Answers
= 1/2(130)
= 65
the measure of ∠CGF = 180 - 65
= 115
This is an isosceles triangle, which means its base angles are congruent. Interior angles of triangle add to equal 180 degrees, so you can make an equation to solve for the measure of the base angles. I'll call the base angles x.
180 = 50 + 2x
130 = 2x
65 = x
That gives you m∠EGF and m∠FGE (65°).
To find m∠CGF, you must know that it and ∠EGF are supplementary (they add to equal 180 degrees). Make another equation setting them to equal 180 using m∠EGF (65°):
180 = 65 + x
115 = x
Answer:
m∠EGF = 65°
m∠CGF = 115°
Related Questions
Question 4 Unsaved
What is the value of θ for the acute angle in a right triangle?
sin(θ) = cos(58°)
Question 4 options:
32°
58°
122°
29°
Answers
https://brainly.com/question/9317910
The angle sum property of a triangle states that:
Sum of three angles of a triangle is 180 degrees.
Now we are given a right angled triangle here.
The question can be described as shows in figure.
Here ABC is a triangle right angles at B.
The other angle is 58 degrees.
Using angle sum property:
∠A + ∠B +∠C =180
let ∠A = 58° and ∠B =90°
So we have ,
58° + 90° +∠C =180
148°+∠C=180°
∠C = 32°
Answer : Angle C is 32 degrees.
Option A is correct choice
Working together 6 friends picked 14 2/5 lb of pecans at a pecan Farm. They divided the pecans equally among themselves. How many pounds does each friend get?
Answers
14 2/5 divided by 6 = 2 2/5
Identify the trinomial that is a perfect square. HELP ASAP
A.64x^2 − 90x + 25
B.64x^2 − 70x + 25
C. 81x^2 − 70x + 16
D. 81x^2 − 72x + 16
Answers
You can find this by taking the square roots of the outside numbers and multiplying them by each other and 2 to see if they equal the middle number.
The perimeter of the scalene triangle is 54.6 cm.
Which equation can be used to find the value of b if side a measures 8.7 cm?
A) 8.7 + b = 54.6
B) 17.4 + b = 54.6
C) 26.1 + b = 54.6
D) 34.8 + b = 54.6
Answers
Its not b but if I had to guess I would say c
Six people are standing in line for concert tickets. Their average age is 27. The average age of the first four people in line is 23. The average age of the last three people is 34. How old is the fourth person in line?
a.)28
b.)26
c.)30
d.)32,
Answers
Let the age of the 4th person be F
Sum of the 1st four in line: 4(23), or 92
Sum of 1st 3: 92 - F (excludes the 4th person's age)
Sum of the last 3 in line: 3(34), or 102
Sum of last 2: 102 - F (excludes the 4th person's age)
Sum of all 6: 6(27), or 162 (INCLUDES 4th person's age)
We now get: F + 92 - F + 102- F = 162
- F + 194 = 162
- F = 162 - 194
- F = - 32
F =32.
Hence ans is op (D).
Hope it helps
The best answer for this question would be:
D. 32
In order to get this, you have to get the sum in the line, which is the first four people. So the solution would be: 4(23) = 92
For getting the sum of the people in the last 3 would be: 3(34) = 102
Next is the sum of everyone which the solution would be: 6(27) = 162
So the initial solution that we have now would be: F + 92 - F + 102- F = 162
- F + 194 = 162
- F = 162 - 194
- F = - 32
The (F) here or the fourth person’s age would be= -32 / - 1 or 32
Use a calculator to convert the angle to a decimal in degrees 61 59'20"
Answers
Explanation:
You can determine which the conversion through this calculation:
1) 1° = 60 ' => 59' = 59/60 ° = 0.98333°
2) 1' = 60'' => 20'' = 20/60 ' = 0.33333' = 0.33333 / 60 ° = 0.00555°
3) Add 59/60 ° + 20/60/60° = 0.9889°
4) Add the decimal part to 61° => 61.9889 °≈ 61.99°
John has read the first 114 pages of a novel. He has read 3 pages less than one-third of the novel.
