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
Graph y=3x+2.
It's for math and I need h e l p
Answers
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
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 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:
PLEASE HELPP MEEE!!!!!
The opposite of 2 * a number is greater than -6
Answers
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 :)
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)
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.
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
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❤️
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.
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
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
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
"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
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?
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.................
Solve for x given the lines are parallel.
(7x - 8)
62°
Answers
Answer:
The answer is 0 ✌
Step-by-step explanation:
70 - 8 =62°
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' = 9AThe 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.
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! :)
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!
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.
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
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.
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
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.
whats 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
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