Given:
One side = 8x-10
Another side = 2(x+1)
To find:
The perimeter of the pentagon.
Solution:
We know that, all five sides of a regular pentagon are equal.
[tex]8x-10=2(x+1)[/tex]
[tex]8x-10=2x+2[/tex]
[tex]8x-2x=10+2[/tex]
[tex]6x=12[/tex]
Divide both sides by6.
[tex]x=2[/tex]
Now, the length of each side of the pentagon is
[tex]Side=8(2)-10[/tex]
[tex]Side=16-10[/tex]
[tex]Side=6[/tex]
We know that, perimeter of a regular pentagon is
[tex]P=5a[/tex]
Where, a is the side length.
[tex]P=5(6)[/tex]
[tex]P=30[/tex]
Therefore, the perimeter of the regular pentagon is 30 units.
4(f + 1) = 12
what does f equal
Answer:
f=2
Step-by-step explanation:
4(f+1)=12
4f+4=12
-4 -4
4f=8
f=2
Answer
F = 2
Step-by-step explanation:
Distributive property: 4f+4=12
-4 -4
Subtraction property of equality: 4f=8
/4. /4
Division property of equality: f=2
The extended ratio of the sides of a triangle is 7:8:10. The perimeter of the triangle is 275 cm. How many centimeters is the LONGEST side of the triangle?
Answer:
Longest side = 110 cm
Step-by-step explanation:
The extended ratio of the sides of a triangle is 7:8:10
Let sides are 7x, 8x and 10x.
The perimeter of the triangle is 275 cm.
Perimeter of a triangle = sum of all sides
7x+8x+10x = 275
25x = 275
x = 11
Longest sides of the triangle = 10x
= 10 (11)
= 110 cm
So, the longest side of the triangle is 110 cm.
Question 7 of 10
What is the solution to this equation
Answer:
x = 4
Step-by-step explanation:
x + 4(x+5) = 40 (Given)
x + 4x + 20 = 40 (Distribute the 4 into the x and 5)
5x + 20 = 40 (Add like terms)
5x = 20 (Subtract 20 on both sides)
x = 4 (Divide 5 on both sides)
Please help this is due tomorrow help
Answer: $4.50
Step-by-step explanation:
6+6+3.5= 15.5 paid with a 20 so 4 dollars and 50 cents change
Answer:
Step-by-step explanation:
Since Aiden paid only the admission price not the skate rental price soo..
3.50 for himself and 6*2 =12 for his friends
3.50+12=15.50
20-15.50 = 4.50 in change :)
In the accompanying diagram, parallel lines ĀB and CD are cut by transversal EF. If
mZ2 = 72, what is mZ 1?
someone help?!
Answer:
They are co interior angle . so mZ 1 is 72 itself
Alex wants to buy a video game that sells for $59.99. An advertisement says that next week that video game will be on sale for $47.50. How much will Alex save if he waits until next week to buy the video game?
A $8.51
C $12.49
B $7.49
D $107.49
This is just simple subtraction, 59.99 - 47.50
The answer is C: 12.49
An online file storage site offers a payment plan where users
can pay for a year membership in twelve equal payments.
If Manny paid $7.95 per month, how much did he pay in full
for the year?
Answer: 95.40
Step-by-step explanation:
7.95*12=95.40
A 12 ft ladder is leaning against a wall with an angle of elevation of 31.2 degrees. How high up the wall will the ladder reach? Round to the nearest tenth and show work..
Answer:
12/sin90'=b/sin67'
12sin67'=bsin90'
b=12sin67/sin90'
Step-by-step explanation:
sister ,we can use the law of sines. since we have the angle of elevation and assume the wall makes a right angle with the ground, our angle opposite the ground is 180-[90+23=67
hope this is helpful for you
A 3-pack of raffle tickets costs $5.76. What is the unit price
Answer:
1.92
Step-by-step explanation:
to find the unit cost you just divide 5.76 by 3
5.76/3 = 1.92
Answer: 72
i looked it up it so it should be right
Joe spent half of his weekly allowance at the movies. To earn more money his parents let him wash the dog for $4. What was his weekly allowance if he ended with $12
Answer:
take away the extra earning
12-4= 8
multiply what is left by 2
8 * 2 = 16
$16
Help me solve this problem please
Answer:
C
Step-by-step explanation:
It goes up as it goes right so not A or B. Not D as it is a straight line.
Suppose you want to use elimination to solve this system.
3x +11y = -1
(4x + 8y
= 6
By what numbers would you need to multiply the two equations in order to eliminate y? By what
numbers would you need to multiply the two equations in order to eliminate x instead? Drag and drop
the correct numbers and words into the boxes to complete the explanation.
You could multiply the first equation by
and the second equation by
and
then
the resulting equations to eliminate y. You might choose to eliminate x instead. To
do this, you would multiply the first equation by and the second equation by
and then
the equations.
4
-8
-4
add
11
-11
3
subtract
-3
8
If you want to eliminate x than multiply equation 1 by 4 and equation 2 by 3 and subtract them or,
If you want to eliminate y than mutiply equation 1 by 8 and equation 2 by 11 and subtract them.
-2x+5y=7
2x-5y=-7 What is the solution?
Please Answer the 3 questions in the picture
1.Proportional reasoning compares ratios to answer questions. We can use proportional reasoning to solve some questions directly, such as which size of laundry detergent is the cheapest per load, or what the dimensions of the model car should be.
3.The question is how many ways
There are as a many ways to solve a math problem as you can think of.(Some are shorter or easier than others.)
Essentially, an innfinite number.
sorry I have no idea other questions
What is the answer to B at the bottom?
Answer:
Step-by-step explanation:
A) For the city of Everettt, y-intercept represent the number of chrome books they started with.
y - intercept = 550
Everett started the 2016 year with 550 chrome books
B) y = 50x + 300
Explanation: They stared with 300 books at 2016. This will be the y-intercept
Rate of change = 50 books per year which will the slope
m = 50 and b = 300
y = mx + b
y = 50x + 300
Hint: y- intercept is where x-coordinate =0
Determine whether the lines, 2x – y = 7 and y = – 1/2x – 10 are parallel or perpendicular . Explain the reason for your answer.
Answer:
perpendicular
Step-by-step explanation:
a line is perpendicular to another line when m of one line is the negative or opposite reciprocal of the other. m= 2
the perpendicular lines for that would be 1/2 which is the reciprocal and then the opposite sign which is negative.
What is the greatest possible whole number value of a congruent side lengths?
A. 9cm
B. 10cm
C. 14cm
D. 15cm
Answer:
C. 14cm
Step-by-step explanation:
The square of the longest line, in an obtuse triangle, is greater than the sum of the squares of the other two sides. So it is appropriate for equivalent legs to have a length
L^2 + l^2=2l^2
14^2+14^2=20^
196+196=400
392=400 400
The result: 14cm
Gabby needed to type up 12 documents during the week. By Wednesday, she only finished 3 1/5 documents. On Thursday, she finished another 5 3/4 documents. If she finished writing all documents by Friday, how much did she write on Friday?
Answer: She wrote [tex]3\dfrac{1}{20}[/tex] documents on Friday.
Step-by-step explanation:
GIven: Total documents needed to be done = 12
If she finished writing all documents by Friday, then the number of documents written on Friday = 12-(work done by Wednesday) - (work done on Thursday)
[tex]= 12 -(3\dfrac15)-(5\dfrac34)\\\\=12-\dfrac{16}{5}-\dfrac{23}{4}\\\\=\dfrac{12\times20-16\times4-23\times5}{20}\\\\=\dfrac{240-64-115}{20}\\\\=\dfrac{61}{20}\\\\=3\dfrac{1}{20}[/tex]
Hence, She wrote [tex]3\dfrac{1}{20}[/tex] documents on Friday.
The product of -3 and a number a is at least -24
Answer:
wouldn't it be -3 * 8 = -24
Step-by-step explanation:
also I love your pfp
Answer:
8
Step-by-step explanation:
-24/-3 = 8
if MNP = 107, what is NMQ
The measure of angle NMQ is 73 degrees
The given parameter is:
[tex]\angle MNP = 107[/tex]
From the given figure, angles MNP and NMQ are adjacent angles.
Given that the adjacent angles of a trapezoid add up to 180 degrees.
We have the following equation
[tex]\angle MNP + \angle NMQ = 180[/tex]
Make NMQ the subject
[tex]\angle NMQ = 180 -\angle MNP[/tex]
Substitute 107 for MNP
[tex]\angle NMQ = 180 -107[/tex]
[tex]\angle NMQ = 73[/tex]
Hence, the measure of angle NMQ is 73 degrees
Read more about adjacent angles at:
https://brainly.com/question/1149840
Listen
How many unique triangles can be formed with two side lengths of 10 centimeters and one 40° angle?
Enter a number in the box.
Answer:
2 unique triangles
Step-by-step explanation:
We can only form two triangles
Since two of the sides are equal, we can form two isosceles triangles
The first one will have 10, 10 , the last side, then 40, 70 , 70 as the internal angles
Just note that the angles must add up to be 180 and that there are two equal angles as we are dealing with an isosceles triangle
The second form is 10, 10 , 40 , 40 and 100
Here, we have the 40 on the sides of the base of the isosceles triangle with the measure 100 being the last angle
The number of unique triangles that can be formed with he given parameters are; 2
We are told that;
Two side lengths of the triangle = 10 cm
One angle = 40°
This means the that the triangle can be an isosceles triangle.Now, the two equal angles could be 40° each.
Sum of angles in a triangle = 180°Thus;
Third angle of the triangle = 180 - 2(40) = 100°
Now,if we assume that the 40° is not the equal angle, then it means that the equal angle will be;(180 - 40)/2 = 140/2
>> 70°
Thus, we can make 2 unique isosceles triangles.
Read more about Isosceles triangle at; https://brainly.com/question/24371813
WHOEVER ANSWERS FIRST GETS BRAINLIEST AND I NEED AN EXPLANATION PLZ
Answer:
3x+17
Step-by-step explanation:
2(2x+6) - x + 5--->distibutive property
(4x + 12) -x + 5
3x + 17, you were correct
Answer:
3x + 17
Step-by-step explanation:
the distributive property in the parentheses and then use PEMDAS
HELP NOW PLEASEEEEEEEEEEEE ANSWER NEEDS TO B POSITIVE
Answer:
1
Step-by-step explanation:
So first we do (x^5)^2 which we know is just x^10 because of exponents of powers I believe it's called, basically you just multiply the two powers.
Then you do the bottom half which is x^3 * x^7 and that equals x^10 because of the product of exponent rule,
Then we do x^10/x^10 which = 1 because the same number over the same number is always 1.
Let me know if you have any questions
Answer:
Solving the expression: [tex]\frac{(x^5)^2}{(x^7)(x^3)}[/tex] the answer is 1
Step-by-step explanation:
We need to solve the expression: [tex]\frac{(x^5)^2}{(x^7)(x^3)}[/tex]
We know that exponent rule: [tex](a^m)^n=a^{m*n}[/tex]
Applying this rule in numerator
[tex]\frac{(x^5)^2}{(x^7)(x^3)}\\=\frac{(x^{5*2})}{(x^7)(x^3)}\\=\frac{(x^{10})}{(x^7)(x^3)}[/tex]
We know the exponent rule: [tex](a^m).(a^n)=a^{m+n}[/tex]
[tex]=\frac{(x^{10})}{x^{7+3}}\\=\frac{(x^{10})}{x^{10}}[/tex]
Now, using the exponent rule: [tex]\frac{a^m}{a^n}=a^{m-n}[/tex]
[tex]=x^{10-10}\\=x^0[/tex]
We know that [tex]a^0=1[/tex]
So, [tex]x^0=1[/tex]
Solving the expression: [tex]\frac{(x^5)^2}{(x^7)(x^3)}[/tex] the answer is 1
which expressions are equal ?
Answer:
Step-by-step explanation:
Options B and D are correct as they are equal to 1728
a One-Step Equation- x + 6 = -10
Answer:
-x + 6 = -10
-x = -10 - 6
- x = -16
x = 16
Answer:
-16
Step-by-step explanation:
x = -16
-10 - 6 = -16
-16 + 6 = -10
In the evening, the golf course discounts a round of golf by 35%. What percent of the normal price do you pay if you play in the evening?
Answer:
65%
Step-by-step explanation:
100 = 35 = 65
Justin is 2 years older than one third Marcella's age. Aimee is is four years younger than 2 times Justin's age. Define a variable and write an expression to represent Justin's age. Then find Justin's age and Aimee's age is Marcella is 63 years old.
Answer:
M x 1/3 + 2. The variable is Marcella's age. If Marcella is 63, one third of her age is 21 so 21+2 = Justin is 23. Aimee is 23x2-4 so she is 62 years old.
Step-by-step explanation:
4x+1=2x-5 show all steps and solve for x
Answer:
x = -3
Step-by-step explanation:
4x + 1 = 2x - 5
~Subtract 1 to both sides
4x = 2x - 6
~Subtract 2 to both sides
2x = -6
~Divide 2 to both sides
x = -3
Best of Luck!
Final Answer: [tex]x = -3[/tex]
Steps/Reasons/Explanation:
Question: Solve [tex]4x + 1 = 2x - 5[/tex].
Step 1: Subtract [tex]2x[/tex] from both sides.
[tex]4x + 1 -2x = -5[/tex]
Step 2: Simplify [tex]4x + 1 - 2x[/tex] to [tex]2x + 1[/tex].
[tex]2x + 1 = -5[/tex]
Step 3: Subtract [tex]1[/tex] from both sides.
[tex]2x = -5 - 1[/tex]
Step 4: Simplify [tex]-5 - 1[/tex] to [tex]-6[/tex].
[tex]2x = -6[/tex]
Step 5: Divide both sides by [tex]2[/tex].
[tex]x = -\frac{6}{2}[/tex]
Step 6: Simplify [tex]-\frac{6}{2}[/tex] to [tex]-3[/tex].
[tex]x = -3[/tex]
~I hope I helped you! :)~
Need help ASAP!! I’m super bad at rounding!! What’s the number 838 rounded to the hundreds place???
Answer:
838 that is already rounded to the hundred place....
Step-by-step explanation:
Answer:
800
Step-by-step explanation:
because if it is less than 50 it goes to the original number and if it is 50 or above it goes up
Translate the following statement to an inequality. Then, find the solution.
Three times the sum of a number and five is greater than or equal to negative six.
n ≥ -7
n ≥ -3
n ≤ -7
n ≤ -3
Answer:
3(n+5) ≥ -6
n ≥ -7
Step-by-step explanation:
3(n+5) ≥ -6
3n+15 ≥ -6
3n ≥ -21
n ≥ -7
Answer:
by solving the inequality you will get :
c. n =< -7
Step-by-step explanation:
here's the explanation in attached picture