Write an equation to describe the total number of pages p in the novel, and find the value of p.
Hellpppppp,
Answers
Find the value of y.
A.
18
B.
22
C.
24
D.
28
Answers
square root of 576 will be 24 so 24 is y
Answer:
C. 24
Step-by-step explanation:
ED2021
Using real life quantities,how will you justify that the derivative of constant is 0?
Answers
The derivative of a constant is zero can be understood by comparing it to traveling at a constant speed, where there is no change or acceleration, hence a rate of change of 0. This is analogous to the slope of a horizontal line (representing a constant function) on a graph, which is also 0.
Explanation:Using real-life quantities, one can justify that the derivative of a constant is 0 by considering the concept of speed. Imagine you are traveling in a car at a constant speed of 60 km/h. The speed does not change over time, meaning there is no rate of change or acceleration. In terms of calculus, this constant speed (constant function) has a rate of change of 0, which is its derivative.
The derivative, in a broader sense, measures the rate of change of a quantity. A constant value does not change, and hence its rate of change, or derivative, is 0. This concept can be geometrically represented as the slope of a line on a graph. A constant function graphs to a horizontal line where the slope, or rise over run, equals 0. Thus, similar to the constant speed with no change, the derivative of any constant value is always zero.
Victor will borrow $6800 at 13.5% APR. He will pay it back over 3 years. What will his monthly payment be?
$156.47
$227.46
$230.79
$324.90
Answers
Hope this helped!
Final answer:
Victor's monthly payment for the $6800 loan at 13.5% APR over 3 years is approximately $227.46.
Explanation:
To calculate Victor's monthly payment for a loan of $6800 at an APR of 13.5% over 3 years, we need to first convert the annual rate to a monthly interest rate. This is done by dividing the APR by 12 (months in a year). So, the monthly interest rate is 13.5% divided by 12, which is approximately 1.125% per month or 0.01125 in decimal form.
Next, we use the formula for an amortizing loan payment:
P = (Pv*r) / (1 - (1+r)⁻ⁿ)
Where P is the monthly payment, PV is the present value or the amount of the loan, r is the monthly interest rate in decimal form, and n is the total number of payments (months).
For Victor's loan, we have:
Present Value (PV) = $6800
Monthly Interest Rate (r) = 0.01125
Total Number of Payments (n) = 3 years * 12 months/year = 36 months
Substituting the given values into the formula yields:
P = ($6800 * 0.01125) / (1 - (1+0.01125)⁻³⁶)
Calculating the above expression, we find that Victor's monthly payment is approximately $227.46, which is one of the options given.
One number is equal to the square of another. find the numbers if both are positive and their sum is 18921892.
Answers
.. n^2 +n = 1892
The solution to this quadratic is
.. n = 43
Your numbers are 1849 and 43.
_____
The product n^2 +n can be written as n(n+1). Since n is fairly large,
.. n + 1/2 ≈ √(n*(n +1))
.. √1892 ≈ 43.497 ≈ 43 1/2
so n = 43.
There are more formal ways to get this result exactly, but it is often convenient to use a square root like this to get you close to the number of interest.
Lee’s family had a garden in the shape of a right triangle. The total area of the garden is 16 square feet. If they expand the garden to form a triangle with twice the base and twice the height, by how much will they increase the size of their garden?
Answers
Answer:
The size of the garden increases by 48 square feet.
Step-by-step explanation:
Hit that thanks button and vote so I can answer more questions! :)
Answer:
The answer is C or 48 square feet
Step-by-step explanation:
Which of these options for saving money typically offers the most liquidity?
A. A savings bond
B. A money market account
C. A certificate of deposit
D. A basic savings account
@soccerman,
Answers
D) a basic savings account.
Explanation:
Liquidity means ability to withdraw your money quickly.
A savings bond takes time, often years, to mature.
A money market account is fairly liquid, although it can take up to 7 days to withdraw your money.
A certificate of deposit (CD) can be easily withdrawn, but you will lost interest if you do not fulfill the entire term of the CD.
