Answer:
5
Step-by-step explanation:
Since, A, B, C, D are collinear.
[tex] \implies A - B - C - D \\
\therefore \: AD = (AB + BC) + CD \\ \therefore \: 18 = AC + CD.. (\because AB + BC =AC) \\ \therefore \: 18 = 8 + CD \\ \therefore \: 18 - 8 = CD \\ \therefore \: 10 = CD \\ \\ \because \: BC + CD = BD \\ BC = BD - CD \\ BC = 15 - 10 \\ BC = 5 \\ [/tex]
PLZ HELP I NEED TO SUMMIT THIS
What’s the value of x in both a & b?
Answer:
a) 7
b) 2 2/7
Step-by-step explanation:
A) 2/7=2/x
x=7
B) 2/7=x/8
cross multiply
16=7x
x=16/7, or 2 2/7, or 2.2857
What is the equation of the line that passes through the point (-2,-2) and
has a slope of 42
Answer:
The answer is
[tex]y = 42x + 82[/tex]Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question the point is (-2,-2) and slope 42
The equation of the line is
[tex]y + 2 = 42(x + 2) \\ y + 2 = 42x + 84 \\ y = 42x + 84 - 2[/tex]
We have the final answer as
[tex]y = 42x + 82[/tex]
Hope this helps you
What is the first step when adding the fractions 2/5+7/10
Answer:
firs find the least common multiple (LCM) of the denominators
Step-by-step explanation:
2/5+7/10
Multiples of 5 = {5,10,15,20,25,30,35...}
Multiples of 10 = {10,20,30,40,50...}
Common multiples = {10,20,30,...}
Least Common Multiples = {10}
2/5+7/10
= 2(2) + 7(1)
= 11/LCM
But the LCM = 10
11/10
[tex] \frac{3}{4} x + \frac{5}{6} = 5x - \frac{125}{3} [/tex]
Answer:
nos agoi o se
Step-by-step explanation:
Answer:
[tex]\boxed{\bold{\huge{\boxed{x = 10}}}}[/tex]
Step-by-step explanation:
=> [tex]\sf \frac{3}{4} x + \frac{5}{6} = 5x - \frac{125}{3}[/tex]
Combining like terms
=> [tex]\sf \frac{3x}{4} - 5x = -\frac{125}{3} - \frac{5}{6}[/tex]
Taking LCM to make the denominator same
=> [tex]\sf \large{\frac{3x-20x}{4} = \frac{-250-5}{6} }[/tex]
=> [tex]\sf \frac{-17x }{4} = \frac{-255}{6}[/tex]
=> [tex]\sf \frac{17x }{4} = \frac{255}{6}[/tex]
Cross Multiplying
=> [tex]\sf 17x * 6 = 4 * 255[/tex]
=> [tex]\sf 102x = 1020[/tex]
Dividing both sides by 102
=> x = 10
A television with a 6:4 screen shows an image with a ratio of 6:5 which creates a letter boxed image. What percent of the screen’s area is occupied by the image? 1.25% 80% 20% 400%
Answer:
i hope this is the right answer 1.25%
Step-by-step explanation:
6:4 and 6:5 is one away from each other so it must me 1.25%
How is mulhplying intergers
Similar to multiplying whole
numbers?
Answer:
Multiplying integers is similar to multiplying whole numbers because integers are whole numbers. An integer is a whole number that is not a fraction.
Hope This Helps :)
Please Please help! I am so beyond stuck. I have figured out what is wrong with the first step but I cant figure out what is going on with the second one!
Answer:
[tex]x<-\frac{1}{2}\text{ or } x>1[/tex]
Step-by-step explanation:
So we have the equation:
[tex]|-4x+1|>3[/tex]
First, note that since the sign is greater than, this is an or inequality (not an "and" inequality). This is the student's first mistake.
So, let's solve this inequality.
Case 1:
[tex]-4x+1>3[/tex]
Subtract 1 from both sides:
[tex]-4x>2[/tex]
Divide both sides by -4:
[tex]x<-\frac{1}{2}[/tex]
The student did not flip the sign when doing this step, hence the incorrect answer.
You correctly spotted the student's mistake. Nicely done!
Case 2:
[tex]-4x+1<-3[/tex]
This is what you're missing: for this second instance, we must flip the sign to less than right away. This is because we are essentially multiplying the 3 by a negative. So, we must flip the sign in order to be correct.
Now solve. Subtract 1 from both sides:
[tex]-4x<-4[/tex]
Divide both sides by -4. Since we're dividing by a negative, flip the sign:
[tex]x>1[/tex]
So, our solutions are:
[tex]x<-\frac{1}{2}, x>1[/tex]
As mentioned previously, this is an or inequality. Therefore, our final answer is:
[tex]x<-\frac{1}{2}\text{ or } x>1[/tex]
Edit: Improved Answer
How do you evaluate 6-2
Answer:
4
Step-by-step explanation:
6 - 2 = 4
Find the point P where the line x = 1 + t, y = 2t, z = -3t intersects the plane x + y - z = -5.
Replace x, y, and z in the plane's equation with their appropriate parametric equations, then solve for t, then evaluate x, y, and z at this t to find the point P.
[tex]x+y-z=-5[/tex]
[tex](1+t)+2t-(-3t)=-5[/tex]
[tex]6t+1=-5[/tex]
[tex]6t=-6[/tex]
[tex]t=-1[/tex]
[tex]\implies x=0,y=-2,z=-3[/tex]
So the point P is (0, -2, -3).
Here, we are required to find the point, P where the lines:
x = 1 + t x = 1 + ty = 2t x = 1 + ty = 2tz = -3tintersects the plane x + y - z = -5.
The point, P where the lines intersects the plane is given by;
he point, P where the lines intersects the plane is given by;P (0, -2, 3)
Therefore, to find this point, we have to substitute for x, y and z in the equation of the plane.
Therefore, we have;
1 + t + 2t -(-3t) = -5.therefore 6t = - 6and ultimately t = -1To get the coordinates of the point P where the lines intersect the plane; we can then find x, y and z by substituting t into each of their equations.
Therefore;
x = 1 + (-1) = 0x = 1 + (-1) = 0y = 2(-1) = -2x = 1 + (-1) = 0y = 2(-1) = -2z = -3(-1) = 3Therefore, the point, P where the lines intersects the plane is given by;
P (0, -2, 3)Read more:
https://brainly.com/question/22163485
Does anyone know how to answer this? The Probability that you draw a mechanical pencil from a group of 25 mechanical and wooden pencils is 3/5. How many are mechanical pencils?
Answer:
There are 15 mechanical pencils
Step-by-step explanation:
Recall that the probability of drawn a mechanical pencil from a larger group is given by the quotient of the number of mechanical pencils divided the total number of pencils in the sample.
so that means:
[tex]P=\frac{x}{25} \\[/tex]
being x the number of mechanical pencils and 25 the total of all pencils in the sample. Since they give as P as 3/5, we can solve for the number of mechanical pencils (x) using the equation:
[tex]P=\frac{x}{25} \\\\\frac{3}{5} =\frac{x}{25}\\x=\frac{3\,*\,25}{5} \\x=15[/tex]
So there are 15 mechanical pencils in the sample.
Can somebody help me pleaseeeee
Multiply -5/8•(-3)
Answer:3 [ 1 5 -5 6 0 0 ]
3 x 1 = 3
3 x 5 = 15
3 x -5 = -15
3 x 6 = 18
3 x 0 = 0
3 x 0 = 0
[ 3 15 -15 18 0 0 ]
[ 3 15 ]
[ -15 18 ]
[ 0 0]
The answer is B and I hope I explained this well for you
Step-by-step explanation:
Answer:
1.875
Step-by-step explanation:
Determine the number of degrees for the angle in section B of the pie chart . Round to the nearest whole degree Please assist me
Answer:
115°
Step-by-step explanation:
Measure of the degree of the angle represented by section B on the chart = percentage in the pie chart ÷ 100 × 360. A full circle makes 360°.
Section B represents 32% of the pie chart, therefore, number of degrees for section B = [tex] \frac{32}{100}*360 = \frac{32*360}{100} [/tex]
[tex] = 115.2 [/tex]
Section B = 115° (to the nearest whole number)
Which angles are congruent to each other?
Answer:
<8 and <6 are congruent to each other.
Step-by-step explanation:
A protractor was used to determine the answer. They both measured to 140 degrees.
Add 15,7,.5 PLEASE WILL MARK U BRAINLEST PLEASE HELP
Answer:
27
Step-by-step explanation:
15+7=22+7=22
Answer: 27
Step-by-step explanation:
15+7=22
22+5=27
I hope this helped!!
60 is 150% of what in math
Answer:
40% is the answer to your question.
If M2BAC = (3x – 1)º, m_chD = (6x + 10)°, m2DAE (2x + 6)°, and m_BAE = 103°, then find the mZCAD
Answer:
mZCAD=310°
Step-by-step explanation:
M2BAC=1,m2DAE=3 and m-BAE=0 therefore solution will be 310°
−6x+2x−5+2: simplified
Answer:
-4x-3
Step-by-step explanation:
all you do is combine like terms: -6x+2x=-4x and -5+2=-3
so the answer would be -4x-3
I feel that I can divide the least count into 5 segments. How would I express my uncertainty of this ruler with one significant digit?
Answer:
depression
Step-by-step explanation:
Setup an equation then find x
Answer: 2
Step-by-step explanation:
the difference of a number k and 8.1 is greater than 24
Difference means subtract.
Set up the equation:
K - 8.1 > 24
Solve for k by adding 8.1 to both sides:
K > 32.1
Enter the answer in the space provided.
Mariah walks 6 miles per hour. Bobby walks 4, 400 yards in a half-hour.
Given that 1 mile = 1,760 yards, how much faster does Mariah walk than Bobby, in miles per hour?
Enter the answer in the space provided.
Shaun rides his bike at a speed of 19 miles per hour. How far, in miles, does Shaun travel in 25 minutes when rounded to the nearest
hundredth?
Answer:
Part 1: 1 mile.
Part 2: 1.32 mph.
Step-by-step explanation:
The correct speed of Mariah walks faster than Bobby, in miles per hour - 1 mile per hour.
Shaun travel in 25 minutes in the given case, when rounded to the nearest hundredth - 7.92 miles.
Part 1.
Given:
speed of Mariah = 6 miles per hour
speed of Bobby = 4, 400 yards per half hour
= 8800 yards per hour
1 mile = 1760 yards
Solution:
To find out the speed difference of both Mariah and Bobby, we need to convert speeds in the same units that is mile:
=> speed of bobby = [tex]\frac{8800}{1760}[/tex]
=> speed of bobby = 5 miles per hour
as it is given 1 mile = 1760 yards
=> Now, the speed difference between Mariah and Bobby is
= 6 - 5
= 1 mile per hour.
Thus, Mariah walks faster than Bobby, in miles per hour - 1 mile per hour.
Part 2:
Given:
Speed of Shaun = 19 miles per hour
distance traveled in 25 minutes = ?
Solution:
To find out the traveled distance by Shaun in 25 minutes we need to find the speed per minute:
1 hour = 60 minutes
So as given, 19 miles per 60 minutes
then speed per minute = [tex]\frac{19}{60}[/tex]
= 0.316
then traveled in 25 minutes-
=> [tex]0.316*25[/tex]
=> = 7.92
Thus, Shaun travel in 25 minutes in the given case, when rounded to the nearest hundredth - 7.92 miles.
Learn more about:
https://brainly.com/question/12696792
Help i dont understand this please help :(
Answer:
-16
Step-by-step explanation:
-5(4)+2
-18+2
-16
What is 1.13 with 13 repeating as a fraction
Answer:
x = 17/15 or 1 2/15
Step-by-step explanation:
I got it directly from Khan
Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function. f(x) = -2x4 + 4x3 + 3x2 + 18
Step-by-step explanation:
USING RATIONAL ROOT THEOREM:
a = ±2
Factors of a are ±1 ,±2
For the constant term
c= ±18
The factors of c are ±1,±2,±3,±6,±9 and ±18
THE POSSIBLE ZEROES ARE GIVEN BY
c/a=(±1,±2,±3,±6,±9,±18)/(±1 ,±2)
Therefore, the possible zeroes are
±1,±2,±3,±6,±9,±18,±1/2,±3/2,±9/2
write an equation for the difference of p and 4
Answer:
p-4
Step-by-step explanation:
Difference means subtraction
p-4
Answer: p - 4
Explanation: The word difference tells us that we need to subtract.
So the difference between p and 4 can be represented as p - 4.
Question 3
4
If JL = 9x - 5, LR = 7x - 2, and JR = 35, find JL. Round your answer to the nearest tenth.
Answer:
JL = 166 units
Step-by-step explanation:
Given that,
JL = 9x - 5, LR = 7x - 2, and JR = 35
Let us assume that, R is the midpoint of J and L. So,
JL = JR + RL
Putting all the values,
9x - 5 =35 + 7x - 2
Taking like terms together as follows :
9x-7x = 33 + 5
2x = 38
x = 19
Put the value of x inm, JL = 9x-5
JL = 9(19)-5
JL = 166
The value of JL is 166 units.
Which number is the same distance from 0 on a number line as 3/2 answers -3 -3/2 -2/3 2/3 3
Answer:
-3/2
Step-by-step explanation:
You are going a distance of 3/2 to the right, to get 3/2. You are going the same distance of 3/2 to the left, to get -3/2. Same distance traveled on a number line, just in different directions making it positive/negative.
Find the value of Y
a) 10
b)28
c)20
d)152
e)128
Answer:
I THNK MAY BE 28 by putting value of x and finding value of y.
Step-by-step explanation:
4x-12=2x+8
or,4X-2x=12+8
or,2x=20
or,x=20/2
therefore, x=10
then do, 4x-12+7y+12=180 the answer which comes is your required ans . it may be 28
(-5) (-10) what does this equal
Answer:
50
Step-by-step explanation:
When parethesis are next to each other than you need to multiply them.
- times - is positive so -5*--10 would be 50.