This is a very hard math question. Whoever answers correctly will get a brainlist too! Find the value of b. Then find the angle measures of the pentagon.
Answers
Answer:
Below
Step-by-step explanation:
The sum of the 5 angles is 540°
● b+(b+45)+90+(2b-90)+(3/2)b = 540
3/2 is 1.5
● b+b+45+90+2b-90+1.5b = 540
● 2b +45+2b+1.5b = 540
● 5.5 b +45 = 540
● 5.5b = 495
● b = 495/5.5
● b = 90°
Answer:
b = 90
Step-by-step explanation:
b + (b + 45) + 90 + (2b - 90) + (3/2)b = 540
b + b + 45 + 90 + 2b - 90 + (3/2)b - 90 = 540 - 90
b + b + 45 + 2b - 90 + (3/2)b = 450
2b + 2b + (45 * 2) + (2 *2b) - (90 * 2) + (2 * (3/2)b) = 450 * 2
2b + 2b + 90 + 4b - 180 + 3b = 900
11b - 90 = 900
11b - 90 + 90 = 900 + 90
11b = 990
b = 990 / 11
b = 90
check:
b + (b + 45) + 90 + (2b - 90) + (3/2)b = 540
90 + (90 + 45) + 90 + (2*90 - 90) + (3/2)*90 = 540
90 + 135 + 90 + 90 + 135 = 540
540 = 540 --- OK
Related Questions
Solve for m 5m+35=70
Answers
Answer:
m=7
Step-by-step explanation:
subract 35 from both sides to isolate the variable. Then you should be left with 5m=35. From there, divide both sides to isolate the variable even more, and you should be left with m=35/5 which is 7.
Answer: m=7
Step-by-step explanation:
[tex]5m+35=70[/tex]
subtract 35 on both sides
[tex]5m+35-35=70-35[/tex]
[tex]5m=35[/tex]
divide 5 on both sides
[tex]35/5=7[/tex]
[tex]m=7[/tex]
3x + 4y = 14 x = 2y - 12 Which point satisfies both equations? A) (-2,-2) B) (-2,5) C) (-4,4) D) (2,2)
Answers
Answer:
B) (-2, 5)
Step-by-step explanation:
Perhaps easiest is to try the points to see what works. You can also graph the equations or solve by any of several other means.
Trying the points
A) 3(-2)+4(-2) = -6 -8 = -14 ≠ 14
B) 3(-2) +4(5) = -6 +20 = 14; -2 = 2(5) -12 = 10 -12 . . . . true
C) 3(-4) +4(4) = -12 +16 = 4 ≠ 14
D) 3(2) +4(2) = 6 +8 = 14; 2(2) -12 = -8 ≠ -2
__
Choice B ( -2, 5) is the only point that works in both equations.
Answer:
x = -2
y = 5
then:
B) (-2,5)
Step-by-step explanation:
3x + 4y = 14
x = 2y - 12
from te firs equation:
3x = 14 - 4y
x = (14-4y)/3
then:
2y - 12 = (14-4y)/3
3(2y-12) = 14 - 4y
3*2y + 3*-12 = 14 - 4y
6y - 36 = -4y + 14
6y + 4y = 14 + 36
10y = 50
y = 50/10
y = 5
from the second equation:
x = 2y - 12
x = 2*5 - 12
x = 10 - 12
x = -2
Check:
from the first equatión:
3x + 4y = 14
3*-2 + 4*5 = 14
-6 + 20 = 14
Y+y+y+y rewrite in multiplication
Answers
Answer:
4y
Step-by-step explanation:
y+y+y+y
= (1+1+1+1) y
= 4y
Answer:
4y
Step-by-step explanation:
Y+y+y+y
Combine like terms
4y
Hello, a quick question which number is least to greatest 0.359, 0.35, 1
Answers
Answer:
0.35, 0.359, 1
Step-by-step explanation:
0.359 = 359 thousandths
0.35 = 0.350 = 350 thousandths
1 = 1.000 = 1000 thousandths
Since 350 < 359 < 1000, then from least to greatest you get
0.35, 0.359, 1
What is the length of LM? (Question and answer choices provided in picture.)
Answers
Answer:
24√3
Step-by-step explanation:
cos∅ = adjacent over hypotenuse
Step 1: Use cos∅
cos30° = LM/48
Step 2: Multiply both sides by 48
48cos30° = LM
Step 3: Evaluate
LM = 24√3
Answer:
[tex]\large \boxed{24 \sqrt{3} }[/tex]
Step-by-step explanation:
The triangles are right triangles. We can use trig functions to solve.
cos θ = adj/hyp
Take the triangle KLM.
cos 30 = LM/KL
cos 30 = LM/48
Multipy both sides by 48
(48) cos 30 = LM/48 (48)
Simplify.
48 cos30 = LM
24√3 = LM
Alexander bought a box of crackers at the store. He ate half of the crackers in the box on Monday, and he ate 1/2 of what was left on Tuesday. On Wednesday, he ate 1/3 of what was left after he was finished eating the crackers on Tuesday.
1) What fractional part of the total crackers originally in the box did Alexander
eat on Wednesday?
2) what fractional part of the total crackers originally in the box are left. 3) if there are 4 crackers left in the box after Alexander finished eating crackers on wensday, how many crackers were in the box before it was opened. (Please help!)
Answers
Answer:
1. 1/12x
2.1/6x
3. 18
Step-by-step explanation:
Let
x=number of crackers in the box
On Monday, Alexander are 1/2 of the crackers
1/2 of x
=1/2x
Remaining
x-1/2x=2x-1/2
=1/2x
Tuesday=1/2 of what was left
=1/2 of 1/2x
=1/2×1/2x
=1/4x
Remaining
1/2x-1/4x
=2x-x/4
=1/4x
Wednesday=1/3 of what was left
=1/3 of 1/4x
=1/12x
Remaining
1/4x-1/12x
=3x-x/12
=2/12x
=1/6x
1. What fractional part of the total crackers originally in the box did Alexander eat on Wednesday?
1/12x
2. what fractional part of the total crackers originally in the box are left.
1/6x
3. if there are 4 crackers left in the box after Alexander finished eating crackers on wensday, how many crackers were in the box before it was opened.
1/6x=3
Divide both sides by 1/6
1/6x ÷ 1/6 = 3 ÷ 1/6
x=3÷1/6
=3 × 6/1
=18
x=18
Answer:
1) 1/12
2) 1/6
3) 18
Step-by-step explanation:
Can someone please explain the answers?
Answers
Answer:
3. Fifth degree polynomials are also known as quintic polynomials. Quintics have these characteristics: One to five roots. Zero to four extrema.
4. x = -5 or x = 0 or x = 5
Step-by-step explanation:
Solve for x:
6 x^5 - 150 x^3 = 0
The left hand side factors into a product with four terms:
6 x^3 (x - 5) (x + 5) = 0
Divide both sides by 6:
x^3 (x - 5) (x + 5) = 0
Split into three equations:
x - 5 = 0 or x^3 = 0 or x + 5 = 0
Add 5 to both sides:
x = 5 or x^3 = 0 or x + 5 = 0
Taking cube roots gives 0 times the third roots of unity:
x = 5 or x = 0 or x = 0 or x = 0 or x + 5 = 0
Subtract 5 from both sides:
x = 5 or x = 0 or x = 0 or x = 0 or x = -5
There are {2} duplicate solutions:
Answer: x = -5 or x = 0 or x = 5
Write an expression for two times the difference of eight and d.
Answers
Answer:
The answer is
2( 8 - d)Step-by-step explanation:
From the question difference in the statement means subtraction
So the statement
two times the difference of eight and d is written as
2( 8 - d)Hope this helps you
Answer:
the answer is 2( 8 - d) I got the same answer and got it right
Step-by-step explanation:
Solve : (i) 5x+3/4 - 2x-4/3 = 5 (ii) 3(x+5) - 2(3x-1) = 15
Answers
Answer:
(i) x = 67/4
(ii) x = 2/3
Step-by-step explanation:
(i)
5x + 3/4 - 2x - 4/3 = 5 add like terms
3x -7/12 = 5
3x = 5 + 7/12 ➡ 3x = 67/12 and x = 67/4
(ii)
3(x+5) - 2(3x-1) = 15 ➡ 3x + 15 - 6x + 2 = 15 add like terms
17 - 3x = 15
2 = 3x and x = 2/3
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU K NOW THE ANSWER!!
The entire group of objects or individuals under consideration in a survey is the ________________.
A. population
B. establishment
C. corporation
D. entity
Answers
Answer:
A: population
Step-by-step explanation:
Um its just the definition of the word i think.
Population: a collection of persons, things, or objects under study.
Anybody good in pre Calculus and know how to do #3 or #4?
Answers
Answer:
3. 0
4. n = -2
Step-by-step explanation:
I haven't taken pre-calc but this looks a lot like algebra.
For #3, just plug in -2 for the x values, so:
x^2 + 4x +4
(-2)^2 + 4(-2) + 4
= 4 - 8 + 4
= 0
For #4, move the variables to one side and solve( im not sure what the pi is for tho, or is that a n?):
5n + 6 = -3n - 10
add 3n to both sides
8n + 6 = -10
subtract 6 from both sides
8n = -16
divide both sides by 8
n = -2
Someone please helppp
Answers
Answer:
Option B is the right answer.
Step-by-step explanation:
x ^2 -7x+12 = (x-4)(x-3)
so, if we put x=3 or 4 than it will be undefined. hope u understand.
The perimeter of a rectangle is 102 inches. The length is 5 inches greater than the width.
Answers
Answer:
w = 23
l = 28
Step-by-step explanation:
w = width
l = w+5
P = 2 (l+w)
102 = 2( w+5+w)
102 = 2(2w+5)
Divide each side by 2
51 = 2w+5
Subtract 5
46 = 2w
Divide by 2
23 = w
The width is 23 and the length is 23+5 = 28
Answer:
Length=28
Width=23
Step-by-step explanation:
All I did was basically trial and error, to be honest.
tìm 2 số liên tiếp biết tích của chúng là 9120
Answers
Câu trả lời
Số một = 95
Số hai = 96
Giải thích
Số một = x
Số hai = x + 1
x * (x + 1) = 9120
x ^ 2 + x - 9120 = 0
(x + 96) (x - 95) = 0
x = 95 (-96 không có câu trả lời)
Số một = 95
Số hai = 96
(Xin lỗi nếu văn bản xấu, tôi đang sử dụng công cụ dịch thuật)
What is the GCF of 12a^4b^2 - 3a^2b^5 ??
Answers
hope it helps~
solve the equation
x/3+y/4=4
Answers
Answer: [tex]y=-\dfrac{4}{3}x+16[/tex]
Step-by-step explanation:
[tex]\dfrac{x}{3}+\dfrac{y}{4}=4\\\\\\\text{Multiply everything by 12 to eliminate the denominator:}\\\dfrac{x}{3}(12)+\dfrac{y}{4}(12)=4(12)\\\\4x+3y=48\\\\\\\text{Subtract both sides by 4x:}\\3y=-4x+48\\\\\\\text{Divide everything by 3:}\\y=-\dfrac{4}{3}x+16[/tex]
A spinner contains 3 equal sections: one red, one yellow, and one blue. The possible results of two spins are shown in the tree diagram below. What is P(red, then yellow)?
Answers
1/9
3 x 3 = 9 (since it is spun twice)
1/9
----------------------------------------------------------------------------
Answer:
1/9
Step-by-step explanation:
Probability of spinning a red = 1/3
Probability of spinning a yellow = 1/3
So Probability of getting red and then yellow = 1/3 x 1/3 = 1/9
find the difference 4 - 15
Answers
first 15- 4= 11
in question they gave 4-15 so
-11
Determine if the ordered pair (6, 4) is a solution to the inequality
Answers
Answer:
[tex]\Large \boxed{\mathrm{Option \ D}}[/tex]
Step-by-step explanation:
(6, 4)
x = 6 and y = 4
y > -1/2x + 7
Plug in the values to check if it is true.
4 > -1/2(6) + 7
4 > -3 + 7
4 > 4
This statement is false.
(6, 4) lies on the line.
What are the solutions to the quadratic equation 4x2 = 64? A. x = −16 and x = 16 B.x = −8 and x = 8 C.x = −4 and x = 4 D.x = −2 and x = 2
Answers
Answer:
x = ±4
Step-by-step explanation:
4x^2 = 64
Divide each by 4
4x^2 /4= 64/4
x^2 = 16
Take the square root of each side
sqrt(x^2) = ±sqrt(16)
x = ±4
Answer:
[tex]\boxed{\boxed{x=\pm 4}}[/tex]
Step-by-step explanation:
[tex]4x^2 = 64[/tex]
Divide both sides by 4.
[tex](4x^2)/4 = 64/4[/tex]
Simplify.
[tex]x^2 =16[/tex]
Take the square root on both sides.
[tex]\sqrt{x^2 } =\pm \sqrt{16}[/tex]
Simplify.
[tex]x=\pm 4[/tex]
answer it answer it answer it
Answers
Answer:
22.5º
Step-by-step explanation:
The angle of one shaded part and one unshaded part is 90º
We have shaded part ([tex]s[/tex]) and unshaded part ([tex]u[/tex])
[tex]90\º = u+s[/tex]
[tex]$u=\frac{s}{3} $[/tex]
[tex]$90\º = \frac{s}{3} +s$[/tex]
[tex]$90\º = \frac{s}{3} +\frac{3s}{3} $[/tex]
[tex]$90\º = \frac{4s}{3} $[/tex]
[tex]$270\º = 4s $[/tex]
[tex]s=67.5\º \implies u=22.5\º[/tex]
Answer: 22.5º
Step-by-step explanation:
Which graph shows a linear function?
Answers
Answer:
the bottom
Step-by-step explanation:
Answer: the second one
Step-by-step explanation:
E campsite shop also sells boxes of Pick-Me-Up teabags. The base of each box is a 120 mm square. The shelf where the boxes are displayed is a 65 cm x 35 cm rectangle. Work out the maximum number of boxes that will fit on the shelf.
Answers
Answer:
The maximum number of boxes that will fit on the shelf = 189 boxes
Step-by-step explanation:
First, to harmonize the units of the dimensions given, let us convert the unit of the Pick-Me-Up teabags to cm.
1 cm = 10mm
1mm = 0.1cm
∴ 120mm = 0.1 × 120 = 12cm
Therefore, the base of each box is 12cm²
Next, let us calculate the area of the shelf.
Dimension of shelf = 65cm × 35cm
∴ Area of shelf = 65 × 35 = 2275cm²
Therefore, to calculate how many boxes will fit into the shelf, we will divide the area of the shelf by the area of the boxes of Pick-Me-Up teabag. This is shown below.
Area of shelf = 2275cm²
Area of boxes = 12cm²
Number of boxes that will fit on the shelf = Area of shelf ÷ Area of boxes
= 2275 ÷ 12 = 189.58 boxes
since there are no fractional boxes, we will round down to the nearest whole number of boxes.
Hence, the maximum number of boxes that will fit on the shelf = 189 boxes
Please help correct answer gets brainliest.
Answers
Answer:
C. The charge of each minute of a call is $0.40
Step-by-step explanation:
We look at the point (1, 0.4)
We know that our x = 1 is 1 minute of the call.
We know that y = 0.4 is the cost when 1 minute of the call has elapsed.
Therefore, our answer is C.
Answer:
Step-by-step explanation:
The answer is (c)
The price goes up $0.40 every minute Greg is on a call.
an obtuse angle is an angle which is _______
Answers
Answer:
an obtuse angle is an angle that is more than 90 degrees
Step-by-step explanation:
Can you help me solve this problem & write my answer in simplest radical form.
Answers
Answer:
18
Step-by-step explanation:
30-60-90 triangles have a set of x values that you can plug your numbers into.
we know that the side length opposite to 30 is x
the side length opposite to 60 is xsqrt3
the side length opposite to 90 is 2x
from this we can gather that y=2x where x=9 therefore y=18
What is the maximum degree of a reflex angle
Answers
Answer:
Less than 360 degree
Step-by-step explanation:
I think so
Can someone help me on this ASAP it’s very tricky
Answers
Well the two equations are in y=mx+b form, also known as slope-intercept form.
The slope for the first equation is 5/6. The slope for the second is -4/3. Its very simple. We say that x is 0 for example...
When X = 0...
First equation: Y=7
Second Equation: Y=-6
On the graph you plot (x,y) (0,7) on the graph. so on the Y axis, put a dot at 7. This is for the first equation. We can say x is 6 also, and then the answer is -1.
So the second point is (6,-1).
FIRST EQUATION ONLY: Plot (0,7), (6,-1)
For the second I wont be elaborate as much but its (0,-6), (3,-10)
Brainiest/Heart if helpful!
Answer:
(-6, 2)
Step-by-step explanation:
When you graph [tex]y=\frac{5}{6} x+7[/tex], you get the red line.
When you graph [tex]y=-\frac{4}{3} x-6[/tex], you get the blue line.
The answer is the point they intersect, or cross. That would be (-6, 2).
I hope this helps!
pls ❤ and mark brainliest pls!
Need help pleases 5 stars
Answers
Answer:
The third option is the correct answer
Step-by-step explanation:
I am a 100% sure.
Hope this helps....
Have a nice day!!!!
the tripled product of 12 and a number is 102. what is the number
Answers
Answer:
Step-by-step explanation:
Let
The known number = 12
The unknown number = x
Result = 102
Product of 12 and a number= 12*x
= 12x
Tripled product of 12x= 3(12x)
=36x
36x = 102
Divide both sides by 36
x = 102/36
= 2.833
x=2.833