Answer:
BE = 3.6 units
BD = 12.4 units
Step-by-step explanation:
From the picture attached,
Since DE║AC, ΔBDE and ΔABC will be similar.
In these similar triangles corresponding side will be in the same ratio.
[tex]\frac{BD}{AB}=\frac{BE}{BC}[/tex]
[tex]\frac{AB-AD}{AB}=\frac{BE}{BC}[/tex]
[tex]1-\frac{AD}{AB}=\frac{BE}{BC}[/tex]
1 - [tex]\frac{BE}{AB}=\frac{BE}{BC}[/tex] [Since AD = BE]
1 - [tex]\frac{BE}{16}=\frac{BE}{24}[/tex]
1 = [tex]\frac{BE}{16}+\frac{BE}{24}[/tex]
1 = [tex]BE(\frac{3+2}{48})[/tex]
BE = [tex]\frac{18}{5}[/tex]
BE = 3.6 units
Therefore, AD = BE = 3.6 units [given]
Now BD = AB - AD
= 16 - 3.6
= 12.4 units
can anyone help? this question is based on using soh cah toa trig
Answer:
9.696
Step-by-step explanation:
Answer:
x = 9.7 feet
Step-by-step explanation:
Use tan to find the value of x
tan 22 = [tex]\frac{x}{24}[/tex] Simplify
0.404 = [tex]\frac{x}{24}[/tex] Multiply both sides by 24
x = 9.696 Round this answer to the nearest tenth of a foot
x = 9.7 feet
can someone please help me understand ?
Answer:
A: 12cm
B: 90 degrees
C: 60 degrees
Step-by-step explanation:
A. Measure of GH is 1/4 of perimeter of 48 cm
48/4=12
a is 12cm
B. in a rhombus, diagonals are perpendicular,
FH and EG are perpendicular
So, angles EJF, GJF, GJH, and EJH are all right angles and equal 90 degrees
thus measure of angle EJF is 90 degrees
C.
First lets find the measure of EJF
Since all the inner angles of the triangle add up to 180 degrees,
we can make an equation:
60+90+x=180
150+x=180
x=30
angles EFJ and EHJ are congruent, since opposite angles in a rhombus are congruent,
Also, angles EHJ and GHJ are congruent since the diagonals in a rhomus are angle bisectors
Thus EHJ=30 and GHJ=30
30+30=60
EHG = 60
so answer is 60 degrees
What is the equation of the line that is perpendicular to the linear
graph of y= -2/3x+5 and passes through the point (0, -2)?
Answer:
y=3/2x-2
Step-by-step explanation:
gradient line 1= -2/3
perpendicular meaning gradients when multiplied should be -1
gradient line 2=3/2
y+2=3/2
x-0
y+2=3/2(x-0)
y+2=3/2x-0
y=3/2x-2
The equation of the line perpendicular to the linear graph of y= -2/3x+5 and passes through the point (0, -2) is y = 3x/2-2 (1st option is correct)
What is slope?The slope of a line is a number that describes both the direction and the steepness of the line.
Given that, a line is perpendicular to the linear graph of y= -2/3x+5 and passes through the point (0, -2)
The standard equation of a line is y = mx+c, where m is the slope of the line.
We know that, the slopes of the lines which are perpendicular to each other are negative reciprocal of each other,
Therefore, the slope of the asked line is 3/2.
Finding the c,
-2 = 3/2X0 + c
c = -2
Therefore, the equation will be,
y = 3x/2-2
Hence, The equation of the line perpendicular to the linear graph of y= -2/3x+5 and passes through the point (0, -2) is y = 3x/2-2
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How would you solve this I’m confused
Answer:
[tex]x=8.5^o[/tex]
Step-by-step explanation:
Notice that since segments AB and DE are parallel, then angles [tex]\angle A[/tex] and [tex]\angle E[/tex] must be equal since they are alternate angles in between parallel lines.
So, [tex]\angle E = 50^o[/tex]. We also know that [tex]\angle C = 45^o[/tex], then the remaining angle ([tex]\angle D[/tex]) in triangle CDE must be such that added to the other two angles results in [tex]180^o[/tex]. That is:
[tex]\angle D = 180^o-\angle C-\angle E\\\angle D = 180^o-45^o-50^o\\\angle D= 85^o[/tex]
Now, since angle D equals 10 times x, we can solve for the unknown x in the equation:
[tex]\angle D=10\,x\\85^o=10\,x\\x=\frac{85^o}{10}\\\\x=8.5^o[/tex]
There are 15 boys and 16 girls in Gabriel’s class. One person is chosenat random. What is the probability that the person chosen to hand out books is a girl?
Answer:
16/31 or ≈ 52%
Step-by-step explanation:
1. Find the total students in the class.
15 + 16 = 31
2. Make a fraction (girl/total students)
16/31
Your answer as a fraction is 16/31. If you have to change it to a percent, you would get around 52%.
Four students were discussing how to find the unit rate for a proportional relationship. Which method is valid?
O "Look at the graph of the relationship. Find the y-value of the point that corresponds to x= 1. That value is the unit rate."
O "Look at the graph of the relationship Count the number of units up and the number of units to the right one must move to
arrive at the next point on the graph. Write these two numbers as a fraction."
O "Look at the graph of the relationship. Find the x-value of the point that corresponds to y = 2. That value is the unit rate."
O "Look at the graph of the relationship. Find two points which have y-values that are one unit apart. The unit rate is the
difference in the corresponding x-values."
Answer:
"Look at the graph of the relationship. Find the y-value of the point that corresponds to x= 1. That value is the unit rate."
Step-by-step explanation:
When finding the unit rate you are l looking for how many happened in one. This can be found for y at x=1.
Hope this helps!
The table of values represents the function g(x) and the graph shows the function f(x).
Which statement about the functions is true?
1. f(x) and g(x) are both absolute value functions.
2. f(−2) is greater than g(−2) .
3. f(x) and g(x) intersect at exactly two points.
4. f(x) is greater than g(x) for all values of x.
Answer:
2 and 3 are true
Step-by-step explanation:
1. Although f(x) is in fact an absolute value function and g(x) never goes below 0, g(x) is not an absolute value function because it does not grow linearly. This is known because, between even x intervals, the y value does not change the same amount.
2. f(-2)=2, and g(-2) is 1, meaning that this statement is in fact correct.
3. For this part, it would probably be a good idea to figure out the equation of both graphs. For g(x), starting at the line of symmetry at x=-3, y is 0, which means that the parabola has not been shifted up or down at all, and that its vertex is at (-3,0). Since it grows at the same rate as the parent function of a parabola, its graph is (x+3)^2. For f(x), you can see that it is an absolute value shifted left 3 and up 1, giving it an equation of |x+3|+1. Now, I've graphed both of them below, and you can see that they intersect at exactly two points, making this statement true.
4. Once again, the graph is helpful here. You can see that although f(x) starts off greater, g(x) with its exponential growth quickly overtakes it. Therefore, this statement is false.
Hope this helps!
Answer:
B and C
Step-by-step explanation:
What is the value of (-1/4 - 1/2) divided by (-4/7)
Answer: -1.3125
Step-by-step explanation:
(-1/4 - 1/2) = -0.75
-0.75/[tex]\frac{4}{7}[/tex] = -1.3125
[tex] ({3x}^{2} + 2x + 1) + ( {2x}^{2} - 4x - 5) + (3x - 1)[/tex]
Answer:
[tex]5x^2+x-5[/tex]
Step-by-step explanation:
[tex](3x^2+2x+1)+(2x^2-4x-5)+(3x-1)= \\\\(3x^2+2x^2)+(2x-4x+3x)+(1-5-1)= \\\\5x^2+x-5[/tex]
Hope this helps!
whats 2+2 ? ( This is worth 60 points go get them )
2+2 = 4
Very easy, just add them lol gotem
Answer:
4
Step-by-step explanation:
2 + 2
Add the numbers.
= 4
suppose that g(x) = f (x - 2). which statement best compares the graph of g(x) with the graph of f(x)?
Answer:
The graph of G (x) is the graph of f(x) shifted 2 units to the left.
The graph of G (x) is the graph of f(x) shifted 2 units to the left.
Graph:For any kind of the parent function f(x) the graph of the transformed function should be g(x) = f(x +a)
It is a shift of the parent function f(x) also it should be either to the left or the right based on the value of a.
In the case when a>0 so the shift is 'a' units to the left
and if a<0 so the shift is 'a' units to the right.
Therefore, we can conclude that The graph of G (x) is the graph of f(x) shifted 2 units to the left.
It is an incomplete question. Kindly find the options below.
A. the graph of G(x) is the graph of F(x) shifted 2 units to the right B thr graph of G(x) is the graph of F(x) shifted 2 units down C the graph of G(x) is the graph of F(x) shifted 2 units up D the graph of G (x) is the graph of f(x) shifted 2 units to the left
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which of the following best describes a line
I would answer, but you didn't give any options.
i would say go for the option that is closes to :
" A line is a straight collection of points that goes on forever in two directions."
Solve 11x + 4 = 3x + 52 need this
______________________________
Hey!!
Solution,
11x+4=3x+52
or,11x-3x=52-4
or,8x=48
or,X=48/8
X=6
So, the answer is 6.
Hope this helps...
Good luck on your assignment
_____________________________
Answer:
11x+4=3x+52
11x-3x=52-4
8x=48
8x÷8=48÷8
x=6
the answer is x=6
Use the Multiplication Law of Exponents to solve the expression below.
121/2.121/2 =
Answer:
12.
Step-by-step explanation:
12^1/2 * 12^1/2
= 12^(1/2 + 1/2)
= 12^1
= 12.
the expression y-x equals 0.7 if x and y have certain values. evaluate the following expressions with the same values of x and y
Answer:
3.5
Step-by-step explanation:
Given: x-y=0.7
Finding: 5(x-y)
So we have that x-y=0.7 meaning that for this equation we only need to multiply 5×0.7 which is 3.5
The answer to the expression is 3.5
How to solve the expression?In algebra, we are taught that the two rules for solving equations are the addition rule and the multiplication/division rule.
Given:
x - y = 0.7
Finding: 5(x - y)
So we have that x - y = 0.7 meaning that for this equation we only need to multiply 5×0.7 which is 3.5
What is a math expression example?An example of a mathematical expression with a variable is 2x + 3. All variables ought to have a coefficient, a variety that is multiplied by means of the variable. within the expression 2x + three, the coefficient of x is the variety 2, and its method 2 instances x plus three.
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Give the domain and range.
Answer:
D
Step-by-step explanation:
The domain is the x coordinates which are {-2,0,2}
Answer:
D = { -2, 0 2}
R = { -3,-1 ,1 }
Step-by-step explanation:
The domain is the input or x values
D = { -2, 0 2}
The range is the output or y values
R = { -3,-1 ,1 }
Please help me with this I will really appreciate it thank you! It’s geometry
Answer:
150 degrees
Step-by-step explanation:
90+30=120.
Since angle afc is bisected by line bf, that means that the angles formed equal each other. Since the total angle measurement is 180 degrees, we do 180-120=60. 60/2=30. 120+30=150 degrees.
20) After 8 hours, half of a 16-gram sample of a radioactive element remains. Find the constant k for this element for t hours, then use y=ne^-kt to write the equation for modeling it’s exponential decay
- please help me
Answer:
k = 0.086
Step-by-step explanation:
We have the equation
y=ne^(-kt)
where y is the amount of radioactive material after t hours, n is the initial amount of radioactive material, and k is some constant.
We know the following data:
t: 8 hoursy = n/2 (half of a radioactive element remains)Replacing into the equation and solving for k:
[tex]y=ne^{-kt}[/tex]
[tex]\frac{n}{2}=ne^{-k8}[/tex]
[tex]0.5=e^{-k8}[/tex]
[tex]ln(0.5)=ln(e^{-k8})[/tex]
[tex]ln(0.5)=-k8ln(e)[/tex]
[tex]\frac{ln(0.5)}{-8}=k[/tex]
[tex]\frac{ln(0.5)}{-8}=k[/tex]
[tex]k = 0.086[/tex]
I need help finding the area of the triangle plz. sorry I don't understand fractions that much
Answer:
[tex]24\frac{4}{15}\\\mathrm{Decimal:\quad }\:24.26666\\=24.27m^2[/tex]
Step-by-step explanation:
Area of right triangle formula is
[tex]A=\frac{ab}{2} \\\frac{5\frac{3}{5}\cdot \:8\frac{2}{3}}{2}\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 5\frac{3}{5}=\frac{28}{5}\\\frac{\frac{28}{5}\cdot \:8\frac{2}{3}}{2}\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 8\frac{2}{3}=\frac{26}{3}\\\frac{\frac{28}{5}\cdot \frac{26}{3}}{2}\\\mathrm{Multiply\:}\frac{28}{5}\cdot \frac{26}{3}\::\quad \frac{728}{15}\\=\frac{\frac{728}{15}}{2}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{\frac{b}{c}}{a}=\frac{b}{c\:\cdot \:a}\\=\frac{728}{15\cdot \:2}\\\mathrm{Multiply\:the\:numbers:}\:15\cdot \:2=30\\=\frac{728}{30}\\\mathrm{Cancel\:the\:common\:factor:}\:2\\=\frac{364}{15}\\\mathrm{Convert\:improper\:fractions\:to\:mixed\:numbers}:\quad \frac{364}{15}=24\frac{4}{15}\\=24\frac{4}{15}\\\mathrm{Decimal:\quad }\:24.26666[/tex]
Answer please need help and is struggling
Use the substitution method to solve the system of equations
Answer:
C. (3,2)
Step-by-step explanation:
to begin the substitution method, we can begin by substituting the answer choice value into the given system or equations to determine if the values make the equation true.
the first choice is (2,1)
3(2) + 2(1) = 13
6 + 2 is not equal to 13. Therefore this answer choice is incorrect.
second choice (1,2)
3(1) + 2(2) = 13
3 + 4 is not equal to 13. This answer is also incorrect.
third choice (3,2)
3(3) + 2(2)
9 + 4 = 13 is true!
we can also substitute these x and y values for the equation underneath:
y = x - 1
2 = 3 - 1
2 = 2 is true! Therefore, C. (3,2) is correct!
What is the slope of the line that passes through the points ( 4 , − 2 ) (24,−17)? Write your answer in simplest form.
Answer:
-3/4
Step-by-step explanation:
The slope is given by
m = (y2-y1)/(x2-x1)
= (-17- -2)/(24-4)
= (-17+2)/ (24-4)
= -15/20
= -3/4
Answer:
y=-3/4x+1
Step-by-step explanation:
If a=-3/2 b=5/4 and c=7/8 prove that a(b+c) = ab +ac.
Thank you in advance
Answer:
You would figure this out by the method of substitution
Step-by-step explanation:
a= -3/2
b= 5/4
c=7/8
a(b+c) = a(b)+a(c)
Substitute
-3/2(5/4 +7/8) = -3/2(5/4)+-3/2(7/8)
-51/16 =-51/16
What is the value of x in the equation 3x -
by = 18, when y = 272
5
7
45
63
Mark this and return
Save and Fit
Given a line segment that contains the points A,B, & C in order, and given B is the midpoint of AC, if AB = 7x - 2, and BC = 4x + 7, find x. Select one: a. 9 b. - 2 c. 3 d. 7
Answer: the answer is c. 3
Step-by-step explanation:
Subtract 4x from 7x
3x-2=7
Then add 2 to 7
3x=9
Then divide 3 by 3x and 9 by 3
X=3
c. The value of x is 3
What is line segment ?
A line segment is a part of straight line measured between two points.
A line segment always have a definite length.
What is the value of x ?Given, a line segment contains points A, B, C in order.
Also the point B is the middle point of AC.
Hence, we can say that, AB = BC ......(1)
Here, AB = 7x-2 & BC = 4x+7
Therefore, from (1) we get,
7x-2 = 4x+7
⇒ 7x-4x = 7+2
⇒ 3x = 9
⇒ x = 3
The value of x = 3
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What is the maximum value of the function y = 5cos2x ?
(1) 5 (2) 2 (3) -5 (4) -2
Answer:
3. -5
Step-by-step explanation:
Suppose that F(x) = xo and G(X) = -2X3. Which statement best compares the
graph of G(x) with the graph of F(x)?
A. The graph of G(x) is the graph of F(x) flipped over the x-axis and
compressed vertically.
B. The graph of G(x) is the graph of F(x) flipped over the y-axis and
stretched vertically.
C. The graph of G(x) is the graph of F(x) flipped over the x-axis and
stretched vertically.
D. The graph of G(x) is the graph of F(x) flipped over the yaxis and
compressed vertically.
Answer:
C. The graph of G(x) is the graph of F(x) flipped over the x-axis and
stretched vertically
Step-by-step explanation:
Given:
F(x) = x³G(x) = -2x³If we multiply F(x) by -1, we flip it over the x-axis. We get -F(x).
If we multiply -F(x) by 2, we stretch it vertically.
HELP ME PLZ!!!
In Tier 3, half of the shelf space will occupy Go Math Textbooks and the other half of the space with Bounty paper towels, as shown below. Your answer must have work on how you did it OR an explanation.
Answer:
Your in middle school you should know this figure this by now FIGURE IT OUT ON YOUR OWN.....
Step-by-step explanation: yeah
Answer:
i dont know the volume but if it tells you what each book measures. Ive left a guide below to distribution.
Step-by-step explanation:
volume = 1
0.5 +0.5 = 1
volume 2
1+1 = 2
you just need to use the word distribution and show like this
(V): amount / 2 = new amount (adding cm^3)
To work out volume you take the length and width and height of the shelf of the books. you show your workings like this.
(V): L x Wx H =
You then multiply the amount of books if you was not given the measure of the bookcase shelf.
IF the bookcase is double like the picture and doesnt show the shelf measure than you half the hieght only and keep the same length and width.
H/2 = first and enter below the new height.
(V): L xWx H = this is the whole shelf
(V) = / 2 you enter the Volume amount infront of the /2 and this way you see the volume for the math textbooks being 1/2 of 1 by (/2)
Use the found answer
LAbel
MAth text books (V) =
Bounty paper towells (V) =
Then see how many cubic sheets fit.
ie) if they measure 30cm x 1cm x 30xm
and the shelf measures 30cm x 60 x 60
you can count up from the second values as the first values fit the length
The width = 1 x 60 - 60 books. (example 1cm Width thickness)
Then see the height does not change to the height of the books.
IF it does change then for every 2cm change you divide the height of the bookcase by 60-1, 60-2 or 60-3, 60-4cm etc. just one of these that fits the indifference of height
then multiply if 60-58cm = 58 we know this is 2 / 60 x 100 = 3.33%
To calculate percentage decrease: see above
First: work out the difference (decrease) between the two numbers you are comparing. Then: divide the decrease by the original number and multiply the answer by 100. If your answer is a negative number, then this is a percentage increase.
You then apply (V) of shelf number x 0.03 and then subtract from that shelf volume to show your workings or reapply the same technique to see how many fit as decrease ie) 0.50% = amount x 0.50 = 1/2 new amount.
A jar contains 5 red, 4 blue, and 3 yellow marbles. What is the probability of pulling a red marble, then pulling a blue marble, without
replacement? Calculate to the nearest tenth.
O 15.2 %
O 13.9%
14%
O 17.1%
Answer:
15.2%
Step-by-step explanation:
The total number of marbles in the jar is:
5 + 4 + 3 = 12 marbles
The jar contains 5 red, 4 blue, and 3 yellow marbles.
The probability of pulling a red marble is 5/12
There are now 11 marbles in the jar.
The probability of pulling a blue marble is 4/11
Therefore, the probability of pulling a red marble, then, pulling a blue marble, without replacement is:
5/12 * 4/11 = 5/33
Converting to percentage:
5/33 * 100 = 15.2%
please answer this questions
Answer:
Step-by-step explanation: since ab||ef, line cd is a transversal
x+35°=85° (alternate interior angles)
x=85-35
x= 50°
taking bd as a transversal
y= 35° (alternate interior angles)
taking bz as a transversal
y+z+40°= 180° (interior angles on the same side of the transversal)
z+35°+40°= 180°
z+75°= 180°
z= 180-75
z= 105°
PLEASE RATE 5 STARS AND VOTE AS BRAINLIEST:)
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Answer:
x = 50 degree found by working out c and d
y = 35 degree
z = 105 degree
Step-by-step explanation:
c is solved 180-85 = 95 as all straight lines equal (180)
d is solved 85-35 = 50 as it is alternate of c (85)
x is found 85 - 35 = 50 degree as it is part of d and not supplementary
y is found 180-95 = 85 then 85-50 = 35 as angles are adjacent and add up to 180 degree.
z is found 180-75 = 105 as angles are adjacent and add upto 180 degree but z is also alternate to missing c angle