Answer:
x = 13°
Step-by-step explanation:
m<EGF + m< FGH = m<EGH
or, 3x+6+5x-7 = 103°
or, 8x-1 = 103°
or, 8x = 103°+1°
or, x = 104°/8
or, x = 13°
Now,
m<EGF = 3x+6
= 3×13+6
= 39+6
= 45
m<FGH = 5x-7
= 5×13-7
= 65-7
= 58
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Answer:
omg thanks
Step-by-step explanation:
Answer:
I like yo cut G
Step-by-step explanation:
A bag contains 6 red marbles, 4 black marbles, 10 green marbles, and 2 blue marbles. Marbles are taken at random from the bag, one at a time, and then replaced. Find the probability of drawing a black marble, then drawing a green marble.
A 2/11
B 7/11
c 10/121
d 20/231
Answer:
B
Step-by-step explanation:
First you will add them all up
6+4+10+2=22
Second find the black and green amount and add them together
4+10=14
Thirdly turn this into a fraction
14/22
Lastly simplify
14/11 / 2 = 7/11
Need help with these 2
Answer:
1)(6,4)
11+1=12/2 =6
6+2=8/2=4
F(x) = 2x-(x+6) for f(-3)
After purchasing a home for $160,00 the homeowner noticed the suggested value of her house was depreciating by 5% each year.
What is the decay factor for this situation?
A
0.05
B
0.50
C
0.95
D
1.05
solve (x - 3)^2 = 81 quadratic equation
Answer:
x=12
Step-by-step:
Square root both sides to get
x-3=9
Then take 3 to the other side
x=9+3
x=12
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Which is a correct statement about the description “six less than the quotient of a number cubed and nine, increased by twelve” when n = 3? Check all that apply.
The correct expression is 6 minus StartFraction n cubed Over 9 EndFraction + 12.
The correct expression is StartFraction n cubed Over 9 EndFraction minus 6 + 12.
One of the steps to determining the value when n = 3 is 3 minus 6 + 12.
One of the steps to determining the value when n = 3 is 6 minus 3 + 12.
The value when n = 3 is 7.
The value when n = 3 is 9.
The value when n = 3 is 15.
The value when n = 3 is 17.
Option 2 is correct.The value when n= 3 is 9
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Answer:
The value when n = 3 is 9
Step-by-step explanation:
I ANSWERD FIRST
what is a domain and range
and how do I find it
Answer: Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Solve the equation M^2+4m+9=0.
Fully simplify all answers including non real solutions
Should end up with an answer like M=
Answer:
2 solutions:
1) m =(4-√52)/2=2-√ 13 = -1.606
2) m =(4+√52)/2=2+√ 13 = 5.606
Step-by-step explanation
The first term is, m2 its coefficient is 1 .
The middle term is, -4m its coefficient is -4 .
The last term, "the constant", is -9
Step-1 : Multiply the coefficient of the first term by the constant 1 • -9 = -9
Step-2 : Find two factors of -9 whose sum equals the coefficient of the middle term, which is -4 .
-9 + 1 = -8
-3 + 3 = 0
-1 + 9 = 8
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Equation at the end of step 1:
m2 - 4m - 9 = 0
STEP 2:
Parabola, Finding the Vertex:
2.1 Find the Vertex of y = m2-4m-9
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Am2+Bm+C,the m -coordinate of the vertex is given by -B/(2A) . In our case the m coordinate is 2.0000
Plugging into the parabola formula 2.0000 for m we can calculate the y -coordinate :
y = 1.0 * 2.00 * 2.00 - 4.0 * 2.00 - 9.0
or y = -13.000
Parabola, Graphing Vertex and X-Intercepts :
Root plot for : y = m2-4m-9
Axis of Symmetry (dashed) {m}={ 2.00}
Vertex at {m,y} = { 2.00,-13.00}
m -Intercepts (Roots) :
Root 1 at {m,y} = {-1.61, 0.00}
Root 2 at {m,y} = { 5.61, 0.00}
Add 9 to both side of the equation :
m2-4m = 9
Now the clever bit: Take the coefficient of m , which is 4 , divide by two, giving 2 , and finally square it giving 4
Add 4 to both sides of the equation :
On the right hand side we have :
9 + 4 or, (9/1)+(4/1)
The common denominator of the two fractions is 1 Adding (9/1)+(4/1) gives 13/1
So adding to both sides we finally get :
m2-4m+4 = 13
Adding 4 has completed the left hand side into a perfect square :
m2-4m+4 =
(m-2) • (m-2) =
(m-2)2
Things which are equal to the same thing are also equal to one another. Since
m2-4m+4 = 13 and
m2-4m+4 = (m-2)2
then, according to the law of transitivity,
(m-2)2 = 13
The Square Root Principle says that When two things are equal, their square roots are equal.
Note that the square root of
(m-2)2 is
(m-2)2/2 =
(m-2)1 =
m-2
Now, applying the Square Root Principle to Eq. #2.2.1 we get:
m-2 = √ 13
Add 2 to both sides to obtain:
m = 2 + √ 13
Since a square root has two values, one positive and the other negative
m2 - 4m - 9 = 0
has two solutions:
m = 2 + √ 13
or
m = 2 - √ 13
Solving m2-4m-9 = 0 by the Quadratic Formula .
According to the Quadratic Formula, m , the solution for Am2+Bm+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
m = ————————
2A
In our case, A = 1
B = -4
C = -9
Accordingly, B2 - 4AC =
16 - (-36) =
52
Applying the quadratic formula :
4 ± √ 52
m = —————
2
Can √ 52 be simplified ?
Yes! The prime factorization of 52 is
2•2•13
To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).
√ 52 = √ 2•2•13 =
± 2 • √ 13
√ 13 , rounded to 4 decimal digits, is 3.6056
So now we are looking at:
m = ( 4 ± 2 • 3.606 ) / 2
Two real solutions:
m =(4+√52)/2=2+√ 13 = 5.606
or:
m =(4-√52)/2=2-√ 13 = -1.606
0.052 divided by blank equals 0.052
Answer:
0.002704
Step-by-step explanation:
You just multiply 0.052 by itself
then divide the answer by 0.052
What is the perimeter of the trapezoid?
units.
Answer:
20 unitsStep-by-step explanation:
perimeter of the given trapezoid = 7 + 4 + 4 + 5
= 20 units
(see image below)
Using Newton's Method, what is the formula for determining the nth term in a sequence of approximations to a solution of a polynomial equation
Step-by-step explanation:
in newton rapson method
[tex]x_{n+1}=x_{n}-\frac{f\left(x_{n}\right)}{f^{\prime}\left(x_{n}\right)}[/tex]
Let [tex]n=n-1[/tex]
[tex]x_{(n-1)+1}=x_{n-1}-\frac{f\left(x_{n-1}\right)}{f^{\prime}\left(x_{n-1}\right)}[/tex]
[tex]x_{n}=x_{n-1}-\frac{f\left(x_{n-1}\right)}{f^{\prime}\left(x_{n-1}\right)}[/tex]
A customer buys an item that originally costs x dollars from a retail store and uses a $10.00 off coupon. The store clerk uses the function C(x)=1.06(x−10) to calculate the final cost of the customer’s item.
Answer:
the value of c(30) is 21.2, which represents the customers final cost of $21.20
Step-by-step explanation:
d
HELP HELP HELP
Describe the different ways to determine if lines are parallel by using angle pairs that are formed when the lines are cut by a transversal
Answer:
Alternate Interior Angles
Alternate Exterior Angles
Same side Interior
Same side Exterior
Corresponding
Step-by-step explanation:
please help me asap
Answer:
1. the first one
2. the second one
Step-by-step explanation:
The open circle means that it isn't equal to so x is less than two because of where its headed on the line
The second one is equal to becasue it's filled in. Once again X is less than this number beacause of which way it is going on the graph
i need pointsasdfghjklkjhgfdsasdfgh
Answer:
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Merry Christmas
Happy Holidays
The perimeter of a rectangle is 162 cm. The length of the rectangle is eleven centimeters more than
four times the size of the width. What is the length and width of the rectangle?
let
width = w
length = 4w + 11
2(length) + 2(width) = perimeter
2(4w + 11) + 2(w) = 162
8w + 22 + 2w = 162
10w + 22 = 162
10w = 140
w = 14 cm (WIDTH)
length = 4w + 11
length = 4(14) + 11
length = 56 + 11
LENGTH = 67 cm
The length is 4(14)+ 11 = 67 cm and width is 14 cm.
what is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific values in our day-to-day situations.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Perimeter of rectangle = 162 cm
let the width be x .
then, the length is 4x+ 11
Thus, Perimeter of rectangle= 2(l + w)
162 = 2( 4x + 11 + x)
162 = 2( 5x +11)
81 = 5x+ 11
5x= 70
x= 14
Hence, the length is 4(14)+ 11 = 67 cm and width is 14 cm.
Learn more about algebra here:
https://brainly.com/question/24875240
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I need help with this math problem may someone please help me
Answer:
I got [tex]\frac{-8}{7}[/tex]
Please correct me If I'm wrong
Step-by-step explanation:
[tex]\frac{b-c}{a}[/tex]
[tex]\frac{-3-5}{7}[/tex]
[tex]\frac{-3-5}{7}= \frac{-8}{7}[/tex]
You are buying a coke for yourself and tacos for your friends. You have a limited budget of y dollars. If the coke cost $2.25 and the tacos
$1.25 each, write a linear inequality to help determine how many tacos you can buy.
Oy > 1.25x + 2.25
Oy > 2.25x + 1.25
Oy < 2.252 + 1.25
Oy < 1.250 + 2.25
Answer:
D. Y<1.25x+2.25
Step-by-step explanation:
Solve for g: 19 > 2(g + 7.9).
Answer: g < 1 3/5
Step-by-step explanation:
first, i removed the parentheses.
19 > 2g + 15.8
then, i moved the terms.
-2g > 15.8 - 19
the, i calculated that.
-2g > -3.2
finally, i divided both sides.
g < 1.6
the alternative form is g < 1 3/5
(basically, the second answer)
what is 39.5/4 if you tell me you get 45 points
Answer:
9.875
Step-by-step explanation:
Answer:
9.875
Step-by-step explanation:
get a calculator
What is the volume of this composite solid?
2 m
8 m
3 m
5 m
Answer:
240
Step-by-step explanation:
2*8*3*5
Answer:
160
Step-by-step explanation:
a P e X
Solve the equation x2 – 18x= 40.
Answer:
x=−2 or x=20
Step-by-step explanation:
Answer:
x=20,-2
Step-by-step explanation:
80.2 divided by 4 estimate
Answer:
20
Step-by-step explanation:
Hope I’m correct-
80.2 is rounded to 80 and 4 is just 4. So 80 divided by 4 would be 20.
So your answer is 20.
4a2 - 1
c) 2а – За – 2
b) 7p + 6q- 2p + q = ?
[tex]7p + 6q - 2p + q \\ = (7p - 2p) + (6q + q) \\ = 5p + 7q[/tex]
Answer:
5p+7q is the answer
Step-by-step explanation:
4.
What is the result of (f X g)(x) if
f(x) = -3x + 11 and g(x) = 11x + 7?
( 33x² 100x - 77
(B 33x - 142x - 77
C -33x + 100x + 77
D -33x² + 142x + 77
Answer:
thank you
Step-by-step explanation:
thanks for the pts i need them sowwy
i don’t know how to do this please helppp
Answer:
Given the 2 values, height and the base, of these 2 triangles, we can assume that they are similar (meaning they share the same angles) as we have no other information to determine the height of the tree.
Therefore, if these triangles are similar, their corresponding sides are proportional. In other words, PZ/RT = QZ/ST or RT/PZ=ST/QZ
Hence, if we find the ratio of this, we can use it to find the side h
QZ/ST=PZ/RT
48/12=PZ/4
PZ/4=48/12
(PZ/4)3=48/12
PZ(3)/12=48/12
48/3=16
16=PZ.
3Step-by-step explanation:
Classify the triangle
Answer: B I believe
Step-by-step explanation:
Answer:
Isosceles becuase there are 2 equal sides but 1 side is different.
the sum of 26 and twice a number
Answer:
the answer to your question is 78. and the algebraic expression is 26 times 2 equals 52, then 52 plus 26