Answers
Answer:
1. m∠1 = 45°
2. m∠1 = 129°
3. m∠1 = 37°
4. m∠1 = 88°
m∠2 = 42°
m∠3 = 113°
5. m∠1 = 62°
m∠2 = 45°
m∠3 = 24°
6. m∠1 = 128°
m∠2 = 52°
m∠3 = 47°
m∠4 = 133°
7. m∠1 = 41°
m∠2 = 85°
m∠3 = 95°
m∠4 = 85°
m∠5 = 36°
m∠6 = 50°
m∠7 = 107°
8. x = 9°
10. x = 5°
11. x = 7°
Step-by-step explanation:
1. m∠1 = 180° - (76° + 59°) = 45°
m∠1 = 45°
2. m∠1 = 62° + 67° = 129°
m∠1 = 129°
3. m∠1 = 152° - 115° = 37°
m∠1 = 37°
4. m∠2 = 42° (Alternate angles)
m∠1 = 180° - (50° + m∠2) = 180° - (50° + 42°) = 88°
m∠1 = 88°
m∠3 = 180° - (25° + 42°) = 113°
m∠3 = 113°
5. m∠3 = 73° - 49° = 24°
m∠3 = 24°
m∠2 = 118° - 73° = 45°
m∠2 = 45°
m∠1 = 180° - (73° + 45°) = 62°
m∠1 = 62°
6. m∠2 = 52° (Alternate interior angles)
m∠1 = 180° - 52° = 128° (The sum of angles on a straight line)
m∠1 = 128°
m∠3 = 47° (Alternate interior angles)
m∠4 = 180° - 47° = 133° (The sum of angles on a straight line)
m∠4 = 133°
7. m∠3 = 95° (Vertically opposite angles)
m∠2 = m∠4 (Vertically opposite angles)
m∠3 + 95° + m∠2 + m∠4 = 360° (The sum of angles at a point)
2 × 95° + 2 × m∠2 = 360°
m∠2 = (360° - 2 × 95°)/2 = 85°
m∠2 = 85° = m∠4
m∠2 = 85°
m∠4 = 85°
m∠1 = 360° - (85° + 140° + 90°) = 41°
m∠1 = 41°
m∠5 = 180° - 144° = 36°
m∠5 = 36°
m∠6 = 180° - (m∠5 + m∠3) = 180° - (36 + 95°) = 50°
m∠6 = 50°
m∠7 = 360° - (m∠4 - 38° - (180° - m∠6)) = 360° - (85° - 38° - (180° - 50°)) = 107°
m∠7 = 107° (Sum of angles in a quadrilateral)
8. (10·x - 11)° + (3·x - 2)° + (3·x + 1)° = 180°
Using an online application, we have;
(6·x - 12)° = 180°
x = (180 + 12)°/6 = 32°
x = 32°
9. (3·x - 5)° + (7·x + 5)° + 90° = 180°
Using an online application, we have;
10·x = 180° - 90° = 90°
x = 90°/10 = 9°
x = 9°
10. 151° = (11·x - 1)° + (20·x - 3)°
151° = 31·x - 4°
31·x = 151° + 4° = 155°
x = 155°/31 = 5°
x = 5°
11. (14·x - 13)° = (4·x + 13)° + (6·x + 2)°
(14·x - 13)° = (10·x + 15)°
(14·x - 10·x)° = (13 + 15)° = 28°
4·x = 28°
x = 28°/4 = 7°
x = 7°
1. 45°
2. 51°
3. 37°
4. 88°, 42°, 113°
5. 62°, 45°, 24°
6. 128 degrees, 52°,, 47°, 43° 83°
7. I have no clue
8. 12
9. 9
10. 5
11. 7
Related Questions
Name the line of reflection used to map each pre-image to its image.
Please help
Answers
Answer:
Step-by-step explanation:
From the picture attached,
9). When pre-image KLMN is a reflected across x = -2, we get image K'L'M'N'.
Therefore, line of reflection will be x = -2
10). In this picture line of reflection which passes through origin (0, 0) and slope = 1 will be,
y = x.
11). Since, all the points of image and preimage points are equidistant from x-axis, line of reflection will be x-axis or y = 0.
12). Line passing through midpoint of the line joining BB' will be the line of reflection.
Coordinates of B → (5, 3)
Coordinates of B' → (5, 7)
Coordinates of BB' → [tex](\frac{5+5}{2},\frac{3+7}{2})[/tex] → (5, 5)
Therefore, line of reflection will be y = 5.
13). Coordinates of G → (2, 5)
Coordinates of G' → (-2, 5)
Midpoint joining the segment GG' → [tex](\frac{2-2}{2},\frac{5+5}{2})[/tex] → (0, 5)
Therefore, line of reflection → x = 0
14). Line of reflection passing through (0, 0) and slope = -1
y = -x
how many solutions does 12x + 1 = 12x - 10
Answers
Answer:
No solutions
Step-by-step explanation:
First things first we need to get rid of the variables so we subtract -12x from one side to the other.
Now we have 1= -10
In this case, 1 is not equal to -10 so we get no solutions!
(Side note: if they were the same like 3=3 that would be all solutions.)
what is 4 times what = 1?
Answers
Answer:
.25 4(.25) = 1
Step-by-step explanation:
Answer: 4 x 1 =4 - 3=1
Step-by-step explanation:
Ahmed is riding the elevator in a building. The building has floors above and below ground level. Ahmed uses the expression below to describe his movement.
6 + (negative 8)
Answers
Answer:
Ahmed moved 6 floors up, then moved 8 floors down. Because of that he is now 2 floors below ground level.
Step-by-step explanation:
Hey there!
8 - 6 = 2
~I hope I helped you! :)~
M = 2/3, B = -5
M = -5, b = 3/2
M = 2, b = -6
M = -5, b= 2
Answers
Answer: m = 3/2, b = -5
Step-by-step explanation:
When we input these values into slope-intercept form y = mx + b, then we get y = 3/2x -5. When trying out different x values, we get the same points that are on the line such as (2, -2) also the y-intercept is -5, so we know it is a true statement and that the slope 3/2 and y-intercept -5 are the only correct answers for this line.
Eloise bought 2 boxes of crackers to share with her friends. Her friends ate 12 of the first box and 23of the second box.
How many boxes were left over?
Answers
Answer:
how many are in one box?
Step-by-step explanation:
Answer:
5/6 box
Step-by-step explanation:
confirmed!
PLEASE ANSWER IMMEDIATELY, I'LL GIVE BRAINLIEST AND POINTS!!
Answers
Answer:
8000
Step-by-step explanation:
8000
10^6-2*7.2/9
72000/9 = 8000
Grayson is behind on his retirement savings and wants to start saving $1,000 per month so he can retire in 20 years. If he earns 9% a year, compounded monthly, how much money will Grayson have to retire? $622,447 $667,887 $684,254 $724,333
Answers
If Grayson begins saving $1,000 per month and makes 9% a year, compounded monthly, he will have $667,887 in retirement. Therefore, $667,887 is the correct number.
Future Value: What Is It?A financial notion known as future value (FV) gives a worth to an asset based on anticipated factors like future interest rates and cashflows. Knowing how much their money might be in five years, given an anticipated rate of return, may be helpful for an investor. Future value is the idea of taking the investment's current worth, adding anticipated development, and estimating what the investment is going to cost in the future.
To calculate the amount of money Grayson will have at retirement, we can use the formula for the future value of an annuity:
FV = Pmt x (((1 + r/n)^(n*t)) - 1) / (r/n)
where:
FV is the future value of the annuity (i.e., the amount Grayson will have at retirement)
Pmt is the monthly payment ($1,000 in this case)
r is the annual interest rate (9% in this case)
The number of annual increasing times is n. (12 for monthly compounding)
t is the number of years (20 in this case)
Plugging in the numbers, we get:
FV = 1000 x (((1 + 0.09/12)⁽¹²*²⁰⁾) - 1) / (0.09/12)
FV = $667,887.20
Therefore, Grayson will have $667,887 at retirement if he starts saving $1,000 per month and earns 9% a year, compounded monthly. Therefore, the answer is $667,887.
To know more about Future value visit:
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an airplane descends from 15,000 feet at a rate of 200 feet per second.
A. 15,000t + 200
B. 15,000 + 200t
Answers
Answer:
The answer should B, only one makes sense
F^12 x f^12=f to the power of what
Answers
Answer:
[tex]f^{24}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex] , thus
[tex]f^{12}[/tex] × [tex]f^{12}[/tex] = [tex]f^{(12+12)}[/tex] = [tex]f^{24}[/tex]
what is the slope of the line that contains the points in the table ?
Answers
Answer: -2
Step-by-step explanation:
write the equation of the line perpendicular to y= 5/2x+3 that passes through the point (-7,9). Type an answer using slope-intercept form or using the given points in point-slope form
Answers
Answer:
5y = -2x + 31
Step-by-step explanation:
Given equation:
y = [tex]\frac{5}{2} x + 3[/tex]
Coordinate = (-7,9)
Unknown:
Equation of the line perpendicular = ?
Solution:
The slope - intercept format of a line is given as;
y = mx + c
where y and x are the coordinates
m is the slope
c is the y-intercept
y = [tex]\frac{5}{2} x + 3[/tex]
From the given equation; slope is [tex]\frac{5}{2}[/tex]
A line perpendicular will have a slope that is negative and the inverse of this;
slope of perpendicular line = [tex]-\frac{2}{5}[/tex]
Since y= 9 and x = -7;
So;
9 = [tex]\frac{-2}{5} x (-7)[/tex] + C
9 = [tex]\frac{14}{5}[/tex] + C
C = 9 - [tex]\frac{14}{5}[/tex] = [tex]\frac{31}{5}[/tex]
Now,
y = [tex]-\frac{2}{5}[/tex]x + [tex]\frac{31}{5}[/tex]
mulitply through by 5;
5y = -2x + 31
Can someone please explain to me how to work this out?
Answers
Answer:
B
Step-by-step explanation:
the way i work it out is if you take the product and power it to the third you can easily find out which answer is correct. another way, if you don't have a calculator is to look at the last digit in the number in the square root sign.
For example, 3 square root 64 equals 8. you would look at the 4 and try to find 3 numbers that end in 4 OR is divisible three times by the number. 64 is exactly divisible by 4 only 3 times so you know that it can't be 8.
hope this helps!
pleaaase help me, it'll give you 50 points and i'll mark you as brainliest or whatever it's called.
Answers
Answer:
3/16
Step-by-step explanation:
Netflix used to charge $5 per DVD rental and a $10 membership fee. Plex used to charge $2 per DVD and a $60 membership fee. Which inequality best represents when the charges from Netflix are less than Plex?
Answers
Answer:
the charges from Netflix are less than Plex cause there's a 50 dollar gap for the member ship and for the DVD there's only a 3 dollar gap
Step-by-step explanation:
if B is the midpoint of AC, and AC = 8x-20, find BC
3X-1
Answers
3(9)-1= 26
Solving steps for x:
Find the quotient: 8 ÷ 0.5
You can find the quotient by asking how many
are in 8.
Think of the problem as
items, each divided into 2 equal pieces.
The quotient is
.
Answers
Answer:
The answer is...........1:Halves 2:8 3:16
Hurry I only have 5 minutes!!!!!!!!!!! Please help me I don't understand!!!!
The average of the first five numbers drawn was 2499. The first four numbers were 4165,320,7142, and 64. What was the fifth number?
Answers
Answer:
804
Step-by-step explanation:
Answer:
804?
Step-by-step explanation:
maybeeeeeeeeee?
Simplify (1/7) to the 2 power
Answers
Answer:
ill pass
Step-by-step explanation:
The statement as (1/7) to the 2 power is equivalent to 1/49.
What is Expression?
An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it. Examples -
2x + 3y
3x + 5y + z
Given is a statement as (1/7) to the 2 power.
We have the given statement -
"(1/7) to the 2 power".
We can write it as -
[X] = (1/7)²
[X] = 1/7 x 1/7
[X] = 1/49
Therefore, the statement as (1/7) to the 2 power is equivalent to 1/49
To solve more questions on expressions, visit the link below-
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Solve for x
X^2-2x+1=0
X=?
Answers
Answer:
(x-1)(x-1) x=1
Step-by-step explanation:
7(7 + 5r) = 7(2 + 6r) please show work
Answers
Answer:
r=5
Step-by-step explanation:
1. Use the division property
49+35r=14+42r
2. Combine like terms
35=7r
3. Divide
r=5
Answer:
r = 0
Step-by-step explanation:
7 ( 7 + 5r ) = 7 ( 7 + 6r )
First use the ditributive property of multiplication -
49 + 35r = 49 + 42r
Subtract 35r from both sides -
49 = 49 + 7r
Subtract 49 from both sides -
0 = 7r
r = 0
Hope this helped! :)
Carlos saves 18% of his salary every month Last month he saved $63. How much money did Carlos make last month?
Answers
Answer:
$74.34
Step-by-step explanation:
Because $63 + 18% = $74.34
URGENT
What is the distance between the two points (-5, 6) and (8,-4)?
Answers
Given parameters:
Coordinates of the two points = (-5, 6) and (8,-4)
Unknown:
Distance between the two points.
To find the distance between two points, use the expression below;
Distance ² = (x₂ - x₁)² + (y₂ - y₁)²
where;
(-5, 6) and (8,-4)
x₂ = 8 , x₁ = -5 , y₂ = -4 and y₁ = 6
Input the parameters and solve;
Distance² = (8-(-5))² + (-4 - (6))²
= 169 + 100
= 269
Distance = [tex]\sqrt269}[/tex] = 16.4
The distance between the two points is 16.4
Lisa wants to arrange the numbers below in order from LEAST to GREATEST. 1/5, -0.3, 0.01,-1/-4 Which of these represents her list?
Answers
-0.3, 0.01, 1/5, -1/-4
Answer:-.3 , .01 , 1/5 , -1/-4
Step-by-step explanation:
9(6j + 1) + j Help ASAP
Answers
Answer: 55j+9
Step-by-step explanation: distribute 9 through the parentheses and you would get 54j+9+j collect the terms 55j+9 AND YOUR ANSWER IS 55J+9
what is the answer to this 5 ( y + 8)
Answers
Answer:
ijsdbf
dsad
Stepdvds-by-step explanation:
d
Show that the points P(3,4) z Q(7,8) , R(11,4) are the vertices of an isosceles triangle.
Answers
Answer:
i mean its all about drawing the graph.
Step-by-step explanation:
I hope this helps!
HELP ME!!! BRAINLIEST!!!
Answers
Answer:
-3
Step-by-step explanation:
Just simply add 6 to -9 and you would get -3, not sure what else you would need. Just let me know if there is anything else.
Jason spent $20.00 on Takis. If each bag of Takis cost
$2.50, how many lunches did he buy?
Answers
Answer:
8
Step-by-step explanation:
20.00 divided 2.50 = 8.
Answer:
8
Step-by-step explanation:
$20.00/$2.50 = 8
If a = 3 and b = -1, find the value of the following expression.
Answers
Answer:
The required answer is 54.
Step-by-step explanation:
Given that a = 3 and b = (-1) . And we have to find the value of 2a³ b⁴ .
In such kind of problems , just substitute the given values of a and b to get the required answer .
So here ,
= 2a³ b⁴.
= 2 × (3)³ × (-1)⁴.
= 2 × 27 × 1 .
= 54
9Answer:
54
Step-by-step explanation:
2(3)^3 x (-1)^4
2 x (3^3) x 1
2 x 27 x 1
54