=========================================================
Explanation:
We can apply the remote interior angle theorem.
The exterior angle DFG is far away from the remote interior angles FGH and GHF. In other words, the exterior angle is not adjacent to these remote interior angles.
The remote interior angles add to this exterior angle.
(angle FGH) + (angle GHF) = angle DFG
(89) + (5x-7) = 14x+1
5x + 82 = 14x + 1
82-1 = 14x-5x
81 = 9x
9x = 81
x = 81/9
x = 9
If this is the case, then,
angle DFG = 14*x+1 = 14*9+1 = 127
please help and show work! :)
Step-by-step explanation:
how do you show work cuz I screenshot it but it won't let me write over the thing and put the answer so can I just type it out
Answer each question based on the graph below. How many solutions does this system have? ___________________ List the solution(s) to this system ____________________ What is the x-intercept of the linear equation? ____________________ What is the y-intercept of the quadratic equation? ____________________
Find the Least Common Denominator of
12 and 3
10
5
35
70
O 17
Answer:
the least common denominator is 12
Aline and Mihai drive to work. Aline drives 54 miles in 2.25 hours. Mihai drives 68 km in 2 hour 30 min. Work out the difference between their average speeds in km/h. 1 mile = 1.6 km
Answer:11.2
Step-by-step explanation:
Answer:
11.2
Step-by-step explanation:
Can you help me thank you
Answer:
D
Step-by-step explanation:
If you multiply one side by 4, you have to multiply both sides by 4. D is the only one who multiplies both sides by 4, so it is the correct answer.
Tom's Ice Cream Shop sold 7 sundaes with nuts and 5 sundaes without nuts. What is the ratio of the number of sundaes with nuts to the number of sundaes without nuts?
Answer:
20 : 28
5 : 7 = 20 : 28. And 7 is a fourth of 28.
Guided Practice
Determine whether the function rule models discrete data, continuous data, or neither.
A hardware store sells bolts for $.35 apiece. The function C(p) = 0.35p relates the total cost of the bolts to the number p purchased.
A.
neither
B.
continuous data
C.
discrete data
Answer:
C.
discrete data
Step-by-step explanation:
The given function is:
C(p) = 0.95p
Where p represents the number of bolts purchased. We can calculate the cost based on the number of bolts purchased.
An important distinction between discrete and continuous data is that the continuous data is measured while discrete data is calculated or counted. Since we are obtaining the data by calculation, it must be discrete data.
The function can take on only specific values. For example for p=0, C is 0 and for p=1 the value of C is 0.95. The function cannot take any value in between 0 and 0.95. This is a characteristic of discrete function. A continuous function can take all possible values in an interval.
Therefore, the answer to this question is: The Function models discrete data.
Evaluate 3 to the 2nd power plus 7 times 2
Hey there!
3^2 + 7 • 2
3^2 = 3 • 3 = 9
9 + 7 • 2
7 • 2 = 14
9 + 14 = 23
Answer: 23 ☑️
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer:
my
Step-by-step explanation:
Sam deposited $400 into her savings account that earned 4.5% interest per year. How much money did she have after 2.5 years?
Answer:
$445
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4.5%/100 = 0.045 per year,
then, solving our equation
I = 400 × 0.045 × 2.5 = 45
I = $ 45.00
The simple interest accumulated
on a principal of $ 400.00
at a rate of 4.5% per year
for 2.5 years is $ 45.00.
How do you solve for x ?
please dont respond just for points
Answer:
X is 110cm
Step-by-step explanation:
35degrees plus 90degrees equals 125degrees
So 125-15=110cm
is the relation a function?
Need Help Fast!!!!
Will Mark Brainlist!!!!
Will Rate!!!!
9th Grade Honors Geometry
Answer:
The Correct Answer is 4!
Step-by-step explanation:
We know on triangle 1 that 2 of the sides are 2 and 4 and there a right angle, an angle that has 90 degrees
with this we can calculate the top angle to be 26.565 which combined on both sides is equal to 90, lust you will then have to subtract 90 minus 26.565 and you will get 63.435. Now that we know than the top angle is equal to 63.435, the 2nd angle is equal to 90 degrees which by the way resembles a right angle, and that 1 side of the 3 sides is 2 we can conclude though the triangle formula that...
X=4.
That's it Hope I Helped.
Which statement is not true in the
equation
y = 0.5x?
Answer:
Are there set answers? Ill edit my answer after.
Step-by-step explanation:
PLEASE HURRY !!!
B
c
Which statement is correct for AABC and AA'B'C'?
SABC - AA'B'C', because AA'B'C' is obtained by dilating AABC by a scale factor of 1 and then rotating it about the origin by 90 degrees
6
AABC - AA'B'C', because AA'B'C' is obtained by dilating AABC by a scale factor of and then rotating it about the origin by 180 degrees
AABC - AA'BºC, because AA'B'C' is obtained by dilating AABC by a scale factor of and then rotating it about the origin by 180 degrees
AABC - AA'B'C', because AA'B'C' is obtained by dilating AABC by a scale factor of and then rotating it about the origin by 90 degrees
3
Answer:
2nd choice
Step-by-step explanation:
1. dilation factor: 1/2
2. rotation: about origin anti-clockwise 180°
Δ ABC - Δ A'B'C', because AA'B'C' is obtained by dilating AABC by a scale factor of 1/2 and then rotating it about the origin by 180 degrees.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
We have to find the statement which is correct for triangle ABC and triangle A'B'C'.
Let us find the coordinates of triangle ABC
A=(2, 2), B=(2, 10) and C=(8, 12)
After transformation the triangle A'B'C'.
Coordinates A' = (-1, -1), B(-1, 5) and C'(-4, 6)
The scale factor is 1/2.
A dilation is a transformation which preserves the shape and orientation of the figure, but changes its size.
Δ ABC - Δ A'B'C', because AA'B'C' is obtained by dilating AABC by a scale factor of and then rotating it about the origin by 180 degrees.
Hence, Δ ABC - Δ A'B'C', because AA'B'C' is obtained by dilating AABC by a scale factor of 1/2 and then rotating it about the origin by 180 degrees.
To learn more on Graph click:
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2.
Which relationship is a function?
A.
ху
9 -6
9-8
4
2
-32
B. {(-10, 8), (5, 2), (-1, 5), (-1, -9)}
C. {(3, 4), (10, -7), (-7, 1), (3, 10)}
D. {(-6, 3), (4, 4), (-7, 10), (0, 7)}
Skaters world is having a Labor Day sale. All skateboards are 20% off the original prices. You are interested in buying a board that normally sells for $59. How much money are you saving on the skateboard?
please help asap!!!!!!!!!!!!
7853.98mm
Step-by-step explanation:
Circumference is pi times diameter so the diameter is 100 millimeters
Diameter is 2 times the radius so the radius is 50 millimeters
Area is pi times the radius squared so the area is about 7853.98 millimeters squared
Answer:
A = 795.77
Step-by-step explanation:
Using the formulas
A=πr2
C=2πr
Solving forA
A=C2
4π=1002
4·π≈795.77472
Write the slope-intercept inequality for the graph below.
Answer: y <= -3x + 3
-----------------------------------------
Explanation: The slope of the boundary line is -3 because we go down 3 over 1 each time we go from point to point. We can use the slope formula to get
m = (y2-y1)/(x2-x1)
m = (-3-3)/(2-0)
m = -6/2
m = -3
The y intercept is 3 because this is the location on the y axis where the graph crosses, so b = 3
Therefore the boundary line equation is y = -3x+3. Note how it's in the form y = mx+b where m = -3 and b = 3
The boundary line is solid. The shading is below the boundary line. So we change the equal sign to a "less than or equal to" sign to get the final answer of y <= -3x+3
Step-by-step explanation: Hope I helped can i have a brain list
Donald's Earnings, x (dollars) Fallons Earnings, y 38 45 43 50 48 55 53 60 58 65 Which equation best represents Fallon's earnings in terms of Donald's earnings? A. y=x+7 B. X=7y C. y=7x D. x=y+7
Given:
The table of values for Fallon's earnings in terms of Donald's earnings.
To find:
The equation that best represents Fallon's earnings in terms of Donald's earnings.
Solution:
In the given table the x-values are increasing by 5 units and y values increasing by 5 units. It means the rate of change of y with respect to x is constant and the table represents a linear function.
If the graph of a linear function passes through two points, then the equation of linear function is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Consider any two points from the table. Let the two points are (38,45) and (43, 50). Then, the equation is
[tex]y-45=\dfrac{50-45}{43-38}(x-38)[/tex]
[tex]y-45=\dfrac{5}{5}(x-38)[/tex]
[tex]y-45=1(x-38)[/tex]
[tex]y-45=x-38[/tex]
Adding 45 on both sides, we get
[tex]y=x-38+45[/tex]
[tex]y=x+7[/tex]
Therefore, the correct option is A.
When looking at a rate table for supplemental term life insurance, what are the rates based on?
a. where the insured was born
b. the marital status of the insured
c. where the insured lives
d. the age of the insured
Answer:
d. the age of the insured
Step-by-step explanation:
The primary unit for figuring out a life insurance rate is the rate per thousand
can someone help me find the equation for this line please
Answer:
y = x + 1
Step-by-step explanation:
The line y = x goes through the origin, and forms a perfect 45 degree angle with the x axis.
This is that same line, moved upward 1 unit, so the y value comes out 1 unit more.
Also, in y = mx + b form (slope-intercept form), we see slope m = 1 and y-intercept b = 1, so
y = 1x + 1 = x + 1
y = x + 1
(this is about Write Expressions)
~~
Eric is 3 times older than his sister Alyssa. Eric is 15 years old. Create an equation to find out Alyssa's age
Answer:
the answer is five because 3 times 5 is 15
Step-by-step explanation:
Answer:
Equation : - three times a number is equal to 15
3x = 15
x = 15 ÷ 3
x = 5
Please help me answer 7 and 9!!
Answer:
Step-by-step explanation:
Find f(-2) this is due in 10mins help please
-2f
Step-by-step explanation:
move the -2 to the left of the f
Each serving of food at an awards lunch costs $10.46. A total of 42 people attend the lunch.
What is the total cost for the food at awards lunch?
Enter your answer in the box.
Answer:$439.32 us$
Step-by-step explanation: $10.46 x 42
Answer:
439.32
Step-by-step explanation:
I took da test
Which choice below lists all of the square roots of the number 15?
C. V15
A. 3,5
D. V15,-VIS
B. 15,-15
E. 5,-5
Answer:
A is your answer
Step-by-step explanation:
What is the area of this composite figure??
Please help! I am so confused!
Answer:
180 cm²
Step-by-step explanation:
Area of Triangle: 1/2bh
You can divide the figure into two parts: top and bottom.
Top:
1/2(4)(12)
1/2 (48)
24
24 • 2 (two triangles) = 48 cm²
Bottom:
1/2(12)(11)
1/2 (132)
66 • 2 (two triangles) = 132 cm²
Add them up: 48 cm² + 132 cm² = 180 cm²
HELP HELP HELP!!!!!!!
A piece of paper is 0.1 millimeter thick. When folded, the paper is twice as thick.
Find both the explicit and recursive rule for this geometric sequence.
Answer:
sorry i am struggling the same
Step-by-step explanation:
2+2=4
The answers to each part are mentioned below.
What is geometric sequence? What is an exponential function? Differentiate between equation and expression? geometric sequence : A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is a piece of paper is 0.1 millimeter thick. When folded, the paper is twice as thick.
We can write the geometric sequence as -
0.1, 0.2, 0.4, 0.8 ......
The explicit formula for a geometric sequence is of the form -a{n} = arⁿ ⁻ ¹
where [r] is the common ratio.
The recursive formula for a geometric sequence is of the form -a{n} = a{n - 1}rFor the geometric sequence -
0.1, 0.2, 0.4, 0.8 ......
The explicit formula will be : a{n} = (0.1)(2)ⁿ ⁻ ¹ The recursive formula will be : a{n} = 2a{n - 1}If the paper is folded 7 times, we can write the thickness as -
y{7} = (0.1)(2)⁶ = (0.1) x (64) = 6.4
To surpass the Mount Everest, we can write -
8850 < (0.1)(2)ⁿ ⁻ ¹
(2)ⁿ ⁻ ¹ > 88500
(2)ⁿ/2 > 88500
(2)ⁿ > 177000
n log(2) > log(177000)
n > {5.25/log(2)}
n > 17.44
n > 18
Therefore, the answers to each part are mentioned above.
To solve more questions on functions, expressions and polynomials, visit the link below -
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I need help. I have no idea how to do this!
Answer:
A ≈ 5.1 units²
Step-by-step explanation:
The area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] × 2 sides × sin (angle between them ) , then
A = 0.5 × 7 × 3 × sin29° ≈ 5.1 units²
Find the scale factor
A. 3.5
B. 3/5
C. 35
Answer:
3.5
Step-by-step explanation:
35/10 = 3.5