Step-by-step explanation:
✧ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T \: I \: O \: N}}}} : [/tex]
~Set up an equation and solve for x :
→ [tex] \large{ \tt{10x + 45 \degree = 75 \degree + 70 \degree}}[/tex] [ Exterior angle is always equal to the sum of two non-adjacent interior angles ]
Add the numbers : 75° & 70°
→ [tex] \large{ \tt{10x + 45 \degree = 145 \degree}}[/tex]
Since we want to get rid of the constant in the left hand side , subtract 45 from both sides :
→ [tex] \large{ \tt{10x + 45 \degree - 45 \degree= 145 \degree - 45 \degree}}[/tex]
→ [tex] \large{ \tt{10x \: \cancel{ + 45 \degree} \: \cancel{ - 45 \degree} = 100 \degree}}[/tex]
→ [tex] \large{ \tt{10x = 100 \degree}}[/tex]
~Divide both sides by 10
→ [tex] \large{ \tt{ \frac{10x}{10} = \frac{100}{10}}} \degree[/tex]
→ [tex] \large{ \tt{x = 10 \degree}}[/tex]
⟿ [tex] \boxed{ \boxed{ \large{ \text{Our \: Final \: Answer} : \underline{ \bold{ \tt{x = 10 \degree}}}}}}[/tex]
Hope I helped ! ツ
Have a wonderful day / night ! ♡
☄Let me know if you have any questions regarding my answer !
♪ [tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ✎
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Which equation represents a nonproportional relationship? Which equation represents a nonproportional relationship? A y = 5x B y = 5x + 3 C y = −5x D y = − 1 5 x
Answer:
y = 5x + 3 is a nonproportional relationship.
Step-by-step explanation:
We need to find the equation that represents a nonproportional relationship.
If y is directly proportional to x, it would mean that,
y ∝ x
y = kx
Option (b) shows the equation of a line i.e. y=mx+x, where m is slope and x is y-intercept.
Hence, we can say that option (b) represents a nonproportional relationship.
plz help me with this its hard :(
Answer: 50 degrees
Step-by-step explanation:
Since the angle is 80 degrees, you need to subtract 80 from 30 to get f.
80-30= 50
r=1.2 yd area of the circle
Answer: 1.44pi
Step-by-step explanation:
Q19. Four positive whole numbers add up to 36
One of the numbers is a multiple of 7
The other three numbers are equal.
Work out the result when the four numbers are multiplied.
Answer:
Step-by-step explanation:
let the numbers be 7x,y,y,y.
7x+3y=36
3y=36-7x
[tex]y=\frac{36-7x}{3} \\let~x=3\\y=\frac{36-7 \times 3}{3} =\frac{15}{3} =5\\[/tex]
numbers are 7×3,5,5,5
or 21,5,5,5
21×5×5×5=2625
1 point
Oceanside Bike Rental Shop charges a 13 dollar fixed fee plus 9 dollars an
hour for renting a bike. Carlos paid 58 dollars to rent a bike. How many
hours did he pay to have the bike checked out? *
Answer: 5 hours
Step-by-step explanation:
Carl paid $58 dollars in total and this included the fixed dollar fee and the variable amount of $9.
To find the number of hours, first deduct the fixed component:
= 58 - 13
= $45
$45 was spent as a result of hourly fee. The number of hours is therefore:
= Total hourly cost/ Cost per hour
= 45 / 9
= 5 hours
sin A =
option 1: 40/9
option 2: 9/41
option 3: 40/41
option 4: 41/40
what is the correct answer?
Answer: Option 3 40/41
Step-by-step explanation:
Sin of angle A means the opposite over hypotenuse. The opposite of Angle A is 40 and the hypotenuse is 41 so SinA is 40/41
Answer:
option 3: [tex]\frac{40}{41}[/tex]
Step-by-step explanation:
SOH CAH TOA
sine = [tex]\frac{opposite}{hypotenuse}[/tex]
sine A = [tex]\frac{40}{41}[/tex]
answer for brainlist & extra points! i can see if your answer is correct or not :)
Answer:
n=7
Step-by-step explanation:
71=10n+1
We move all terms to the left:
71-(10n+1)=0
We get rid of parentheses
-10n-1+71=0
We add all the numbers together, and all the variables
-10n+70=0
We move all terms containing n to the left, all other terms to the right
-10n=-70
n=-70/-10
n=7
Hope it helps
Answer:
The equation simplifies to n = 7.
Step-by-step explanation:
Hey there! We have an algebraic equation with the variable n. We want to solve for n. Therefore, we need to simplify the expression as much as we can.
To do this, we're going to notice we have two like terms in the equation:
711These two terms can be combined to make one term. In order to do this, we're going to check which side of the equation has two terms.
Left side → 1 termRight side → 2 termsWe are going to then check the sign of the constant. As a reminder, constants are numbers without a variable attached to them.
We see our constant is 1 on the right side and it is positive due to it being added to 10n. Therefore, we are going to do the opposite and subtract it from 71.
71 - 1 = 70This leaves us with a more simplified equation: 70 = 10n.
To make things easier, we're going to use the commutative property and switch the terms around. This will give us 10n = 70. It is easier to operate when our variable term is on the left side.
Now, we need to get our variable by itself. A coefficient is multiplying the variable by that value, so to reverse that, we must divide.
In addition to that, what we do on one side of the equation must be done on the other side of the equation.
[tex]\displaystyle \frac{10n}{10} = \frac{70}{10}[/tex]
This simplifies to n = 7, which is our final answer.
What is an equation of the line that passes through the point ( − 1 , − 3 ) and is perpendicular to the line x − 2 y = 14? pls answer will mark you as brainiest
Answer:
y = -2x - 5
Step-by-step explanation:
First rewrite the second equation into y = mx + b format:
x - 2y = 14
2y = x - 14
y = x/2 - 14/2 (Divide both sides by 2)
y = 1/2x - 7
A line perpendicular to another has the negative reciprocal slope
So the slope of our first equation is -2. (Flip 1/2 = 2, then take the opposite)
Plug in the points (-1, -3) for the x and y coordinates.
x (x coordinate) = -1
y (y coordinate) = -3
slope (m) = -2
-3 = -1(-2) + b
-3 = 2 + b
-3 - 2 = b
b = -5
The equation of the line is y = -2x - 5. Hope this helps! :)
Answer:
y = -2x - 5 or 2x + y = -5
Step-by-step explanation:
Let's find the slope of the given line.
-2y = -x + 14
y = 1/2(x) -7
m = 1/2
The slope of a line perpendicular is the negative reciprocal of 1/2, which is -2
Now use the point-slope form of a line
y + 3 = -2(x + 1)
y + 3 = -2x - 2
y = -2x - 5 or 2x + y = -5
Please helpppp me ! If the sum of the roots of the equation mx^2 - (6m+1)x+m^3+m^2+4=0 is equal to 7 , what is the product of its roots ? ( will give brainliest if answer correctly ) . ♡
Answer:
The product of its roots is 6.
Step-by-step explanation:
Let [tex]m\cdot x^{2}-(6\cdot m +1)\cdot x+(m^{3}+m^{2}+4) = 0[/tex], all roots are calculated by Quadratic Formula:
[tex]r_{1} = \frac{6\cdot m +1 + \sqrt{(6\cdot m + 1)^{2}-4\cdot m\cdot (m^{3}+m^{2}+4)}}{2\cdot m}[/tex] (1)
[tex]r_{2} = \frac{6\cdot m +1 - \sqrt{(6\cdot m + 1)^{2}-4\cdot m\cdot (m^{3}+m^{2}+4)}}{2\cdot m}[/tex] (2)
According to statement, we know that:
[tex]r_{1}+r_{2} = 7[/tex] (3)
By applying (1) and (2) in (3), we have the following expression:
[tex]\frac{6\cdot m +1}{m} = 7[/tex]
[tex]6\cdot m + 1 = 7\cdot m[/tex]
[tex]m = 1[/tex]
If we know that [tex]m = 1[/tex], then the roots of the polynomial are, respectively:
[tex]x^{2}-7\cdot x +6 = 0[/tex]
[tex]r_{1} = 6[/tex]
[tex]r_{2} = 1[/tex]
And the product of the roots is:
[tex]r_{1}\cdot r_{2} = 6[/tex]
The product of its roots is 6.
Help ASAP! use the second image attached to answer!
Answer:
only the circle graph
Step-by-step explanation:
Answer:
Only the graph
Step-by-step explanation:
Im not an expert or anything but the chart only shows numbers, which aren't useful, but the circle shows, under the 80-89, 44.4%, which is the useful one. hope that helps you
please give solutions kindly write and send pic in my whatsap no.( eight zero one seven zero zero zero nine five zero)
Answer:
You simply take the values away from 180°.
a) 180-85-65 = 30°
b) 180-37-63=80°
c) 180-52-78=50°
d) 180-102-58=20°
e) 180-100-60=20°
f) 180-105-25=50°
g) 180-127-23=30°
help me please this will help my grade !
Answer:
c. [tex]\sqrt{13}[/tex]
Step-by-step explanation:
the 13 will have an ongoing decimal
Answer:
The irrational number is C
Step-by-step explanation:
C can't be written as a rational number because it cannot be written as a fraction (n/d)
- 6
x= -18
3
360
f(x) =
I= 36
C
4x + 73
X = -18,36
f(-18) =
Answer:
f(−18)=−8
khan academy
What is the total surface area??
Answer:
790 units^2
Step-by-step explanation:
Take the area of each side and add them all up. Remember each side is there twice.
Formula: SA = 2(15*5 + 15*16 + 5*16)
SA = 2(75 + 240 + 80)
SA = 2(395)
SA = 790
Which phrase describes the algebraic expression 7/8y-3
Answer:
Step 1: Remove parentheses by multiplying factors.
= (x * x) + (1 * x) + (2 * x) + (2 * 1)
Step 2: Combine like terms by adding coefficients.
(x * x) = x2
(1 * x) = 1x
(2* x) = 2x
Step 3: Combine the constants.
(2 * 1) = 2
Step 4: Therefore, Simplifying Algebraic Expression is solved as
= x2 + 3x + 2.
Step-by-step explanation:
answer isx2 + 3x + 2.
A rectangular sandbox is in the center of a larger rectangular back yard. The sand box
measures (x+6) feet long and 5x feet wide. The yard measures (6x+7) feet long and 8x
feet wide.
What is the area of the yard that is NOT apart of the sandbox?
Answer:
(43[tex]x^{2}[/tex] - 26x) [tex]ft^{2}[/tex]
Step-by-step explanation:
Area of the yard that is not pat of the sandbox = Area of the yard - Area of the sandbox
Since both the yard and the sandbox has a rectangular shape, then;
Area of a rectangle = length x width
So that,
Area of the yard = length x width
= (6x+7) x 8x
= (48[tex]x^{2}[/tex] + 56x) [tex]ft^{2}[/tex]
Area of the sandbox = length x width
= (x+6) x 5x
= (5[tex]x^{2}[/tex] + 30x) [tex]ft^{2}[/tex]
Thus,
Area of the yard that is not pat of the sandbox = (48[tex]x^{2}[/tex] + 56x) - (5[tex]x^{2}[/tex] + 30x)
= 48[tex]x^{2}[/tex] + 56x - 5[tex]x^{2}[/tex] - 30x
= (43[tex]x^{2}[/tex] - 26x) [tex]ft^{2}[/tex]
Area of the yard that is not pat of the sandbox is (43[tex]x^{2}[/tex] - 26x) [tex]ft^{2}[/tex].
If a large rectangle area is 99 yards on one side and 88 yards on the other side. How much space does it take up in square yards?
Answer:
99x88= 8712 square yards
Tina's gross pay is $2860. How much of her gross pay will be deducted for FICA taxes? (The Social Security tax is 6.2% of gross pay. The Medicare tax is 1.45% of gross pay.)
$218.79
$205.02
$177.32
$41.47
uhm!!! i need help please
Answer:
5
Step-by-step explanation:
Please help. What is the answer?
Answer:
Choice number 3
Step-by-step explanation:
Because look at the length of 8 on one side and notice the other side is a little longer
PLEASE HELP I WILL GIVE BRAINLIEST
I NEED HEEEEEEELP-
But- People can you guys give me a straight answer? I'm tired and have a headache from all this. I need to make this assignment.
..........
Answer:
C= 93⁰, B= 64⁰, D= 23⁰
Step-by-step explanation:
180= (4x + 1) + (3x - 5) + x⁰
180= 4x+1 +3x-5 +x
180= 8x - 4
184= 8x
184/8= x
23=x
therefore
C= (4(23) +1)
C= 93
B= (3(23)-5)
B= 64
D= 23
93⁰+64⁰+23⁰=180⁰
30
200
y - 200+ 0.50x
y = 50 + 0.30x
Consider the data shown on the graph.
• The y-intercept represents the base price of $ drag and drop answer here for airfare from NYC
• The slope represent a cost of drag and drop answer here cents per mile traveled.
• If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be drag and drop answer here
• If the cost per mile changed to 50 cents, the new equation would be drag and drop answer here
Answer:
Step-by-step explanation:
THE ANSWER IS 200 , 30, Y=50+0.30X, Y=200+ 0.50X
The solution is, x = 20, is the solution of Y=0.25x +50=0.30x+ 40.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
here, we have,
EXPLANATION
The equation given can be express as
y = 0.25x + 50
y = 0.30x + 40
Since, both equations are functions
Equate the two functions together
0.25x + 50 = 0.30x + 40
Collect the like terms
0.25x - 0.30x = 40 - 50
x(0.25 - 0.30) =-10
x(-0.5) = -10
-0.5x = -10
Divide both sides by -0.5
-0.5x / -0.5 = -10/-0.5
x = 10/0.5
x = 20
When collecting the like terms, we isolate values with the same variables from values with a different variables.
If a positive sign crosses an equality sign it automatically becomes a negative sign and if a negative sign crosses an equality operator it automatically becomes a positive sign.
Hence, The solution is, x = 20, is the solution of Y=0.25x +50=0.30x+ 40.
To learn more on equation click:
brainly.com/question/24169758
#SPJ2
complete question:
Y=0.25x +50=0.30x+ 40 how would I get x=20?
2/5g = 3/5 give me a good explanation that is easy to understand
A spotlight is mounted on a wall 9.8 feet above a security desk in an office building. It is used to light an entrance door 14.5 feet from the desk. To the nearest degree, what is the angle of depression from the spotlight to the entrance door?
to be honest i think your answer is 51°
1. If X+Y=7 and xy = 10 , then x3+ y3
Answer:
final answer is 21
Step-by-step explanation:
since x+y=7 and xy=10
2+5=7 and 2(5)=10
so,
(5)3=15
(2)3=6
15+6= 21
what is the gcf (greatest common factor) of 9/45
Answer:
9: 1,3,9
45: 1, 3, 5, 9, 15, and 45
Step-by-step explanation:
So the gcf is 9
Answer:
9GCF of 9 and 45 is 9Step-by-step explanation:
The greatest common factor of two numbers x and y is the greatest number that divides x and y leaving the remainder as 0
We can find the GCF of 9 and 45 by the following methods.
GCF of 9 and 45 by Listing the Common Factors Method
GCF of 9 and 45 by Prime Factorization Method
in the figure below, lines m and n are parallel. What is the value of x?
Answer:
x = 51
Step-by-step explanation:
It looks like alt int. angles (correct me if im wrong)
3x - 40 = 2x + 11
x = 51
SOLVE FOR X
PLZ ACTUALLY RESPOND, DON’T ASNWER WITH LINKS
Answer:
this is not an answer sorry, but someone answered me with a link and I opened it and it virused my phone
Answer:
Also not an answer
Step-by-step explanation:
I also got a virus on my phone. I had to get a whole new device.
Can someone tell me the code for this
The DIget In The Tenths Place Is 8
The diget In The Hundreds Place Is 4
The diget In The Ones Place Is 9
The Diget In The Tens Place Is 3
Answer:
The code for that is 439.8