Answers
Answer:
x = 3
Step-by-step explanation:
Formula
CE * DE = AE * BE
Notice how the chords cut each other. Also notice how the segments are equated. See the givens.
Givens
CE = 3
DE = x + 11
AE =x+3
BE = 7
Solution
3*(x + 11) = 7(x + 3) Remove the brackets
3x + 33 = 7x + 21 Subtract 21 from both sides
3x + 33 - 21 = 7x Combine the left
3x + 12 =7x Subtract 3x from both sides
12 = 7x - 3x
12 = 4x Divide by 4
12/4 = 4x/4
x = 3
Related Questions
Ivan and Adeline are in a classroom with a chalkboard. They are standing on different halves of the board, and on each half, the number is written. When Ivan's teacher gives a signal, Ivan multiplies the number on his side of the board by and writes the answer on the board, erasing the number he started with. Adeline does the same on each signal, except that she multiplies by . The teacher gives 10 signals in total. How many times (including the initial number) do Ivan and Adeline have the same number written on the board
Answers
Answer:
6 times
Step-by-step explanation:
Given
[tex]Start=2[/tex]
[tex]Ivan=-2[/tex] ---- i.e. multiplies by -2
[tex]Adeline = 2[/tex] --- i.e. multiplies by 2
[tex]n=10[/tex] --- signals
Required
Number of times they have the same number
First, we list out all results of Ivan calculations.
To calculate Ivan's list, we simply multiply the current term by -2.
The 10 signals together with the first term, means there will be 11 terms in total
So, we have:
[tex]Ivan = \{2,-4,8,-16,32,-64,128,-256,512,-1024,2048\}[/tex]
Next, list Adeline's
[tex]Adeline = \{2,4,8,16,32,64,128,256,512,1024,2048\}[/tex]
Compare the elements of the two lists, we have:
[tex]Common= \{2,8,32,128,512,2048\}[/tex]
Hence, they have the same number 6 times.
Two of the three views of a solid are shown. A. What is the greatest number of unit cubes in the solid? Greatest number of unit cubes: cubes b. What is the least number of unit cubes in the solid? Least number of unit cubes: cubes Question 2
Answers
Answer: hello the views attached to your question is missing hence I will provide a more general answer based on the scope of your question
answer :
a) 8 unit cubes
b) 1 unit cube
Step-by-step explanation:
The number of views a solid figure can have are : Top view , Front view and side view and The greatest number of unit cubes in a solid depends on the side length of the unit cube
a) For a unit cube with side length half ( 1/2) the Unit length of the given solid the greatest number of unit cubes = 8 while
b) The least number of unit cube = 1
At the neighborhood playground, your friend sits on a swing and gets pulled back by you to the highest point that you can reach. When you let go, your friend rides the swing without receiving or providing additional push. Your friend travels along an arc of 14 feet on the first swing (back to front). As the swing comes backwards, the length of the arc is .80 of the previous swing. This continues: each successive arc created by swinging is .80 of the previous swing.
a. Find the length of the arc for the 5th swing (the 5th arc). Round to the thousandths place.
b. On which swing is the length of the arc first less than 1 foot?
c. Find the total distance your friend travels in all of the swings up to and including the swing in answer to letter b.
Answers
Step-by-step explanation:
the answer is in the image above
find the surface area of the prism
Answers
Answer:
SA=96
Step-by-step explanation:
formula for triangular prism=bh+l(s1+s2+s3)
3*4/2*2=12
4*7=28
3*7=21
5*7=35
12+28=40+21=61+35=96
ali's age is half of his fathers age but 15 years ago his age was just 1/3 of his fathers age find his present age
Answers
Answer:
30 for the son 60 for the dad
Step-by-step explanation:
Take away 15 from the son and dad you get 45 and 15 which is 1/3 before t that was 15 years ago which makes it 30 for the son and 60 for the dad
Ken is working on a project for social studies. He has a piece of poster board that needs to be divided equally into 1/3 foot sections. The poster board is 4 feet wide. How many sections will ken have on the poster board?
Answers
Answer:
12
Step-by-step explanation:
4 / (1/3) = 12
Please Big Help!!
Segments AB and CB are tangent to ⨀T. What is the perimeter of ABCT?
Answers
Answer:
perimeter is 46
Step-by-step explanation:
Sq(BT) = sq(AT) + Sq(AB)
Sq(17) = Sq(8) + Sq(AB)
So AB = 15
So perimeter of ABCT is 15 + 15 + 8 + 8 = 46
Segments AB and CB are tangent by the Pythagoras theorem, So the perimeter of ABCT is 46 units.
What is the perimeter?The perimeter of any given figure is the sum of the measure of boundaries of that figure.
Segments AB and CB are tangent.
By the Pythagoras theorem,
[tex](BT)^2 = (AT)^2 + (AB)^2\\(17) ^2= (8) ^2+ (AB)^2[/tex]
So AB = 15
So perimeter of ABCT
= 15 + 15 + 8 + 8
= 46
To learn more about the perimeter click here;
https://brainly.com/question/6465134
#SPJ2
The agricultural practice of irrigation leaves behind which pollutant in the
soil?
O A. Salt
B. Acidic compounds
C. Nitrogen compounds
D. Pesticides
The answer is Salt !!
Answers
what is the answer to a+5a
Answers
Answer: 6a
Step-by-step explanation:
A + 5A just equals 6A. Let me know if I answered incorrectly or if you want me to clarify.
a and 5a have the same variable ‘a’
Therefore, there are 5a’s and 1 a
Adding 5 and 1 a = 6a
Mr. Pratt was building a house. A ladder that is 10 ft. long is leaning against the side of a
building. If the angle formed between the ladder and the ground is 65 degrees, how far is
the bottom of the ladder from the base of the building? (Round to two decimal places)
Answers
Step-by-step explanation:
the answer is in the above image
Describe the general properties of rotations.
Answers
A rotation maps a line to a line, a ray to a ray, a segment to a segment, and an angle to an angle.
A rotation preserves lengths of segments.
A rotation preserves measures of angles. Step-by-step explanation:
You Welcome :)!
Please help me with my math asap
Answers
Answer:
90 - 63 = 27 degree
Step-by-step explanation:
Find the midpoint of the line segment with the given endpoints. (-1,1) (5,-5)
Answers
(2;-2)
therefore the coordinates of the mi
Step-by-step explanation:
X=(X+X)/2
X=(-1+5)/2
X=2
y=(y+y)/2
y=(1-5)/2
y=-2
therefore the coordinates of the midpoint is (2;-2)
10 points, will give brainliest . look at the picture!
Answers
Answer:
y/2
Step-by-step explanation:
Answer: y, because ΔABC ~ ΔEDC
Step-by-step explanation:
In the image we can see that angle D is equal to angle B because they are both marked as 65 degrees. Angle BCA is equal to DCE because they are vertical angles and vertical angles are congruent. Know that those are equal to each that must mean CED is equivalent to CAB because that's the last angle that corresponds with another. So, CED is y.
What is the slope of the line that passes through the points (-10, -8) and
(-8, -16)? Write your answer in simplest form.
Answers
Answer:
Slope is - 4
Step-by-step explanation:
The slope of the line will be (-16-(-8))/(-8-(-10))=-8/2=-4
Answer:
-4
Step-by-step explanation:
We have two points so we can use the slope formula
m = (y2-y1)/(x2-x1)
= ( -16 - -8)/(-8 - -10)
= (-16+8)/ (-8+10)
= -8/2
- 4
Weather data is collected to analyze wind speed according to temperature. Identify the variables as either input or output to label the table and graph.
Answers
Answer: column A= temperature column B= wind speed. Label A= wind speed label B= Temperature
Step-by-step explanation:
Answer:
Column A =
✔ temperature
Column B =
✔ wind speed
Label A =
✔ wind speed
Label B =
✔ temperature
Step-by-step explanation: Just did it in the assignment of edge :)
PLEASE HELP ME ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
94
Step-by-step explanation:
the sample size of the first survey is 15+26+7 = 48
so, for 48 surveyed teachers we get 15 SUV drivers.
our expectations is to get the same ratio also for other sample sizes (like 300).
15/48 = x/300
x = 15×300 / 48 = 15×75 / 12 = 93.75 ≈ 94
Sarah's family traveled 5 8 of the distance to her grandmother's house on Saturday. They traveled 1 3 of the remaining distance on Sunday. What fraction of the total distance to her grandmother's house was traveled on Sunday?
Answers
Answer: The fraction of the total distance to her grandmother's house was traveled on Sunday = [tex]\dfrac18[/tex]
Step-by-step explanation:
Let x be the total distance to grandmother's house .
As per given,
Distance traveled on Saturday = [tex]\dfrac58x[/tex]
Remaining distance = [tex]x-\dfrac58 x[/tex]
[tex]=\dfrac38x[/tex]
Distance traveled of Sunday = [tex]\dfrac13[/tex] of Remaining distance
= [tex]\dfrac13\times\dfrac{3}{8}x[/tex]
= [tex]\dfrac18 x[/tex]
The fraction of the total distance to her grandmother's house was traveled on Sunday = [tex]\dfrac18[/tex]
The length of a rectangle is 4 yd longer than its width.
If the perimeter of the rectangle is 56 yd, find its length and width.
Answers
Answer: The length of the rectangle is 16 yards and the width is 12 yards.
Step-by-step explanation:
The length is 4 yds longer than the width. Let's remove that from the perimeter so that the perimeter will be as if all sides had the same length (remember there are 2 sides for length and 2 sides for width).
[tex]56-4-4\\48[/tex]
Now we made it so that the extra 4 yards are gone and all sides are equal like a square. Now we can divide by 4 to determine the length of each of the now equal sides
[tex]\frac{48}{4} =12[/tex]
So all of the sides are 12, 12, 12, and 12. To two of the sides we can add back the extra 4 yards we took out giving us sides of 12, 12, 16, and 16.
Let's add it all together and see if it makes the perimeter of 56
[tex]12+12+16+16\\24+32\\56[/tex]
It does! Since the length is 4 yds longer than the width the length is 16 and width is 12.
Using the formula for area of parallelograrn, find the area of the following parallelograr if
your base 5ft. and your height is 3ft
Answers
Answer:
15
Step-by-step explanation:
the formula for area of a parallelogram is base times height
Find the measure of each interior angle and each exterior angle of a regular nonagon (a nine-sided polygon).
Measure of each interior angle =
x
5
?
Measure of each exterior angle =
Answers
Answer:
Interior-140° Exterior-40°
Step-by-step explanation:
The sum of the interior angles of a polygon are given by 180(n-2) where n is the number of sides.
Therefore, the sum of all interior angles in a nonagon is 180(9-2) or 180×7. This equals to 1260°.
To get the individual interior angle, you use [tex]\frac{s}{n}[/tex], with n defined above and s being the sum of interior angles.
Therefore, each angle is [tex]\frac{1260}{9}[/tex]°, which can be solved to 140°.
The value of an individual exterior angle is given by 180-i, with i being the individual interior angle (this is because the 2 angles form a straight line).
In this case, 180-140=40°.
Each interior angle of a nonagon is 140°, and each exterior angle is 40°.
**This content involves angles of polygons, which you may want to revise. I'm always happy to help!
Help question 7 pleaseeeee
Brainliest
Answers
The probability of a successful outcome is (number of ways of achieving a successful outcome)/(number of ways of achieving any outcome).
The probability of first drawing blue is 4/16 = 1/4
Once a blue marble has been drawn the number of yellow marbles is unchanged (3) but the total number of marbles is now only 15. So the probability of drawing yellow is 3/15 = 1/5
The probability of drawing first blue then yellow is the product of these two results = 1/4 * 1/5 = 1/20 = 5%
Answer:
[tex]\frac{1}{20}[/tex]
Step-by-step explanation:
To solve this problem, we can use the definition of probability: the amount of desirable outcomes divided by the total amount of outcomes. In order to find the probability of dependent events, events that depend on each other, we multiply the probability of the first event by the probability of the second event happening after the outcome of the first. Our two events are choosing a blue marble and then choosing a yellow.
There are a total of 16 marbles as given by the problem, this is our total number of outcomes. There are 4 outcomes where we can pick a blue marble, so the probability of choosing a blue marble is [tex]\frac{4}{16}[/tex] or [tex]\frac{1}{4}[/tex].
Now, we need to find the probability of choosing a yellow marble after the blue marble. If we already chose a blue marble, in total, there will only be 15 marbles instead of 16, because it is with out replacement. This gives us the total amount of outcomes. Next, we picked a blue already, so it does not affect the amount of yellow marbles left, which is 3 yellow marbles. From this, we can say the probability of picking a yellow marble given a blue marble was already picked is [tex]\frac{3}{15}[/tex] or [tex]\frac{1}{5}[/tex].
All we have to do now is multiply the two probabilities to find what we are looking for: [tex]\frac{1}{4} *\frac{1}{5} =\frac{1}{20}[/tex]. So, the probability of drawing a blue marble followed by a yellow marble is [tex]\frac{1}{20}[/tex]
whats the value of x? -5(x + 7) = -14 + 2x
Answers
Answer: x=-3
Step-by-step explanation:
Ok let's start by using the distributive property
[tex](-5)(x)+(-5)(7)=-14+2x\\-5x-35=-14+2x[/tex]
Now subtract 2x from both sides
[tex]-5x-35-2x=2x-14-2x\\-7x-35=-14[/tex]
Next add 35 to both sides
[tex]-7x-35+35=-14+35\\-7x=21[/tex]
Finally divide both sides by -7
[tex]\frac{-7x}{-7} =\frac{21}{-7} \\x=-3[/tex]
Answer:
x = -3
Step-by-step explanation:
First, we compute -5(x + 7). -5(x + 7) = -5x - 35. Plugging this into the equation, we have -5x - 35 = -14 + 2x Next, we combine like terms by moving all terms with the variable x to the left side. We have -5x - 2x = -14 + 35. We simplify the equation into -7x = 21. Divide 21 by -7, and we get x = -3.
2
Which expression is equivalent to
Answers
explanation:
if x+3/3 = y+2/2 then x/3 =
Answers
Answer:
x+3/3=y+2/2
x/3 = y/2
Step-by-step explanation:
Solve: 3m-2(m-3)=1
Please and thank you
Answers
Answer:
I think it's -2 but if im wrong im sorry goodluck :)
Step-by-step explanation:
Find the area of the shaded figure. The area is square units (AREA OF COMPOSITE FIGURES)
Answers
Answer:
28 square units
Step-by-step explanation:
count the middle and edgr squares then u can just put the parts of the square together
I Needham help without this one I will give you brainlist
Answers
Answer:
hi, it can be 0 or also 1
please mark as brainiest:)
Answer:
tricky
Step-by-step explanation:
What is the sum of (2n – 5m) and (n + m)?
Answers
Answer:
3n - 4m
Step-by-step explanation:
(2n-5m)+(n+m)
so we get this equation and from here, we expand the equation by removing the brackets, you should get:
2n-5m+n+m and just solve from here.
to make it easier, put the like terms together:
2n+n+m-5m
= 3n-4m
Answer:
3n - 4m
Step-by-step explanation:
(2n – 5m) and (n + m) in this case have the same value if the parentheses are removed. We end up with:
2n – 5m
n + m
-------------- Grouping like terms vertically, as shown here, may make this
addition a bit easier.
2n – 5m
n + m
--------------
3n - 4m (final answer)
Someone please help?? Solve for angle DCE
Answers
Answer:
58 degrees
Step-by-step explanation:
By looking at the diagram we can see that angle DCE is an outside angle
There is a special relationship between the outside angle and the arcs it intercepts
The theorem states that the outside angle is equal to half the difference of the intercepted arcs
In other words [tex]outside angle= \frac{arc AC - arc BD (the difference of the arcs)}{2}[/tex]
Knowing this formula we can solve for DCE
So it would be [tex]angle DCE= \frac{238-arcDE}{2}[/tex]
Well we do not know what arcDE is
Since we are given that the other arc is 238 we can take 238 and subtract is from 360
this will give us 122
so you have angle DCE= 238-122/2
238 minus 122 is 116
Angle DCE-=116/2
Angle DCE=58 degrees
There are other ways you can do this but this is just one of them
