Answers
Answer:
15. [tex] x = 8 [/tex]
16. m<V = 103°
17. [tex] x = 14 [/tex]
Step-by-step explanation:
15. The figure given is quadrilateral. Sum of interior angles of a quadrilateral = 360°
Therefore:
[tex] (10x + 6) + (13x - 2) + (8x - 1) + (180 - 71) = 360 [/tex]
Solve for x
[tex] 10x + 6 + 13x - 2 + 8x - 1 + 109 = 360 [/tex]
Add like terms
[tex] 31x + 112 = 360 [/tex]
Subtract 112 from each side
[tex] 31x = 248 [/tex]
Divide both sides by 31
[tex] x = 8 [/tex]
16. The polygon is a hexagon. Sum of interior angles of a hexagon = 720. Therefore:
[tex] 90 + (7x + 3) + 128 + (5x + 8) + 111 + (9x - 19) = 720 [/tex]
Solve for x
[tex] 90 + 7x + 3 + 128 + 5x + 8 + 111 + 9x - 19 = 720 [/tex]
Add like terms
[tex] 321 + 21x = 720 [/tex]
Subtract 321 from each side
[tex] 21x = 399 [/tex]
Divide both sides by 21
[tex] x = 19 [/tex]
m<V = 5x + 8
Plug in the value of x
m<V = 5(19) + 8 = 95 + 8
m<V = 103
17. The polygon is a regular pentagon. This means each of the angles measures 108°. The sum of the interior angles all together is 540.
Therefore:
[tex] (9x - 18) = 108 [/tex]
Solve for x
[tex] 9x - 18 = 108 [/tex]
Add 18 to both sides
[tex] 9x = 126 [/tex]
Divide both sides by 9
[tex] x = 14 [/tex]
Related Questions
Lindsey's goal is to sell at least 35 candles at each of 15 craft fairs. She makes 24 candles each day for 20 days. Use the drop-down menus to explain whether Lindsey makes enough candles to reach her goal.
Answers
Answer:
D.Lindsay makes 480 candles. She divides 480 by 15 to get 32. She does not make enough candles.
Step-by-step explanation:
The explanation of the sufficient candles that are required to check whether she reach her goal or not is as follows:
She makes 480 candles that come from
= 24 candles each days × 20 days
= 480 candles
Now if we divide the 480 candles from 15 so we get 32
This is less than the minimum candles required i.e. 35
So, the option D is correct
the answer is yes or no ?
Answers
one pound is around 2.5 dollars
Answer:
No!!
Step-by-step explanation:
For every 1 pound it costs $2⁵⁰
For every 2 pounds it costs $5⁰⁰
For every 3 pounds it costs $7⁵⁰
and so on going by 2.50 each pound.
25 is 10% of what number?
Answers
Answer: 40
Step-by-step explanation:
This is saying one-fourth, or 25% , of a number x , is equal to 10 . Therefore, 25% of 40 is 10
Answer:
250
Step-by-step explanation:
10%x10=100%
25x10=250
probably not the best explanation but I hope it helps!
A 10 metre piece of wire is a cut into two parts one part is 2 metre longer than the other. how long are the pieces
Answers
Explanation:
10÷2=5
Add a meter to one half and subtract a meter from the other to get the two meter difference.
5−1=4 (first half)
5+1=6 (second half)
I did this in my head, so my explanation might not make sense. Sorry :)
PLEASE HELP! If I add five to a mystery number and then multiply the result by two, I get twenty four. Write an equation to solve for the mystery number, solve the equation and then check your answer.
Answers
Answer:
The mystery number is 7
Step-by-step explanation:
This is a very easy problem.
let the mystery number=x
2(x+5)=24
2x+10=24
2x=24-10
2x=14
x=7
To check the answer,
Add 5 to 7=12, multiply by 2=24
"Nine less than four times a number is greater than seventeen." Which inequality is a correct translation of this statement?
Answers
Hi, you didn’t post answer choices but this should be it:
4x - 9 > 17
Your parents took your family out to dinner Your parents wanted to give the waiter a 20% tip. If the total amount of the dinner was $42.00, What is the total price of your dinner, including the tip?
Answers
Answer:
50.4
Step-by-step explanation:
42 * 0.02 = 8.4
42 + 8.4 = 50.4
PLEASE HELPP MEEE!!!!!
The opposite of 2 * a number is greater than -6
Answers
whats the missing number?
Answers
Answer: -0
The absolute value of any number is positive so you can say the absolute value of -0 is 0 and it’ll be true. You can also say the absolute value of 0 is 0.
Solve for x given the lines are parallel.
(7x - 8)
62°
Answers
Answer:
The answer is 0 ✌
Step-by-step explanation:
70 - 8 =62°
A shoe store uses a 50% markup for all of the shoes it sells. What would be the selling
price of a pair of shoes that has a wholesale cost of $63?
Answers
explanation: 50% * 63 = 31.5
31.5+63=94.5
Yo can I get some help on this question ?
Answers
Step by step:
So it only shows 90 & 60 I think your going to add (90 + 60=150+30=180
If your target is to get 180 that’s the answer I did this in 6th grade I’m not sure if it is right hope this helps❤️
The bake sale sold pies for $5.99 each and cakes for $9.99 each. The total number of pies and cakes sold was 25 for $189.75.
Answers
Answer:
profit 40 dollars
Step-by-step explanation:
Is this a function or not
Answers
Answer:
it is a function
Step-by-step explanation:
Find the solution(s) to (x- 3) = 49. Check all that apply.
OA X=-10
B. Xx=-4
C. x-7
OD. X=-7
OE. X= 10
Answers
Answer:
B.x= -4 and E. x= 10 are the answers
Graph y=3x+2.
It's for math and I need h e l p
Answers
Find the area of a circle with a circumference of 31.4 yards.
Answers
Answer:
A = 78.46 square yards
Step-by-step explanation:
A = (C^2)/4π
A = ((31.4 )^2)/4π
A = 78.46
hope this helps, pls mark brainliest :D
Answer:
your answer is going to be 3097.48
A bus company wanted to know if the number of complaints they received was a function of the number of us is it ran the company carried out a study comparing the average number of buses per hour for different days and the number of complaints that it received on those days a line was fit to the data to model the
Answers
Answer:
The answer is "28!"
Step-by-step explanation:
In this question, the equation is "[tex]y = -4x + 42[/tex]" and the number of complaints were = [tex]28![/tex] .
Answer:
graph d
Step-by-step explanation
(if it asks which graph)
Simplify the expression 3t+5t-2t=6t
Answers
Answer:
t=1
Step-by-step explanation:
First combine the like terms
3t+5t+2t=6t 3+5-2=6
6t=6t
then divide each side by 6 to simplify
6t=6t
-------
6 6
t=6/6
t=1
Circle D was dilated to form circle D prime. The diameter of circle D is 5 units and the diameter of circle D prime is 15 units. What is the relationship between the areas of circle D and circle D prime?
Answers
Answer:
A' = 9AStep-by-step explanation:
Area formula:
A = πd²/4Area of circle D:
A = π(5²)/4= 25/4πArea of circle D'
A' = π(15²)/4 = 9*25/4π = 9ARequired relationship:
A' = 9Awhats the y intercept in x + y = –3
Answers
Answer:
the y-intercept is -3
Step-by-step explanation:
x+y=3
-x -x
y=-x-3
b=-3
Answer: Slope = -2.000/2.000 = -1.000
x-intercept = -3/1 = -3.00000
y-intercept = -3/1 = -3.00000
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
x+y-(-3)=0
STEP
1
:
Equation of a Straight Line
1.1 Solve x+y+3 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line x+y+3 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is -3/1 so this line "cuts" the y axis at y=-3.00000
y-intercept = -3/1 = -3.00000
Calculate the X-Intercept :
When y = 0 the value of x is -3/1 Our line therefore "cuts" the x axis at x=-3.00000
x-intercept = -3/1 = -3.00000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -3.000 and for x=2.000, the value of y is -5.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -5.000 - (-3.000) = -2.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -2.000/2.000 = -1.000
Geometric figure: Straight Line
Slope = -2.000/2.000 = -1.000
x-intercept = -3/1 = -3.00000
y-intercept = -3/1 = -3.00000
Which part of this graph shows a nonlinear relationship?
Distance from home
2.
Time
O A. 3
B. 2
C. 1
O D. 4
Answers
Answer:
D. 4 is the non linear area of the graph.
Step-by-step explanation:
Non linear is when there is not a exact increase or decrease, also known as a equal change over time.
Answer: Answer is D
Step-by-step explanation:
A simple way to explain nonlinear is when the line is curvy.
If –2 and –5 are the roots of the equation ax + bx + 20 = 0, find the values of a and b.
Answers
Answer:
a=2
b=14
Step-by-step explanation:
Step-by-step explanation:
a=2b=14.................
Please help I need the answer soon!!!!!!
Answers
Answer:
The measure of angle two is 47 degrees (first triangle), and the measure of angle four is 42 degrees (second angle)
Step-by-step explanation:
Remember that all triangles have a full measurement of 180 degees.
Since measure one is is 65 degrees, we need to add 65 and 68, which is 133 degrees.
Now we subtract 180 - 133 = 47.
The measure of angle two is 47 degrees.
Since the angle of measure three is 89 degrees, we need to add 89 + 49, which is 138 degrees.
180 - 138 = 42.
Dr. K went from grading 20 papers a day to 30. What is the percent of change
Answers
Answer:
150% increase
Step-by-step explanation:
30 divided by 20 is 1.5
The sum of 10 and Hector's age is 69 . Use the variable H to represent Hector's age.
Answers
Answer:
59? Is it H = 59?
Find the slope of 6x – 3y = 5
Answers
Answer:
slope is 2
Step-by-step explanation:
simplify this equation so that you can get to "y ="
your equation is: 6x - 3y = 5
start by subtracting 6x from both sides: -3y = -6x - 5
then divide both sides by -3 to isolate y: y = 2x - 5/3
so now we can clearly see that the slope is 2, since that is what is right next to x
max bought some e-books for $8.99 each and some magazines at $3.99 each. if E represents number of e-books and M represents number of magazines, which equation describes the relationship between these two variables if he spent a total of $68.89 on these items?
A- 8.99e-3.99m=68.89
B- 3.99e+8.99m=68.89
C- 3.99e-8.99m=68.89
D- 8.99+3.99=68.89
Answers
Answer:
A. or D. Can't explain it but it's one of the two, most likely A.
6.2 yd
8.5 yd
15.7 yd
what is the volume
Answers
Answer:
827.39 yd cubed or ^3
Step-by-step explanation:
Hope i could help
Answer:
[tex]827.39yd^{3}[/tex]
Step-by-step explanation:
The formula to find the volume of a rectangular prism is length times width times height ([tex]lwh[/tex]). So, multiply the three numbers and you’ll get [tex]827.39yd^{3}[/tex]. You always have to cube the units. So you have to cube the yd.
Hope this helps and answers your question! :)
The equation below describes a proportional relationship between x and y. What is the constant of proportionality? y = 2/9x
Answers
====================================================
Explanation:
The equation y = (2/9)x is in the form y = kx
In this case, k = 2/9.
The value of k is the constant of proportionality.
All direct proportion equations are in the form y = kx. Their graphs go through the origin. The slope of the line is the same as the constant of proportionality.