Answers
Answer:
Please check the explanation.
Step-by-step explanation:
We know that a pentagon is a polygon with 5 sides and 5 angles.
Given the polygon with 5 angles.
A pentagon is a polygon with 5 sides and 5 angles.
The angles of the given pentagon are:
∠P = (4x + 2)°
∠Q = 132°
∠R = (4x - 10)°
∠S = (5x - 11)°
∠T = 128°
We know that the sum of the measures of the interior angles of a pentagon is 540 degrees.
Therefore,
∠P + ∠Q + ∠R + ∠S + ∠T = 540°
(4x + 2)° + 132° + (4x - 10)° + (5x - 11)° + 128° = 540°
group similar elements
4x + 4x + 5x + 2 + 132 - 10 - 11 + 128 = 540
simplify
13x + 241 = 540
subtract 241 from both sides
13x + 241 - 241 = 540 - 241
13x = 299
divide both sides by 13
13x/13 = 299/13
x = 23
Thus, the value of x = 23
Therefore, the measure of angle ∠S is:
m∠S = (5x - 11)°
= (5(23) - 11)°
= (115 - 11)°
= 104°
Thus,
m∠S = 104°
Related Questions
What is the solution to the equation?
5х - 18 = 10x - 3
Answers
Step-by-step explanation:
if we add 18 to both side then it becomes 5x=10x+15 and if we divide by five, x=2x+3
Because you add 18 to both sides therefore -18+18=0 and -3+18=15
So you get 5x+10x=15
After that combine like terms which is 5x+10x=15x
You get 15x=15
Finally x=1
Which expression is equivalent to y x 48?
(y x 40) + 8
(y x 4) x 8
(y X 4) +8
(y x 40) + (y x 8)
Answers
Answer: (y*40)+(y*8)
Step-by-step explanation:
A construction company can remove 25,200 pounds of dirt from a construction site in 8 hours.
Answers
Answer:
yes they can how efficient
Step-by-step explanation:
please answer ! 10 points ! this is due in like 10 minutes !!!!!
Answers
Answer:
f is the answer
Step-by-step explanation:
I hope this helps
A family on vacation travels 360 miles in 8 hours. At this rate,
how many miles did they travel in the first 6 hours?
270 miles
B 320 miles
770 miles
110 miles
Answers
Answer: A) 270
Step-by-step explanation:
360 ÷ 8 = 45
45 × 6 = 270
write a linear function with the values f(-1)=8 and f(5)=6
Answers
Slope of line = (8-6)/(-1-5) = 2/(-6) = -⅓
y-6 = -⅓(x-5)
y = -⅓x + 5/3 + 6 = -⅓x + 7⅔
Help pls! This is due today!
Answers
Answer:
Maybe try multiplying it 12 and 3.14
Answer:
A:113.04
Step-by-step explanation:
Formula for area of a circle is pi x r^2. So 3.14 x 6^2=113.04
What is 2/3 times 6 equal?
Answers
Answer:
4
Step-by-step explanation:
[tex]\frac{2}{3}[/tex]x[tex]\frac{6}{1}[/tex]= [tex]\frac{12}{3\\}[/tex] simplified is 4
is this correct? and whats the answer? HELP ASAP!! WILL GIVE BRAINLIEST! :D
Answers
Answer:
3
Step-by-step explanation:
Slope is rise over run which is 6/2=3
Answer:
Yes, your slope/height is correct. 6/2 simplified is 3
Fixed, been a while since I have done slope
Your friend wants to buy a pair of jeans
that are on sale for 30 off if the jeans
original price is $40, how much will the
sale price be?
Answers
Answer:
$12
Step-by-step explanation:
30 x 40
100
= 12
The sale price is $12.
The price of the pair of jeans that are on sale for 30% off will be $28.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Your friend wants to buy a pair of jeans that are on sale for 30% off if the jean's original price is $40.
Let "S" be the price of sales. Then the equation is given as,
30% = [($40 - S) / $40] x 100
0.30 = ($40 - S) / $40
S = $40 - $12
S = $28
The price of the pair of jeans that are on sale for 30% off will be $28.
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ2
3х + 4y = - 23
х = 3y+1
Solve systems of equations!
Answers
Answer:
[tex]3(3y + 1) + 4y = - 23 \\ 9y + 3 + 4y = - 23 \\ 9y + 4y = - 23 - 3 \\ \frac{13y}{13y} = \frac{ - 26}{13} = - 2[/tex]
Mr. Matthews is sewing a banner for his son's baseball team. He must determine the area of the banner in order to buy the correct amount of material. Calculate the area of the parallelogram to determine how much material should be purchased. Be sure to explain how to decompose this shape into rectangles and triangles. Describe their dimensions and show your work.
Answers
Answer:
oh
Step-by-step explanation:
I can't really give you the exact answer for this question. However, I can give you the formulas to solve this question.
FORMULAS
Area of a parallelogram - b x h
Area of a triangle - b x h ÷ 2
Area of a rectangle/square - l x w
REMEMBER:
To square (²) the final total/result.A parallelogram is usually 2 triangles and a square, or you can think of it as 2 squares.Hope this helped. :)
find missing side length
Answers
Answer:
D 28
Step-by-step explanation:
plz follow me and marke me brainlist
In the rectangle
P
Q
R
S
, the side
P
Q
is of length
2
and the side
Q
R
is of length
4
.
Points
T
and
U
lie inside the rectangle so that
P
Q
T
and
R
S
U
are equilateral triangles.
What is the area of the quadrilateral
Q
R
U
T
?
Answers
Answer:
maths challenge>
Step-by-step explanation:
samee
Please I need help or I’m gonna fail If you can help me with other questions please comment
Answers
Answer:
48cm
Step-by-step explanation:
96/12=8
This means that 8 is the factor by which the diagram and the actual ramp vary
so then you multiply 8 times the height on the diagram to find the true height
8x6=48
3 ^ (1 - 2x) = 243
-
-
-
Answers
Answer: x = -2
Step-by-step explanation: If the two numbers have the same base, you can cancel the base and make the exponents equal to each other.
An object is moving east, and it’s velocity changes from 65 m/s to 25 m/s in 10 seconds.which describes acceleration
Answers
Answer:
The acceleration of object is -4 ms⁻²
Step-by-step explanation:
We are given:
Initial Velocity = 65 m/s
Final Velocity = 25 m/s
Time t = 10 seconds
We need to find acceleration.
The formula used to find acceleration is: [tex]Acceleration=\frac{Final\:Velocity-Initial\:Velocity}{Time}[/tex]
Putting value in the formula and finding acceleration:
[tex]Acceleration=\frac{Final\:Velocity-Initial\:Velocity}{Time}\\Acceleration=\frac{25-65}{10}\\Acceleration=\frac{-40}{10}\\Acceleration=-4\:ms^{-2}[/tex]
So, acceleration of object is -4 ms⁻²
Of the 300 television sets sold at an electronics store last month, 90 were flat screen TV's. What is the ratio of flat-screen TV's to other TV's sold last month?
I don't know how to do this. I would appreciate some help. thanks!!
Answers
Answer:
300 television sets total
300 - 90 flat screens = 210
flat screens 90:210 other TVs
now divide each side of the ratio by a common factor to simplify. I'm going to use 30
flat screens 3:7 other TVs
this cannot be simplified any further so the ratio is
flat screens 3:7 other tvs
Jocelyn walks her dog 5 days each week.Each Walk is 2 1/4 miles long. What is the total number of miles that Jocelyn walks her dog each week
Answers
Answer:the answer is c
Step-by-step explanation:
I’ll give brainlest if you help me with this!
Answers
Answer:
4 because -2x4 is -8 then -5x4 is -20, then you do -8 minus -20 and you get 16, there ya go! :D
Step-by-step explanation:
What is the slope the line that passes through the points (-1, 3) and (1, -7)?
a. -5
b. 0
c. 4
d. undefined
Answers
Answer:
-5 <3
Step-by-step explanation:
Consider the sequence 3, 9, 15, 21, ...
Enter numbers in the boxes to represent the second term as an ordered pair.
Answers
Answer:
(2, 9)
Step-by-step explanation:
I took the quiz
The number that represents the second term as an ordered pair is (2, 9)
Given that,
The sequence is 3, 9, 15, 21, ...Sequence:Based on this, we can say that the second term should be 2,9learn more about the sequence here: https://brainly.com/question/21961097?referrer=searchResults
Increase £19028.42 by 9.5%
Give your answer rounded to 2 DP
Answers
What is the monthly fee for Jessica's plan if she does not send any text messages? Show your work.
Answers
Answer:
1.42
Step-by-step explanation:
50÷35=1.42
What is the scale factor of the dilation shown?
Answers
can yall help me please im failing.
Answers
Answer:
a
Step-by-step explanation:
add equations in order to slove for the first variable. plug this value into other equations in order to solve for the remaining variables
Answer:
(-1/2,5) is the answer
... 948x47929=45,436. It’s already answered so guess wht tht means!!!!
Answers
Answer:
45436
Step-by-step explanation:
please help i will mark branliest and rank up
Answers
Answer:
C 2 and 7 are interior angles
Step-by-step explanation:
Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal.
PLZ HELP IGNORE THE 50 thought
Answers
Answer:
Step-by-step explanation:
4x + 2x + 6 = 90
6x + 6 = 90
6x = 90 - 6
6x = 84
x = 84/6
x = 14
I WILL GOVE BRAINLIEST!!!
Answers
Answer:
First of all make me as branlist answer then I will surely send it