation:
We know that. √36=6. And. √49=7. It makes sense that √36<√45<√49 therefore 6<√45<7 .
4. If x=2, which equation is true?
A. 3(8-X)=18
B. 3(9-x)=30
C. 2(x-8)=24
D. 4x-8=20
Answer:
option a.
Step-by-step explanation:
3(8-x)=18
3(8-2)
3×6=18
so the RHS and LHS are equal
5
True or False:
a = 6 is a solution to the inequality a > 6
----
A) True
B
False
Answer:
False.
Step-by-step explanation:
If we substitute a for 6, the inequality would become 6 > 6. That is not true because 6 cannot be greater than itself.
19. (9x - 4)(x-6)
21. (-5x + 6)(x + 5)
23. (x2 - 8)(x + 4)
25. (x2 + 10x)(x - 3)
Help please!!
2.) Put these decimals in order from least to greatest:
2.03, 2.30, 32, 302, .032
NEWPA
This is least to greatest. ζόμπα
Answer:
.032 .302 .32 2.03 2.30
Step-by-step explanation: