Here,
BC = 12
CD+BD=12
2x-9+x-9 =12
3x-18 12
3x =12+18
x =30/3
x =10
Now,
CD = 2x-9
= 2×10-9
= 20-9
= 11
Therefore,CD = 11
Hope this solution may help you!!☺
The value of the segment CD is 11 units for the given line segment.
A line segment is a fundamental geometric object that represents a portion of a straight line with defined endpoints. It is a finite portion of a line that connects two distinct points. The endpoints of a line segment are specific points that mark its boundaries.
From the given image the value of x will be calculated as,
CD + DE = 12
(2x - 9 ) + ( x - 9 ) = 12
3x - 18 = 12
3x = 30
x = 10
The measure of the segment CD is,
CD = 2x - 9
CD = 2(10) - 9
CD = 20 - 19
CD = 11
Therefore, the value of the segment is 11.
To know more about line segments follow
https://brainly.com/question/17374569
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solve:
2×+3=5
class 7th chapter simple equation
Answer:
x=1
Step-by-step explanation:
2x+3=5
2x=5-3
=2
x= 2÷2
= 1
Answer:
x = 1
Step-by-step explanation:
2x + 3 = 5
2x = 2
x = 1
If this helps you, please mark brainliest!
Have a nice day!
PLZ HELP! I will give brainliest!!!
Answer: x axis is time in hours, y axis is water level in centimeters
I can't see the rest of the problem since you didnt show it
Step-by-step explanation:
A car is moving at a rate of 72 km/hr. How far does the car move when it stops after 4 seconds? anwer is 125m
please help me to solve it .l have been stuck here in this question for 2hrs.i am new and l need ur help
tujuh di kali tujuh sama dengan?
Answer:
49Step-by-step explanation:
➡️ Pertanyaan:
7 × 7
➡️ Penyelesaian:
7 × 7
49 ✅
[tex] \: [/tex]
Answer:
49
[tex] \: \: \: \: \: \: \: \: [/tex]
What is the common solution for the equations y = 3x + 1 and y = x + 3? Write your answer an ordered pair!
Answer:
(1,4)
Step-by-step explanation:
Hi there!
We're given the system:
y=3x+1
y=x+3
We need to find the common solution (the point at which the lines intersect); we do this by finding the value of the variables.
Let's start with x
Since both equations equal y, we can make 3x+1 and x+3 equal to each other, because of a property known as transitivity (if a=b and b=c, then a=c)
3x+1=x+3
subtract 1 from both sides
3x=x+2
subtract x from both sides
2x=2
divide both sides by 2
x=1
we found the value of x
now we need to find the value of y
We do this by plugging x as 1 into either one of the equations to solve for y
let's use y=x+3 for example
substitute x as 1
y=1+3
add
y=4
we found the value of y.
Your question asks for the answer to be written as an ordered pair, which will be (1,4)
Hope this helps!
Answer:
(1, 4 )
Step-by-step explanation:
Given the 2 equations
y = 3x + 1 → (1)
y = x + 3 → (2)
Substitute y = 3x + 1 into (2)
3x + 1 = x + 3 ( subtract x from both sides )
2x + 1 = 3 ( subtract 1 from both sides )
2x = 2 ( divide both sides by 2 )
x = 1
Substitute x = 1 into either of the 2 equations and evaluate for y
Substituting into (2)
y = 1 + 3 = 4
solution is (1, 4 )
The circle below has center H. suppose mIJ=84. What is mIGL
Answer:
m∠IGJ = 42°
Step-by-step explanation:
It's given in the question,
m(arc IJ) = 84°
And we have to get the measure of ∠IGJ.
By using the property of inscribed angle and the intercepted arc.
"Measure of an inscribed angle is half of the measure of intercepted arc"
m(arc IJ) = 2(m∠IGJ)
84° = 2(m∠IGJ)
m∠IGJ = 42°
Simplify the following expressions without using calculator 8/(2sqrt(6) + 3) - 4/(2sqrt(6) -3)
Step-by-step explanation:
[tex] \tt \longrightarrow \dfrac{8}{2 \sqrt{6} + 3 } - \dfrac{4}{2 \sqrt{6} - 3 } \\ \\ \tt \longrightarrow \dfrac{8(2 \sqrt{6} - 3) - 4(2 \sqrt{6} + 3)}{(2 \sqrt{6} + 3)(2 \sqrt{6} - 3 ) } \\ \\ \tt \longrightarrow \dfrac{16\sqrt{6} - 24 - 8 \sqrt{6} - 12}{(2 \sqrt{6} ) {}^{2} - (3) {}^{2} } \\ \\ \tt \longrightarrow \dfrac{8\sqrt{6} - 36}{24 - 9 } \\ \\ \tt \green{\longrightarrow \dfrac{8\sqrt{6} - 36}{15 }} [/tex]
Jason and Donny painted a house and received $1.200. To complete the painting job Jason painted 4 hours 25 minutes and Donny spent 2 hours and 15 minutes. If they split the $1.200 in proportion to the amount of time each spent painting, how much did Donny receive?
Answer:
$405
Step-by-step explanation:
Total hours = 4 hrs 25 min + 2 hrs 15 min = 6 hrs 40 min = 400 min
4 hrs 25 min = 265 minutes
2 hrs 15 min = 135 min
Donny's share = [tex]\frac{135}{400} of 1200[/tex]
[tex]=\frac{135}{400}*1200=135*3\\\\= 405[/tex]
On a coordinate plane, 4 lines are shown. Line A B goes through (negative 4, 3) and (4, 3). Line C D goes through (negative 3, 0) and (3, 2). Line F G goes through (negative 3, negative 1) and (3, negative 3). Line H J goes through (negative 1, negative 4) and (1, 2).
Which of the lines that appear in the graph would be parallel to a line with a slope of 3 and a y-intercept at (0, 3)?
line AB
line CD
line FG
line HJ
Answer:
fg
ur welcome and im out
Step-by-step explanation:
Help me asp thank you
Answer:
23 - ( 9 - 5 )²
= 23 - (4 )²
= 23 - 16
= 7
hope it is helpful to you ☺️
a tank is 2.7m long 5.0m wide 3.2m high how many liters can it hold when full
Answer:
1 liter = 1,000 cubic cm.
the tank is 270 cm by 500 cm by 320 cm
270 * 500 * 320 = 43,200,000 cc =
43,200 liters =
43.2 cubic meters
Step-by-step explanation:
Nintendo is interested in the gaming experience of players for their new Mario Kart game . What type of survey should they use to gather the data?
Answer:
Online surveys
Explanation:
Online surveys will be the most suitable survey type here to gather gamers' experience with Nintendo's new game. Also being the most common and convenient type of surveys nowadays, online surveys are very much flexible and can be tailored to suit any audience, and even has a broader audience. Nintendo can use online surveys here to gather user's(all over the world) experience through their website, emailed to people directly etc. There is even a wider reach now considering the popular use of mobile devices.
LENGHT OF THE RECTANGLE IS 7 LESS THAN THE TWICE OF THE BREADTH THEN FIND ITS DIMENSIONS IF THE PERIMETER IS 40 CM
Step-by-step explanation:
Length of rectangle = 7 less than the twice the breadthPerimeter = 40 cmLet us say the breadth as b and length as l.
→ Length = 7 less than the twice the breadth
→ l = 2b - 7 ...(1)
Now, according to the question,
→ Perimeter of rectangle = 2(l + b)
→ 40 = 2(2b - 7 + b)
→ 40 = 2(3b - 7)
→ 40 = 6b - 14
→ 40 + 14 = 6b
→ 54 = 6b
→ 54 ÷ 6 = b
→ 9 m = Breadth
Now, finding length.
→ l = 2b - 7
→ l = 2(9) - 7 m
→ l = 18 - 7 m
→ Length = 11 m
Evaluate each of the following expression giving the answer in scientific notation
Answer:
Step-by-step explanation:
[tex]A) 5.3*10^{4}+4.7*10^{4}= (5.3 + 4.7)*10^{4}=10*10^{4}=10^{5}\\\\\\B) 3.7*10^{6} - 3.3*10^{6}=(3.7-3.3)*10^{6}=0.4*10^{6}=4.0*10^{-1}*10^{6}=4.0*10^{6-1}=4.0*10^{5}\\\\\\C) 4.8*10^{-3}+6.3^{-2}=4.8*10^{-2}*10^{-1}+6.3*10^{-2}\\\\=(4.8*10^{-1} +6.3)*10^{-2}\\\\=(0.48+6.3)*10^{-2}\\\\=6.78*10^{-2}\\\\\\D)6.6*10^{-5}-6.1*10^{-4}=6.6*10^{-1}*10^{-4}-6.1*10^{-4}\\\\=(6.6*10^{-1}-6.1)*10^{-4}\\\\=(0.66-6.1)*10^{-4}\\\\= (-5.44)*10^{-4}[/tex]
Find the missing angle
Answer option
30 degrees
130 degrees
Given:
The measure of one angle in the figure is 50 degrees.
To find:
The missing angle in the figure.
Solution:
Let x be the measure of the missing angle. Then
[tex]x+50^\circ=180^\circ[/tex] [Supplementary angles]
[tex]x=180^\circ-50^\circ[/tex]
[tex]x=130^\circ[/tex]
Therefore, the measure of the missing angle in the figure is 130 degrees. Hence, the correct option is B.
Which of the following is a point-slope equation for a line with the point
(-2,4) and a slope of 3?
A. y - 4 = 3(x - 2)
B. y - 4 = 3(x+2)
C. y-2 = 3(x-4)
D. Y + 2 = 3(x-4)
Please answer asap
Answer:
B
Step-by-step explanation:
point-slope formula: y-y1 = m(x-x1)
y1 = 4 ; x1 = -2 ; m (slope) = 3
plugging it in to the formula, you get y-4 = 3(x-(-2)
then you get y-4 = 3(x+2)
Question 5Multiple Choice Worth 1 points)
(02.03 MC)
Choose the equation that represents the graph
-answer choices
y=x-3
y=-x+3
y=-x-3
y=x+3
Answer:
i think it would be y=x+3
Step-by-step explanation:
Find the length of “b”, to the
nearest tenth, using the
Pythagorean Theorem.
Answer: b= 11.2
10^2 + b^2 = 15^2
100 + b^2 = 225
b^2 = 125
b= [tex]\sqrt{125}[/tex]
b= 11.2
Step-by-step explanation:
Answer:
b = square root of 125
Put into calculator and put to 1dp
Step-by-step explanation:
Pythagorean theorem is
a^2 + b^2 = c^2
The a and b are the two short sides and c is always the hypotenuse
We just put the numbers in
10^2 + b^2 = 15^2
Now we can rearrange so that b^2 is by its self on the left side
b^2 = 15^2 - 10^2
Now just solve by putting into calculator
b^2 = 125
And finally square root to get b^2 down to b
b = square root of 125
Put into calculator and put to 1dp
a=10^x, b=10^yanda^y^*b*x=100then2xy=?
Answer:
Here is your answer
Step-by-step explanation:
xy = 1
Hope you like it : )
Find the area of the circle. (Picture attached). Thank you!!
Answer:
254.5cm²
Step-by-step explanation:
I assumed that the units is cm.
hope it helps!!!
Emily has pledged to start a healthy lifestyle and so she started walking to keep fit. On Monday, she walked 2/4 of a mile, and on Tuesday she walked 5/6 of a mile. How far did she walk in her first two days of exercise?
Quickkkkkk
Answer:
1 [tex]\frac{1}{3}[/tex] miles.
Step-by-step explanation:
2/4 + 5/6 = ?
We must convert these fractions to the same denominator so we can add fractions. Least common multiple of 4 and 6 is 12.
2/4 = 6/12
5/6 = 10/12
6/12 + 10/12 = 16/12
16/12 = 4/3
4/3 = 1 [tex]\frac{1}{3}[/tex]
1
Select the correct answer from each drop-down menu.
The function () = 13 has been transformed, resulting in function h.
h(t) = -(1 + 2)2 – 4
To create function h, function fwas translated 2 units
„. translated 4 units
and reflected across the
Answer:
To create function h, function f was translated 2 units right , translated 4 units up and reflected across the x axis
Step-by-step explanation:
Given
[tex]f(x) = x^3[/tex]
[tex]h(x) =-(x + 2)^3 - 4[/tex]
Required
Complete chart
First: f(x) was translated right by 2 units
The rule of right translation is [tex](x,y) \to (x + 2,y)[/tex]
So, we have:
[tex]f'(x) = f(x + 2)[/tex]
[tex]f'(x) = (x + 2)^3[/tex]
Next: f'(x) was translated up by 4 units
The rule of down translation is [tex](x,y) \to (x,y+4)[/tex]
So, we have:
[tex]f"(x) = f'(x) +4[/tex]
[tex]f"(x) = (x + 2)^3 +4[/tex]
Lastly, f"(x) was reflected across the x-axis;
The rule of this reflection is: [tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex]h(x) = -f"(x)[/tex]
[tex]h(x) = -[(x+2)^3 + 4][/tex]
Remove bracket
[tex]h(x) = -(x+2)^3 - 4[/tex]
Marcos decide abrir una cuenta de ahorro para financiar en el futuro los estudios de su hijo recien nacido. Por suerte, el banco le ofrecio la tasa de interes anual de 4,8%. El monto que deposito Marcos en la cuenta fue de $1000 000.Si no retira el dinero ni los intereses, ¿que capital tendra a los 5 años? ¿que capital tendra cuando su hijo cumpla 18 años?
Answer:
Resultados debajo
Step-by-step explanation:
Dada la siguiente información:
Tasa de interes anual (i)= 4,8%
Inversión inicial (VP)= $1.000.000
Para calcular el valor final (VF), debemos usar la siguiente formula:
VF= VP*(1 + i)^n
Para 5 años:
VF= 1.000.000*(1,048^5)
VF= $1.264.172,72
Para 18 años:
VF= 1.000.000*(1,048^18)
VF= $2.325.429,02
Help pleaseeee I need it ASAP
Answer:
Option D:Diagonals of a square bisect each other
Step-by-step explanation:
The diagonals of a square are equal and bisect each other at right angles and making the bisected parts equal.
Which of the following is an irrational number?
√108 is an irrational number among following
Answer:
The first number
He second is a rational decimal number and the third equals to 8.
A survey was done to determine the relationship between gender and subject preference. A total of
56 students were surveyed to determine if they liked math, English, social studies, or science as their
favorite subject. The results were then broken down based on whether the respondent was male or
female.
The question is incomplete. The complete question is :
A survey was done to determine the relationship between gender and subject preference. A total of 56 students were surveyed to determine if they liked math, English, social studies, or science as their favorite subject. The results were then broken down based on whether the respondent was male or female.
Which of the following is the closest to the joint relative frequency of being a male who likes social studies ?
Solution :
A two way table used in statistics and mathematics is used to show the frequencies or the relative frequencies for any two categorical variables. One of the category is represented by the rows while the other categories by a column.
Here, in this table it is given that the total surveyed = 56 students
From the table, we know that number of males who likes social studies = 8
Therefore, the closest to the joint relative frequency for being a male who likes the subject social studies is given by :
[tex]$=\frac{8}{56}$[/tex]
[tex]$=\frac{1}{7}$[/tex]
=0.14
Quick, What is the value of x?
A. 2
B. 3
C. 6
D. 7
Answer:
Im pretty sure the answer is b using the formula
plz help me I will give u branist and follow u and also give u like plz help me
Answer:
hi the answer is the first option, value assigned by the incorporation documents
please give brainliest
Express y in terms of x in the equation =
Answer:
y = 3/2x + 5
Step-by-step explanation:
2y - 3x - 10 = 0
2y = 3x + 10
y = 3/2x + 5
Help me or i will kill Shrek!
Answer:
pls dont kill my dad.. i cant help but please. hes the only thing i have left man
Step-by-step explanation:
i would so help if i could but i just really dont want shrek dead