what is the measure of 6?
explain why please
please anwser this asap.
Statement Reason
1. 3x + 7 = ∠2 (Vertically opposite angles)2. ∠2 = ∠5 (Corresponging angles)3. ∠5 = ∠6 (Vertically opposite angles)⇒ ∠2 = ∠5 = ∠6 = 3x + 7
Looking at the picture, we can see that ∠6 and 4x + 5 are a linear pair.
Finding the value of x:
⇒ ∠6 + 4x + 5 = 180
⇒ 3x + 7 + 4x + 5 = 180
⇒ 7x + 12 = 180
⇒ 7x = 180 - 12
⇒ 7x = 168
⇒ 7x/7 = 168/7
⇒ x = 168/7 = 24
Now, substitute the value of x into the expression "3x + 7" to find ∠6.
Finding the measure of ∠6:
⇒ ∠6 = 3x + 7
⇒ ∠6 = 3(24) + 7
⇒ ∠6 = 72 + 7
⇒ ∠6 = 79°
what is the SSS congruence theorem?
21=|c-30| can someone help me.
Answer:
c = 51, 9
Step-by-step explanation:
hope this helps
have an awesome day -TJ
What is the inverse of the function f(x) = 2x – 10?
Answer:
f^-1(x) = (x+10) / 2
Step-by-step explanation:
sooo
f(x) = 2x - 10
y = 2x - 10
x = 2y - 10
x + 10 = 2y
y = (x + 10) / 2
f^-1(x) = (x+10) / 2
Answer:
[tex]f^{-1}(x)=\frac{x+10}{2}[/tex]
Step-by-step explanation:
[tex]f(x)=2x-10\\\\y=2x-10\\\\x=2y-10\\\\x+10=2y\\\\\frac{x+10}{2}=y\\ \\f^{-1}(x)=\frac{x+10}{2}[/tex]
As the two functions are inverses of each other, they will be symmetrical about the line [tex]y=x[/tex].
6. Find m2.
Can someone explain how to get the answer to this question please.
Answer:
m∠2 is 55°
Step-by-step explanation:
Let us revise some facts in geometry
In any triangle, the sum of the measures of its angles is 180°If two line intersected at a point, then they formed two pairs of vertically opposite angles, the vertically opposite angles are equal in measuresWe will use these facts to solve our question
∵ ∠1 is an angle of a triangle
∴ m∠1 + 40° + 85° = 180° ⇒ 1st fact
→ Add the like terms in the left side
∴ m∠1 + 125° = 180°
→ Subtract 125° from both sides
∴ m∠1 + 125° - 125° = 180° - 125°
∴ m∠1 = 55°
∵ ∠1 and ∠2 formed from the intersecting of two lines
∴ ∠1 and ∠2 are vertically opposite angles
∴ m∠1 = m∠2 ⇒ 2nd fact
∵ m∠1 = 55°
∴ m∠2 = 55°
The average class size in the school is 25 students. Suppose this class is
representative of all the students in the school. How many students in this class are
boys?
Answer:
10 of the students in the class are boys
The governor of state A earns $49,185 more than the governor of state B. If the total of their salaries is $297,715, find the salaries of each.
The governor of state A earns $|
and the governor of state B earns $
Answer: Governor A gets $198,042.5 dollars. Governor B gets $99,672.5 Dollars
Hope this helps!!!
Step-by-step explanation:
mark me brainliest please
Someone pls I need help with this problem comment asap “what is a division word problem that can be represented by 4/3”
Answer:
4 divided by 3 will be your answer
Answer:
4 divided by 3
Step-by-step explanation:
Given;
what is a division word problem that can be represented by 4/3
Solve;
/ = ÷ or divide
Thus, 4 divided by 3 or Four divided by three.
Division word problem:
The family equally shares 4 boxes of pizza among 3 people
~Learn with lenvy~
2.) Virginia stitches pants. She made 10 pairs on Monday, 12 on Tuesday, 9 on Wednesday, 11
on Thursday and 15 on Friday. She is paid $5.79 for each complete pair, How much did
Virginia earn during this week?
Answer:
in total she made 330.03$
Step-by-step explanation:
in total she made 57 pants and she paid 5.79 for each so you multiply and get the total
5. Expand the monomial x⁴y².
Answer:
23y
Step-by-step explanation:
this my answer hope it's help
make me brainless pls
Austin needs 358 programs for the school play on Thursday. How many boxes of programs will he need, given that each box contains 41 programs?
Solve the proportion
Hailey purchased a new car in 2000 for $29,600. The value of the car has been depreciating exponentially at a constant rate. If the value of the car was $12,000 in the year 2007, then what would be the predicted value of the car in the year 2012, to the nearest dollar?
=========================================================
Explanation:
x = number of years since the year 2000
eg: x = 1 represents the year 2001
y = value of the car in dollars
The point (x,y) = (0,29600) is on the curve and it's the y intercept. This is when Hailey bought the car with a value of $29600.
Another point on this curve is (7,12000) to indicate seven years have passed and the car is now worth $12000.
------------------------------
Since the y intercept is 29600, this is the value of 'a' in the equation
y = a*b^x
Meaning we can update it to
y = 29600*b^x
Plug in the coordinates of the other point so we can solve for b
y = 29600*b^x
12000 = 29600*b^7
12000/29600 = b^7
b^7 = 12000/29600
b^7 = 0.405405
b = (0.405405)^(1/7)
b = 0.878991 approximately
------------------------------
We found that
a = 29600b = 0.878991 approximatelySo we go from
y = a*b^x
to
y = 29600*0.878991^x
To verify this, plugging x = 0 should lead to y = 29600
Also, plugging in x = 7 should lead to y = 12000 or very close to it.
------------------------------
The last step is to plug in x = 12 to find the car's value in 2012, i.e. x = 12 years after the year 2000.
So,
y = 29600*0.878991^x
y = 29600*0.878991^12
y = 6296.58182216087
y = 6297
The predicted car's value in 2007 is about $6297
PLEASE HELP WILL GIVE BRAINLIEST!!!! Suppose f(x)=x^2-2 find the graph of f(1/2x)
Answer: graph 3
Step-by-step explanation:
The sum of two numbers is 100; the first number is 12 less than the second number? What equation best represents the following
Answer:
Let the first number be f.
Let the second number be s.
f = s-12
f+s = 100
Substitute the f in the first equation for the second equation.
s-12+s = 100
2s-12 =100
2s = 112
s = 56
Therefore f = 56-12 = 44
The 2 numbers are 56 and 44.
A student is ordering dried chili peppers and corn husks for a cooking class.
Chili peppers cost $16.95 per pound.
Corn husks cost $6.49 per pound.
The student plans to spend less than $50.
The city's budget is 8000000 the city actually spends 12000000 what is the city's deficit
Answer:
-4000000
Step-by-step explanation:
Is{(3,-2),(4, -2),(5,-2),(6,-2)} a function?
Answer:
Yes
Step-by-step explanation:
It is because function can be many to one but it cannot be one to many.
Equations
Pls give an explanation
2x + 12 = 24
I don’t understand it thank you
Answer:
2x+12=24
first you subtract 12 from both sides
2x+12=24
-12. -12
The 12-12 should cancel itself, the rest of the equation you bring down to get
2x=12 (because 24-12=12)
Now you have 2x=12.
you then divide 2x by both sides.
2x=12
/2x=/2x
The 2x/2x cancels itself out so you then solve for 12/2x.
For this you just divide 12/2 which is 6!
x= 6 is your final answer.
to check this equation you can plug your number back into x to see if it is true! 2(6)+12=24.
6 times 2 is 12 and 12+12 is 24 so your answer (6) is true!
hope this helps! :D
Answer:
[tex]X = 6[/tex]
Step-by-step explanation:
[tex]2x + 12 = 14[/tex]
[tex]-12[/tex] [tex]-12[/tex]
---------------------
[tex]\frac{2x}{2} = \frac{12}{2}[/tex] = [tex]x = 6[/tex]
1. Set the equation up.
2. isolate the x from 2x then do the opposite of 12 to -12
3. subtract from 14
4. make proportion.
5. divide both sides.
6. [tex]Answer= x=6[/tex]
hope this helped :) have a great night.
round 3.94 to the nearst whole
Answer:
4
Step-by-step explanation:
Find the number in the whole number place
3
and look one place to the right for the rounding digit on the right side of the decimal point
9
Round up if this number is greater than or equal to
5
and round down if it is less than
5
Given the function g(a) =4a -3. Solve for g(-2)
Answer: g(a) = 4(-2) - 3 = -8 - 3 = -11
Step-by-step explanation: your welcome. :)
Answer:
-11
Step-by-step explanation:
g(a) = 4a -3
g(-2)= 4(-2)-3
g(-2)= -8-3
g(-2)= -11
The tires of a semi-trailer truck are 3.2 feet tall. How many 360-degree rotations do the tires make when the truck travels 190 feet? Round your answer to the nearest whole number.
Answer:
4329deg/360deg=12 revolutions
Step-by-step explanation:
Solve for r.
a = qb to
What is r equal to?
r=a−qb is the correct answer-
r=0
Step-by-step explanation:
r is not in the equation
5. A hat contains 13 tickets with numbers 1 to 13 on them. If two tickets are drawn from the hat
without replacement. Find the probability that they are both odd numbers.
Answer:
3.5
Step-by-step explanation:
the original probability is 7/6 favoring odd
What is 48 1/10-2 7/9
Answer:
Step-by-step explanation:
I'm not sure that my answer is correct but i got 45
A man gets an invoice for $460 with terms 4/10, 1/15, n/30. How much would he pay 6 days after the invoice date?
Answer:
$441.60
Step-by-step explanation:
Invoice amount: $460
Term 4/10= 4% discount if paid early within the first 10 days of the invoice date
Amount due: $441.60
Discount amount: $18.40
Invoice amount: $460
Term: 1/15= 1% discount if paid early within the first 15 days of the invoice date
Amount due: $455.40
Discount amount: $4.60
Invoice amount: $460
Term: n/30= no discount if paid on or after the 30 days from the invoice date
Amount due: $460
Discount amount: $0
what is the density of object X if the mass is 100g with a volume of 6
Answer:
4.0 g/ml
Step-by-step explanation:
[tex] Volume_X [/tex] = water displaced by X
Water displaced by object X = Final fluid level - Original fluid level
Water displaced by object X = 90 ml - 65 ml = 25 ml
[tex] Volume_{X} = 25 ml [/tex]
Density of rock:
100 grams => 25 ml
x grams => 1 ml
Cross multiply
x*25 = 1*100
25x = 100
25x/25 = 100/25
x = 4
Density of object X = 4 g per 1 ml = 4.0 g/ml
I need help with these 2 questions
Answer:
use this formula 2 pie r square
Ana angle measure 79.8 degrees less than the measure of it’s complementary angle what is the measure of each angle
Answer:
x = 129.8 degrees, y = 50.2 degrees, x + y = 180
Step-by-step explanation:
Let's say you have 2 supplementary angles, x and y
So x + y = 180
if x is 79.8 degrees less than the measure of a supplementary angle, then x = y - 79.8
Putting this into our x + y = 180 equation, we get
(y - 79.8) + y = 180
2y - 79.8 = 180
2y = 180 + 79.8
2y = 259.8
y = 259.8/2 = 129.9 degrees.
so x = 129.9 - 79.6 = 50.3 degrees.
See if it worked. x = 129.9 degrees, y = 50.3 degrees, x + y = 180 so we found the correct two angles! :-)
Cj walks 8 miles in 3 hours what is the unit rate does cj walk
Answer: 2 [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
8/3 ( 8 divided by 3)
2 [tex]\frac{3}{5}[/tex]
Answer: 2 3/5
Step-by-step explanation: sorry for answering late and have a wonderful day!!!!!
also my i didnt know i walked 8 miles in 3 hours lolz. im just playin XD