Answers
Answer:
3.625
Step-by-step explanation:
Line segment IK = 35.
This is a parallelogram, in which:
LJ is a line bisector of IK; line Imidpoint = line segment kmidpoint.
IK = (4x + 3) + (4x + 3)
35 = (4x + 3) + (4x + 3)
Simplify. Combine like terms:
35 = 8x + 6
Simplify. Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS =
Parenthesis
Exponents & Roots
Multiplication
Division
Addition
Subtraction.
First, subtract 6 from both sides:
35 (-6) = 8x + 6 (-6)
35 - 6 = 8x
29 = 8x
Divide 8 from both sides:
(29)/8 = (8x)/8
x = 29/8
x = 3.625
3.625 is your answer.
~
Answer:
X= 8
The reason why X equals 8 is because the gave you the measurement of points I and K. They have created an expression to find points I and K and all they ask you to do is find the value of x.
To find the value of x, think about the measurement of points I and K. The measurements of point I and K equals 35. So we have to substitute a number for x that would make the expression equal 35. This is how I did it, so I thought 4 times what would get me close to 35. Then 4*8 came to my head and that automatically equals 32 and then when you add the three you get 35!
I hope I've helped!
Related Questions
Given:
m∠QPS=107∘
m∠RPS=4x+27∘
m∠QPR=9x-115∘
Find m∠QPR
**This was on Khan Academy, so please hurry lol**
Answers
Answer:
m∠QPR = 20°
Step-by-step explanation:
If we make a sketch of the triangle, it will be observed, that line R bisects angle P.
Considering Triangle, ΔQPS;
∠QPS=107∘
Considering triangle, QPR;
∠QPR=9x-115∘
Considering triangle, RPS;
∠RPS=4x+27∘
Thus, ∠RPS + ∠QPR = ∠QPS
4x+27° + 9x-115° = 107°
13x - 88° = 107∘
13 x = 107∘ + 88∘
13x = 195°
x = 195°/13
x = 15°
m∠QPR = 9x - 115°
= (9 x 15) - 115°
= 135° - 115°
= 20°
Therefore, m∠QPR = 20°
Probability
Consider the following set of numbers:
{1,2,3,4,5,6,7,8,9,10)
What is the probability of drawing an odd number or a
multiple of 3?
9/10
1/2
7/100
3/5?
Answers
Answer:
1/2
Step-by-step explanation:
64. In a pond of 1,600 fish, 25% of the fish are trout. The remaining fish are bass. How fewer trout are there than bass?
Answers
Answer:
There are 400 trout and 1,200 of them are bass.
Don’t take my word for it though.
The interest received on a savings account varies directly with the amount deposited. Daniel received $55.35 in interest on $1230 he deposited. How
much interest would Daniel have received if he had deposited $2000 into
his account? *
A. $1,285.35
B. $34.04
C. $90.00
D. $44,444.44
Answers
Answer:
90.00
Step-by-step explanation:
because all they did was add a couple of hundred that would not boost the 55.35 all the way to the thousands so A is not right It's not B because 55.35 is more than 34.04 so it's not B it's not D because 44,444.44 is just way too high it's even higher than option A.
Arial says that, for any pair of linear relations, if the coefficients of the y-terms are equal and the coefficients of the x-terms are equal, the graphs of the two lines will be parallel.
a. Give an example for which Arial's claim is true.
b. Give an example for which Arial's claim is false.
c. Suggest an improvement to Arial's claim.
Answers
Answer:
a. Give an example for which Arial's claim is true.If linear relations have equal coefficient about the independent variable, then those linear relations are parallel. For example, [tex]y=3x+4[/tex] and [tex]y=3x-5[/tex].
Notice that the coefficient of the dependent variable must be also equal, otherwise it would change the slope of the expression and they wouldn't be parallel.
b. Give an example for which Arial's claim is false.The statement is not false.
c. Suggest an improvement to Arial's claim.An improvemente would be that the constant term no need to be equal too, between linear relations, because they can be at "differecent heights", sort of speak.
Jake received a student loan for $12,000. He plans on paying off the loan in five years. At the end of five years, J. Cole have paid $3600 in interest. What is a simple interest rate on the student loan?
Answers
Answer:
The simple interest rate on the student loan is 6%.
Step-by-step explanation:
To solve for the simple interest rate, use the formula for total simple interest:
[tex]I = Prt[/tex]
[tex]I[/tex] = total interest paid
P = principal, or starting value
r = interest rate in decimal form
t = time in years
State known values
P = 12,000
t = 5
[tex]I[/tex] = 3,600
Substitute known values and isolate "r"
[tex]I = Prt[/tex]
3,600 = (12,000) (r) (5)
3,600 = (60,000) r
r = 0.06
Since "r" is given as a decimal, convert this to a percentage by multiplying by 100.
0.06 = 6%
∴ The simple interest rate on the student loan is 6%.
Answer=6%
Step-by-step explanation:
Principal(P)=12000
Time(T)=5 yrs
Interest(I)=3600
We have,
I=PTR/100
3600=(12000*5*R)/100
3600*100=60000*R
R=360000/60000
R=6%
Simple Probability - Item 20781
Question 4
Which of the following events has a probability closest to 1?
CLEAR
CHECK
It will snow in July in Phoenix, Arizona.
If you roll a die, it will come up with an even number.
If you flip a coin, it will come up either heads or tails.
The next child born in the United States will be a girl.
O
Answers
Answer:
C. If you flip a coin, it will come up either heads or tails.
Step-by-step explanation:
A. My guess is it doesn't rain much in Phoenix in July. A probability of 1 means it will happen for sure, so this is not it.
B. A die has 3 even numbers and 3 odd numbers. The probability of rolling an even number is 3/6 = 0.5. This is not it.
C. If you flip a coin, you either get heads or tails. The probability of heads or tails is 1 since one of the two outcomes will always happen. This is the answer.
D. The probability of the birth of a girl is 1 out of 2, so it is 0.5. This is not it.
Answer:
If you flip a coin, it will come up either heads or tails. It either will fall on heads or tails everytime so that is closest to one.
Step-by-step explanation:
What is the value of g?
The image is of a circle with a tangent and a secant, which are intersecting at an angle 38 degrees. Measure of smaller arc cut by them is g degrees and that of bigger arc is 119 degrees.
A. 124
B. 43
C. 100
D. 86
Answers
We have been given a circle with a tangent and a secant, which are intersecting at an angle 38 degrees. We are asked to find the measure of arc g.
We can see that angle with 38 degrees measure is a secant tangent angle outside the circle.
We know that measure of an angle formed by intersection tangent and secant outside circle is half the difference of intercepted arcs.
[tex]38^{\circ}=\frac{1}{2}(119^{\circ}-g^{\circ})[/tex]
[tex]38^{\circ}\cdot 2=\frac{1}{2}\cdot 2(119^{\circ}-g^{\circ})[/tex]
[tex]76^{\circ}=119^{\circ}-g^{\circ}[/tex]
[tex]76^{\circ}+g^{\circ}=119^{\circ}-g^{\circ}+g^{\circ}[/tex]
[tex]76^{\circ}+g^{\circ}=119^{\circ}[/tex]
[tex]76^{\circ}-76^{\circ}+g^{\circ}=119^{\circ}-76^{\circ}[/tex]
[tex]g^{\circ}=43^{\circ}[/tex]
Therefore, the measure of smaller arc is 43 and option B is the correct choice.
Find the distance between (6, −2) and (1, −2).
Question 14 options:
5 units
6 units
7 units
4 units
Answers
Answer:
5 units
Step-by-step explanation:
the formula is delta y over delta x.
The distance between -2 and -2 is 0
The distance between 6 and 1 is 5
So, it's 5 units.
Hope this helps :)
Find the area. Will mark brainliest.
Answers
Answer:
98... BTW Google has a calculator to figure this out :) brainliest pls
Answer: why dont you find your own, we have same brain capacity, or you have less?
Step-by-step explanation: brainiest
?????HELPPPP PLEASE
Answers
Answer: choices 1 and 4
Step-by-step explanation:
A central angle is the angle that forms when two radii meet at the center of a circle. So the answers are the ones with point D in the middle.
Please Help!!!!!
I need the answer!!!!
Answers
Answer:
It's the first one
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
x=y
they are the same numbers
17. Which of the following forces is not a
long-range force?
A) gravitational force
B) friction
() electric force
D) magnetic force
Answers
Answer: D. Magnetic Force
Step-by-step explanation:
The range isn't compatible from a long distance. Only when close to contact.
Answer:
the answer is magnetic force
hope this helps u
need help with this question it’s a mastery grade!
Answers
What is the surface area of the cylinder with height 5 m and radius 8 m?
Round your answer to the nearest thousandth.
Answers
Answer: 653.45m²
I got it right thats why
The measure of an angle is 15⁰. What is the measure of a complementary angle?
Answers
Answer:
75
Step-by-step explanation:
Because to find a complementary angle you take 90 and subtract it from the angle you already have, then that would be your answer. Complimentary angles are a pair of angles that add up to 90.
PLS HELP NEED TO PASS TEST :)))))
Find the surface area of the regular pyramid shown to the nearest whole number. The figure is not drawn to scale.
351 m^2
415 m^2
542 m^2
790 m^2
Answers
Hope this help
A square pyramid has a base side length of 20.4cm and a height of 18.2cm which square pyramid is similar
Answers
Answer:
C) base side length = 30.6 cm, height = 27.3 cm
Step-by-step explanation:
Answer:
c on ed
Step-by-step explanation:
PLEASE HELP - Select the TWO sets of points that CANNOT belong to a linear function.
Answers
We see for each row the x coordinates are in arithmetic progression, with a constant difference between successive points. For example in A x coordinates 3-5=1-3. So for this to be a line, the same has to be true of the y coordinates; they have to be in arithmetic progression.
A. 5/2, 3/2, 1/2 is just 5,3,1 (constant factors don't matter) so those are in arithmetic progression like the x coordinates so we have a line.
B. 1/2, 1, 3/2. In AP, a line
C. -1/2, -1/3, -1/4 multiplying by common denominator -12 makes 6, 4, 3. Those aren't in arithmetic progression. Not a line.
D. 2,3,4 in AP, a line.
E. 3/4, 1 3/4, 2 3/4 mixed numbers but obvious AP.
Answer: C
15 points for this!! ( btw d is 90 it got cut off)
Answers
X = 90
In a quadrilateral there is 360 degrees. You add up all the given points and subtract then from 360 and you get 90.
So the answer is D.
Hope this helps !
Answer:
The value of x is D) 90°
Step-by-step explanation:
The sum of interior angles in a quadrilateral is 360°
As the total interior angles in a quadrilateral is 360 to work this out you would first need to work out the total of the angles given You can do this by adding 101 and 75 and 94, this gives you 270. This is because it tells us how much of that 360 degree total has been used.
The next step is to work out the angle of x. You can do this by subtracting the total angles gives of 270 from the total of 360, this gives you 90 degrees. This is because by subtracting it we are isolating the value of x.
1) Add the values of 94, 101, 75.
[tex]101+94+75=270[/tex]
2) Minus 270 from 360.
[tex]360-270=90degrees[/tex]
obtain all the zeros of the polynomial f[x]=x^4-3x^2-x^2+9x-6 if two of its zeros are-√3 and√3
Answers
Answer:woah
Step-by-step explanation:
the area of the base of a triangular prism is 4.5 and the lenght of the prism is 5. what is the volume of the prism
Answers
Hi! I need to know the height of the prism to solve the volume. Please describe that and I will surely be able to help you. Have a nice day!
The number of hours worked by the employees of Bob's Car Wash in one week are listed.
20, 40, 30, 36, 36, 40, 39, 36, 38
The mean is 35 hours per week and the median is 36 hours per week.
Which statement best explains why the mean is less than the median?
O
A. There are only 9 employees.
O
B. Nobody works more than 40 hours.
O
c. The smallest number is half the largest.
O
d. One worker works much fewer hours than everyone else.
PLEASE HURRY
Answers
Answer:
Option D
One worker works for much fewer hours than everyone else
Step-by-step explanation:
First of all, we will need to clarify the concepts.
The median of a distribution is the middle number in that distribution, after the values have been arranged in either an ascending or descending order.
The mean is a weighted average of a distribution.
The mean has the characteristic of usually being affected by extremely low or extremely high values.
In our case, we have a relatively low value in terms of hours worked. This means that in the distribution, the worker that worked only 20 hours, will affect the mean hours worked by all the workers, making it lower than the median value.
Means give better results, when used to analyse distributions with smaller ranges.
What does the equation, 2 + 2 = fish, really mean?
Answers
Answer:
This is subjective to the viewer of such an equation.
Step-by-step explanation:
Please give brainliest lol
14 is 12 1/2% of what number?
Answers
Answer:
112
Step-by-step explanation:
Is 3x+0y a monomial, binomial or trinomial?
Answers
Answer:
trinomial
Step-by-step explanation:
it has 3 terms. an expression with three terms is a trinomial.
(mark as brainliest)
Answer:
the answer would be monomial
because there is one term it is 3x
0y is not term
what is the negative square root of 3/2
-3/2
there is no negative square root of 3/2
there is no square root of -n
if n is negative, there is no square root
Answers
Answer:
There is no square root of n , if n is negative
Answer:
(D) square root 3/ 3
Step-by-step explanation:
took the assignment test
Determine whether 90.5m .92m is equivalent to each of the following expressions.
Equivalent
Not equivalent
ვნm
81m
92.5m
Answers
Answer:i think it is 92.5
Solve for y: 4.0
2y + 16 = 0
Answers
Answer:
y=-8
Step-by-step explanation:
2y+16=0
2y=-16
y=-8
Which number is divisible by 3?
A 137
B 136
C 138
D 41
Answers
Answer:
C (148)
Step-by-step explanation:
All numbers divisible by 3:
The numbers equal to something divisible by 3
ex:
138=
1+3+8= 12 which is divisible by 3, so 138 is divisible by 3
Answer:
138
Step-by-step explanation:
We know that if the sum of the numbers that make up 138 is divisible by 3, then 138 is divisible by 3. Note: If you divide 138 by 3, you get 46 which is a whole number.
