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°
At a given high school, the probability that a student is taking a geometry class is 0.24. The probability that a student is taking a chemistry
class and a geometry class is 0.18.
If a student is taking a geometry class, what is the probability that the student is also taking a chemistry class?
Answer:
0.24
Step-by-step explanation:
S=-100w+1050 X intercept
Answer:
i believe it’s 10.5
Step-by-step explanation:
A weather station on the top of a mountain reports that the temperature is currently 0°C and has been falling at a constant rate of −8°C per hour. What was the temperature 1 hour ago?
Answer:
Step-by-step explanation:
Absolute zero, the lowest temperature possible, is defined as being exactly 0 K and −273.15 °C. Until 19 May 2019, the temperature of the triple point of water was defined as exactly 273.16 k
How you Can find the area of a composite figure?
Answer:
Here are the steps to find the area of a composite figure.
1. Split the composite figure into simpler shapes.
2. Find the area of each of the simpler shapes.
3. Add the area of all the simpler shapes together.
4. You'll have the area of the composite figure.
Let me know if this helps!
-3+4b=3(b-2)
what do I have to do slove both sides
Answer:
b=-3
Step-by-step explanation:
distribute 3(b-2) and you get 3b-6.
-3+4b=3b-6
add 3 on both sides.
4b=3b-3
-3b on both sides
b=-3
4 2/3÷1 1/5 .......
Answer:
3 8/9
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
help. find the equation shown. negative
Answer:
i think (0,2)
Step-by-step explanation:
HELP ASAP PLS!!! 30 POINTS AND BRAINLEST IF UR RIGHT
ANSWER ALL FOUR TO GET BRAINLEST!!!!!!
Answer:
C,D,A,A
Step-by-step explanation:
Answer:
1. B
2. B
3. C
4. B
A group of friends wants to go to the amusement park. They have no more than $275 to spend on parking and admission. Parking is $5, and tickets cost $27 per person, including tax. Write and solve an inequality which can be used to determine r, the number of people who can go to the amusement park.
Answer:
275=27x+5
Step-by-step explanation:
10 people can go to the park
27(10)+5=275
simplify 9x + 18(2x - 6) + 13
Answer:
45x-95
Step-by-step explanation:
Step-by-step explanation:
9x + 36x - 108 + 13
45x - 95
It took 8 hours to drive 240 miles. At this rate, how long does it take to drive 90 miles?
Answer:
It will take 3 hours to drive 90miles.
Step-by-step explanation:
240miles/8hours=30miles/1 hr. 90miles/3hours
the perimeter of the rectangle is 333 cm. the ratio of the length to width is 2:7. what is the width of the rectangle?
A parent purchased a dictionary for $13.50 and a pack of printer paper for $4.50. The sales tax rate was 4%. What was the total bill, including the sales tax?
Answer:
$18.72
Hope this helps :)
Evaluate 0.5m + 1.2m when m = 4
Answer:6.8.
Step-by-step explanation: 0.5(4) + 1.2(4) 2 + 4.8= 6.8.
Help. me math 20 points
Answer:
1st angle will 60degree =90-60,. 1nd angle =60 degree.vertically opposite angle,
If / is a midsegment of , find TS. A. 5 B. 7 C. 10 D. 14 Please select the best answer from the choices provided A B C D
Answer:
The answer is b.7
Step-by-step explanation:
Because i had the question and got it right
Me.Lee ordered some pizzas to be delivered. The bill for the pizza was m dollars. Mr. Lee tipped the pizza delivery driver 15% of the bill. Write an expression for the total amount of money Mr. Lee paid
The expression would be: m + 0.15m and to know how much she paid I believe it would be 26.09 (rounded)
Enter a formula using k to connect the two variables.
F is proportional to a.
Please help
Answer:
Weres The Formula?
Step-by-step explanation:
Answer:
f=ka
Step-by-step explanation:
use the given functions to answer the question.
f(x)=x^2+2x-5
g(x)--3x^2-4x+1
what is f(x)-g(x)
-2x²-2x-4
Is the answer. I know because I took the test.
I NEED HELP
The table shows the measured dimensions of a prism, and the maximum and minimum possible values based on the greatest possible error. Find the percent error to the nearest percent. Hint: First determine the measured volume, then the maximum volume and the minimum volume.
A. 65%
B. 50%
C. 35%
Answer: 50% said the person up
Help pls 6th grade math
Answer:
x> or equal to 35. 36 is a solution.
Step-by-step explanation:
Find the values of x and y.
Answer:
x = 15; y = 21
Step-by-step explanation:
The vertical angles have the same measure.
The sum of the measures of the angles of a triangle is 180 deg.
Left triangle:
4y - 18 + y + 14 + 6x - 11 = 180 Equation 1
Right triangle:
6x - 11 + 81 + x + 5 = 180 Equation 2
Simplify Equation 1.
4y - 18 + y + 14 + 6x - 11 = 180
6x + 5y = 195 Equation 3
Simplify Equation 2.
6x - 11 + 81 + x + 5 = 180
7x = 105
Solve last equation for x.
7x/7 = 105/7
x = 15
Substitute 15 for x in Equation 3 and solve for y.
6x + 5y = 195
6(15) + 5y = 195
90 + 5y = 195
5y = 105
y = 21
Answer: x = 15; y = 21
Write an equation that is perpendicular to the line y = 5x - 1 and passes through the point (10, 8)
Answer:
y = -1/5 x + 10
Step-by-step explanation:
The equation of a line in point slope form is expressed as;
y - y0 = m(x-x0)
m is the slope
(x0, y0) is the point on the line
Given the equation y = 5x -1
Slope m = 5
Slope of the line perpendicular to the line will bw M = -1/5
Substitute into the equation
y - 8 = -1/5(x-10)
5(y-8) = -(x-10)
5y - 40 = -x+10
5y = -x+10+40
5y = -x+50
y = -1/5 x + 10
Hence the required equation is y = -1/5 x + 10
Leah leaves school to go home. She walks 5 blocks north and then 8 blocks west. How far is Leah from the school?
Answer:
13 Blocks Away From School
Step-by-step explanation:
5 + 8 Is 13
Answer: 13 blocks from school
Step-by-step explanation:
Substitution:
2x - y = 6
x + y = -3
Answer:
4 and for x+y is 2+1
Step-by-step explanation:
The radius of a circular sign is 12 inches. Equal parts of the sign are painted red and yellow. How many square inches are painted in each color? Use 3.14 for Pi
Answer:
226.08 square inches
Answer:
Step-by-step explanation:
First we find Area
12^2* 3.14= 452.16
Then we know that half of the sign is painted red and the other half is painted yellow
452.16 / 2 = 226.08
226.08 square inches is painted yellow and 226.08 square inches is painted red
I have no words... thank y’all so much!!❤️❤️✨✨
Answer:
The first one.
Step-by-step explanation:
0 is greater than -18
Can someone write logb(xy) as two logs (49 points)
Answer:
log b (xy) = log b (x) + log b (y)Step-by-step explanation:
Log of the product is equal to the sum of the logs
log b (xy) = log b (x) + log b (y)What’s the answer laaalalalalalaaaaaa
Answer: The slope is -1/2, the y-intercept is 4, and the equation is y=-1/2x+4
Step-by-step explanation:
Use an area model to solve.
Answer:
1 25/27
Step-by-step explanation:
1 1/3 x 1 4/9 =?
convert to total fractions:
4/3 x 13/9 = ?
multiply
52/27 = ?
reduce
1 25/27