Answers
m < 1 = 130°
m < 1 = 130°m < 2 = 50°
We know this is a linear pair, therefore the two angles must add up to 180°
[tex](m < 1 )+ (m < 2 )= 180[/tex]
[tex]5x + x + 24 = 180[/tex]
Combine like terms
[tex]6x + 24 = 180[/tex]
Isolate the variable
[tex]6x = 156[/tex]
[tex]x = 26[/tex]
Plug in 26 for x in both of the individual angle equations.
[tex]m < 1 = 5x[/tex]
[tex] = 5(26)[/tex]
[tex] = 130[/tex]
[tex]m < 2 = x - 24[/tex]
[tex] = (26) + 24[/tex]
[tex] = 50[/tex]
A good way to check if we did this correctly, is to add up the two angles. Because 180 + 50 = 180, we did this correctly.
I hope this helped. Let me know if you have any questions!
Related Questions
what is 1 over 3 times 1 over 4?
Answers
this is the correct answer
Could someone please answer this question!!?
Answers
..........
f(x) = 3x + 2
g(x) = 2x^2 - 4x
h(x) = x^2 - x + 7
Find f[g(5)]
A. 92
B. 2
C. 30
D. 242
Answers
Answer:
A
Step-by-step explanation:
Evaluate g(5), then use the value obtained to evaluate f(x) , that is
g(5) = 2(5)² - 4(5) = 2(25) - 20 = 50 - 20 = 30, then
f(30) = 3(30) + 2 = 90 + 2 = 92
Find the distance between the two points in simplest radical form.
(0, –4) and (-3,-1)
Answers
Answer:
3[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (- 3, - 1)
d = [tex]\sqrt{(-3-0)^2+(-1+4)^2}[/tex]
= [tex]\sqrt{(-3)^2+3^2}[/tex]
= [tex]\sqrt{9+9}[/tex]
= [tex]\sqrt{18}[/tex]
= [tex]\sqrt{9(2)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] = 3[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Hey there!
Given;
The points are;(0,-4) and (-3,-1).
Use formula for distance between the two points.
[tex]d = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]
Put all values.
[tex]d = \sqrt{( { - 3 - 0)}^{2} + ( { - 1 + 4)}^{2} } [/tex]
Simplify to get answer.
[tex]d = \sqrt{9 + 9} [/tex]
[tex]d = \sqrt{18} [/tex]
[tex]d = 3 \sqrt{2} [/tex]
Therefore, the distance is 3√(2) units or 4.24 units.
Hope it helps...
The sum of four consecutive odd numbers is 72 find the numbers
Answers
Answer:
15, 17, 19 and 21 it mst b them
Which property of addition is shown?
3 +41 + 5 + 6 = 3 + 5+ 41 + 61
Identity property
Associative property
Commutative property
Inverse property
Answers
Answer:
ASSOCIATIVE PROPERY
Step-by-step explanation:
Find the percent increase. Round to the nearest percent.
From 15 friends to 16 friends
Answers
Answer:
107%
Step-by-step explanation:
15-100%
16-x%
x%=16*100/15=106.6%~107%
Determine the x- and y-intercepts of the graph of x – 4y = 8. Then plot the intercepts to graph the equation.
Answers
Answer:
the x is -8,0 and the y is 0,2
hope this helps!
In class of 60 boys, there are 45 boys who play card and 30 boys who play carom. How many play both games
Answers
Answer:
the answer is 40 boys
Step-by-step explanation:
Let's say there are x boys who play both cards and carrom.
We setup up an equation that involved all information given and x.
Boys who only play cards = 45-x
Boys who only play carrom = 20-x
Boys who play both = x
Add there together and you should get 60, which is the total number of students in the class.
(45-x)+(20-x)+x=60
65-x=60
x=5
Boys who only play cards=45-x=45–5=40
hope it helps you
Answer:
there are 15 boys who can play both games in the class.
Simplify
(5x−2+3x2)+(4x+3)
Step by step please
Answers
(5x - 2 + 6) + (4x + 3) calculate the sum (-2 + 6) and you get..
(5x + 4) + 4x + 3 remove parentheses..
5x + 4 + 4x + 3 collect like terms..( 5x + 4x) and you get..
9x + 4 + 3
Final answer is..
9x + 7
For (5x−2+3x^2)+(4x+3) the answer is below
Help me pls I am confused for al parts of this pls help.
Answers
Answer:
i think it's 5/4
Step-by-step explanation:
if y= -8 when x= -2 whats x when y=32
Answers
Answer:
8
Step-by-step explanation:
Y) -8 x -4 = 32
X) -2 x -4 = 8
Answer:
X=8
hope this helps =3
sorry if im wrong
Hey several brings five breadsticks to the table to people they share them equally how many do they get
Answers
Which system is independent and inconsistent? x-y+Z = 2 O x-y-Z=2 (x+y+Z = 2 x-y+z= 2 O X+y-Z=3 X-y-z=4 2x+2y + 2z=4 -X-y-Z=-2 X+y+z=2 x-y-Z = 2 X+Y-Z=3 -X+y+Z=4
Answers
Answer: D
Step-by-step explanation:
2. What are the angle measures of the triangle?
Answers
Answer:
Answer A is the correct option.
state whether the linear equation has one (unique),infinely many,or no solutions
12(x+8)=11x-5
PLZ HELP! DO NOT PUT A SILLY AWSER I WILL REPORT U!
Answers
Answer:
One solution
Step-by-step explanation:
12x+96=11x-5
12x-11x= -5-96
x= -101
x only equals one solution, which is -101.
Question 19 please tysm for helping
Answers
Answer:
1
Step-by-step explanation:
just multiply across and youll get 72/72 and then you simplify to get 1
sorry if this is wrong haha
Answer:
simplified- 1
Multiplied-1
evaluate-1
Step-by-step explanation:
help please!!! i’ll give brainiest!
Answers
=================================================
Explanation:
Replace every x with -3
Then use the order of operations (PEMDAS) to simplify
y = -2x^2 + x - 5
y = -2(-3)^2 + (-3) - 5 ... x replaced with -3
y = -2(9) - 3 - 5
y = -18 - 3 - 5
y = -21 - 5
y = -26
Answer:
-26
Step-by-step explanation:
1. plug in -3 for all x's
-2(-3)^2 + (-3) -5
2. combine like terms
-2(-3)^2 - 8
3. pEmdas. deal with exponent first (remember: only affect the 3, since it's in parentheses! also when you square a negative number, it becomes positive!)
-2(9) - 8
4. peMdas. multiply -2 and 9 next.
-18 - 8
5. pemdaS. subtract 8 from -18.
-18 - 8 = -26
( −15/20÷25/30 ) – ( −3/10 x 12 )
Answers
Answer:
2.7
Step-by-step explanation:
The area of a square patio is 196 square feet. How long is each side of the patio?
Answers
Each foot of the patio would be 49 feet because a square has four equal side lengths and 196/4=49. now don't put you'll whole faith in me, this is a good guess.
Answer: 14
Step-by-step explanation: the square root of 196 is 14
What would be the domain for {(-6, 4), (5, -1), (0, 3), (-2, 4)}
Answers
Answer:
-6, 5, 0, and -2
Step-by-step explanation:
The domain values are the x-values in a coordinate pair. Therefore, the domains would be -6, 5, 0, and -2.
I hope this helped you!
Select all that are equivalent to 43.
12
64
4 × 3
4 × 4 × 4
(4 × 4) × 4
3 × 3 × 3 × 3
Answers
Answer:
6
Step-by-step explanation:4/9
Answer:
43 Is a prime number
The average winter temperature at the South Pole is -49 degrees Celsius. The coldest temperature recorded in Antarctica was 40.6 degrees Celsius colder than the average winter temperature at the South Pole. What was the coldest recorded temperature in Antarctica?
Answers
Answer:
The coldest temperature at Antarctica is -89.6 degrees celsius
Step-by-step explanation:
Here, we are interested in calculating the coldest temperature in Antarctica.
In the question, we are simply told that the coldest Antarctica temperature was 40.6 colder than the average winter temperature at the south pole.
The average winter temperature at south pole = -49 degree celsius
The coldest temperature is thus -49-40.6 = -89.6 degrees celsius
Answer:
95
Step-by-step explanation:
What is the solution to 8x - 3(2x - 4) = 3(x - 6)?
Answers
Answer:
x = 30
I hope this helps!
Which equation does NOT represent a function?
O A. Y= 3x^2– 5
O B. x = y^2– 9
O C. Y = 12
O D. 3x + 4y = 6
Answers
There’s no x variable
Dillon deposited 3/4 of his paycheck into the bank. If he deposited $46.50 into his bank account, what was the amount of the paycheck?
Answers
Answer:
$62
Step-by-step explanation:
Take $46.50 and divide it by 3 to get 1/4 of the paycheck
46.50/3 = 15.50
Then multiply 15.50 by 4 to get the whole pay check
15.50 x 4 = 62
2. GAME Frita's game piece is on square
24 of a game board. She draws a card
that
says, "Move back 4 spaces." Then
she draws a card that says, “Move back
2 spaces." On which square is Frita's
game piece now?
Answers
Answer:
Square 18.
Step-by-step explanation:
First, you subtract 4 from 24, and get 20, which you subtract 2 from to get your answer: 18.
Hope this helps!
please show work i just don’t understand the wording
Answers
Answer:
they won 52 games
they lost 19 games
the equation is 2x + 33= 71
Step-by-step explanation:
they played 71 games in total
say the amount of games they won is y
say the amount of games they lost is x
using the variables, you can form this equation:
y + x = 71
you also know that they won 33 more games then they lost.
so, y = x + 33
now, you can substitute y for x + 33 in the original equation
x + x + 33 = 71
combine like terms
2x + 33 = 71
subtract 33 from both sides of the equation
2x + 33 - 33 = 71 - 33
2x = 71 - 33
2x = 38
divide both sides of the equation by 2
2x/2 = 38/2
x = 38/2
x = 19
they lost 19 games.
now substitute 19 for x in the equation
y = x + 33
y = 19 + 33
y = 52
they won 52 games
hurry im taking an math summative
Answers
Answer:180 minus 79 is 101
Step-by-step explanation:
can someone please help me with number 18 !! :(
Answers
Answer: The last one.
Step-by-step explanation: