Answers
Answer:
b = 90
Step-by-step explanation:
Sum the interior angles of the pentagon and equate to 540
Starting from the top and going clockwise
b + b + 45 + 90 + 2b - 90 + [tex]\frac{3}{2}[/tex] b = 540 ← simplify left side
[tex]\frac{11}{2}[/tex] b + 45 = 540 ( multiply through by 2 to clear the fraction )
11b + 90 = 1080 ( subtract 90 from both sides )
11b = 990 ( divide both sides by 11 )
b = 90
Thus
b + 45 = 90 + 45 = 135
2b - 90 = 2(90) - 90 = 180 - 90 = 90
[tex]\frac{3}{2}[/tex] b = [tex]\frac{3}{2}[/tex] × 90 = 135
The angle measure from the top clockwise are
90°, 135°, 90°, 90°, 135°
Related Questions
Erica opens a bank account to save for college. She makes an intial deposit of 3,000!Into an account that pays 3% interest compounded continuously the formula below is the appropriate model for the situation use it to determine how long it will take her to reach a balance of 8,400
Answers
Answer:
35 years
Step-by-step explanation:
A= P(1 + r)^n
A= $8400
r= 3%
n= ?
P= $3000
8400 = 3000(1 + 0.03)^n
8400/3000 = (1 + 0.03)^n
log2.8 = log (1.03)^n
log 2.8 = nlog 1.03
n=log 2.8/log 1.03
n= 35 years
Brianna is solving the equation -5 + 6(6x + 6) = 1 + 6x. Her steps are shown.
Step 1: -5 + 36x + 36 = 1 + 6x
Step 2: 36x + 41 = 1+ 6x
Step 3: 30x + 41 = 1
monts
sents
Step 4: 30x = -40
4
Step 5: x = -
3
A: Identify the first step in which Brianna made an error.
B: Write the correct solution to Brianna's original equation.
Answers
Answer:
Part A: Brianna made a error on step 2. Because it has to be + 31 not + 41 cause it is a -5+36
Part B: x= -1
Step-by-step explanation:
This is how it should have been done.
Step 1: -5+6(6x+6)= 1+6x
Step 2: -5+36x= 36=1+6x
Step 3: 36x+31= 1+6x
Step 4: 36x= 6x-30
Step 5: 30x= -30
Step 6: x= -1
What is a irrational number between 9.6 and 9.7
Answers
It would be 9.66266227228, since it couldn’t be expressed as a fraction
Brainliest 5 stars Thanks!
Answers
can someone help me plz
i need #6,7,8
Answers
7. subtract 3
x=(-2)
x=2
8. 8c-4=20
add 4
8c=24
divide 8
c=3
9.[tex]\frac{h+9}{5} =\frac{h-1}{3} \\[/tex]
I need help on this, I don't get this
Answers
=============================================
Work Shown:
Isolate y in the first equation
2x+y = 5
y = 5-2x .... subtract 2x from both sides
y = -2x+5
Then plug this into the other equation
-3x - 5y = 3
-3x - 5( y ) = 3
-3x - 5( -2x+5 ) = 3 .... replace y with -2x+5
-3x + 10x - 25 = 3 .... distribute
7x-25 = 3
7x = 3+25 .... adding 25 to both sides
7x = 28
x = 28/7 .... divide both sides by 7
x = 4 is the answer
-------------------------------------
Optional Section:
Use this value of x to find y
y = -2x+5
y = -2(4)+5
y = -8+5
y = -3
Then we can check our answers by plugging them into the original equations
2x + y = 5
2(4) - 3 = 5
8 - 3 = 5
5 = 5
That confirms the first equation. Repeat for the second equation
-3x - 5y = 3
-3(4) - 5(-3) = 3
-12 + 15 = 3
3 = 3
We've confirmed both equations, so (x,y) = (4, -3) is the solution to this system. This system is considered independent and consistent.
Graphing the two original equations will show that they intersect at (4, -3).
Consider the equation 1.5x+4.5y=18. If we graph the equation, what is the
slope of the graph?
m= 3
m = 1.5
m = 4.5
m = -1/3
Answers
M=-1/3
Y=-1/3x + 4
Kelsey measured the sides of a porch to determine if it is a right triangle. Does her porch with side lengths of 42 feet,
56 feet, and 70 feet form a right triangle?
Yes, because 422 +582 702
Yes, because 422 +562 = 70.
No, because 422+562 702.
No, because 422+562 = 702.
(it's b)
Answers
Answer:
yes because 422+ 562= 70
That’s the answer
PLEASE HELP ASAP I FORGOT HOW TO DO THIS!
Answers
Answer:
its A
Step-by-step explanation:
i need help plzzzzzz
Answers
Because you combine like terms
Answer:
3.7a/10+3b
Step-by-step explanation:
Hope this helps and have a great day :)slope -3/4 and y-intercept 9.
Answers
Answer:
The equation would be:
Y=-3/4 + 9
Step-by-step explanation:
Hope it helps.
Melissa purchased $39.46 in groceries at a store. The cashier gave her $1.46 in change from a $50 bill. How much change should the cashier have given Melissa?
Answers
Step-by-step explanation:
Melissa have about 90$
solve using substitution method.
y=5,696x+25)
y = 9.49(x+6)
please help i answered but i just want to make sure it’s correct!
Answers
Answer:
y=56.9933034497, x=.00561680186
Step-by-step explanation:
what is x divided by 2= 4.5 Pls help with this.
Answers
Answer:
9
Step-by-step explanation:
9/2= 4.5
Marisa has studies 1 1/2 hours today.That is 3/10 of the time ahe plans on studying today.How long does Marisa plans on studying today? Need help!!!!!
Answers
Answer:
Marrisa plans on studying for 5 hours today!
Step-by-step explanation:
1.5 hours = (3/10) of X ...... where X is the "number of hours she plans on studying today" and OF means to multiply....
so..... 1.5 = (3/10)X
then you will solve for X!
Multiply by 10 on both sides and you get: 15= 3X
then divide by 3 on both sides and you get your answer! 5 = X
If Elena’s ice cream cost $3.50 more than Jada’s ice cream, how much more did Elena’s toppings weigh?
Answers
Answer:8 ounces more
Step-by-step explanation:Toppings cost 50 cents, 50 cents times 8 = $3.50
Answer: 8 ounces more
Step-by-step explanation: Toppings cost 50 cents, 50 cents times 8 = $3.50
what is 5 times (2+8)+(12-6/3)times2
Answers
Answer:
5(2+8)+(12-6/3)2
5(10)+(12/1-6/3)2
50+(36/3-6/3)2
50+(30/3)2
50+60/3
50+20
70
Step-by-step explanation:
Answer: 70
If the equation is [tex]5(2+8)+(12-\frac{6}{3} )2[/tex]
[tex]5*10+(12-2)*2[/tex]
[tex]5*10+10*2[/tex]
[tex]10(5+2)[/tex]
[tex]10*7[/tex]
Answer: 70
Please mark brainliest if correct :)
help pls i’ll give out extra points
Answers
Answer:
The answer is similar, AA similar.
Step-by-step explanation:
The triangles are obviously similar; but we only know that because of the two identical angles. (AA)
Please mark Brainliest!
is the correct rate 1.20$ per hotdog?
Answers
Answer:
true
Step-by-step explanation:
what is 2x=9 I need help asap plzzzzz
Answers
Answer:
4.5
Step-by-step explanation:
2x=9
x=9/2
=4.5
Answer:
x = 4.5
Step-by-step explanation:
[tex]2x=9\\\\\text{Divide both sides by 2.}\\\\\frac{2x=9}{2}\\\\\boxed{x=4.5}[/tex]
Hope this helps.
the product of -3/4 and a number x is -27. on writing the equation and solving it x=
Answers
Answer: -3/4*x=-27
x=36
Step-by-step explanation:
-3/4*x=-27
Divide on -3/4 on both sides:
-3/4/-3/4*x=-27/-3/4
x=36
I need help T-T hehehehehehehe
Answers
Answer:
hehhehhe what the other guy said lol 10+9=21
PLEASE GRAPH THIS AND SHOW THE Y AND X INTERCEPT
Answers
Answer:
I found this : graph the inequality by finding the boundry line, then shading the appropriate area
8 > 10p^2h-8c/5 (draw a line under the >)
Step-by-step explanation:
Which values from the given replacement set make up the solution set of the inequality? 2b≥6;
A) { 3, 4}
B) {2, 3, 4}
C) {1, 2, }
D) {1, 2, 3}
Answers
HELP ME
please help me :,(
algebra
what are the roots, and y intercept of g (x)?
f (x)=(x-2)(x+3)(x-4)(x+1)
g (x)= -f (x+3)
Answers
Answers:
Roots of g(x) are: -1, -6, 1, -4
Y intercept of g(x) is: 24
==============================================
Explanation:
Part 1) Finding the roots of g(x)
To do this, we need the roots of f(x). Plug in f(x) = 0 and solve for x using the zero product property.
f(x) = (x-2)(x+3)(x-4)(x+1)
0 = (x-2)(x+3)(x-4)(x+1)
(x-2)(x+3)(x-4)(x+1) = 0
x-2 = 0 or x+3 = 0 or x-4 = 0 or x+1 = 0
x = 2 or x = -3 or x = 4 or x = -1
Those four x values are the roots of f(x). Plugging any of those values into f(x) leads to f(x) = 0.
Now onto g(x). We see that g(x) = -f(x+3). The x+3 indicates the xy axis has been shifted by 3 units to the right. This gives the illusion the f(x) curve is shifted 3 units to the left. This will move each root 3 units to the left as well.
The root x = 2 on f(x) moves to x = -1 on g(x). We subtract 3 from the first x value to get the second x value.The root x = -3 on f(x) moves to x = -6 on g(x). Same idea as above.The root x = 4 on f(x) moves to x = 1 on g(x).The root x = -1 on f(x) moves to x = -4 on g(x).The four roots of g(x) are: -1, -6, 1, -4
------------------------------------------------
Part 2) The y intercept of g(x)
Let's plug x = 0 into g(x) to see what happens
g(x) = -f(x+3)
g(0) = -f(0+3) ... replace every x with 0
g(0) = -f(3)
We don't know f(3) yet, but we can plug x = 3 into f(x) to find out
f(x) = (x-2)(x+3)(x-4)(x+1)
f(3) = (3-2)(3+3)(3-4)(3+1)
f(3) = (1)(6)(-1)(4)
f(3) = -24
Therefore,
g(0) = -f(3)
g(0) = -(-24)
g(0) = 24
The y intercept of g(x) is 24.
Please help thank you!!!
Answers
Suppose we are given the following.
Line 1 passes through (-1, 4) and (-3, -2).
Line 2 passes through (-1, -2) and (0, 1).
Line 3 passes through (-6, -3) and (3, -6).
(a) Find the slope of each line.
Slope of Line 1 =
Slope of Line 2 = 0
Slope of Line 3 =
(b) For each pair of lines, determine whether they are parallel, perpendicular, or neither.
Line 1 and Line 2: Parallel Perpendicular Neither
Line 1 and Line 3: Parallel Perpendicular Neither
Line 2 and Line 3: Parallel Perpendicular Neither
Answers
Answer:
Slope of line 1 = 3
Slope of line 2 = -3
Slope of line 3 = -1/3
Line 1 and 2 = perpendicular
Line 1 and 3 = perpendicular
Line 2 and 3 = perpendicular
Step-by-step explanation:
trust me its correct
pls mark me as brainliest
This is worth 20 points.
Find the slopes of segments CS and KP, and then determine whether they are parallel, perpendicular, or neither.
C(−6, −7),
S(−3, −5),
K(3, 3),
P(9, 7)
Answers
Answer:
CS M=2/3 , KP M=2/3
Step-by-step explanation:
Neither because, they have the same slope but CS is negative so, the slopes are in a line.
HELP PLZZZZ
1.) is 67.95 an integer
2.) is 54/9 an integer
3.) is 19 an integer
4.)is 544.88 an integer
5.) is 7/6 an integer
Answers
Answer:
Step-by-step explanation:
no
no
yes
no
no
an integer is a whole number positive or negative or zero.
... ,-3,-2,-1,0,1,2,3,... are integers.
1. Not an integer
2. Not an integer
3. Is an integer
4. Not an integer
5. Not an integer
Find the coordinates of the image of the point (0,2) when it is reflected across the line x=3
Answers
Answer:
(6,2)
Step-by-step explanation:
because math