Answers
Answer:
y=30
x=60
Step-by-step explanation:
The triangle has all sides equal therefore all the angles are equal.
For all the angles to be equal and add up to 180 (sum of angles in a triangle is 180), each angle has to be 60.
Therefore y=90-60
=30
x=180-(30+90)
=60
Related Questions
Carlos has a box of coins that he uses when playing poker with friends. The box currently contains 46 coins consisting of pennies dimes and quarters. The number of pennies is equal to the number of dimes and the total value is $4.09. How many of each denomination of coin does he have?
Answers
We must write and solve a system of equations to see how many of each type of coin Carlos has.
The answer is:
There are 19 pennies.There are 19 dimes.There are 8 quarters.We start by defining the variables:
x = number of pennies in the box.y = number of dimes in the box.z = number of quarters in the box.We know there are 46 coins in total, thus:
x + y + z= 46
The number of pennies and dimes is the same, thus:
x = y
The total value of the coins in the box is $4.09, then:
x*$0.01 + y*$0.10 + z*$0.25 = $4.09
So we can write the system of equations:
x + y + z= 46
x = y
x*$0.01 + y*$0.10 + z*$0.25 = $4.09
First, we can replace x by y in the first and third equations (by using the second one) to get:
2y + z = 46
y*$0.11 + z*$0.25 = $4.09
Now we can isolate z in the first equation to get:
z = 46 - 2y
And replace that in the other equation:
y*$0.11 + (46 - 2y)*$0.25 = $4.09
Now we can solve the equation for y:
y*$0.11 + (46 - 2y)*$0.25 = $4.09
y*$0.11 + $11.50 - y*$0.50 = $4.09
y*($0.11 - $0.50) = $4.09 - $11.50
y*(-$0.39) = -$7.41
y = (-$7.41)/(-$0.39) = 19
if y = 19, then x = 19
By using the first equation:
x + y + z = 46
19 + 19 + z = 46
z = 46 - 19 - 19 = 8
We can conclude that:
There are 19 pennies.There are 19 dimes.There are 8 quarters.If you want to learn more about systems of equations, you can read:
https://brainly.com/question/13997560
I just need someone to explain this to me.
Answers
Answer:
23.6
Step-by-step explanation:
Answer:
23.6 is the correct answer
Rewrite each of the following expressions without using absolute value.
a) |a| if a>0
b) |2b| if b<0
c) |c| if c <0
d) |3c| if c≥0
Answers
Answer:
a) answer is "a"
b) answer is "-2b"
c) answer is "-c"
d) answer is "3c"
Step-by-step explanation:
Absolute value is positive value of something.
a>0 then a must be positive so absolute value means nothing if a is already positive. Therefore answer is a.
b<0, so b must be negative. absolute value makes 2b positive but you know b is negative so answer is -2b.
c<0 same as a except sign is flipped so answer is negative instead of positive.
c>=0, C is either 0 or positive so absolute value does nothing yet again so answer is just 3c.
Sorry is explanation wasn't through i'm only in middle school
a. | a | > 0, a is greater than and less than zero.
b. | 2b | if b < 0, b is not less than zero not greater than zero.
c. | c | if c < 0, c is not less than zero not greater than zero.
d. | 3c | if c ≥ 0, c is greater than zero and less than zero.
What is an absolute value function?We know the absolute value function of the modulus function always outputs a positive value irrespective of the sign of the input.
In piecewise terms | x | = x for x ≥ 0 and | x | = - x for x < 0.
Given,
| a | > 0
∴ a is greater than and less than zero.
| 2b | if b < 0
b is not less than zero not greater than zero.
| c | if c < 0
c is not less than zero not greater than zero.
| 3c | if c ≥ 0.
c is greater than zero and less than zero.
learn more about modulus functions here :
https://brainly.com/question/13103168
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how many significant figures are in the number 0.3368?
Answers
Answer:
4 significant figures are in the number 0.3368
At camp, Miriam uses a pottery wheel to make 3 bowls in 2 hours
Duane makes 5 bowls in 3 hours.
a) Who makes bowls faster, Miriam or Duane?
b) How long will it take Miriam to make a set of 12 bowls?
c) How long will it take Duane to make a set of 12 bowls?
