Answers
Answer:
See below
Step-by-step explanation:
[tex]1.\:\:\overline{BD}||\overline{AE}[/tex]
(By Midsegment theorem)
[tex]2.\:\:m\angle 1=48\degree\implies m\angle 4=48\degree [/tex]
([tex]\angle 1\: \&\:\angle 4[/tex] are alternate angles)
[tex]3.\:\:m\angle 3=25\degree\implies m\angle 2=25\degree [/tex]
([tex]\angle 2\: \&\:\angle 3[/tex] are vertical angles)
[tex]4.\:\:\overline {AE}=17\: cm\implies BD = 8.5\: cm [/tex]
(By midsegment theorem: [tex]BD=\frac{1}{2}AE[/tex]
[tex]5.\:\: BD=\frac{1}{2}AE\\\\\implies (3x+10)=\frac{1}{2}\times (12x+2)\\\\\implies 2(3x +10) = 12x+2\\\\\implies 6x +20= 12x+2\\\\\implies 6x - 12x = 2-20\\\\\implies -6x =-18\\\\\implies x =\frac{-18}{-6}\\\\\implies x = 3\\\\\implies \overline{BD}= (3\times 3 + 10)\\\\=(9+10)\\\\\implies \overline{BD}= (9 + 10)\\\\\implies \huge{\purple{\overline{BD}=19}}[/tex]
Related Questions
what dose x stand for 11 + x/9 = 4
Answers
Answer:-63
Step-by-step explanation:
well first you would do 4-11 which is -7 and then -7x9=-63
Answer:
-63
Step-by-step explanation:
1. Subtract 11 from both sides:
[tex]\frac{x}{9} =-7[/tex]
2. Multiply both sides by 9 to isolate x:
[tex](9)\frac{x}{9} =-7(9)[/tex]
x = -63
hope this helps!
A and B are two cities.
a) measure the bearing of B from A.
b) Measure the bearing from A from B.
Answers
Answer:
B from A: about 29°A from B: about 209°Step-by-step explanation:
A bearing is measured clockwise from north. To do this measurement, we need to extend the line beteen A and B and extend the North-pointing line so they cross.* A protractor or other measuring tool is then used to measure the angle between the lines.
__
In the attached, we have found the angle between these lines to be about 29°. This is the angle between north and B, as seen from A.
29° = bearing of B from A
__
As seen from B, the angle is 180° more than the one of B from A. The bearing of A from B is ...
180° +29° = 209° . . . . . bearing of A from B
_____
* The angle measurement can be made between any set of lines that are coincident with or parallel to the north line and the line between A and B. In the attached, we attempted to maximize accuracy by using the lines on the figure, rather than creating parallel lines for the purpose of the measurement.
On a figure such as this, it is very difficult to get accuracy to even 0.1 degrees. For example, the geometry program that we used says the slope of the AB line is tangent(60.58°), so the bearing using that information is about 29.42°, not the 29.29° the same program reports as the measurement of the angle.
We don't have access to your original figure, and we can't account for any distortions that may have occurred in the copying and pasting of the image. Straight dilation will not change the angle, but most image reproduction processes have different scale factors in different directions, which will affect the angle measurement. YMMV
order the steps to solve -3x + 2.4=19.2
Answers
Answer: It's False.
Step-by-step explanation:
Step by step explanation below!
Answer:
x = -5.6
Step-by-step explanation:
-3x = 16.8
-3x/-3 = 16.8/-3
x = -5.6
Andy wants to mail a package it cost $4.99 plus $.30 for every ounce of the package weighs write an equation that represents the total cost of shipping the package
Answers
Answer:
$4.99 + .30X
Step-by-step explanation:
The base price is 4.99
then you have to add the additional .30 for each ounce the package weighs.
The weight is unknown, so I used X. It will be .30 multiplied by x
Please Help No fake anwsers PLEASE
Determine a relationship between the x- and y-values. Write an equation.
A: y = x − 5
B: y = x − 3
C: y = −3x + 1
D: y = −x − 3
Answers
Answer:
y = x - 3
Explanation:
take two points: (1, -2), (2, -1)
Find slope:
[tex]\boxed{\sf \frac{y_2 - y_1}{x_2 - x_1} }[/tex] where (x1, y1), (x2, y2)
[tex]\sf \rightarrow \dfrac{-1-(-2)}{2-1}[/tex]
[tex]\sf \rightarrow 1[/tex]
Equation:
y - y1 = m(x -x1)
y - (-2) = 1(x-1)
y + 2 = x - 1
y = x - 3
Answer:
[tex]\huge \boxed{\bf{y = x - 3}}[/tex]
Step-by-step explanation:
Given:-
Take two point:
(1, -2), (2, -1)To find:-
equation of lineAns:-
~Find slope in two point:
(1, -2) [tex]\Rarr (x_1, y_1)[/tex](2, -1) [tex]\Rarr (x_2, y_2)[/tex][tex]\sf \to m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
[tex]\sf \to m = \frac{-1 - (-2)}{2 - 1} [/tex]
[tex]\sf \to m = \frac{1}{1} [/tex]
[tex]\sf \to m = 1 [/tex]
[tex] \: [/tex]
~Find equation:
[tex] \sf \to y - y_1 = m(x - x_1) [/tex]
[tex] \sf \to y - (-2) = 1(x - 1) [/tex]
[tex] \sf \to y + 2 = x - 1 [/tex]
[tex] \sf \to y = x - 1 - 2 [/tex]
[tex] \sf \to y = x - 3 [/tex]
[tex] \: [/tex]
[tex] \huge\colorbox{blue}{BlackPain} [/tex]
Find the length of the unknown side using the Pythagoras theorem
SOMEONE PLEASE HELP ME WITH THESE! ILL GIVE YOU BRAINLIST ANSWER!!
Answers
Answer:
Left to right, (26,100,50,41)
Step-by-step explanation:
a^2 + b^2 = c^2
100+576=676, sq root is 26
3600+6400=10,000, sq root is 100
900+1600=2500, sq root is 50
1600+81=1681, sq root is 41.
You square a and b, you add them together to get c squared. You then take the square root of c squared to get c.
The endpoints of the diameter of a circle are (6, 0) and (-6, 0). What are the coordinates of the center of this circle?
Answers
Answer:
(0,0)
Step-by-step explanation:
a diameter means The average of two measurements of the diameter taken at right angles to each other. so if you try graphing you will be able to find out its (0,0) is the center of the circle coordinates
The coordinates of the center of this circle is (0,0).
What are the coordinates of a center of a circle?The center of a circle is the midpoint of the diameter. So, by using the midpoint formula, if the endpoints of the diameter are (a, b) and (c, d), then the coordinates of the center of circle are [(a + c)/2, (b + d)/2].
According to the question
The endpoints of the diameter of a circle are (6, 0) and (-6, 0).
now ,
(a,b) = (6, 0)
(c, d)= (-6, 0)
coordinates of the center of circle = [ [tex]\frac{a+c}{2} ,\frac{b+d}{2}[/tex] ]
⇒ [tex]\frac{6-6}{2} ,\frac{0+0}{2}[/tex]
⇒ (0,0)
Hence, the coordinates of the center of this circle is (0,0).
To know more about coordinates of a center of a circle here :
https://brainly.com/question/16727777
# SPJ2
What will the equation be if f(x)=(x-1)^2+2 is translated 4 units right and 5 units down?
Answers
Answer:
y = (x-5)² - 3
Step-by-step explanation:
Given:
[tex]\displaystyle \large{f(x)=(x-1)^2+2}[/tex]
translates 4 units right5 units downTransformation:
[tex]\displaystyle \large{f(x-a)}[/tex] is translation of a units to the right
[tex]\displaystyle \large{f(x)-b}[/tex] is translation of b units down.
Therefore:
[tex]\displaystyle \large{g(x)=f(x-4)-5}[/tex] is our new equation or transformation:
[tex]\displaystyle \large{g(x)=[(x-4)-1]^2+2-5}\\\displaystyle \large{g(x) = [x-4-1]^2-3}\\\displaystyle \large{g(x)=(x-5)^2-3}[/tex]
Therefore, the new equation is y = (x-5)² - 3
help me guy's! Please i need now. I need A solution and answer
Given
1. 10, 13, 15, 18, 14, 12, 11, 13, 19, 20
Mean______ Median ______ Mode _____
2. 75, 84, 90, 77, 84, 78, 91, 94, 83
Mean______ Median_______ Mode______
3. 20, 35, 26, 31, 21, 32, 20, 28
Median_______ Median_______ Mode______
4. 80, 87, 90, 82, 87, 91, 88, 87, 93, 85
Median_______ Median________ Mode_____
5. 12, 15, 11, 16, 23, 14, 16, 12 13
Median_______ Median________ Mode_____
Answers
Answer:
Mean: 14.5 Median: 13.5 Mode: 13Mean: 84 Median: 84 Mode: 84Mean: 26.625 Median: 27 Mode: 20Mean: 87 Median: 87 Mode: 87Mean: 14.667 Median: 14 Mode: 12, 16Step-by-step explanation:
Will mark as brainlyest!!
Answers
i tried $11 less but it was wrong
Answers
Use the table to answer the question.
Consumption $2,000
Investment $1,000
Government Spending $1,000
Imports $500
Exports $600
The market value for each type of expenditure is given for a hypothetical country in the table above. Calculate the gross domestic product of this country.
$5,100
$4,000
$3,900
$4,100
Which of the following would be counted in the investment component of this year's GDP?(1 point)
The market value of all stock purchases for the year.
The market value of all finished goods purchased this year
The total quantity of savings account deposits made this year.
The market value of new factories built this year.
If a country is maintaining a healthy amount of growth, which of the following accurately describes the behavior of real GDP over time?(1 point)
Real GDP fluctuates but follows a horizontal trend line.
Real GDP fluctuates but follows a downward-sloping trend line.
Real GDP fluctuates but follows an upward-sloping trend line.
Real GDP does not fluctuate if growth is occurring.
Answers
Answer:
Number 1 4,100$
Number 2 D. The market value of new factories built this year.
Step-by-step explanation:
Look at this diagram. Trapezoid ABCD is similar to Trapezoid JKLM. What is the measure of K?
Answers
Answer:
140
Step-by-step explanation:
Its in a answer key pdf
what is the location of the point on the number line that is 3/7 of the way from A=6 to B=20?
Answers
Answer:
12
Step-by-step explanation:
20-6=14 (Distance between points) then 14*3/7=6.
3/7 of the distance from A=6 to B=20 is 6. Thus, we find the point that is
3/7 of the distance from A=6 to B=20 by adding 6 to 6.
6+6= 12
Therefore, the point that is
3/7 from A=6 to B=20 is 12.
Point A is located is at (7, -3) and is reflected in the y-axis. What are the coordinates of point A'?
(-7, -3)
(-7, 3)
(7,3)
(7.-3)
Answers
Answer: (-7, -3)
Step-by-step explanation: Reflection across y axis changes the sign of the x coordinate only
Please help! Will give brainiest for best answer! (30 points max.) Problem is below!
Answers
Answer:
69.09yd
Step-by-step explanation:
9.8 times 14.1 divided by 2
because it is a triangle and when u do area with triangles u do bxh 1/2.
edge lengths are given in units. Find the surface area of each prism in square units
Answers
Answer:
274 square units
Step-by-step explanation:
Surface Area of the prism
SA = 2(base x height) + 2(length x height) + 2(base x length)SA = 2(bh + lh + bl)Here :
b = 4h = 5l = 13Solving
SA = 2(4 x 5 + 13 x 5 + 4 x 13)SA = 2(20 + 65 + 52)SA = 2(137)SA = 274 square unitsAnswer:
[tex]274\ units^2[/tex]
Step-by-step explanation:
Step 1: Determine the area of top and bottom
[tex]A = l * w[/tex]
[tex]A = 13\ units * 4\ units[/tex]
[tex]A = 52\ units^2[/tex]
Top and bottom gives us (52 units^2 * 2) = 104 units^2
Step 2: Determine the area of the sides
[tex]A = l * w[/tex]
[tex]A = 4\ units * 5\ units[/tex]
[tex]A = 20\ units^2[/tex]
Sides gives us (20 units^2 * 2) = 40 units^2
Step 3: Determine the area of the front and back
[tex]A = l * w[/tex]
[tex]A = 13\ units * 5\ units[/tex]
[tex]A = 65\ units^2[/tex]
Ffront and back gives us (65 units^2 * 2) = 130 units^2
Step 4: Add up the areas to get the total surface area
[tex]104\ units^2 + 40\ units^2 + 130\ units^2[/tex]
[tex]274\ units^2[/tex]
Answer: [tex]274\ units^2[/tex]
A deck of 50 cards for a math game has 9 red cards, 13 blue cards, 18 green cards, and 10 yellow cards. What is the probability that a card randomly selected from the deck will be a blue card?
Answers
Answer:
13/50 or 26%
Step-by-step explanation:
there are 13 blue cards out of 50 so 13/50 or 26%
Solve for x. Round to the nearest tenth, if necessary
Answers
Answer: 170.3
Step-by-step explanation:
At the local coffee shop, a small coffee costs $2.50 and a large coffee costs $3.75. Belinda picked up a total
of ten coffees for her team, and paid $33.75 total.
(a) Let x represent small coffees and let y represent large coffees. Write a system to model this situation
and solve it using graphing technology. Yea
Answers
Answer:
2.50x + 3.75y = 33.75
Step-by-step explanation:
Tell whether
9/24
and
24/64
form a proportion.
Answers
Answer:
No
Step-by-step explanation:
9/24 does not equal 24/64
Answer:
yes
Step-by-step explanation:
When you think about it and turn these fractions into a decimal, you will find out that they are equal
9/24=2.66666666667
24/64=2.66666666667
please help me I'm so confused
Answers
Please help me with this question eekekk
Answers
Answer: The mean of Mike's scores is less than the mean of Tim's scores- True The range of Mike's scores is less than the range of Tim's scores- False The median of Mike's scores is less than the median of Tim's scores- True
Step-by-step explanation:
Point (-4, -5) is located which quadrant?
A) Quadrant I
B) Quadrant II
C) Quadrant IV
D) Quadrant III
Btw, This is a question from USATestPrep:)
Answers
Answer:
D) Quadrant III
Step-by-step explanation:
The point (-4, -5) is located in the 3rd quadrant, in which both the x axis and the y axis are negative.
Compute the correlation coefficient for the data set.
(2,19), (3,22), (4,26), (5,20), (6,35), (7,30), (9,40), (10,42), (11,35)
Enter your answer as a decimal, like this: 0.42
Answers
Answer:
0.8679.
Step-by-step explanation:
The water flow rate of a regular shower head is 3. 5 gallons per minute. At this rate it would cost $1. 90 for the water used for a 10 minute shower
Answers
Using proportions, it is found that the cost of 1 gallon of water, rounded to the nearest cent, is of $0.05.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, we have that he uses 3.5 x 10 = 35 gallons for a 10 minute shower, which costs $1.9. Hence the cost of a gallon is of:
$1.9/35 = $0.05.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
1) The right rectangular prism is packed with unit cubes of the appropriate unit fraction edge lengths. Find the volume of the right rectangular prism in centimeters. (figure not to scale)
A) 10 ⅔ cm³
B) 24 cm³
C) 26 ⅔ cm³
D) 40 cm³
Answers
--------------------------------------------------
Formula :
--------------------------------------------------
Volume = Length x Width x Height
--------------------------------------------------
Find volume :
--------------------------------------------------
[tex]Volume=6 \frac{2}{3} *2*2[/tex]
--------------------------------------------------
Change to improper fractions :
--------------------------------------------------
[tex]Volume=\frac{18}{3}*\frac{2}{1} *\frac{2}{1}[/tex]
--------------------------------------------------
Combine into single fraction :
--------------------------------------------------
[tex]Volume=\frac{24}{1}[/tex]
--------------------------------------------------
Simplify:
--------------------------------------------------
[tex]Volume=24[/tex]
--------------------------------------------------
Answer: Volume = 24 cm³ (Answer B)
--------------------------------------------------
Find the area of a sector with an arc length of 40 cm and a radium of 12 cm
Answers
The required area of a sector with an arc of 40 cm and a radius of 12 cm is given as 240 cm².
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
Here,
Sectoral area = arc / 2 × radius
Sectoral area = 40 / 2 × 12
= 20 × 12 = 240 cm²
Thus, the required area of a sector with an arc of 40 cm and a radius of 12 cm is given as 240 cm².
Learn more about the surface area here:
https://brainly.com/question/2835293
#SPJ2
HELP!
Vector u has an initial point at (−5, 2) and a terminal point at (−7, 9). Which of the following represents u in trigonometric form?
u = 7.28(cos 74.055°i + sin 74.055j)
u = 7.28(cos 105.945°i + sin 105.945°j)
u = 7.28(sin 74.055°i + cos 74.055°j)
u = 7.28(sin 105.945°i + cos 105.945°j)
Answers
Answer:
(b) 7.28 cis(105.945°)
Step-by-step explanation:
The trig form of a vector is always ...
magnitude(cos(angle)·i +sin(angle)·j)
Sometimes, that is abbreviated ...
magnitude cis(angle) or magnitude∠angle
where the "angle" is measured counterclockwise from the +x axis.
__
The forms showin in choices C and D can be rejected immediately because the sine and cosine coefficients are incorrectly placed. To differentiate between choices A and B, you need to know whether the angle is greater than 90°. The terminal point is above and left of the initial point, so the angle must be more than 90°. (It can help to plot the points on a graph.)
u = 7.28(cos 105.945°i + sin 105.945°j)
The volume of a rectangular prism is 210 cubic meters. The rectangular base is 5 meters by 6 meters. What is the height of the prism?
Answers
Answer:
7
Step-by-step explanation:
V = base x height
base = 5 x 6
5 x 6 = 30
V = 210
H = V/Base
H = 210/30
210/30 = 7
H = 7