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This triangle is an isosceles triangle. Why? Because when we look at a triangle then we see they put the two little slash, it means that it is an isosceles triangle.
How do we find the missing angles?
The rules says that when we have an isosceles triangle, when we add all the angles together, we should find 180 degree.
We have one angle only, which is 40. What two other numbers we can add to 40 to give us 180.
Well, all we have to do is follow the rules.
They say we need to add all the angles together.
40 + x + x = 180
40 + 2x = 180
2x = 180 - 40
2x = 140
x = 140/2
x = 70
The correct answer is 70.
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Justify my work:
40 + 70 + 70 = 180
40 + 140 = 180
180 = 180
I hope this helps!
Related Questions
What is the term for the point where angle bisectors of a triangle meet?
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What is the multiple zero and multiplicity of f(x) = x3 − 8x2 + 16x?
multiple zero = −4; multiplicity = 2
multiple zero = 2; multiplicity = 4
multiple zero = 4; multiplicity = 2
multiple zero = 2; multiplicity = −4
Answers
Answer:
B
Step-by-step explanation:
If you divide x so only x and a number remains, you will get B.
[tex]f(x) = x^{3} - 8x^{2} + 16x[/tex] has multiple zero = 4; multiplicity = 2.
What is multiple zero and multiplicity?" A multiple zero has the multiplicity which represents the number of times linear factor of multiple zero occur in the polynomial .Zero of the polynomial is associated with multiple zero."
According to the question,
Given,
[tex]f(x) = x^{3} - 8x^{2} + 16x[/tex]
Simplify the given polynomial to get the multiple zero and multiplicity,
[tex]f(x) = x^{3} - 4x^{2}- 4x^{2} + 16x[/tex]
[tex]\implies x^{2} (x-4) -4x(x-4)=0\\\\\implies (x^{2} -4x)(x-4) =0\\\\\\\implies (x) (x-4)(x-4)=0\\\\\implies x(x-4)^{2} =0[/tex]
Zero is associated with x =4.
(x-4) occur twice.
Hence, multiple zero = 4 and multiplicity = 2 of the given function.
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Round 103.468 to the nearest liter
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what is the slope-intercept equation of a line that has a slope of -2 and a y-intercept of (0,3)
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-2 represents the constant, or slope, and +3 represents what y equals when x is zero
Hope this helps!
A segment with endpoint a(3,1) and b(-1,1) is rotated 90° about the origin.what are the coordinates of a' and b' ? (geometry 10 a lesson 3 unit 5,if you know the answers to this whole practice pls give them to me pls and tysm)
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As seen, the segment is in quadrant one and two.
For a':
a(3, 1) --> (-3, -1)
For b':
b(-1, 1) --> (1, -1)
As you can see, the coordinate's signs are reversed for each case.
Hope I helped :)
foil (ab - 9)(ab + 8)
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Step 1: (ab-9)(ab+8)
Step 2: ab x ab +8 x ab -9 x ab -9 x 8
Step 3: ab2 +8ab-9ab-72=
Step 4: ab2 -ab-72
solved!!! that how you would solve it everything will continue as normal
a²b² - ab - 72
Evaluate the expression for x = 3 and y = 6.
5(x2 + y) + y2
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Do parenthesis first
5 ( 12 ) + 6 * 2
multiply from left to right
60 + 12
add
72
5(6 + 6) + 6x2
5 x 12 + 6x2
60 + 12
72
If she steals 100 buys 70 worth of stuff owner gives u 30 back how much did owner lose
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What steps would you do to solve n/7 + 3 ≥ -4? Multiply by seven, then subtract three. Add three, then multiply by seven. Subtract three, then multiply by seven. Subtract three, then divide by seven.
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Step 2: Subtract 3 from both sides.17n+3−3≥−4−317n≥−7
Step 3: Multiply both sides by 7.7*(17n)≥(7)*(−7)n≥−49
Answer:n≥−49
A squirrel climbs 15 feet up a tree. He then runs 8.26 feet down the tree. How much further does the squirrel need to go before reaching the ground?
A)7.36 feet
B)7.26 feet
C)6.74 feet
D)8.11 feet
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Answer:
C
Step-by-step explanation:
HELP!! WHAT IS THE VALUE OF X ?
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53 plz help me with this
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3 large beads cost 2.50 * 3 = 7.50
30-7.50 = 22.50
20-7.50 = 12.50
so they can spend between 12.50 and 22.50 on small beads
12.50 / 1.25 = 10
22.50/1.25 = 18
can buy between 10 and 18 small beads
1.25x >=12.50 and 1.25x<=22.50
What property of equality is used to transform equation 1 to equation 2?
Equation 1: 35 = 5x
Equation 2: 7 = x
addition Property of Equality
subtraction Property of Equality
multiplication Property of Equality
division Property of Equality
Answers
Final answer:
The division Property of Equality is used to transform Equation 1 (35 = 5x) into Equation 2 (7 = x) by dividing both sides of the equation by 5.
Explanation:
The property of equality used to transform Equation 1 (35 = 5x) to Equation 2 (7 = x) is the division Property of Equality.
This property states that if you divide both sides of an equation by the same non-zero number, the two sides remain equal. To get from Equation 1 to Equation 2, both sides of Equation 1 are divided by 5.
Division is similar to multiplication in that it follows the same rules for signs and equality. When dividing both sides by the same number, the numerator and denominator cancel out if they are the same, leaving a value of 1.
For instance, dividing 5x by 5 will lead to x, and dividing 35 by 5 will give 7, hence 7 = x, which is Equation 2.
4747% of men consider themselves professional baseball fans. you randomly select 10 men and ask each if he considers himself a professional baseball fan. find the probability that the number who consider themselves baseball fans is (a) exactly five, (b) at least six, and (c) less than four.
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p = 47% = 0.47, the probability that a man considers himself a professional baseball fan.
q = 1 - p = 0.53, the probability that a man does not consider himself a professional baseball fan.
n = 10, the number of men surveyed.
(a) Calculate the probability that exactly 5 of 10 men surveyed consider themselves as professional baseball fans.
P(5 of 10) = ₁₀C₅ p⁵q⁵ = 252*0.47⁵*0.53⁵ = 0.242
Answer: 0.242 or 24.2%
(b) Calculate the probability of at least 6 out of 10.
P(at least 6 of 10)
= ₁₀C₆ p⁶q⁴ + ₁₀C₇ p⁷q³ + ₁₀C₈ p⁸q² + ₁₀C₉ p⁹q + ₁₀C₁₀ p¹⁰ q⁰
= 0.1786 + 0.0905 + 0.0301 + 0.0059 + 0.0
= 0.3057
Answer: 0.3057 or 30.6%
(c) Calculate the probability of less than 4 of 10.
P(less than 4 of 10)
= ₁₀C₁ pq⁹ + ₁₀C₂ p²q⁸ + ₁₀C₃ p³q⁷
= 0.0155 + 0.0619 + 0.1464
= 0.2238
Answer: 0.2238 or 22.4%
The probability of a binomial distribution is given by:
[tex]P(X)=\left(^n_x)p^x(1-p)^{n-x}[/tex]
Part A:
The probability that the number who consider themselves baseball fans is exactly five is given by:
[tex]P(5)=\left(^{10}_{\,5}\right)(0.47)^5(1-0.47)^{10-5} \\ \\ =252(0.022935)(0.041820)=\bold{0.2417}[/tex]
Part B:
The probability that the number who consider themselves baseball fans is at least six is given by:
[tex]P(X\geq6)=P(6)+P(7)+P(8)+P(9)+p(10) \\ \\ =\left(^{10}_{\,6}\right)(0.47)^6(1-0.47)^{10-6}+\left(^{10}_{\,7}\right)(0.47)^7(1-0.47)^{10-7} \\ +\left(^{10}_{\,8}\right)(0.47)^8(1-0.47)^{10-8}+\left(^{10}_{\,9}\right)(0.47)^9(1-0.47)^{10-9} \\ +\left(^{10}_{10}\right)(0.47)^{10}(1-0.47)^{10-10} \\ \\ =210(0.010779)(0.078905)+120(0.005066)(0.148877) \\ +45(0.002381)(0.2809)+10(0.001119)(0.53)+1(0.000526)(1) \\ \\ =0.1786+0.0905+0.0301+0.0059+0.0005=\bold{0.3056}[/tex]
This can be approximated using normal distribution as I will illustrate in part c.
Part C:
The probability that the number who consider themselves baseball fans is less than four is given by:
[tex]P(X\ \textless \ 4)=P(0)+P(1)+P(2)+P(3)[/tex]
We can approximate this using normal distribution by subtracting 0.5 from the least value and adding 0.5 to the greatest value.
This gives [tex]P(0-0.5\ \textless \ X\ \textless \ 3+0.5)=P(-0.5\ \textless \ X\ \textless \ 3.5)[/tex]
The mean of a binomial distribution is given by [tex]\mu=np[/tex], while the standard deviation is given by [tex]\sigma= \sqrt{np(1-p)} [/tex].
Thus,
[tex]\mu=10(0.47)=4.7 \ and \ \sigma=\sqrt{10(0.47)(0.53)}=1.578[/tex]
The probability of a nomal distribution between two values (a, b) is given by:
[tex]P(a\ \textless \ X\ \textless \ b)=P\left( \frac{b-\mu}{\sigma} \right)-P\left( \frac{a-\mu}{\sigma} \right)[/tex]
Thus,
[tex]P(-0.5\ \textless \ X\ \textless \ 3.5)=P\left( \frac{3.5-4.7}{1.578} \right)-P\left( \frac{-0.5-4.7}{1.578} \right) \\ \\ =P(-0.7605)-P(-3.295)=0.2235-0.0005=\bold{0.223}[/tex]
What is the measure of angle 1
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Point m is the midpoint between A (-4,4) and B(-1,-6) find the location of M
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((x1+x2)/2,(y1+y2)/2), where x1=-4, x2=-1, y1=4 and y2=-6
So, we have
M=(-4-1/2,4-(-6)/2)
M=(-5/2, 5)
If you horizontally stretch the quadratic parent function, f(x) = x2, by a factor of 5, what is the equation of the new function?
A. g(x) = (5x)2
B. g(x) = x2
C. g(x) = 5x2
D. g(x) = (x)2
Answers
Answer:
g(x)= (1/5x) ^2
Step-by-step explanation:
Just did the test got a 100.
The function f(x) = x² after stretching horizontally by a factor of 5 will be g(x) = [(1/5)x]² so none of the given option are correct.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
If we streatch a function f(x) horizontally by factor of c then the value of new function g(x) become f(x/c)
By stretching f(x) by 5 it will be
g(x) = f(x/5)
So replace x → x/5
Since,f(x) = x²
So,
g(x) = (x/5)²
Hence "The function f(x) = x² after stretching horizontally by a factor of 5 will be g(x) = [(1/5)x]²".
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solve the following equation by completing the square
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Find the missing angle.
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make sure your calculator is in Degree mode.
but will run you about 36.8698976458° and 53.13010235415598°.
0.5(7d+4)=7−1.5d
solve for d
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Let's solve your equation step-by-step.0.5(7d+4)=7−1.5dStep 1: Simplify both sides of the equation.0.5(7d+4)=7−1.5d(0.5)(7d)+(0.5)(4)=7+−1.5d(Distribute)3.5d+2=7+−1.5d3.5d+2=−1.5d+7Step 2: Add 1.5d to both sides.3.5d+2+1.5d=−1.5d+7+1.5d5d+2=7Step 3: Subtract 2 from both sides.5d+2−2=7−25d=5Step 4: Divide both sides by 5.5d5=55d=1Answer:d=1
How many solutions does the equation have?y+7=y–3many solutions1 solutionno solutions?
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Subtract y on both sides, giving you...
7= -3
Which is false
Helppppp plzz quickkk
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he hiked 4 km east in 45 minutes
45 minutes = 3/4 of an hour
4 /.75 = 5.33
so the answer would be D. 5.3 km per hour east
The number of random samples (without replacement) of size 3 that can be drawn from a population of size 5 is ___
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A square has an area of 121 yd^2 what is the length of each side
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a= 11 inches
The side of the square having an area of 121 yards² is 11 yards
What is the area of a square?
A square is a 4 sided polygon where all the sides are of equal length.
The area of the square is the square of any one of its side
Let a be the side of the square
Area of the square = a²
Given data ,
Let the area of the square be Y = 121 yards²
Now , let the side of the square be = a
And the equation for the area of the square is
Area of the square = a²
where a is the side of the square
So , substituting the values in the equation , we get
a² = 121 yards²
Taking square root on both sides , we get
a = 11 yards
Therefore , the value of a is 11 yards
Hence , The side of the square having an area of 121 yards² is 11 yards
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Determine f(2) where f(x)= x+1/4x-2
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F(2)=3/6
F(2)= 1/2
What is the number to the right of the decimal point called?
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A box with a square base and no top is to be made from a square piece of carboard by cutting 3 in. squares from each corner and folding up the sides. the box is to hold 9075 in3. how big a piece of cardboard is needed?
Answers
Final answer:
To create a box with a volume of 9075 in3, a 61 in. by 61 in. piece of cardboard is needed after cutting out 3 in. squares from each corner and folding up the sides.
Explanation:
To determine the size of the cardboard needed to construct a box with a volume of 9075 in3 when 3 in. squares are cut from each corner and the sides are folded up, we first need to express the volume of the box in terms of the dimensions of the cardboard. Let x represent the length of one side of the original square piece of cardboard. After cutting out 3 in. squares from each corner, the length and width of the base of the box will be x - 6 inches (since 3 inches are removed from each side), and the height will be 3 inches (the size of the squares cut from the corners).
The volume V of the box can be expressed as V = (x - 6)(x - 6)(3). Given that V = 9075 in3, we can set up the equation 9075 = (x - 6)2 × 3. Solving for x will give us the size of the original cardboard piece.
To solve the equation, divide both sides by 3 to isolate (x - 6)2, which gives 3025 = (x - 6)2. Taking the square root of both sides gives x - 6 = 55, so x = 61. Therefore, a 61 in. by 61 in. piece of cardboard is needed to construct the box.
The cost for parking at a parking garage is $2.25 plus an additional $1.50 for each hour. What is the total cost to park for 5 hours?
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The total cost to park for 5 hours is $9.75
the answer is $9.75
I thought this was much more easier for you! :)
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The base of the exponential is 12 which is also the base of the log as well. The only answer choice that has this is choice B.
======================================================================
Problem 2)
log(x) + log(y) - 2log(z)
log(x) + log(y) - log(z^2)
log(x*y) - log(z^2)
log[(x*y)/(z^2)]
Answer is choice D
======================================================================
Problem 3)
log[21/(x^2)]
log(21) - log(x^2)
log(21) - 2*log(x)
This matches with choice B
======================================================================
Problem 4)
Ln(63) = Ln(z) + Ln(7)
Ln(63)-Ln(7) = Ln(z)
Ln(63/7) = Ln(z)
Ln(9) = Ln(z)
z = 9
======================================================================
Problem 5)
Ln(5x-3) = 2
5x-3 = e^2
5x = e^2+3
x = (e^2+3)/5
This means choice A is the answer
△EFG≅△JKL. What is m∠K?
Answers
Answer:
62
Step-by-step explanation: