GEOMETRY: need some help on these equations, i'm giving a lot of points for this.
Answers
Answer:
1) ML=93
2) GE=58
Step-by-step explanation:
1)
We want to find ML.
So, we need to find x first.
Note that the entire segment, NK, is the addition of the segments NM, ML, and LK. So:
[tex]NM+ML+LK=NK[/tex]
And we know their equations. So, substitute 110+4x for NM, x+103 for ML, 70 for LK, and x+243 for NK. Thus:
[tex](110+4x)+(x+103)+(70)=x+243[/tex]
On the left, combine like terms:
[tex](4x+x)+(110+103+70)=x+243[/tex]
Add:
[tex]5x+283=x+243[/tex]
Subtract 283 from both sides:
[tex]5x=x-40[/tex]
Subtract x from both sides:
[tex]4x=-40[/tex]
Divide both sides by 4:
[tex]x=-10[/tex]
So, the value of x is -10.
Substitute this into ML to find it. So:
[tex]ML=(-10)+103[/tex]
Add:
[tex]ML=93[/tex]
And we're done!
2)
Here, we want to find GE. This means solving for x again.
Note that HF plus FE equates to the entire segment.
HG plus GE also equates to the entire segment.
Thus:
[tex]HF+FE=HG+GE[/tex]
Substitute 3x-129 for HF and 4 for FE.
Substitute 13x-993 for HG and 3x-185 for GE. Thus:
[tex](3x-129)+(4)=(13x-993)+(3x-185)[/tex]
Combine like terms on both sides:
[tex](3x)+(-129+4)=(13x+3x)+(-993-185)[/tex]
Add or subtract:
[tex]3x-125=16x-1178[/tex]
Add 1178 to both sides:
[tex]3x+1053=16x[/tex]
Subtract 3x from both sides:
[tex]1053=13x[/tex]
Divide both sides by 13:
[tex]x=81[/tex]
So, the value of x is 81.
To find out GE, GE is the 3x-185. So:
[tex]GE=3(81)-185[/tex]
Multiply:
[tex]GE=243-185[/tex]
Subtract:
[tex]GE=58[/tex]
And we're finished!
Related Questions
What are the 2 steps that are wrong
Answers
Answer:
Step-by-step explanation:
Step 2 to Step 3.
This is a major error. Minus signs always create trouble.
4 - 21 = -17
To this you add 30
- 17 + 30 = 13
So the answer is sqrt(13)
Answer:
Step 3 to step 4
HELP PLEASE!!! Evaluate the expression 12 + {-4 + 2[1 + 3(-5 – 3)]} and enter your answer.
Answers
explanation: you start with the innermost parentheses and work out
Please help ASAP T-T Will mark brainiest if you answer correctly and show all your work! Random answer will be reported. Thank you!
Answers
the slope is 3/5
the y-intercept is (0,2)
Answer:
This is "vanessahu2007" 's another account. I answer this question in order to mark "eliamns" brainiest. Please do not report.
Step-by-step explanation:
First person to answer gets brainliest find the domain and range of the following absolute functions . F(x)=|x+6|
Answers
Answer:
yes
Step-by-step explanation:
Answer:
B is the answer to f(x)= |x+6|
Step-by-step explanation:
I used desmos for these types of problems and looked at the table.
When a snack bar opens, the cash register contains at least 50 dollars in $1 and $5 bills. Which of these inequalities represents this situation, where x is the number of $1 bills and y is the number of $5 bills?
Answers
Answer:x + 5y is greater than or equal too $50
Step-by-step explanation:
If x is equal to the amount of $1 then there is no need for a coefficient. Being that y is represented as $5 there needs to be a coefficient of because it’s five dollars times however many you have. Then it is greater than or equal to $50 because the problem states there is at least $50 in the register.
E and F are complementary. If m E = 9x - 38 and mF = 2x + 40, find m F pls I need help
Answers
Answer:
m[tex]\angle[/tex]F = 34°Step-by-step explanation:
If E and F are complementary I means that the sum of their angles add up to 90° since all complementary angles have the sum of their angles equal to 90°
To find m[tex]\angle[/tex]F add m[tex]\angle[/tex]E and m[tex]\angle[/tex] F and equate it to 90 to find x then substitute it into the expression for m[tex]\angle[/tex]F
Thats
m[tex]\angle[/tex]E + m[tex]\angle[/tex]F = 90
[tex]\rarr[/tex] 9x - 38 + 2x + 40 = 90
[tex]\rarr[/tex] 11x + 2 = 90
[tex]\rarr[/tex] 11x = 90 - 2
[tex]\rarr[/tex] 11x = 88
Divide both sides by 11
x = 8
Now we have
if m [tex]\angle[/tex]F = 9x - 38
m[tex]\angle[/tex] F = 9( 8) - 38
m[tex]\angle[/tex]F = 72 - 38
We have the final answer as
m[tex]\angle[/tex]F = 34°Hope this helps you
f(x) = h•g+1
h(x)= 3(x - 1) – 2(2x + 1
g(x)= 8 + 2(x - 1)
Answers
Answer:
g = y - 1/h
h = −x − 5/x
g = 2x + 6/x
.what is formula to calculate sqare
Answers
Answer:
Area = a2
a = length of side
reflect point R(6,10 ) over the y-axis. The coordinates for R' are
Answers
Answer: (6,-10)
Step-by-step explanation:
When you reflect a point over the y-axis, the sign of the number changes. It goes from negative to positive and positive to negative. Since both our numbers are positive, only the y-coordinate become negative because it is only being reflected over the y-axis, not x-axis. (6,-10)
The sum of four consecutive integers is 106. What is the largest number?
Answers
Answer:
28
Step-by-step explanation:
25+26+27+28=106
The point (17, -9) is translated to the point (6, 2) what is the description of the translation
Answers
Some friends played a board game. During the game, one unlucky player had to move back 8 spaces 5 turns in a row. Find a number to represent that player's movements for those 5 turns.
NEXT
A football team loses 8 yards on each of 4 consecutive plays. Find the total change in yards from where the team started.
The total change is
nothing yards. plsssssssssssssssssssssssssssss help. their i raised the points'
Answers
Answer:
I think that it would be -40
Step-by-step explanation:
I think this because they had to go back 40 spaces because 8 x 5 = 40.
The required number is 40 which represents that player's movements for those 5 turns.
Given that,
Some friends played a board game. During the game, one unlucky player had to move back 8 spaces 5 turns in a row.
To determine the number to represent that player's movements for those 5 turns.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
For every turn, he has back 8 spaces
To the number of spaces back in 5 turns,
Total spaces back = 5 * 8
= 40
Thus, the required number is 40 which represents that player's movements for those 5 turns.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
solve |-3d | =15 please lol
Answers
Answer:
[tex]d=-5 \text{ or } d=5[/tex]
Step-by-step explanation:
[tex]|-3d|=15\\\\-3d=15 \text{ or } -3d=15\\\\\frac{-3d=15 \text{ or } -3d=15}{-3}\\\\\boxed{d=-5 \text{ or } d=5}[/tex]
Hope this helps.
How many thousands are in 4 hundread thousand and 4 tens?
Answers
Answer:
400
Step-by-step explanation:
400,040 has 400 thousands.
Divide.
-3 1/3 divided by 9
Answers
Answer:
-10/27 (or) -0.37037037...
Step-by-step explanation:
-3 1/3÷9=
-10/3÷9=
-10/27 (or) -0.37037037...
Answer:
-10/27
Step-by-step explanation:
please answer number 6
Answers
One car alarm is set to go off every ten seconds. Another car alarm is set to go off every 5 seconds, and a third car alarm is set to go off every 4 seconds. If they all go off at the same time due to a loud clap of thunder, how long will it take until they all sound at the same time again?
Answers
Answer:
20 seconds
Step-by-step explanation:
Alarm 1 = every 10 seconds
Alarm 2 = every 5 seconds
Alarm 3 = every 4 seconds
If they all go off at the same time due to a loud clap of thunder, how long will it take until they all sound at the same time again?
To determine how long it will take until they all sound at the same time again, find the lowest common multiple of the three alarm
Alarm 1 (every 10 seconds) = 20, 30, 40, 50, 60, 70, 80, 90,
Alarm 2 (every 5 seconds) = 10, 15, 20, 25, 30, 35, 40, 45, 50
Alarm 3 (every 4 seconds) = 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48
The lowest common multiple of Alarm 1 (every 10 seconds), Alarm 2 (every 5 seconds) and Alarm 3 (every 4 seconds) is 20 seconds
Therefore, they will all sound at the same time again in the next 20 seconds
area of a isocles triangle whose both sides are 5 cm and one side 4cm
Answers
Answer:
9.17cm (3s.f.)
Step-by-step explanation:
Using Pythagoras Theorem,
5² = 2² + (Height of Triangle)²
Height of Triangle = 4.5826cm (5s.f.)
Area = ½ × 4 × 4.5826
= 9.1652cm (5s.f.)
= 9.17cm (3s.f.)
Overnight, the temperature dropped 1.3 degrees every hour. How many hours did it take the temperature to drop 7.8 degrees?
Answers
Answer:
what was the temperature at first?
Please help ! Easy 7th grade math . It’s talking about integers !!
Answers
Answer:
#7- 10
#8- 2
#9- 8
Step-by-step explanation:
1/12 divided by 1/3 answer plzzzzzzzzzz
Answers
Answer:
.25 or 1/4
Step-by-step explanation:
Answer:
hello your answer is 36
Step-by-step explanation:
hope i helped
Which is not a pair of congruent angles in the diagram below?
A. Angles BDA and DBC
B. Angles ABD and BAD
C. Angles ABD and BDC
D. Angles BCD and BAD
Answers
Answer:
B. Angles ABD and BAD
Step-by-step explanation:
The way that you tell which angles are congruent, are based on the angle marks. Angle A and C are congruent because they both contain 3 of the congruency marks, meaning they would equal the same degree. The answer is B because starting with angle BDA, B is your starting point, whereas D is the angle and A is the point you end on. With angle BAD, you start at point B and end at D, making angle A the one you're looking at. Because angle A contains 3 congruency marks, while angle B only contains one, this makes the two angles NOT congruent. Hope this helps. :)
Answer:
angles ABD and BAD
Step-by-step explanation:
The congruent angles match in the number of angle markings on the diagram.
The result of which expression will best estimate the actual product of (Negative four-fifths) (three-fifths) (Negative StartFraction 6 over 7 EndFraction) (five-sixths)?
Answers
Answer:
12/35
Step-by-step explanation:
Given the expression;
-4/5(3/5)(-6/7)(5/6)
First multiply the first two brackets
-4/5×3/5
= -12/25
Multiply the last expression in its lowest term
= -6/7×5/6
= -30/42
= -15/21
= -5/7
Multiply the resulting expressions together
= -12/25×-5/7
= -12/5×-1/7
= 12/35
Hence the beat estimate for the actual product is 12/35
Answer:
B
Step-by-step explanation:
Took the test ;)
m(x) = 4x + 15; m(x) = 7
Answers
Hi there! :)
[tex]\huge\boxed{x = -2}[/tex]
m(x) = 4x + 15
Find the value of "x" that would satisfy m(x) = 7:
4x + 15 = 7
Subtract 15 from both sides:
4x = -8
Divide both sides by 4:
x = -2.
4. Compare/contrast the data sets below. Which data set has a range of 9, a mean of
15, a median of 14, and a mode of 11? How do you know (show work)? Why do the
other choices fail to meet the criteria? State one reason why each of the other
choices fail.
A. 11, 11, 13, 15, 20
B. 5, 11, 14, 14, 31
C. 11, 11, 14, 19, 20
D. 6, 10, 14, 15, 15
Answers
Let's first find the mode of each data set.
Mode = the largest value - the smallest value.
A. 20 - 11 = 9
B. 31 - 5 = 26
C. 20 - 11 = 9
D. 15 - 6 = 9
B fails because its mode does not equal 9.
Let's find the mean of A, C, and D
The mean = the sum of all data values divided by the number of data values.
A. (11 + 11 + 13 + 15 + 20) / 5 = 14.2
C. (11 + 11 + 14 + 19 + 20) / 5 = 15
D. (6 + 10 + 14 + 15 + 15) / 5 = 12
Options A and D fail because their mean does not equal 15.
Let's find the median and mode of option C
Median = the value which falls into the middle of our data set
11, 11, 14, 19, 20 = 14
Mode = the value which appears most often
In option C, 11 appears twice and every other number appears once, therefore, 11 is the mode.
© Kin travels 600 miles by train at an average speed of 120 mph.
Ayaan flies the same distance at an average speed of 160 mph.
Find the difference between their travel times.
Give your answer in hours.
Please answer asap!!
Answers
Answer: 1.25 hours
Step-by-step explanation: 600/120=5. Kin‘s travel time is 5 hours. 600/160=3.75. 5-3.75=1.25.
solve 2x^2 = x^4 +1 to find the value of x
Answers
Answer:
x= -1
x=1
Step-by-step explanation:
cuál es el resultado de esto (4^3) (5^6)?
Answers
Answer:
100³ or 1000000 or 10^6
Step-by-step explanation:
(4³)(5^6)
(20³)(5³)
(20×5)³
100³
Answer:
I think that the answer would be 1000000
Trapezoid ABCD is reflected over the line y - x. What rule shows the input and output of the reflection, and what is the new coordinate of A (1 point)
B
0
A
(X,Y)--(-x): A is at (1,5)
(X,Y) (YX); A' is at (1-5)
(x,y)--(-x,y); A' is at (5, 1)
(x,y)--(-X, "): A' is at (5, -1)
Answers
Answer:
(x,y)--(-X, "): A' is at (5, -1)
Step-by-step explanat
Answer:
(x,y)→(−x,−y); A' is at (5, −1)
Step-by-step explanation:
4a-(a+6)=12-36 please help i am confused again lol
Answers
Answer:
a=6
Step-by-step explanation: