In the diagram below,EF is parallel to BC. IF BC is the twice length of ED,BD=26 and EF=14, find the length of ED. Figure are not necessary drawn to scale. State your answer in simplest ratio form if necessary.
Answers
Answer: sqrt(182)
Step-by-step explanation:
ΔEDF is congurent with ΔBDC
DE/EF = DB/BC
The length of the ED is √182.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
EF is parallel to BC.
This means,
ΔEDF is congurent with ΔBDC
So,
DE/EF = DB/BC
BC = 2ED
DB = 26
EF = 14
Now,
DE/EF = DB/BC
DE/14 = 26/2ED
2ED² = 14 x 26
ED² = 7 x 26
ED = √182
Thus,
The length of the ED is √182.
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Related Questions
Help, please! It's all in the screenshot
Answers
A:
5=2+3
-> right triangle
B:
5=4+3
-> not a right triangle
C.
36= 25+16
36= 41
-> not a right triangle
D.
49= 25+25
49=50
-> not a right triangle
E.
100= 36+ 64
100= 100
-> right triangle
A picture 8 3/4 feet long is to be centered on a wall that is 12 1/2 feet long. How much space is there from the edge of the wall to the picture?
Answers
Answer:
15/4
Step-by-step explanation:
Find a common denominator in this case 4.
Turn both mixed numbers to an improper fraction
12 1/2 = 25/2
8 3/4 = 35/4
multiply 2 to 25/2 = 50/4
50/4 - 35/4 = 15/4
5. Consider the system of equation:
x+4y=13
3x +2y =19
(a) Multiply both sides of the second equation (b) Add the equation from (a) to the first
hu -2. What equation results?
equation. What happens? What can you
now solve for?
(d) What could you have multiplied both sides of
the first equation by to eliminate the x
instead of the y?
Answers
Answer:
A
Step-by-step explanation:
A committee of four people needs to be chosen. There are three men and five women available to serve on the committee. If the committee members are randomly chosen, what is the probability that two of the four people chosen on the committee are women? a) 0.518 b) 0.429 c)0.215 d) 0.322
Answers
Answer:
D
Step-by-step explanation:
The sum of two numbers is 5/9.if one of the numbers is 1/3 find the other
Answers
Answer:
2/9
Step-by-step explanation:
The sum of two numbers is 5/9 can be expressed as:
[tex]\displaystyle \large{x+y=\dfrac{5}{9}}[/tex]
One of the numbers is 1/3. Find the other - this means that either x or y is 1/3 but that doesn’t matter as we can either let x = 1/3 or y = 1/3 via property:
[tex]\displaystyle \large{x+y = y+x}[/tex]
Hence, let x = 1/3:
[tex]\displaystyle \large{\dfrac{1}{3}+y=\dfrac{5}{9}}[/tex]
Solve for y - subtract both sides by 1/3:
[tex]\displaystyle \large{\dfrac{1}{3}-\dfrac{1}{3}+y=\dfrac{5}{9}-\dfrac{1}{3}}\\\displaystyle \large{y=\dfrac{5}{9}-\dfrac{1}{3}}[/tex]
We know that we can only evaluate the fractions if both have same denominator so what we have to do is to multiply 1/3 by 3 for both top and bottom:
[tex]\displaystyle \large{y=\dfrac{5}{9}-\dfrac{1\cdot 3}{3\cdot 3}}\\\displaystyle \large{y=\dfrac{5}{9}-\dfrac{3}{9}}\\\displaystyle \large{y=\dfrac{2}{9}}[/tex]
Therefore, the other number is 2/9
Answer:
The other number is 2/9
Step-by-step explanation:
"a" is the other number
The equation:
[tex]a+\frac{1}{3} =\frac{5}{9}[/tex]
Then
[tex]a=\frac{5}{9} -\frac{1}{3} =\frac{15-9}{27} =\frac{6}{27}[/tex]
simplifying the fraction:
[tex]a = \frac{2}{9}[/tex]
Hope this helps
A submarine is at the surface of the ocean, preparing to dive. It submerges and dives to - 993 feet. Then, it ascends 308 feet to
void hitting an undersea cliff. What integer represents the submarine's position in feet (depth) after it ascends to avoid the cliff?
Answers
Answer:
-685
Step-by-step explanation:
hope I helped
Question Find the surface area of the prism. The surface area is square centimeters.
Answers
Answer:The answer is12
Step-by-step explanation:
Find the volume of the prism or compound shape.
Answers
Since there are two “half spheres”, their area is: (113.04 x 2)in^3 = 226.08in^3.
Volume of a cylinder = (pi)(r^2)(height) = [(3.14)(9)(10)]in^3 = 282.6in^3.
Total volume = (282.6 + 226.08)in^3 = 508.68in^3.
f(x)=x^2. What is g(x)?
Answers
f(x)=x²
f(1)=1²=1Hence.
g(x)=5f(x)g(x)=5x²Answer:
welp hopefully its right
Step-by-step explanation:
-1.5
15
- 10
-3
2
Which of the following are solutions to the equation below?
Check all that apply.
X2 + 10x + 25 = 8
Answers
The radius of a circle is 17 yards. What is the circle's circumference? Use 3.14 for .
Answers
Answer:
Circumference of circle is 106.76 yardsStep-by-step explanation:
Given that, radius of Circle is 17 yards. To find the circumference of the circle we will the formula of circumference of circle:
Circumference of circle = 2πr
2 × 3.14 × 17
6.28 × 17
106.76 yards
Hence,
Circumference of circle is 106.76 yards⠀
Step-by-step explanation :
⠀
As, it is given that, the radius of a circle is 17 yards and we are to find the circumference of the circle.
⠀
We know that,
[tex]{\longrightarrow {\qquad{\mathfrak {\pmb{ Circumference_{(circle)} = 2 \pi r }}}}}[/tex]
⠀
Here,
r is the radius of the circle.We'll take the value of π as 3.14⠀
Now, substituting the values :
⠀
[tex]{\longrightarrow {\qquad{\sf {{ Circumference_{(circle)} = 2 \times 3.14 \times 17 }}}}}[/tex]
⠀
[tex]{\longrightarrow {\qquad{\sf {{ Circumference_{(circle)} = 6.28 \times 17 }}}}}[/tex]
⠀
[tex]{\longrightarrow {\qquad{\mathfrak {\pmb{ Circumference_{(circle)} = 106.76}}}}}[/tex]
⠀
Therefore,
The circumference of the circle is 106.76 yardsWhich equations can be used to find the lengths of the legs of the triangle? Select three options.
0.5(x)(x + 2) = 24
x(x + 2) = 24
x2 + 2x – 24 = 0
x2 + 2x – 48 = 0
x2 + (x + 2)2 = 100
Answers
The equations that can be used to find the lengths of the legs of the triangle are x^2 + (x+2)^2 = 100, x^2 + 2x - 48 = 0 and 0.5x(x+2) = 24
Pythaogram theoremAccording to the theorem, the square of the hypotenuse is equal to the sum of the square of other two sides.
From the diagram
hypotenuse = 10ft
Other sides are x and (x+2)ft
According to the theorem:
10^2 = x^2 + (x+2)^2
x^2 + (x+2)^2 = 100
Expand
x^2 + x^2 + 4x + 4 = 100
2x^2 + 4x - 96 = 0
x^2 + 2x - 48 = 0
Divide through by 2
0.5x^2 +x - 24 = 0
0.5x(x+2) = 24
Hence the equations that can be used to find the lengths of the legs of the triangle are x^2 + (x+2)^2 = 100, x^2 + 2x - 48 = 0 and 0.5x(x+2) = 24
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HELP MEE!!! PLEASE
Cheryl is filling bags for a party. She puts 2 key chains in each of the 5 bags. Then, she puts 7 treats in each of the 5 bags. write an expression with two factors that show how many items cheryl put in the bags.
Answers
Answer: 45 items
Step-by-step explanation:
2 key chains in 5 bags so 2+2+2+2+2=10
Then it says 7 treats in each 5 bags so
7+7+7+7+7=35
So 10+35=45 so she had 45 items
And put 9 items in each bag
Work out
92.6
% of
103.93
km
Give your answer rounded to 2 DP. HURRY
Answers
92.6% of 103.93km
solution:Our output value is 103.93.
let's represent the unknown as x.
103.93=100%
Similarly, x=92.6%
103.93= 100% (1)
x= 92.6% (2)
By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of bothequations have the same unit (%); we get:
103.93/x = 100%/ 92.6%
the reciprocal of both sides gives:
x/ 103.92 = 92.6/100
= 96.23918
2 dp= 96.24
so 92.6% of 103.93km is 96.24 when rounded to 2 decimal place.
Answer:
96.24 km
Step-by-step explanation:
To Find :
92.6% of 103.93 kmSolving :
% to decimal = ÷ by 10092.6% = 0.926⇒ -.926 x 103.93⇒ 96.23918⇒ 96.24 km (In 2 decimal places)Solve for x………………………..
Answers
Answer:
85
Step-by-step explanation:
a² + b² = c²
13² + 84² = x²
x = 85
The length of a rectangle is three times its width.
If the perimeter of the rectangle is 64 cm, find its length and width.
Answers
Answer:
Length: 24 cm
Width: 8 cm
Explanation:
Let Width be "w"
Then Length is "3w"
=================
Perimeter of rectangle = 2(length+width)
===================================
2(3w+w) = 64(4w) = 32w = 8So, width is 8 cm
Length: 3w ⇒ 3(8) ⇒ 24 cm
Answer:
Length = 24 cmWidth = 8 cmStep-by-step explanation:
Given
Length = 3 x Width Perimeter = 64 cmSolving
Perimeter = 2(Length) + 2(Width)Perimeter = 2(Length + Width)Perimeter = 2(3 x Width + Width)Perimeter = 2(4 x Width)Perimeter = 8 x Width64 = 8 x WidthWidth = 64/8 = 8 cmLength = Width x 3 = 8 x 3 = 24 cmMrs. Mueller writes an inequality on the board. The table shows the responses of six students for possible values of x.
Which students have correct responses to Mrs. Mueller's inequality?
Select ALL that apply.
Answers
Answer:
Maya, Pablo
Step-by-step explanation:
We solve the inequality to find how big x must be to fit the inequality.
[tex]\frac{3}{5}x > 6\\ x > 10[/tex]
Since x has to be greater than 10, anyone with an answer above that is correct.
Maya and Pablo are the only two.
The value of y varies directly with x. When y=55, x=1/4. Determine the constant of proportionality
Answers
Answer:
k = 220
Step-by-step explanation:
Proportion of y and x
y = kxGiven :
y = 55x = 1/4Solving :
55 = k/4k = 55 x 4k = 220Consider the following Polynomial -2a^3b^z+5ab^5+7b^4+8
a. Find the degree of the polynomial
1.5
2.6
3.15
b. Find the leading coefficient of the polynomial
1.-2
2.5
3.7
4.8
c. Find the constant term of the polynomial
1.-2
2.5
3.7
4.8
d. Find the leading term of the polynomial
1.-2a^3 b^2
2.5ab^5
3.7b^4
4.8
Answers
#a
Degree is the highest power
here it's 5#b
Leading coefficient is 7
#c
Constant term is 8 (which doesn't contain variables)
#d
Leading term is term with highest power
5ab⁵pls help with math it is due soon
Answers
Answer:
x = 25
Step-by-step explanation:
[tex]x=25\sqrt 2 \times \cos 45\degree\\\\\implies x = 25 \cancel{\sqrt{2} }\times \frac{1}{ \cancel{\sqrt{2} } } \\ \\ \implies \: x = 25[/tex]
The blades of a windmill turn on an axis that is 30 feet from the ground. the blades are 10 feet long and complete 2 rotations every minute. write a sine model, y = asin(bt) k, for the height (in feet) of the end of one blade as a function of time t (in seconds). assume the blade is pointing to the right when t = 0 and that the windmill turns counterclockwise at a constant rate. y = 30 sine (startfraction pi over 15 endfraction t) 10 y = 30 sine (startfraction pi over 15 endfraction t) 30 y = 10 sine (startfraction pi over 15 endfraction t) 10 y = 10 sine (startfraction pi over 15 endfraction t) 30
Answers
The sine model for the height (in feet) of the end of one windmill blade as a function of time t (in seconds) y = 30sin(π/15t)+30.
What is sine function with time?The period of a sine function is equal to the 2π and it repeats after each 2π units.
The sine model can be given as,
[tex]y = a\sin(bt) +k[/tex]
The blades are 10 feet long and complete 2 rotations every minute. Thus the period is,
[tex]b=\dfrac{2\pi}{60}\times2\\b=\dfrac{\pi}{15}\\[/tex]
The blades of a windmill turn on an axis that is 30 feet from the ground. Thus,
[tex]k=30[/tex]
The blades are 10 feet long. Thus,
[tex]a=10[/tex]
Put these values in the above formula as,
[tex]y = 30\sin(\dfrac{\pi}{15}t) +30[/tex]
Thus, the sine model for the height (in feet) of the end of one windmill blade as a function of time t (in seconds) y = 30sin(π/15t)+30.
Learn more about the sine function with time here;
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Answer:
B
Step-by-step explanation:
if 9% of 84 students like pizza if 6% like hotdogs and 15% like nachos and 6% like candy how much percentage is left popcorn
Answers
Answer:
64%
Step-by-step explanation:
36% like everything else, leaving a 64%
Answer: 64%
Step-by-step explanation:
9 + 6 + 15 + 6 =36
popcorn = 100- 36% = 64%
64/100 × 84/1
Determine tan(S) and tan(T).
Answers
[tex]\tan S = \dfrac{RT}{RS}= \dfrac{5}{12}\\\\\\\tan T = \dfrac{RS}{RT}= \dfrac{12}5[/tex]
A passenger train left new york and traveled north while a freight left from the same place, and the same time and traveled south. After traveling for 6 hours the traines were 720 miles apart. if the passenger train was traveling at 80mph, how fast was the freiht train traveling.
Answers
The freight train was traveling at 40 mph.
Let's use the formula for distance:
distance = rate x time
We know that the two trains are moving away from each other, so we can add their distances to get the total distance between them:
distance = distance traveled by passenger train + distance traveled by freight train
Since they started at the same time, the time traveled by both trains is the same, so we can write:
distance = 80 mph x time + rate of freight train x time
Using the given information, we can write:
720 = 80 x 6 + rate of freight train x 6
Simplifying:
720 = 480 + 6(rate of freight train)
240 = 6(rate of freight train)
rate of freight train = 40 mph
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Scientists are looking for a drone that crashed into a forest. They decide to use a map and conduct a
circular search to find the missing drone according to the equation y? + y2 - 12x - 4y + 24 = 0 in miles.
Which of the following statements are correct? Select all that apply.
A. The search radius is less than 5 miles.
B. The search radius more than 10 miles.
C. The search is centered on the map at point (12, -4).
D. The search is centered on the map at point (-2, -6).
E. The search is centered on the map at point (6, 2).
Answers
Find the area of a regular hexagon with a perimeter of 12cm.
Answers
Answer:
[tex]6\sqrt{3}[/tex] [tex]cm^{2}[/tex]
Step-by-step explanation:
Here is a fact to remember. A hexagon is always made up of 6 equilateral triangles.
So if the perimeter of the Hexagon is 12 cm, then each side is 2 cm.
The area of an equilateral triangle is [tex]\frac{s^{2}\sqrt{3} }{4}[/tex].
So plugging in 2 gets us the area of one triangle.
s = 2
[tex]2^{2}\sqrt{3}/4 = \sqrt3[/tex]
The area of 6 triangles will be [tex]6\sqrt{3}[/tex] [tex]cm^{2}[/tex].
Solve for x. Leave your answer in the simplest radical form.
Image down below!
Please help! Brainlist and points
Answers
Answer:
x = 53.15
Step-by-step explanation:
use Pythagoras theorem
first find for the triangle that has both sides given and then solve for the other
What percentage of take-home pay is spent on expenses? (round to nearest whole percent) a) 67% b) 68% c) 84% d) 85%
Answers
The percentage of take-home pay is spent on expenses is 85% round to nearest whole percent.
What is percentage of a number?Percentage of a number is the part of the number expressed in the in every hundred. Percentage of a number is expressed with the symbol '%' known as percentage symbol.
In the attached image below the monthly budget is shown. In this budget the take home salary is $5388 and the total expences is $4558.
The percentage of take-home pay is spent on expenses is,
[tex]P=\dfrac{4558}{5388}\times100\\P=0.8459\\P\approx85\%[/tex]
Thus, the percentage of take-home pay is spent on expenses is 85% round to nearest whole percent.
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Full explanation please.
Answer as soon as possible
Answers
Answer:
(- 5, 9)Step-by-step explanation:
Given system of equations
- 2x - y = 1- 4x - y = 11Express the first equation as
y = - 2x - 1Substitute the value of y into second equation
- 4x - (- 2x - 1) = 11Solve for x
- 4x + 2x + 1 = 11- 2x + 1 = 11- 2x = 102x = - 10x = - 5Find the value of y
y = - 2(- 5) - 1 = 10 - 1 = 9Answer:
(-5, 9)
Step-by-step explanation:
Given system of linear equations:
[tex]\begin{cases}-2x-y=1\\-4x-y=11\end{cases}[/tex]
To solve by substitution, use arithmetic operations to isolate y in Equation 1:
[tex]\implies -2x-y=1[/tex]
[tex]\implies -2x-y+y=1+y[/tex]
[tex]\implies -2x=1+y[/tex]
[tex]\implies -2x-1=1+y-1[/tex]
[tex]\implies y=-2x-1[/tex]
Substitute the expression for y into Equation 2 and solve for x:
[tex]\implies -4x-(-2x-1)=11[/tex]
[tex]\implies -4x+2x+1=11[/tex]
[tex]\implies -2x+1=11[/tex]
[tex]\implies -2x+1-1=11-1[/tex]
[tex]\implies -2x=10[/tex]
[tex]\implies -2x \div -2=10 \div -2[/tex]
[tex]\implies x=-5[/tex]
Substitute the found value of x into one of the equations and solve for y:
[tex]\implies -2(-5)-y=1[/tex]
[tex]\implies 10-y=1[/tex]
[tex]\implies 10-y+y=1+y[/tex]
[tex]\implies 10=1+y[/tex]
[tex]\implies 10-1=1+y-1[/tex]
[tex]\implies y=9[/tex]
Therefore, the solution to the given system of linear equations is (-5, 9).
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HELP FAST!! The scores on a test are normally distributed with a mean of 130 and a standard deviation of 26. Find the score that is one and one-half standard deviations below the mean.
Answers
Answer:
91
Step-by-step explanation:
130 - 1 1/2 ( 26) = 91