With a basic savings account, you can withdraw money at any time; however you may experience fees for not having met the minimum balance requirements if you're not careful.
Answer:
this guy should not be certified, it's savings bond just had the question
A P E X
Which monomial function has a maximum value?
(Can anyone explain how you can tell?)
y=-6x^3
y=-5x^4
y=5x^6
y=6x^5,
Answers
To determine which of the following monomial function has a maximum value, you have to assume the value of x. Let us say the value of x is 2. Substitute 2 for all x’s in the monomial function.
y=-6x^3 = -6(2)^3 = -48y=-5x^4 = -5(2)^4 = -80
y=5x^6 = 5(2)^6 = 320
y=6x^5 = 6(2)^5 = 192 Therefore, the monomial function with the maximum value is y = 5x^6
Answer:
[tex]y=-5x^4[/tex]
Step-by-step explanation:
Remember that a maximum value (global) of a function is the bigest value that the function takes.
For see the values of the functions you can see its graphs.
I have uploaded the graphs of the functions in the question and you can see it, and then convince yourself why the answer is y=-5x^4.
Also you have the fact that the functions of the form [tex]y=kx^n [/tex] have a maximum value only if [tex]n[/tex] is an even natural number and k is a negative real number.
Jim makes and sells denim knapsacks for $10.50 apiece. The knapsacks cost $7 apiece to produce.
Jim makes ____% profit on each knapsacks.
Show your work.
A. 33
B. 50
C. 75
D. 125
Answers
In this problem, to solve for the gross profit, you have to deduct the cost of each knapsack to its selling price.
The gross profit of Jim is $3.50 ($10.50 - $7).
To compute the gross profit rate, you have to divide the gross profit ($3.50) to the cost of each knapsack ($7).
$3.50 / $7 = 0.5 or 50%
Therefore, Jim makes 50% profit on each knapsack.
Use the information given to determine Whether bd||ae
Answers
To determine if the lines are parallel. You need to check if the segments form on each side are proportion.
#8 check to see if: 2/1 = 3/1.2
If you cross multiply, you get 3 = 2.4 which is not true, so the lines are NOT parallel.
#10 check to see if: 6/5 = 9/7.5
If you cross multiply, you get 45 = 45 which is true, so the lines are parallel.
If a circle has a radius of 20.5 cm, what is its circumference?
Answers
2[tex] \pi [/tex]20.5
after calculating, you should get-
128.8 cm
The 151 workers at a factory together produce 18 422items per day. What is the daily unit rate of items per worker?
Answers
To find the daily unit rate per worker we use the following formula
[tex] \frac{total \: items}{workers} [/tex]
Filling in this formula gives us
[tex] \frac{18422}{151} = 122[/tex]
Therefore, the daily unit rate per worker is 122 items.
1 worker = 18422 ÷ 151
1 worker = 122 items
------------------------------------------------------
Answer: Daily Rate = 122 items/worker
------------------------------------------------------
Aflati masurile unghiurilor unui patrulater convex ,daca ele sunt direct proportionale cu numerele.2,3,6,7.,
Answers
a, b, c, d - măsurile unghiurilor ⇒ a+b+c+d= 360°
[tex]\it \{a,b, c, d\}\ d.p. \{2,3, 6, 7\} \Rightarrow \dfrac{a}{2}= \dfrac{b}{3}= \dfrac{c}{6} =\dfrac{d}{7}= \dfrac{a+b+c+d}{2+3+6+7} = \\ \\ \\ = \dfrac{360^0}{18} =20^0[/tex]
[tex]\it \dfrac{a}{2} =20^0 \Rightarrow a=20^0\cdot2 =40^0 \\ \\ \dfrac{b}{3} =20^0 \Rightarrow b=20^0\cdot3 =60^0 \\ \\ \dfrac{c}{6} =20^0 \Rightarrow c=20^0\cdot6 =120^0 \\ \\ \dfrac{d}{7} =20^0 \Rightarrow d=20^0\cdot7 =140^0[/tex]
Rewrite the rational exponent as a radical exponent
Answers
Suppose you earn 15$ for each car you wash. Which function describes the relationship between your total earnings E and the number of cars you wash, c?
A) E(c) = c + 15
B) E(c) = 15c
C) c = 15E
D) E(c) = c - 15
Answers
city purchases a square plot of land with an area of (x2+ 24x + 144) square yards for a park. The dimensions of the plot are of the form ax + b, where a and b are whole numbers. Find an expression in terms of x for the perimeter of the park. An expression in terms of x for the perimeter of the park is Select... select 8) The perimeter of the park when x = 10 yards
Answers
when we factorise this quadratic formula
(x² + 24x + 144)
= x² + 12x + 12x +144
= x ( x+ 12) + 12 (x + 12)
(x+12)(x+12)
the area of the square plot has been calculated by multiplying the lengths of the 2 sides. As its a square, all sides are equal
the length of one side = x+12
the dimensions are given in the form ax + b
from the length x + 12 , a = 1 and b=12
the perimeter of the park = 4 * length of one side
therefore perimeter = 4 * (x+12)
= 4x + 48 yards
next we are asked to find the perimeter when x = 10 yards
perimeter = 4*10 + 48 = 40 + 48 = 88 yards
order the following numbers from least to greatest. sqrt 11, -0.4, (-4/3), 0.8, sqrt 2
Answers
3 < sqrt 11 < 4
order least to greatest
(-4/3), -0.4, 0.8, sqrt 2, sqrt 11
The numbers arranged from least to greatest will be -0.4, -1.33, 0.8, 1.41, and 3.32.
What is ascending order?It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggest one.
The decimal number is the sum of a whole number and part of the fraction number. The fraction number is greater than zero but less than one.
The numbers are given below.
√11, -0.4, (-4/3), 0.8, √2
Convert all the numbers into decimal form, then we have
√11, -0.4, (-4/3), 0.8, √2
3.32, -0.4, -1.33, 0.8, 1.41
Then the numbers arranged from least to greatest will be -0.4, -1.33, 0.8, 1.41, and 3.32.
More about the ascending order link is given below.
https://brainly.com/question/320500
#SPJ2
Which graph shows a proportional relationship?
Answer choices attached.
Answers
△PQR is similar to △STU . In addition, m∠U=96° and m∠T=6(m∠P) . What is m∠P ? Enter your answer in the box. °
Answers
m∠R = m∠U = 96°
m∠Q = m∠T = 6
m∠P = 180 - ( 96 + 6)
m∠P = 180 - 102
m∠P = 78
answer
m∠P = 78
Answer:
[tex]m\angle P=12^{\circ}[/tex]
Step-by-step explanation:
Two triangles are similar if their angles are equal one to one.
So:
[tex]m\angle P= m\angle S\\m\angle Q= m\angle T\\m\angle R= m\angle U[/tex]
Also, the problem provided this data:
[tex]m\angle T= 6(m\angle P)[/tex]
As you may know, the sum of the interior angles of a triangle is equal to 180, so:
[tex]m\angle S+m\angle T + m\angle U=180\\\\Where:\\\\m\angle T=6(m\angle P)\\\\So:\\\\m\angle S+6(m\angle P) + m\angle U=180[/tex]
and:
[tex]m\angle P=m\angle S\\\\Hence\\\\m\angle S+6(m\angle S) + m\angle U=180\\\\7(m\angle S) + m\angle U=180\\\\7(m\angle S) + 96=180[/tex]
Solving for [tex]m\angle S[/tex]
[tex]m\angle S =\frac{180-96}{7} =12^{\circ}[/tex]
Since:
[tex]m\angle P= m\angle S=12^{\circ}[/tex]
Therefore [tex]m\angle P=12^{\circ}[/tex]
Scott and Harry went cycling every day. They increased the number of minutes of cycling every week as described below: Scott: Cycled for 10 minutes every day in the first week, 15 minutes in the second week, 20 minutes in the third week, and 25 minutes in the fourth week. Harry: Cycled for 10 minutes every day in the first week, 20 minutes in the second week, 40 minutes in the third week, and 80 minutes in the fourth week. Which statement best describes the methods used by Scott and Harry to increase the time they spent cycling? Scott's method is linear because the number of minutes increased by an equal number every week. Harry's method is linear because the number of minutes increased by an equal factor every week. Both Harry's and Scott's method is exponential because the number of minutes increased by an equal factor every week. Both Harry's and Scott's method is exponential because the number of minutes increased by an equal number every week.
Answers
Answer:
Scott's method is linear because the number of minutes increased by an equal number each week.
Arithmetic progressions use the linear method.
The graph proves it, by obtaining a straight line.
Step-by-step explanation:
Scott used an arithmetic progression, with a ratio of 5, that is adding 5 to the value of each previous week.
Let us call the time in minutes of each week, so the arithmetic progression is of the following linear form:
S1 = k0 = 10
S2 = k1 + 5 = 10 + 5 = 15
S3 = k2 + 5 = 15 + 5 = 20
S4 = k3 + 5 = 20 + 5 = 25
See attached chart.
Harry used a geometric progression, with a ratio of 2, that is multiplying by 2 the value of each week.
Let us call time in minutes of each week, so the geometric progression is of the following exponential form:
S1 = k0 = 10
S2 = k1 x 2 = 10 x 2 = 20
S3 = k2 x 2 = 20 x 2 = 40
S4 = k3 x 2 = 40 x 2 = 80
See attached chart.
Let's analyze the four options given:
Scott's method is linear because the number of minutes increased by an equal number each week.
True: The graph proves it, by obtaining a straight line.
Also, Arithmetic progressions use the linear method.
Harry's method is linear because the number of minutes increased by an equal factor each week.
False: The graph shows that it is not linear, a straight line is not obtained.
Both Harry and Scott's method are exponential because the number of minutes increases by an equal factor each week.
False: Scott's method is linear.
Both Harry and Scott's method are exponential because the number of minutes increases by an equal number each week.
False: Scott's method is linear.
FAN AND MEDAL!!
The formula for the circumference of a circle is C = 2πr, where r is the radius. Rearrange the formula to solve for r and select the correct option below.
r = C over 2 pi
r = 2πC
r = C − 2π
r = 2 pi over C,
Answers
Write the polynomial in standard form. Then identify the polynomial by the number of terms. -5x^2-2x^3-4x
A
-4x-2x^3-4x; binomial
B.
-4x-5x^2-2x^3; trinomial
C.
-2x^3-5x^2-4x; trinomial
D.
-2x^3-4x-5x; binomial
Answers
-5x^2[?]-2x^3
-5x^2[<]-2x^3
so:
-2x^3-5x^2-4x
Second part:
a term is either a single number or variable, so we can conclude that (-5x^2) is a single term, so is (-2x^3) and (4x) because there are 3 terms this would be considered a Trinomial. Looking at the answers we can single out A and D because they do not have Trinomial in the answer. Since the standardized form starts with (-2x^3) We can single out B. giving us the answer of C.
Answer: C
Hope this helped :). Sorry if my grammar is off.
Pat's Pizza made 21 cheese pizzas, 14 veggie pizzas, 23 pepperoni pizzas, and 14 sausage pizzas yesterday.
Based on this data, what is a reasonable estimate of the probability that the next pizza made is not a cheese pizza?
Answers
Being cheese is 21/the total
Total = 21 + 14 + 23 + 14
Total = 72
P(cheese) = 21/72 x 100
About 29%
P(not cheese) =71%
Consumer math help
1. When you pay a bill in full, you are
a. paying it off
b. defaulting
c. maximizing profit
d. zeroing
2. APR stands for
a. annual partial
b. amortized percentage rate
c. annual percentage rate
d. amortized partial rate
3. when calculating interest accrued, you should
a. multiply the principal by APR
b. multiply the principal by the APR and number of months
c. multiply the principal by the APR and number of months, then divide by the total number of the months in the year
d. multiply the principal by the APR and the number of months in the year, then divide by the,
Answers
Answer:
A, C, C
Step-by-step explanation:
Some other dude answered it. I just simplified his answer.