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
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).
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
is the correct rate 1.20$ per hotdog?
Answers
Answer:
true
Step-by-step explanation:
PLEASE HELP ASAP I FORGOT HOW TO DO THIS!
Answers
Answer:
its A
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
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
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
I need help T-T hehehehehehehe
Answers
Answer:
hehhehhe what the other guy said lol 10+9=21
Please help thank you!!!
Answers
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!
Melissa purchased $39.46 in groceries at a store. The cashier gave her $1.46 in change from a $50 bill. How much change should the cashier have given Melissa?
Answers
Step-by-step explanation:
Melissa have about 90$
Brainliest 5 stars Thanks!
Answers
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
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
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
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]
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
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 :)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.
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.
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
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
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 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 :)
slope -3/4 and y-intercept 9.
Answers
Answer:
The equation would be:
Y=-3/4 + 9
Step-by-step explanation:
Hope it helps.
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:
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
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
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