AD is the angle bisector of ∠EAB. Solve for x. ANSWERS:
A)
8.6
B)
4.6
C)
14.4
D)
6.4
Answers
Answer:
D) 6.4
Step-by-step explanation:
The Angle Bisector Theorem says that an angle bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle.
This means that:
18/9.6 = 12/x
Solving for x:
x = 12*9.6/18
x = 6.4
Related Questions
Evaluate the expression for
a = 30, b = 30, c = 7, d = 24:
a + b = c = d.
Answers
Answer:
Not possible
Step-by-step explanation:
a + b = c = d Substitute
30 + 30 = 7 = 24 Add
60 = 7 = 24 This is not possible because these numbers aren't equal.
What is the radical form for 2 1/2
Answers
Answer:
it would be √2 or 1.41421356
Step-by-step explanation:
its correct
Which system of inequalities has a solution set that is a line?
[x+y23
[x+y s3
[x+y2-3
Extysa
0
[x+y>3
(x + y <3
(x+y> -3
(x+y<3
Answers
Answer:
x + y ≥ 3
x + y ≤ 3
Step-by-step explanation:
In the picture attached, the problem is shown.
The solution to the system:
x + y ≥ 3
x + y ≤ 3
is the line x + y = 3
In order to get a solution to a system of inequalities that is a line, we need the same equation on the left (here, x + y), the same constant on the right (here, 3), and the ≥ sign in one inequality and the sign ≤ in the other one.
(-1) - 8 = save me plase i need it
Answers
Answer:
-9
Step-by-step explanation:
( - 1 ) - 8
- 1 - 8
Take negative common.
-(1+8)
Add
-(9)
The answer is -9.
Answer:
(-1)-8 = -9
Step-by-step explanation:
remove the paranthesis
and subtract the numbers
Which expression is equivalent to
Answers
Answer:
2
Step-by-step explanation:
[tex]4^{\frac{1}{2}}=4^{\frac{1*2}{2*2}}=4^{\frac{2}{4}}\\\\a^{m}*a^{n}= a^{m+n}\\\\\frac{a^{m}}{a^{n}}=a^{m-n}\\\\\\[/tex]
[tex](\frac{4^{\frac{5}{4}}*4^{\frac{1}{4}}}{4^{\frac{1}{2}}})^{\frac{1}{2}}=(\frac{4^{\frac{5}{4}}*4^{\frac{1}{4}}}{4^{\frac{2}{4}}})^{\frac{1}{2}}\\\\\\=(4^[{\frac{5}{4}+\frac{1}{4}-\frac{2}{4}}])^{\frac{1}{2}}\\\\\\=(4^{\frac{5+1-2}{4}})^{\frac{1}{2}}\\\\\\=(4^{\frac{4}{4}})^{\frac{1}{2}}\\\\=(4^{1})^{\frac{1}{2}}\\\\=4^{\frac{1}{2}}\\\\=\sqrt{4} \\\\\\=2[/tex]
You are planning on retiling your bathroom floor and buy 96 square feet of tile. If the length of the bathroom is
one and a half times the width, what is the width?
4 feet
8 feet
10 feet
12 feet
Answers
Answer:
8 feet
Step-by-step explanation:
Given that 96 sq. feet of tile is bought to retile the bathroom.
It means area of bathroom is 9[tex]3/2 x^2 = 96\\=> 3 x^2 = 96*2=192\\=> x^2 = 192/3 = 64\\=>\sqrt{x^2} = \sqrt{64} \\=> x = 8[/tex]6 sq. feet
Width of bathroom be x
Given that the length of the bathroom is one and a half times the width
Length of bathroom in term sod width = 1 1/2* x = 3/2 x
we know area of rectangle is given by length * width
therefore area of bathroom =( x* 3/2 x) = 3/2 x^2
Also area of bathroom is 86 sq. feet, therefore
[tex]3/2 x^2 = 96\\=> 3 x^2 = 96*2=192\\=> x^2 = 192/3 = 64\\=>\sqrt{x^2} = \sqrt{64} \\=> x = 8[/tex]
Thus, width of bathroom is 8 feet.
The area of the rectangle below is
. sq. units.
Answers
Answer:
A, 66
Step-by-step explanation:
A= lw
l=22
Please mark brainliest.
w=3
22*3=66
Answer:
66
Step-by-step explanation:
The area of rectangle is equal to the product of its length and height.
3 × 22
= 66
Carol Byrd gets a student rate of $30.00 a month. There is a $200 deductible; but no coinsurance payment. She
recently received treatment for a covered condition. The bill was $2,050.00. Carol's insurance company provided
payment of 80% of the bill less the deductible.
What was the company's payment?
What was Carol's total cost (ignoring the monthly premium)?
Answers
Answer:
$160
Step-by-step explanation:
100/100 = 100 ÷ 100 = 100% = 1. Multiply a number by the fraction 100/100
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
The company payment is $1440.
Carol's total cost is $610.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Cost of the bill = $2,050
Company payment = 80% of the bill less the deductible
This means,
80/100 x 2,050 = 1640
Company payment.
= 1640 - 200
= $1440
Now,
Carol's total cost.
= 2,050 - 1440
= $610
Thus,
The company payment is $1440.
Carol's total cost is $610.
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PLEASE HELP Draw the polygon whose vertices are (-2, 3), (-2, -3) (3, 1) and ( 3, 7) ,
Answers
Answer:
Parallelogram
Step-by-step explanation:
When I graphed these points on a coordinate plane and connect the points, I see a parallelogram.
PLZ MARK BRAINLIEST!!!
A sample consisting of five observations has an arithmetic mean of 12 and a median of 14. What is the smallest value that the range (largest observation minus smallest) can assume for such a sample?
Answers
Answer:
5
Step-by-step explanation:
In the sample:
Median=14
Mean=12
Since the median is 14, to get the minimum range, we keep the values after the median as small as possible.
Therefore our numbers are:
*,*,14,14,14
The first number must be as large as possible.
Therefore:
Let x be the number
[tex]Mean=\dfrac{x+x+14+14+14}{5}=12\\\dfrac{2x+42}{5}=12[/tex]
CrisCros multiply
2x+42=5*12
2x=60-42
2x=18
Divide both sides by 2
x=9.
Therefore, the five observations are:
9,9,14,14,14
Therefore, the smallest range
=14-9
=5
Answer:
5
Step-by-step explanation:
This is Given:
Median=14
Mean=12
Since the median is 14, to get the minimum range, we keep the numbers after the median as small as can be.
So our numbers are:
y,x,14,14,14
The first number must be as large as possible.
So:
Let x stand for the number
Cross multiply
2x+42=5*12
2x=60-42
2x=18
Divide both sides by 2
x=9.
Therefore, the five observations are:
9,9,14,14,14
So, the smallest range
=14-9
=5
If all the sides of a triangle get 2 times as big, how much does the area change?
Answers
Answer:
Step-by-step explanation:
area becomes 2²=4 times.
please solve quickly
Answers
Answer:
Brainliest!
Step-by-step explanation:
100% sugar syrup = 75/30 x 100 = 250
Please help I really need help !!
Answers
Answer:
x=24
Step-by-step explanation:
x+156=180
x=24
Answer:
24 degrees
Step-by-step explanation:
Line AOC is an angle that is 180 degrees so if one side of the angle is 156 we subtract 156 from 180 and we get 24
In 2010, Rafik bought a house. In 2015, Rafik sold the house to Bianca. He made a 20% profit on the sale. In 2019, Bianca sold the house for £193800. She made a 5% loss. Work out how much Rafik paid for the house in 2010.
Answers
Answer:
£170000
Step-by-step explanation:
In 2010, Rafik bought a house. Let us assume Rafik bought the house for $x. In 2015, Rafik sold the house to Bianca and made 20% profit. 20% profit = 20% of x = 0.2 × x = 0.2x. Therefore Rafik sold the house to Bianca at x + 0.2x = 1.2x. Bianca bought the house at 1.2x
The house was sold by Bianca at 5% loss in 2019. 5% loss = 0.05(1.2x) = 0.06x
Therefore the house was sold by Bianca at 1.2x - 0.06x = 1.14x. Since Bianca sold the house at £193800.