Answers
Answer:
Hope this helps
Step-by-step explanation:
A: Duane makes bowls faster.
B) 18 hours
C) About 19.92 hours
can someone please help
Answers
E, C, F are the answers.
Work out the equation of
the line that goes through
(3, 2) and (-1, 10)
Answers
Answer:
[tex]The\,\,equation\,\,will\,\,be\,\,2x+y=8[/tex]
Step-by-step explanation:
Let, A=(3,2)
B=(-1,10)
So, The equation will be
[tex]\frac{x-x_{1} }{x_{1} -x_{2} } =\frac{y-y_{1} }{y_{1} -y_{2} } \\=>\frac{x-3 }{3-(-1) } =\frac{y-2 }{2-10} \\=>\frac{x-3 }{4} =\frac{y-2 }{-8}\\=>-8x+24=4y-8\\=>8x+4y=32\\=>2x+y=8[/tex]
Hope you have understood this.....
ask me if you have any confusion.....
if you liked it pls mark it as the brainliest
Answer:
y = - 2x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 2 ) and (x₂, y₂ ) = (- 1, 10 )
m = [tex]\frac{10-2}{-1-3}[/tex] = [tex]\frac{8}{-4}[/tex] = - 2 , then
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (3, 2 )
2 = - 6 + c ⇒ c = 2 + 6 = 8
y = - 2x + 8 ← equation of line
I don’t know how to do this…
Answers
Step-by-step explanation:
f^-1 means the inverse function that finds the x responsible for the creation of a given y (functional result) value.
y = 3x - 1
3x = y + 1
x = 1/3(y + 1)
and now we rename x to y and y to x, so that we get a normal function definition :
y = 1/3(x + 1) = (1/3)x + 1/3
now we create the first derivative d/dx of this function :
y' = 1/3
since both f(x) and f^‐1(x) are line functions with a constant slope, it is not surprising that the first derivative (the function of the slope of the base function) is a constant function.
so, for any value of x (incl. the requested x = 11) d/dx f^-1(x) = 1/3.
therefore also d/dx f^-1(11) = 1/3.
y = 2×sqrt(x)
sqrt(x) = y/2
x = y²/4
again we rename the variables, so that we get a normal function definition for the inverse function :
y = x²/4
the first derivative is :
y' = 2x/4 = x/2
so, d/dx f^-1(6) = 6/2 = 3
Use the inverse function theorem: if f(x) is continuously differentiable at x = a, and given f(a) = b, then f is invertible around x = a, and
[tex]\left(f^{-1}\right)'(b) = \dfrac1{f'(a)}[/tex]
Both the given functions f(x) meet the conditions above. Note that you don't need to actually compute the inverse function itself.
If f(x) = 3x - 1, then f(x) = 11 when
3x - 1 = 11 ⇒ 3x = 12 ⇒ x = 4
Now if f(4) = 11, it follows from the inverse function theorem that
[tex]\left(f^{-1}\right)'(11) = \dfrac1{f'(4)} = \boxed{\dfrac13}[/tex]
since f'(x) = 3.
If f(x) = 2√x, then f(x) = 6 when
2√x = 6 ⇒ √x = 3 ⇒ x = ±9
But note that f(x) is defined only for x ≥ 0, so we must take x = 9. Now if f(9) = 6, the inverse function theorem says
[tex]\left(f^{-1}\right)'(6) = \dfrac1{f'(9)} = \dfrac1{\frac1{\sqrt9}} = \boxed{3}[/tex]
since f'(x) = 1/√x.
Definition: An event that is made up of two or more outcomes is called
Example: Rolling a 5 on a die and flipping heads on a coin.
Answers
what is 90 plus 60 plus 7x-12
Answers
[tex]90+60+ 7x -12 = 7x+138[/tex]
an item is regularly priced at $20. It is on sale for 70% off the regular price. What is the sale price?
Answers
Answer:
6 dollars
Step-by-step explanation:
Hope this helps. :))
Translate the sentence into an Inequality.
The sum of 6 and x is less than or equal to - 20.
Answers
The sum of 6 and x is less than or equal to - 20.
Answer: (6+x) ≤ -20
Chance has hired a construction crew to renovate his kitchen. They charge $3.57 per square foot for materials and $122.22 per day
of labor. Chance spent $3,411.87 on the renovation. If the number of square feet is 251 more than the number of days it took for the
renovation, how long did the renovation take?
Answers
A taxi service charges an initial fee plus $1.80
per mile. How far can you travel for $12
?
What information do you need in order to be able to solve the problem?
Answers
Answer:
You would need the intial fee in dollars/cents
Expression:
c=initial fee
x=amount of miles
[tex]1.80x+c=12[/tex]
Step-by-step explanation:
You would need the intial fee in dollars/cents
Expression:
c=initial fee
x=amount of miles
[tex]1.80x+c=12[/tex]
If C = C(q) is a firm's total cost function, the quantity epsilon_{c} = q/C * (dC)/(dq) is called the elasticity of cost at the output q . Discuss the relationship between marginal cost and average cost for the intervals of being higher and lower than 1 (15 points). epsilon_{c}
Answers
Answer:
the answer is 5,746 = c
Step-by-step explanation:
Josh works in a balloon store he will put 45 balloons into bunches he must use the same number of balloons in each bunch the number of balloons in each bunch must be greater than one and less than 10 how many balloons could be in each bunch what I wrote was 357 balloons is that wrong or right?
Answers
Answer: 5 or 9
Find the factors of the number 45.
1, 5, 9, 15
The numbers must be greater than 1 and less than 10.
Now, we must take 5 and 9.
5 x 9 = 45
9 x 5 = 45
The answers are 5 & 9.
Step-by-step explanation:
Help please anyone!!!!!!
Answers
Answer:
[tex]\huge\boxed{D)\frac{3p}{p-3} }[/tex]
Step-by-step explanation:
The first thing that can help you here is factoring every term.
[tex]p^2-4p-12[/tex]
Factor.
[tex](p-6)(p+2)[/tex]
[tex]6p+12[/tex]
Factor.
[tex]6(p+2)[/tex]
18p
Factor, keeping in mind the denominator of the other term.
[tex]6(3p)[/tex]
[tex]p^2-9p+18[/tex]
Factor.
[tex](p-6)(p-3)[/tex]
Now you have simplified your original problem:
[tex]\frac{p^2-4p-12}{6p+12} *\frac{18p}{p^2-9p+18}[/tex]
into:
[tex]\frac{(p-6)(p+2)}{6(p+2)} *\frac{6(3p)}{(p-6)(p-3)}[/tex]
Now, after multiplying the numerator and denominator of the fractions:
[tex]\frac{(p-6)(p+2)(6)(3p)}{(6)(p+2)(p-6)(p-3)}[/tex]
Then, you can simplify the fraction by cancelling terms:
[tex]\frac{3p}{p-3}[/tex]
Hope it helps :) and let me know if you want me to elaborate.
Surds[tex]5\sqrt[3]{24}-\sqrt[3]{192}[/tex]
Answers
Answer:
6∛3
Step-by-step explanation:
[tex]\displaystyle 5\sqrt[3]{24}-\sqrt[3]{192}=5\sqrt[3]{2^3\cdot3}-\sqrt[3]{4^3\cdot3}\\\\=(5\cdot2-4)\sqrt[3]{3}=\boxed{6\sqrt[3]{3}}[/tex]
_____
The cubes under each radical can be brought out. Coefficients of like radicals can be combined.
what are the values of each variable
Answers
Answer:
x=14
Step-by-step explanation:
2x+4=3x-10
Add 10 to both sides, leaving you with
2x+14=3x
Subtract 2x from both sides, leaving you with
x=14
2x+4=3x-10
4=x-10
14=x
Calculate the missing terms in each proportion.
◼:11 = 11:121
5:2:1 = ◼:14:◼
1.5:◼:2.4 = 6:5:◼
Please Help me!
Answers
Answer:
1:11=11:121
5:2:1=35:14:7
1.5:1.25:2.4=6:5:9.6
Step-by-step explanation:
x/11=11/121 so x equals 1
5/2=x/14 so x equals 35
1.5/x=6/5 so x equals 1.25
1.25:2.4=5/x so x equals 9.6
if a +b = 100, then the value of 3 (a+b) is:
Answers
Given info:- If a +b = 100, then the value of 3 (a+b) is:
Solution:-
a + b = 100
Therefore, 3(a+b)
= 3(100)
= 300.Ans
Read more:
Similar Questions
Find the value of a*b* if n = 3, a = 100, and b=1/4..
https://brainly.com/question/15990855?referrer
Is y= - 4x + 1 proportional
Answers
Answer:
Proportional quantities can be described by the equation y = kx, where k is a constant ratio. You can tell that the relationship is directly proportional by looking at the graph. So yes it does equal a proportional relationship.
Hope this helps :)
Answer:
Proportional quantities can be described by the equation y = kx, where k is a constant ratio. You can tell that the relationship is directly proportional by looking at the graph. So yes it does equal a proportional relationship.
Step-by-step explanation:
Yw
-5+5(x-7)=-40+5x solve for x
Answers
Answer: all real numbers
Step-by-step explanation:
evaluate 1000 x 1.2
help asap!!
Answers
Answer:
1200
hello i love to help
I’ll give brainliest and thanks and 5 stars
Solve for c and d.
Answers
Answer:
c = 58, d = 50
Step-by-step explanation:
c = 180 - 50 - 72 = 58
d = 180 - 72 - 58 = 50
Answer:
C = 58
D = 50
Step-by-step explanation:
C is 58 as all angles on a straight line add up to 180 degrees
D is 50 as all angles within a triangle add up to 180 degrees
(72+58 = 130, 180-130 = 50)
Rewrite the proportion 7:21 = 3:9 as a proportion using fractions.
Answers
Answer:
7/21=3/9
Step-by-step explanation:
7/21=3/9=1/3 - Ratios are basically the same as fractions
Answer:
[tex] \\ 7 \ratio21 = 3 \ratio9[/tex]
[tex] \\ \frac{7}{21} = \frac{3}{9} [/tex]
which is bigger 11/18 or 5/14
Answers
Among the fractions given in this question 11/18 and 5/14, the largest fraction is: 3/5.
Step-by-step explanation:To find out which fraction is the largest, just divide the numerator by the denominator of the ratio and make the comparisons between them, thus defining which is the largest by decimal places or the largest number.
Resolution:[tex]\large \sf \dfrac{11}{18} \rightarrow 11\div18\rightarrow 0{,}61111111111[/tex]
[tex]\large \sf \dfrac{5}{14} \rightarrow 5\div14\rightarrow 0{,}35714285714[/tex]
Conclusion:We can conclude that the largest fraction, being between 11/18 and 5/14, is 11/18.
BRAINLIEST TO WHOEVER CAN ANSWER!!!!!
Students at Taft Middle School have a goal of collecting 1,000 pounds of recycling materials each month. The following table shows their results over a 6 month time period. Complete the table.
Answers
Answer:
February: +10
March: -5
April: +50
May: -25
June: -20
Step-by-step explanation:
Subtract each value in column 2 by 1000. A positive number means exceeding the monthly goal of 1000 pounds, a negative number means not achieving the goal.
Write 63 as the product of prime factors
HOW AM I WRONG???
Answers
Answer:
Since, the prime factors of 63 are 3, 7. Therefore, the product of prime factors = 3 × 7 = 21.
Step-by-step explanation:
Answer:
3x3x7
Step-by-step explanation:
Dw worry ur not wrong but mathswatch sometimes doesnt want you to simplify it and want you to write it all out :P
Hope this helps! :)
hi! can someone please help me with these i’m confused on how to answer it
Answers
Answer:
Step-by-step explanation: