a)
be
85°
120°
(2x - 10°
X
Let's see what to do buddy...
_________________________________
Step (1)
We know that the sum of the interior angles of any n-sided figure is obtained from the following equation :
[tex](n - 2) \times 180[/tex]
Our figure has 5 sides ;
So , sume the interior angles of it equals :
[tex](5 - 2) \times 180 = 3 \times 180 = 540 \\ [/tex]
_________________________________
Step (2)
First look at the photo which I post.
According it we have :
[tex](180 - x) + 120 + 85 + (2x - 10) + 90 = 540 \\ [/tex]
[tex]2x - x + 475 - 10 = 540[/tex]
[tex]x + 465 = 540[/tex]
Subtract the sides of the equation minus 465 :
[tex]x = 540 - 465[/tex]
[tex]x = 75[/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
como resolver a equação -7. (x-3)=x +5
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
[tex]-7(x-3)=x+5[/tex]
Distribute the [tex]-7[/tex] into [tex](x-3)[/tex]:
[tex]-7x+21=x+5[/tex]
Subtract [tex]x[/tex] from both sides of the equation:
[tex]-8x+21=5[/tex]
Subtract [tex]21[/tex] from both sides of the equation:
[tex]-8x=-16[/tex]
Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]-8[/tex]:
[tex]x=2[/tex]
_
Check your work by substituting [tex]2[/tex] into the initial equation:
[tex]-7(2-3)=2+5[/tex]
[tex]-14+21=2+5[/tex]
[tex]7=7[/tex]
The answer is correct!
The area of a square poster is in.. Find the length of one side of the poster to the nearest tenth of an inch.
Answer:
i dont quite understand the question :(
Step-by-step explanation:
whatever the area is, divide that by 4 and that should be the length, hope this helps !!
need helppppp!!!! I'll brainlist quickkkk
Answer:
7a is 24
bis 18
c is -15
Step-by-step explanation:
7a. 2(3)+3(6)
6+18=
24
7b. 6(6)-(3)(6)
36-18=
18
7c. 3(3)-4(6)
9-24=
-15
Me up rich goes to the skate park and tents a skateboard for 4.00 per hour they make him rent a helmet for one time 6.00 fee if he only has $30 to spend at the park then select the equation that can be used to calculate h the number of hours he can rent the skateboard
Let, x be the maximum hours he can rent skate board and helmet.
So, total price :
T = 4x + 6x
Now, it is given that he has only $30.
Therefore,
Total price should be less than or equal to $30.
4x + 6x ≤ 30
10x ≤ 30
x ≤ 3
Therefore, the maximum number of hours he can rent the skateboard is 3 hours.
Hence, this is the required solution.
Refer to the table below if needed.
Second Quadrant Third Quadrant Fourth Quadrant
sin(180 -) = sin sin(180 +) = - sin sin(360 -) = - sin
cos(180 -) = - cos cos(180 +) = - cos cos(360 -) = cos
tan(180 -) = - tan tan(180 +) = tan tan(360 -) = - tan
cot(180 -) = - cot cot(180 +) = cot cot(360 -) = - cot
sec(180 -) = - sec sec(180 +) = - sec sec(360 -) = sec
csc(180 -) = csc csc(180 +) = - csc csc(360 -) = - csc
Evaluate, using the tables if necessary.
sec 180 + sin 270 - tan 180 + cot 270
0
-1
-2
Answer:
12
Step-by-step explanation:
y=c that make 0 and then i mulitply -1 to -12
then i did the opposite for 360 time -12 that 700 and then i devided and got 12
The resulting value for the given sum of trignometry identity is -2
Trigonometry identityTrigonometry identity are written in tems of sine, cosine and tangent
According to the trigonometry identity
sec theta = 1/costheta
cot theta = 1/tantheta
Given the trigonometry expression
sec 180 + sin 270 - tan 180 + cot 270
This can also be written as;
1/cos180 + sin270 - tan 180 + 1/tan270
= -1/cos0 + (-sin90) - tan0 +1/tan90
= -1 - 1 - 0 +1/∞
= -1 -1 + 0
= -2
Hence the resulting value for the given sum of trignometry identity is -2
Learn more on trigonometry here: https://brainly.com/question/24349828
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Which equations represent the line that is parallel to 3x - 4y = 7 and passes through the point (-4,-2)? Select two
options
y=-3/4x+1
3x - 4y = -4
4x - 3y = -3
y-2 = -3/4(x - 4)
y+2 =3/4(x + 4)
Answer:
y = 3/ 4 x + 1
Step-by-step explanation:
4/5(2x+5)−4=1
4/5 is a fraction
Answer:
x = [tex]\frac{5}{8}[/tex]
Answer:
x = 5/8
Step-by-step explanation:
One and two step equations
Answer:
5 hours have passed.
Step-by-step explanation:
82 + 0.6x = 85
0.6x = 3
x 5
w=r-47/-4
if w=8 what is the value of r
Answer:
r=-15/4
Step-by-step explanation:
A quadratic function has its vertex at the point (6,10). The function passes through the point (7, – 4).
Find the quadratic and linear coefficients and the constant term of the function.
The quadratic coefficient:
The linear coefficient is:
The constant term is:
I’m confused
Answer:
Quadratic coefficient = -14, linear coefficient = 168, constant term = -494
Step-by-step explanation:
Its easiest to first start out with a vertex form equation because it can then be converted to a standard quadratic.
given a vertex at (6,10) , and point of intersection at (7,-4), the equation can be set up like this:
y = a(x-6)^2+10, because we know h and k from the vertex.
We also know y and x from the given point of intersection so a can be solved.
-4 = a(7-6)^2+10
-4 = a + 10
-4-10 = a
a = -14 which is also known as the quadratic coefficient because it is part of a second degree quantity and a Trionomial as a whole(quadratic).
since all the variables are known, you can
expand the equation and set it to standard form
y = -14(x-6)^2+10
y = -14(x^2-12x+36)+10
y = -14x^2+168x-504+10
y = -14x^2+168x-494
For reference, the standard form equation is ax^2+bx+c where a is the quadratic coefficient, b is the linear coefficient, and c is the constant coefficient.
In this instance, -14x^2+168x-494 = ax^2+bx+c
What is the definition of an irrational number????
If you answer to the best of your ability, you will be greatly valued. Ty:)
Answer:
the irrational numbers are all the real numbers which are not rational numbers.
Step-by-step explanation:
Jenifer bought 6 packages of hotdogs and 8 packages of rolls for $41.50. A package of rolls cost $0.85 less than a package of hotdogs. How much did each package of hotdogs cost?
Answer:
hotdogs 3.45
rolls 2.60
Step-by-step explanation:
6h + 8r = 41.5
r=h-.85
6h + 8(h-.85)=41.5
6h + 8h - 6.8 = 41.5
14h = 41.5 + 6.8
14h = 48.3
h=48.3/14
h=3.45
r=3.45-.85=2.6
Esther applies a translation of 4 units up and 6 units to the right to create W'X'Y'Z'. What are the coordinates of Z'?
Answer:
(3,2)
Step-by-step explanation:
solve the liner equation 3(2x-14)+x=15-(-9x-5)
PLEASE HELP! DO NOT PUT A SILLY AWSER I WILL REPORT YOU!
Answer:
x= -31
Step-by-step explanation:
Let's solve your equation step-by-step.
3(2x−14)+x=15−(−9x−5)
Step 1: Simplify both sides of the equation.
3(2x−14)+x=15−(−9x−5)
3(2x−14)+x=15+−1(−9x−5)(Distribute the Negative Sign)
3(2x−14)+x=15+−1(−9x)+(−1)(−5)
3(2x−14)+x=15+9x+5
(3)(2x)+(3)(−14)+x=15+9x+5(Distribute)
6x+−42+x=15+9x+5
(6x+x)+(−42)=(9x)+(15+5)(Combine Like Terms)
7x+−42=9x+20
7x−42=9x+20
Step 2: Subtract 9x from both sides.
7x−42−9x=9x+20−9x
−2x−42=20
Step 3: Add 42 to both sides.
−2x−42+42=20+42
−2x=62
Step 4: Divide both sides by -2.
−2x
−2
=
62
−2
x=−31
Answer:
give her brainliest
Step-by-step explanation:
Simplify the following numerical expressions.
|7| - 7 =
2|-7| =
(-7)^2 =
-7-|-7|=
-7-1-71=
Answer:
|7| - 7 = 0
2|-7| = 14
(-7)^2 = 49
-7-|-7|= -14
-7-1-71= -79
Step-by-step explanation:
Answer:
|7| - 7 = 0
2|-7| = 14
(-7)^2 = 49
-7-|-7|= -14
-7-1-71= -79
Step-by-step explanation:
please help me with this question!! thank you if you do:))
Answer:
C
Step-by-step explanation:
the residents of a city voted on whether to raise property taxes. the ratio of yes votes to no votes was 5 to 4. if there were 7713 total votes, how many yes votes were there ?
Answer:
The yes votes are 2485
Step-by-step explanation:
Yes: No.
5 :4. Total =9
X 857 (9x857=7713)
2485: 4328 Total=7713
Question 10 (5 points)
(02.05 LC)
What number is 80% of 90? (5 points)
Plz help
Last week, Travis and his brother, Wayne, rode their bikes on the same trail. Travis finished the trail several minutes before Wayne. This week, they plan to bike a trail around a lake. Who will likely complete the lake loop in less time?
Answer:
Travis
Step-by-step explanation:
Travis has previously shown himself to be faster than Wayne, thus he is most likely to still be faster.
A store sells a 33-pound bag of oranges for \$ 3.60$3.60 and a 55-pound bag of oranges for \$ 5.25$5.25. What is the difference between the price per pound for the 33-pound bag of oranges and the price per pound for the 55-pound bag of oranges?
Answer:
0.01364
Step-by-step explanation:
It is given that,
A store sells a 33-pound bag of oranges for $3.60 and a 55-pound bag of oranges for $5.25.
Price per pound of 33 pound bag is 3.60/33 = 0.10909 price per pound
Price per pound of 55 pound bag of oranges is 5.25/55 = 0.09545 price per pound
Difference between price per pound for the 33-pound bag of oranges and the price per pound for the 55-pound bag of oranges is :
D = 0.10909 - 0.09545
D = 0.01364
Therefore, this is the required solution.
Write this polynomial expression in its simplest form. Show your work.
Step-by-step explanation:
(3x² + 4x - 8) - (-2x² + 4x + 2)
[3 - (-2) = 5] , [ 4 - 4 = 0] , [ (-8) - 2 = -10]
5x² + 0x - 10
(or)
5x² - 10
Answer:
5x² - 6Step-by-step explanation:
Simplify
(3x² + 4x - 8) - (-2x² + 4x + 2) =3x² + 4x - 8 + 2x² - 4x - 2 =(3 + 2)x² + (4 - 4)x - (8 - 2) =5x² + 0x - 6 = 5x² - 6a rectangle has a width of 2x + 1 and a length of 6X which expression describes this area
Given parameters:
Width = 2x + 1
Length = 6x
Unknown:
Expression for the area = ?
Solution:
The area of a rectangle is the space it occupies,
Area of rectangle = length x width
Input the parameter and solve;
Area of rectangle = 6x(2x + 1)
= 12x² + 6x
The area of the rectangle is 12x² + 6x
Please help???
A coffee shop begins the day with 75 bagels and sells an average of 10 bagels each hour. Function b models the bagel inventory, b(x) , x hours after opening.
Answer:
i chose D
Step-by-step explanation:
because 0 is less than or equal to x and x is less than or equal to 75 ***** but use this answer at your own risk *****
The domain is the set of values for which the given function is defined. The domain of the given function is 0≤x≤7.5. The correct option is B.
What is the domain and range of a function?The domain is the set of values for which the given function is defined.
The range is the set of all values which the given function can output.
Given that function b model the bagel inventory, b(x), after x hours of opening, and it is given as,
b(x) = 75 - 10x
Now, the domain of the function is the values that x can take in the function. Since x represents the number of hours after opening, therefore, it can not be negative and must start with zero.
Further, since the inventory or the total number of bagels that the shop has is 75, therefore, they can not sell more than that, and at some point, the inventory will become zero. Therefore, we can write,
75 - 10x = 0
-10x = -75
10x = 75
x = 75 /10
x = 7.5 hours
Hence, the domain of the given function is 0≤x≤7.5.
Learn more about the Domain and Range here:
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this is really annoying. the notification thing keeps saying that I got messages but when I click on it there's nothing. I've gone to my inbox and everything but nothing is there and idk what to do lol
Answer:
THAT HAPPENS TO EVERYONE I PROMISE SO DONT BE ANNOYED
Step-by-step explanation:
I GET ANNOYED THO TOO
Answer: ikrrrrrrr
Step-by-step explanation:
Josephine and Edith both collect rubber-band bracelets. Josephine has 8 more than twice the
number of bracelets that Edith has. Which of the following equations best represents the
relationship between the amounts of Josephine's bracelets, j, and Edith's bracelets, e?
A e = 2 + 8
B j = 2e + 8
C 8 + e -2;
D8+ j = 2e
Answer:
b j=2e +8
Step-by-step explanation:
Josephine (j) has (=) twice the number 2 of (multiply) of Edith (e) plus 8 (more)
11. What is the solution to -2.5(4x-4)=-6?
Answer:
x=1.6
Step-by-step explanation:
8. Beatrice has 20 coins in quarters and nickels. The total value of her coins is $2.20. How many mickels and quartiers
does she have?
Answer:
40
Step-by-step explanation:
Answer:
6 quarters, 14 Nickels.
What is the inverse of the function
I typed the wrong answer and I cant delete so dont do it at all
if 1 pound = 16 ounces, what is the weight of the bananas ( 2.5 lbs ) in ounces.
Answer:
Hi there
Your answer is
40 ounces
Step-by-step explanation:
1lb = 16oz
2.5lbs = xoz
1lb = 16oz
*2.5
2.5lbs = 40oz