Answers
Part G
The two angles ABD and DBC form a straight line, so the angles add to 180 degrees.
Let's solve for x.
angle ABD + angle DBC = 180
(0.5x+20) + (2x-10) = 180
2.5x+10 = 180
2.5x = 180-10
2.5x = 170
x = 170/2.5
x = 68
Then we'll use this to find angle ABD
angle ABD = 0.5*x + 20
angle ABD = 0.5*68 + 20
angle ABD = 34 + 20
angle ABD = 54
Answer: 54 degrees============================================================
Part H
Use the value of x we found back in part G to find the measure of angle DBC
angle DBC = 2x - 10
angle DBC = 2(68) - 10
angle DBC = 136 - 10
angle DBC = 126
An alternative is to subtract the measure of angle ABD from 180
angle ABD + angle DBC = 180
angle DBC = 180 - (angle ABD)
angle DBC = 180 - 54
angle DBC = 126
Answer: 126 degrees============================================================
Part I
This time, the two angles add to 90 degrees as shown by the square corner marker.
(angle XYW) + (angle WYZ) = 90
(1.25x - 10) + (0.75x + 20) = 90
2x + 10 = 90
2x = 90-10
2x = 80
x = 80/2
x = 40
which then leads to,
angle XYW = 1.25*x - 10
angle XYW = 1.25*40 - 10
angle XYW = 50 - 10
angle XYW = 40
Answer: 40 degrees============================================================
Part J
We can subtract the result of part I from 90 degrees to get the answer
angle WYZ = 90 - (angle XYW)
angle WYZ = 90 - 40
angle WYZ = 50
Or we could plug the x value x = 40 into the expression for angle WYZ
angle WYZ = 0.75*x + 20
angle WYZ = 0.75*40 + 20
angle WYZ = 30 + 20
angle WYZ = 50
Answer: 50 degrees============================================================
Summary:
The answers we found were
G. 54 degreesH. 126 degreesI. 40 degreesJ. 50 degreesAnswer:
G. m∠ABD = 54°
H. m∠DBC = 126°
I. m∠XYW = 40°
J. m∠WYZ = 50°
Step-by-step explanation:
∠ABD and ∠DBC are supplementary angles. This means their angles have a sum of 180°.
[tex]\frac{1}{2}x+20+2x-10=180\\\frac{5}{2}x+10=180\\\frac{5}{2}x=170\\x=68[/tex]
m∠ABD = 1/2(68) + 20 = 34 + 20 = 54
m∠DBC = 2(68) - 10 = 136 - 10 = 126
Same concept for ∠XYW and ∠WYZ only this time they are complementary angles. This means their angles have a sum of 90°.
[tex]1\frac{1}{4}x-10+\frac{3}{4}x+20=90\\2x+10=90\\2x=80\\x=40[/tex]
m∠XYW = 1 1/4(40) - 10 = 50 - 10 = 40
m∠WYZ = 3/4(40) + 20 = 30 + 20 = 50
Related Questions
Select the correct answer from the drop-down menu.
If A and Bare independent events, P(Aand B) =
1. P(A)
2.P(B)
3.P(A) * P(B)
4.P(A) + P(B)
Answers
Answer:
Step-by-step explanation:
P(A and B)=P(A)*P(B)
Inverse proportion
it takes 3 hrs for two people to clean six identical rooms.
how long would it take 5 people to clean 20 of the same rooms at the same k rate
i know answer need explan.
Answers
Answer:
Hello,
4 hours
Step-by-step explanation:
Let say w the work clean one room.
h the number of hours worked
p the number of people who works
k is a constant
6w=k*h*p
3 h, 2 p==> 6w
6w=k*3*2 ==> k=w
5 p, 20 w ==>
20w=k*h*p
20w=w*h*5
20=h*5
h=20/5
h=4
It will take 4 hours.
Write an equation of the line. What is the equation of the line?
Answers
Answer:
y=-1
Step-by-step explanation:
As the line is horizontal in nature and pass through (2,-1), the equation is y=-1
Could someone plz help ^w^ thank you!
Answers
Answer:
The first one:)
Step-by-step explanation:
REMEMBER TO:
1. Give me Brainliest, please... (ASAP)
2. HAVE A WONDERFUL DAY!
Answer:
12 - 7 = 5
Step-by-step explanation:
For the polynomial, (((x^3)+3x+2)/5)+((5x^2)/2)-(x^6)
a. Determine the coefficient of x^3.
b. Determine the coefficient of x^6.
c. Determine the constant of the term
polynomial.
d. Determine the degree of the polynomial.
Answers
Answer:
Hello,
Step-by-step explanation:
[tex](((x^3)+3x+2)/5)+((5x^2)/2)-(x^6)\\\\=\dfrac{x^3}{5} +\dfrac{3*x}{5} +\dfrac{2}{5} +\dfrac{5*x^2}{2} -x^6\\\\\\=-x^6+0x^5+0x^4+\dfrac{x^3}{5} +\dfrac{5*x^2}{2} +\dfrac{3*x}{5}+\dfrac{2}{5} \\\\\\a)\ \dfrac{3}{5} \\\\b)\ -1\\\\c)\\degree=6\\[/tex]
Please help explanation if possible
Answers
Step-by-step explanation:
Hi there!
The given equation is:
y = -2x + 5………………(i)
Comparing the equation with y = mx+c, we get;
m1 = -2
Also another equation of the line which passes through point (-4,2), we get;
(y-2) = m2(X+4)............(ii) { using the formula (y-y1) = m2(x-x2)}
According to the question, they are perpendicular to eachother, So according to the condition of perpendicular lines;
m1*m2 = -1
-2*m2 = -1
or, m2 = 1/2.
Therefore, m2= 1/2.
Now, keeping the value of m2 in equation (ii).
(y-2) = 1/2(x+4)
y = (1/2)x + 4
Therefore, the required equation is: y = (1/2)x + 4.
Hope it helps!
Find the coordinates of the image of M (−3, −4) after the translation (x, y) → (x + 4, y).
Answers
Answer:
(1,-4)
Step-by-step explanation:
We add 4 to the x-coordinate, so -3+4=1.
i need help with this stuff and i need the answers step by step thank you!!
Answers
Answer:
2. A
3. C
4. B
Step-by-step explanation:
2. To answer # 2, just add all the sides together...
(5x-7) + (3x-4) + (2x-6)
= 10x - 17
3. To answer # 3, divide/mulitply both the numerators and denominators by the same number and check to see if that answer matches the displayed answer...
a) 28 divided by 7 is 4, so divide the whole fraction by 7 to see if the fraction is proportional...
28/7 = 4
49/7 = 7
[tex]\frac{4}{7} =\frac{4}{7}[/tex]
b) 4 goes into 16 4 times so multiply [tex]\frac{4}{7}[/tex] by 4...
4 x 4 = 16
7 x 4 = 28
[tex]\frac{16}{28}[/tex] = [tex]\frac{16}{28}[/tex]
c) 4 goes into 16 4 times so multiply the whole fraction by 4...
4 x 4 = 16
7 x 4 = 28
[tex]\frac{16}{28}[/tex] ≠ [tex]\frac{16}{35}[/tex]
d) 4 goes into 20 5 times to multiply the whole fraction by 5...
4 x 5 = 20
7 x 5 = 35
[tex]\frac{20}{35} = \frac{20}{35}[/tex]
C is the answer because the fractions are not proportional.
4) 25% is a quarter of 100%. A third of 100% is 75%.
$120 - 0.25($120) = $90
Another expression for the for sale price is...
B) 0.75($120) = $90
Consider the functions F and G in the tables below
PLEASE HELP PLEASE
Answers
Answer:
Option A, As x increases, the rate of change exceeds the rate of f
11) MZHGF = 16x + 4, m EGF = 110°,
and MZHGE = 3x + 11. Find x.
G
H
F
E
Answers
=======================================================
Explanation:
The smaller angles HGE and EGF combine to form the largest angle HGF.
This is an example of the angle addition postulate.
(angle HGE) + (angle EGF) = angle HGF
(3x+11) + (110) = 16x+4
3x+121 = 16x+4
121-4 = 16x-3x
117 = 13x
13x = 117
x = 117/13
x = 9 which is the final answer
We can stop here.
--------------------
Extra info (optional section)
Use this x value to find each angle shown below
angle HGE = 3x+11 = 3*9+11 = 27+11 = 38 degreesangle HGF = 16x+4 = 16*9+4 = 144+4 = 148 degreesThen notice how,
(angle HGE)+(angle EGF) = 38+110 = 148
which is exactly the measure of angle HGF
This confirms that the equation
(angle HGE) + (angle EGF) = angle HGF
is true for that x value of x = 9. Therefore, the answer is confirmed.
9514 1404 393
Answer:
11) x = 9°
13) x = -12°
Step-by-step explanation:
11) ∠HGE +∠EGF = ∠HGF
(3x +11) +(110°) = (16x +4)
117° = 13x . . . . . . . . . . . . . . . subtract 3x+4, collect terms
9° = x . . . . . . . . . . . . divide by 13
__
13) ∠BCF +∠FCD = ∠BCD
(x +78) +(x +41) = 95°
2x = -24°
x = -12°
Geometry, please answer question ASAP
Answers
Answer:
D
Step-by-step explanation:
Cos(D) = adjacent / hypotenuse
The adjacent side is the one making up angle D
adjacent side = f
hypotenuse = e
Cos(D) = f/e
D = cos-1(f/e)
Please Help!!!!
Write context that will match to the parameters in the following exponential function.
y= 38000. 3x
Answers
Step-by-step explanation:
kak kak jm ok bro open your eyes men open your eyes men open your eyes men open your eyes men open your eyes men open your eyes men open your eyes men
Answer:
n
Step-by-step explanation:
feeeeer
In a mathematics class, half of the students scored 79 on an achievement test. With the exception of a few students who scored 49, the remaining students
scored 78. Which of the following statements is true about the distribution of scores?
A. The mean is greater than the mode.
B. The mean is greater than the median.
C. The mean and the median are the same.
OD. The mean is less than the median
Answers
Answer:
i went with mean is less than median
Step-by-step explanation:
other website lol
In algebraic expression
Three-fourths the square of a number.
Answers
Answer:
3/4x^2
Step-by-step explanation:
Answer:
[tex] \frac{3}{4} \sqrt{x} [/tex]
where 'X' is the number
Step-by-step explanation:
hope this helps
HURRY ASAP 80 (I NEED THIS ANSWER BY TONIGHT OR TOMORROW)
Discussion Topic
Is there more than one way to find the slope of a line? If so, describe both methods of solving for slope.
Answers
Answer:
yes there are more than one ways to find slope of a line.
Step-by-step explanation:
When both the points are given of same line we may use formula to find slope.
If equation of line is given we can convert it into slope intercept form and then we can find slope.
How to you write 1/25 using exponents
Answers
Answer:
[tex]5^{-2}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex] , then
[tex]\frac{1}{25}[/tex] = [tex]\frac{1}{5^{2} }[/tex] = [tex]5^{-2}[/tex]
In exponent form, it should be written as [tex]5^{-2}[/tex].
Given that,
The fraction is [tex]\frac{1}{25}[/tex]We need to write in the exponent form
Based on the above information, the calculation is as follows:
[tex]a^{-m} = \frac{1}{a^{m}} \\\\\frac{1}{25} = \frac{1}{5^{2}}[/tex]
[tex]5^{-2}[/tex]
Learn more: brainly.com/question/17429689
Circles in the Coordinate Plane
Acellus
Complete the equation of this circle:
А
1
Answers
Answer:
(x -+2)² + (y - 4)² = 36
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (- 2, 4) and r = 6 , then
(x - (- 2))² + (y - 4)² = 6² , that is
(x + 2)² + (y - 4)² = 36 ← equation of circle
Sailor Sheftat
Angle Terminology with Equations
Aug 03, 8:01:46 AM
?
ZA and B are complementary angles. If mZA= (6x – 4)º and m
ZB = (x + 17), then find the measure of ZA.
BE
Answer:
Submit Answer
attempt 1 out of 2
Pls help
Answers
Answer:
Does the answer help you?
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Find the interquartile range of the data set that consists of 10, 10, 8, 4, 5, 7, 7, 4, 3, 10.
A. 4
B. 10
C. 7
D. 6
Answers
Answer:
I think 10 is the correct answer.
The answer to this problem
Answers
Answer:
x = 12°
y = 1.4 cm
Step-by-step explanation:
1. Because the two triangles are similar, their corresponding angles are congruent.
so
3x + 14 = 50
Subtract 14 from both sides
3x = 36
Divide both sides by 3
x = 12
x = 12° (remember units)
Check work:
3(12) + 14 = 50
36 + 14 = 50
50 = 50
2. Because the two triangles are similar, their corresponding sides are in equal proportion.
Two sides of triangle ABE are
5.6 and 4
And two corresponding sides of triangle ACD are
5.6 + y and 5
So
5.6 / 4 = (5.6 + y) / 5
Cross multiply
5.6 * 5 = 4(5.6 + y)
Multiply 5.6 * 5 on the left
28 = 4(5.6 + y)
Distribute the 4 to each term
28 = 4*5.6 + 4*y
Simplify the right side
28 = 22.4 + 4y
Subtract 22.4 from both sides
5.6 = 4y
Divide by 4 on both sides
1.4 = y
y = 1.4 cm (remember units)
Check our work:
5.6/4 = (5.6 + 1.4)/5
1.4 = 7/5
1.4 = 1.4
how do you solve division easly
Answers
Answer:
division involves 5 steps:
D Divide
M Multiply
S Subtract
B Bring down
R Repeat or Remainder
Step-by-step explanation: i hope it helped
How to find the absolute value of |2b+4| with b=-8
Answers
Step-by-step explanation:
the absolute value simply removes a negative sign, if there is one. if there is no negative sign, it leaves the argument untouched.
so, we need to calculate the argument first :
2b + 4 = 2×-8 + 4 = -16 + 4 = -12
|-12| = 12
that's it.
1.) You plan to cut a board into 3 pieces to repair part of a railing. You are going to cut the two ends of the board off into two equal pieces that are 1.4 feet long, if the remaining piece needs to be 1.17 times longer than the each of the first two cuts what length board should you buy? Round to the nearest tenth.
2.) You are looking at your power bill for the month, you pay 13 cents per kilowatt-hour. Your power bill came out to $83.96 homes many KWH of energy were used in your house this month?
3.) you were looking at your power bill for the month, you pay nine cents per kilowatt hour. Running a 60 W lightbulb for one hour is .0 6 KWH, if you leave a light on all the time that has 5 lightbulbs in it how much would that cost in a 30 day month? answer in the form of $2.54 without the dollar sign
Answers
Here we have 3 general algebraic problems that we need to solve. Using simple reasoning we can solve these.
1) L = 4.4 ft
2) This month you used 645.85 KW-h in your home.
3)Cost = $19.44
1) You will buy a board of length L.
You will cut two pieces that are 1.4 ft long.
So at this point, the length of the board piece is:
L - 1.4ft - 1.4ft = L - 2.8ft.
Now, you want this to be 1.17 times longer than 1.4ft, then we need to solve:
L - 2.8ft. = 1.17*(1.4ft) = 1.638ft
L = 1.638ft + 2.8ft = 4.438ft
Rounding to the nearest tenth, we get:
L = 4.4 ft
This is the length of board you should buy.
2) Here we know:
You pay $0.13 per KW-h
This month, you pay a total of $83.96
The total number of KW-h you used is equal to the quotient between the total amount you paid and the price of a single KW-h, this is:
N = $83.96/$0.13 = 645.85
This month you used 645.85 KW-h in your home.
3) Here we know:
You pay $0.09 per KW-h.
Running the bulb for one hour consumes 0.06 KW-h
So, if you leave one of these lights on all day (24 hours) it would consume:
24*0.06 KW-h = 1.44 KW-h
If you instead leave 5 of these bulbs, you will consume 5 times that amount:
5*1.44 KW-h = 7.2 KW-h
This is in one single day, if you do this for 30 days, the total consumption is:
30* 7.2 KW-h = 216 KW-h
And you pay $0.09 for each one of these, then the cost is 216 times $0.09
Cost = 216*$0.09 = $19.44
If you want to learn more about algebra, you can read:
https://brainly.com/question/24382046
Answer:
This will help for more:
brainly.com/question/24382046
Step-by-step explanation:
k12
Find the area of the shaded region
Answers
Answer:
12 sq. units
Step-by-step explanation:
The formula for finding the area of a triangle is a = 1/2bh, or 1/2 times base times height.
To do this, multiply the base (6) and height lengths (4). This gets you 24.
But we're not done. You must then multiply by 1/2, which is the same a dividing by 2/1 or 2. 24/2 = 12. Slap on the unit of measurement and you've got your answer.
anyone wanna help me with this.
Answers
Answer:
b
Step-by-step explanation:
2/(x+2)≠1/(x+1)
5. Solve the differential equation y" - 5y "+7y'-3y=0.
Answers
The differential equation
y''' - 5y'' + 7y' - 3y = 0
has characteristic equation
r ³ - 5r ² + 7r - 3 = (r - 3) (r - 1)² = 0
with roots at r = 3 and r = 1 (with multiplicity 2), so that the characteristic solution to the DE is
y = C₁ exp(3x) + C₂ exp(x) + C₃ x exp(x)
PLEASE HELP! I'M TIMED
Which phrase represents this expression?
(62−42)×3
3 times the difference of 62 and 42
3 times the difference of 42 and 62
the difference of 62 and the product of 3 times 42
the difference of the product of 3 times 42 and 62
Answers
Solving expression
[tex]\\ \rm\Rrightarrow (62-42)3[/tex]
[tex]\\ \rm\Rrightarrow 3(20)[/tex]
[tex]\\ \rm\Rrightarrow 60[/tex]
Answer:
3 times the difference of 62 and 42
Step-by-step explanation:
(62−42)×3
The difference of 62 and 42 times 3
Find the following measure for this figure.
3
The volume for this figure??
Answers
Answer:
24
Step-by-step explanation:
Volume of a cuboid = length*base*height or 4*2*3=24. The volume of this cuboid is 24.
if g(x) is x-3 then what is g(3x)
Answers
Work Shown:
g(x) = x-3
g(3x) = 3x-3
We simply replaced every x with 3x. There isn't much else to show in terms of work. I suppose you could factor out the GCF to say g(3x) = 3(x-1), but that isn't much of a simplification in my opinion.
Answer:
Step-by-step explanation:
The meaning of g(x) = x - 3 is that whatever you put in the x on the left, you will put in the x on the right.
g(3x) = 3x - 3 is the correct answer.
Shelly charges $10 per hour for her babysitting servives. Last month Shelly babysat for 15 hours. This month she babysat for n hours.
a. Write an expression using parentheses to describe how much money she made.
b. Given that n=12, evaluate your expression using the distributive property.
Answers
Answer:
A. 10(15) + 10n = $ made for babysitting
B. $270
Step-by-step explanation:
B. 10(15) + 10(12)
150 + 120 = $270