⇒ 1.14x = 193800
x = 193800/1.14
x = £170000
Rafik paid £170000 for the house in 2010
Which of the following statements must be true about parallelogram ABCD? ANSWERS: A) AD ≅ BA B) ∠A+∠D = 180° C) AD || CD D) ∠B ≅ ∠C
Answers
Answer:
AD || BC
Step-by-step explanation:
Option B : ∠A+∠D = 180°
Given below diagram is of a parallelogram.
A parallelogram is defined as a closed geometric figure that has got 4 straight sides and opposite sides are parallel to each other.
One of the properties of a parallelogram is that its adjacent angles are supplementary.
Adjacent angles means angles which are either on the just left side or just right side.,
Supplementary angles are those which if added gives 180° as value.
Option A and D are not correct here.
Option C is wrong as adjacent sides of a parallelogram are never parallel.
Taking the angles ∠A and ∠D, we see they're adjacent. And since ABCD is a parallelogram, thus by its property, we've got ∠A+∠D = 180°.
Thus option B: ∠A+∠D = 180° is correct.
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The exponent on b when b^3 is multiplied by b^3 is__.
A.3
B.6
C.9
Answers
Answer:
B
Step-by-step explanation:
[tex]b^3\cdot b^3= \\\\b^{3+3}= \\\\b^6[/tex]
Therefore, the correct answer is 6. Hope this helps!
Answer:
b^6
Step-by-step explanation:
When multiplying number that have exponents and the same base you add the exponents.
PLLSSSS HELP
Absolute value function with a slope of + 4/5 flipped over x-axis, moved 2 left and up 6. Can someone pls tell me how to write this formula?
Answers
Answer:
Step 1: Isolate the absolute value expression.
Step2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.
Step 3:Solve for the unknown in both equations.
Step 4:Check your answer analytically or graphically.
3(y-4) = -2y - 12
Solve and check
Answers
Answer:
3(y-4) = -2y-12
3y-12 = -2y-12
3y+2y = -12+12
5y = 0
y = 0/5
y = 0
Answer:
y = -16
Step-by-step explanation:
v= u + at
u=2 a= -5 t=1/2
work out the value of v
Answers
Answer:
v = -1/2
Step-by-step explanation:
Step 1: Plug in variables
v = 2 + (-5)(1/2)
Step 2: Multiply
v = 2 - 5/2
Step 3: Subtract
v = -1/2
-2.5+ 2 = -.5
V= -0.5 V= -1/2
Pls ASAP need help with these
Answers
Answer:
a. $15 + 8p
b. $175
c. $975
d. $495
Step-by-step explanation:
*Im using $ instead of euros
The equation is $15 + 8p
b. you plug in 20 which would be 15 + 8(20), the answer for this would be 175
c. For this you would do the same thing 15 + 8(120), the answer would be 975
d. Since this is saying per week and there are 4 you would multiply 15 by 4 first and get 60 then you plug it in, 15 + 8(60) = 495
What is the equation of the line?
Answers
Answer:
y = -7
Step-by-step explanation:
As the slope is m = 0, that means there is no slope. All values of x in the domain will always output -7. Therefore, your equation would be y = -7.
Answer:
y = -7
Step-by-step explanation:
Use the formula:
y = mx + b
Where m is the slope and b is the y-intercept.
The slope of the equation is equal to 0.
The y-intercept is at (0, -7)
y = (0)x + -7
y = -7
The equation of the line is y = -7.
The vértices of polygon ABCD at A(1,1), B(2,3), C(3,2), and D(2,1). ABCD is reflected across the x-axis translated 2 units up to form polygon A’B’C’D’ to its coordinates.
Answers
Answer:
A' - 1,1
B' - 2,-1
C' - 3,0
D' - 2,1
Step-by-step explanation:
in order to do this problem, you would first reflect every point over the X axis. this then makes it a polygon in quadrant 4. from there, you would move each point up 2 points. this would mean that every X value stays the same. the only value that changes in this scenario is the Y value. This is not always true so do not use this rule unless you know for sure. Hope this helps!!
A nurse collected data about the average birth weight of babies in the hospital that month. Her data is shown using the dot plot. Create a box plot to represent the data. dot plot titled Monthly Birth Weight and number line from 8 to 9 in increments of 1 tenth labeled Birth Weight (in pounds.) with zero dots over 8, zero dots over 8 and 1 tenth, 2 dots over 8 and 2 tenths, 2 dots over 8 and 3 tenths, 2 dots over 8 and 4 tenths, 3 dots over 8 and 5 tenths, zero dots over 8 and 6 tenths, 1 dot over 8 and 7 tenths, zero dots over 8 and 8 tenths, 1 dot over 8 and 9 tenths, and zero dots over 9 box plot with minimum value 8 and 3 tenths, lower quartile 8 and 4 tenths, median 8 and 5 tenths, upper quartile 8 and 6 tenths, and maximum value 8 and 9 tenths box plot with minimum value 8 and 2 tenths, lower quartile 8 and 3 tenths, median 8 and 4 tenths, upper quartile 8 and 5 tenths, and maximum value 8 and 9 tenths box plot with minimum value 8 and 3 tenths, lower quartile 8 and 5 tenths, median 8 and 6 tenths, upper quartile 8 and 7 tenths, and maximum value 8 and 9 tenths box plot with minimum value 8 and 2 tenths, lower quartile 8 and 3 tenths, median 8 and 4 tenths, upper quartile 8 and 6 tenths, and maximum value 8 and 9 tenths
Answers
Answer:
The values of the box-plot are: B = {8.2, 8.3, 8.4, 8.5 and 8.9}.
Step-by-step explanation:
The data provided is as follows:
X Frequency
8 0
8.1 0
8.2 2
8.3 2
8.4 2
8.5 3
8.6 0
8.7 1
8.8 0
8.9 1
9 0
So, the actual data is:
S = {8.2 , 8.2 , 8.3 , 8.3 , 8.4 , 8.4 , 8.5 , 8.5 , 8.5 , 8.7 , 8.9 }
A boxplot, also known as a box and whisker plot is a method to demonstrate the distribution of a data-set based on the following 5 number summary,
Minimum (shown at the bottom of the chart) First Quartile (shown by the bottom line of the box) Median (or the second quartile) (shown as a line in the center of the box) Third Quartile (shown by the top line of the box) Maximum (shown at the top of the chart).The data set is arranged in ascending order.
The minimum value is, Min. = 8.2
The lower quartile is,
[tex][\frac{n+1}{4}]^{th}\ obs.=[\frac{11+1}{4}]^{th}\ obs.=3^{rd }\ obs. =8.3[/tex],
Q₁ = 8.3.
The median value is,
[tex][\frac{n+1}{2}]^{th}\ obs.=[\frac{11+1}{2}]^{th}\ obs.=6^{th}\ obs.=8.4[/tex]
Median = 8.4
The upper quartile is,
[tex][\frac{3(n+1)}{4}]^{th}\ obs.=[\frac{3(11+1)}{4}]^{th}\ obs.=9^{th }\ obs. =8.5[/tex],
Q₃ = 8.5.
The maximum value is, Max. = 8.9.
So, the values of the box-plot are: B = {8.2, 8.3, 8.4, 8.5 and 8.9}.
Answer:
The values of the box-plot are: B = {8.2, 8.3, 8.4, 8.5 and 8.9}.
Step-by-step explanation:
I took the practice test
HELP PLZ!!! Michelle owns a clothing store that designs T-shirts and shorts. She sells
the T-shirts for $8 each and the shorts for $15 each. She can work 18 hours
a day at most. It takes her 1 hour to design a T-shirt and 2 hours to design a
pair of shorts. She must design at least 12 items a day, but cannot design
more than 20 items in a day. Which of the values below is the maximum
revenue Michelle can make with these constraints?
A. $164
B. $144
C. $96
D. $138
Answers
Step by Step: If it takes 2 hours to design shorts to get $15 and 1 hours to make shirts for $8 you can multiply 8 by 2 and get 16 which is more than 15. The reason you multiply 8 by 2 is because it takes 2 hours to make 1 pair of shorts. With this you then multiply 16 by 9 which gives you 144.
Hope this helps
HELLO THERE. THIS IS A GEOMETRY QUESTION. ONE REAL ANSWER EQUALS ONE LIKE AND MAYBE BRAINLYIST IF IT ALLOWS ME.
Answers
Answer:
104°, 38°, 104°, 38°
Step-by-step explanation:
∠1= ∠3 as opposite angles
and ∠2= ∠4= 38°
∠1= ∠3= 180- 2*38°=104°
Name the angle pairs that are vertical angles. Use paper and pencil. Describe an instance where you see vertical angles every day.
Answers
Answer:
Step-by-step explanation:
angle pair for vertical angles is called straight angle....
the joining between two pages of a book is a vertical angle....
the road itself is a vertical angle
Calculate: 1/1×3 + 1/3×5 + ... + 1/47×49 .
Answers
Answer:
24/49
Step-by-step explanation:
The sum of the series 1/1*3 + 1/3*5 + 1/5*7 ... + 1/47*49 will be 24/49.
What is a sequence?The sequence is the arrangement of numbers in a particular order.
What is a series?A Series is the sum of elements that are arranged in a sequence.
Given here the series is
1/1*3 + 1/3*5 + 1/5*7 ... + 1/47*49
Taking the first term and separating each part as sum of two fractions
1/1*3= (1/2)(1/1 - 1/3)
1/3*5= (1/2)(1/3 - 1/5)
1/5*7= (1/2)(1/5 - 1/7)
.
.
.
similarly
1/47*49= (1/2)(1/47 - 1/49)
Then series can be written as
1/1*3 + 1/3*5 + 1/5*7 ... + 1/47*49
= (1/2)(1/1 - 1/3) + (1/2)(1/3 - 1/5) + (1/2)(1/5 - 1/7) +...............+ (1/2)(1/47 - 1/49)
taking 1/2 as common
=(1/2)( 1- 1/3+1/3 -1/5+1/5 -1/7+1/7 .........+1/47-1/49)
canceling all the positive negative like terms
= (1/2)( 1- 1/49)
= (1/2)( 48/49)
= 24/49
Therefore the sum of the series 1/1*3 + 1/3*5 + 1/5*7 ... + 1/47*49 will be 24/49.
Learn more about sequence and series
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In Social Studies this year we learned a lot of things like Panama and the Canal. One of the favorite things that I learned this year is The Reconstruction Era. In that lesson, we learned that The Reconstruction era was the period after the American Civil War from 1865 to 1877 and the purpose of the Reconstruction was to help the South become a part of the Union again. My favorite lesson that we learned was How American Indians Viewed Their Environment. That was my favorite lesson because we learned that the natives believed that each part of nature had its own spirit and each person had to maintain a balance with these spirits. In conclusion.......
Answers
Answer:
The answer is B.
The ratio of boys to girls in 8th grade at ESHS is 5:3. Calculate the number of boys if there are 210 girls. What is the total number of 8th grade students?
Answers
Answer:
350
Step-by-step explanation:
If there are 210 girls, then the number of boys is (210÷3)x7=350.
210/3=70
5*70=350
Then you add 210 back to 350
210+350=560
Here’s a more detailed work
(The circled numbers are the order of my steps from 1to8
Answer the following: What is the area of the circle? (Will give brainliest)
Answers
Answer:
A = 25pi
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
The radius is 5
A = pi 5^2
A = 25pi
Pie•5^2
Pie•25
A = 78.54
