If the measure of angle GEF is thirteen less than five times measure of angle DEG and measure of of DEF = 149 degrees, find measure of angle GEF
Answers
Answer:
122 degrees
Step-by-step explanation:
Find the diagram attached. From the diagram;
<DEG + <GEF = <DEF
If the measure of angle GEF is thirteen less than five times measure of angle DEG, this is expressed as;
<GEF = 5<DEG - 13
Substitute
<DEG + <GEF = <DEF
<DEG + 5DEG - 13 = <DEF
6<DEG - 13 = <DEF
6<DEG - 13 = 149
6<DEG = 149 + 13
6<DEG = 162
<DEG = 27
Since <GEF = 5<DEG - 13
<GEF = 5(27) - 13
<GEF = 135-13
<GEF = 122 degrees
Hence the measure of angle GEF is 122degrees
def=149
gef=5x-13
deg=x
5x-13+x=149
6x=162
x=27
plug the x back in
5(27)-13=122
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Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
Write an equation for the parabola that passes through (1,12) and has vertex (10,-4)
Answers
Answer:
y + 4 = (16/81)(x - 10)
Step-by-step explanation:
The general formula for a parabola passing through (x, y) and with vertex (h, k) is y - k = a(x - h)^2.
Here we are told that x = 1, y = 12, h = 10 and k = -4, which gives us:
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Then a = 16/81, and the desired parabola is
y + 4 = (16/81)(x - 10)
if F(x)=x^2, then evaluate f(-1)
Answers
Answer:
f=-x^2
Step-by-step explanation:
f(-1)=x^2
-f=x^2
f=-x^2
Answer:
f(x) =x^2
Step-by-step explanation:
then
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Answer:
it is 15
Step-by-step explanation:
Answer:52
Step-by-step explanation:
Find the 69th term of the following arithmetic sequence.
18, 25, 32, 39,
Answers
Answer:
18+68(25-18)=18+68(7)
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(6p+4)+(-5p+8)
Plz i need help
Answers
Answer:
p+12
Step-by-step explanation:
I'm assuming you want me to simplify this equation. Okay, first, we eliminate the redundant parenthesis. Now, we have 6p+4+-5p+8, we can simplify this to 6p+4-5p+8 because adding a negative has the same effect as subtraction. Now, we combine like terms (6p and -5p, and 4 and 8). From this, we have 1p+12 (4+8=12, and 6p-5p=1p, or just p). We can simplify this even more to get p+12. I hope this helps!
3
through: (3, 4), perp. to y = -x-5
x
Write the slope-intercept form of the
equation of the line described. *
(4 Points)
8
2
A) y = -x + 4
B) y=-
+4
C) y=xx +4
5
D) y = --X+4
OA
OD
Answers
Step-by-step explanation:
I don't really get the question...
Identify the solution set of 3 In 4 = 2 In x.
0 {6}
O {-8, 8)
O {8}
Answers
Answer:
x = 8
Step-by-step explanation:
3 ln 4 = 2 ln x ( x > 0 )
ln [tex]4^{3}[/tex] = ln [tex]x^{2}[/tex]
x² = 4³
x² = (2³)²
x = ± 2³
[tex]x_{1}[/tex] = 8
[tex]x_{2}[/tex] = - 8 ( strange root, does not satisfy the domain of given function )
x = 8
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V(5) = 2.2 means that 2.2 years after the bank account is opened, its value is $5000
V(10) – V(5) = 0.4 means that the bank account grows by $400 between 5 and 10 years after its opening
Answers
Answer:
True false false
Step-by-step explanation:
The following statements can be considered true or false as the case may be as follows;
V(0) = 2 means that the value of the bank account when it is opened is$2000 --TRUEV(5) = 2.2 means that 2.2 years after the bank account is opened, its value is $5000 --FALSEV(10) – V(5) = 0.4 means that the bank account grows by $400 between 5 and 10 years after its opening --TRUEDiscussion:
The function takes the form;
V(t) = Value of account.Ultimately,
Statement 1 is true; Statement 2 is false; andStatement 3 is true.Read more:
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Need Help with some Math
Determine the remainder when f(x) = 3x^15 - 5x^12 + 7x^6 - 3x^2 + 12 is divided by x + 1
Answers
Answer:
8
Step-by-step explanation:
We can use the Polynomial Remainder Theorem. The PRT states that if we have a polynomial [tex]f(x)[/tex] being divided by a factor in the form of [tex](x-a)[/tex], then the remainder of the polynomial is given by [tex]f(a)[/tex].
We have the polynomial:
[tex]f(x)=3x^{15}-5x^{12}+7x^6-3x^2+12[/tex]
And it is being divided by:
[tex](x+1)[/tex]
We can rewrite our factor as:
[tex](x-(-1))[/tex]
Therefore:
[tex]a=-1[/tex]
Then our remainder will be:
[tex]f(-1)[/tex]
Evaluate:
[tex]\begin{aligned} f(-1)&=3(-1)^{15}-5(-1)^{12}+7(-1)^6-3(-1)^2+12\\&=-3-5+7-3+12\\&=8 \end{aligned}[/tex]
So, our remainder will be 8.
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Answers
Answer:
the answer is P= F/(1+r)^t
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Michael’s home is 12 feet below sea level and his mother’s home is 12 feet above sea level. Michael says their homes are at opposite elevations because they are in opposite directions. Is he correct? Explain.
Answers
Answer:
Yes he is correct because -12 and 12 are the opposite.
Step-by-step explanation:
Answer:
He is correct because the numbers are in opposite directions on the number line, and their distances from 0 on the vertical number line are equal
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Answers
Answer:
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Step-by-step explanation:
Given the expression
[tex]3^{-3}\cdot 8^{-3}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]
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[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]
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[tex]3^{-3}\cdot \:\:8^{-3}=\frac{1}{24^3}[/tex]
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Aldo deposits $700 into an account that pays simple interest at a rate of 2% per year. How much interest will he be paid in the first 6 years?
Answers
Answer:
$84
Step-by-step explanation:
Principal = $700
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t = 6 years
Simple Interest = Prt
= 700 * 0.02 * 6
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A= P+rt
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Then, state how the equation r = (A- P)/t can be
modified to produce the correct result.
Answers
So, to solve for r correctly:
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A=P+Prt
A-P=Prt
r=(A-P)/Pt
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
The given parameters are;
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Answers
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Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
you divide 2 from both sides then you get y/2
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Answers
hii
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HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.IN
Answer:
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Step-by-step explanation:
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Answers
The statement about the correlation coefficient of the exponential and logarithmic model is true
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true
Step-by-step explanation:
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What do you need help with from it?
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Step-by-step explanation:
1/4 ÷ 3 = 1/4 * 1/3 = 1/12
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m∠1 = 52°
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Step-by-step explanation:
x + 33 + 2x = 90
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m∠2 = 2 ( 19 ) = 38°
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Answer:
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
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translate the unit 3 units right and 7 units down what will the new coordinate for C be if A(-4,-5) and B(0,1)
Answers
Answer:
After the transition, point A is at Location (-1, -12) and point B is located at (-2, 7)
Step-by-step explanation:
hope that helps
Which of these is considered a concurrent power?
A. establishing schools
b. drafting soldiers
c. coining money
d. collecting taxes
Answers
Answer:
d - collecting taxes should be the answer
Answer:
Collecting taxes
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Concurent powers are powers that can be used by both states and federal governments.
Describe, with examples of your own, when you would use long division and synthetic division and how to check polynomial division.