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
Flying against the wind, an airplane travels 6060 kilometers in 6 hours, Flying with the wind, the same plane travels 12,150 kilometers in 9 hours. What is the rate of the plane in still air and what is the rate of the wind?
Answers
Let s be the plane's speed in still air and w the wind speed. Then
s - w = (6060 km)/(6 h) = 1010 km/h
s + w = (12,150 km)/(9 h) = 1350 km/h
Adding these equations together eliminates w and lets you solve for s :
(s - w) + (s + w) = 1010 km/h + 1350 km/h
2s = 2360 km/h
s = 1180 km/h
Anybody knows the answers to the monomial functions ?
Answers
Step-by-step explanation:
A monomial function is an expression with only one term. ... For example, a polynomial function is the sum of many monomial functions; If there's only one term in a polynomial function, then it is a monomial function [2]. Monomial functions can take many forms: A monomial (a number by itself is a “monomial”).
The measure of BAC is 240. What is the ratio of the measure of the major arc to the measure of the minor arc?
Answers
Explanation:
The major arc is given to be 240 so the remaining arc of the circle must be 360-240 = 120
240 must be the major arc since it is larger than 120, and the ratio is major:minor
- 240:120 simplifies to 2:1
Hope it helps :)
what is the measure of m?
Answers
Answer:
[tex]n^{2} +18^{2} =x^{2}[/tex]
[tex]6^{2} +x^{2} =m^{2}[/tex]
[tex]6^{2} +18^{2} +n^{2} =m^{2}[/tex]
[tex]m^{2} =n^{2} +360[/tex]
[tex]n^{2} +36=m^{2}[/tex]
[tex]m=15[/tex]
OAmalOHopeO
18. Mario rented a raft from River Rafter's Inc. He paid $100 to rent and
$25 for every hour. Carlos rented a raft from Oscar's Outdoor Shop. He
paid $50 to rent and $35 per hour. For what number of hours will both
rafting companies charge the same amount?
0
4
5
010
Answers
Answer:
5 hours
Step-by-step explanation:
The charge will be the same when what they pay is equal
100 + 25*number of hours = 50 +35 * number of hours
let number of hours =h
100 + 25h = 50 + 35h, subtract 25 h, and subtract 50 from both sides
100-50 = 35h -25h, combine like terms
50 = 10h , divide by 10 both sides
5 = h , in 5 hours the companies will charge the same amount
Mrs. Fox made $176.50 in three hours. How much did she make in one hour?
Answers
Answer:
58.83
Step-by-step explanation:
176.50 ÷ 3 = 58.83333
round down
Answer:
In explanation.
Step-by-step explanation:
If we know that Mrs.Fox makes a consitant rate .
meaning if you divide 176.50 by 3
you get 58.833333 but since money can only go up to two decimal places,
we round and get 58.83 dollars per hour.
Q 14. Two friends Tina and Reeta simplified two different expressions during the revision
hour and explained toeach other their simplifications,
V2
Tina explains simplification of Torta by rationalising the denominator and Reeta
explains simplifications of (72 + V3) (12 - 13) by using identity,
i)
Vz
By rationalising the denominator of
Tina got
VSV
vz
a)
c) V5 – 13
b) V7(13-va)
d)
Vic+V5)
2
ii)
Reeta apply
a) (a+b)
identity to simplify(V2 + 13) (12 – 73).
b) (a-b)?
c) (x+a) (x+b) d) (a+b)(a-b)
iii)
(12 + V3) (72 - 73) =
a) 5 b) (74 + 6
c) 1
d) -1
iv)
All the rational and irrational numbers make up the collection of
numbers.
a) Whole numbers
b) Integers
b) c) Real Numbers
d) Irrational Numbers
Answers
Your local clothing
store is having a sale
of 50% off on all
purchases. You
bought 2 shirts for $10
each and 1 pair of
pants for $15. What
was your final total
after the discount?
Answers
10x2=20
20+15=35
35÷2=17.5
3x + 7
2x + 3
x= [?]
Answers
Answer:
2x+3=3x+7
2x-3x=7-3
x= 4
Step-by-step explanation:
[tex]here \: 3x + 7 = 2x + 3 \\ 3x - 2x = 3 - 7 \\ x = - 4 \\ thank \: you[/tex]
Select the correct answer from each drop-down menu.
Drew is filing his tax return as single taxpayer. His taxable income is $39,000. Use the tax table provided to compute Drew's tax due and
effective tax rate.
Single Taxpayers: Income Brackets
Tax Income
Tax Owed
Rate Bracket
1096 O to 9,525 10% of taxable income
9,526 to $952.50 plus 12% of
1296
38,700 the excess over $9,525
$4,453.50 plus 22% of
2296
38,701 to
the excess over
82.500
$38,700
$14,089.50 plus 2496
82.501 to
2496
of the excess over
157.500
$82.500
$32,089.50 plus 3296
157.501 to
3296
of the excess over
200,000
$157.500
$45,689.50 plus 3596
200,001 to
3596
of the excess over
500,000
$200,000
$150,689.50 plus 3796
3796 > 500,000 of the excess over
55
Answers
The given tax rates are as follows:
Single Taxpayers: Income Brackets
Tax Income Rate Bracket Tax Owed
O to 9,525 10% 10% of taxable income
9,526 to38,700 12% $952.50 plus 12% of 38,700 the excess over
$38,701 to 82,500 22 % $4,453.50 plus 22% of 38,701 the excess over
82,501 to 157,500 24% $14,089.50 plus 24% of the excess over
157,500
157,501 to 200,000 32% $ 32089.50 plus 32% of the excess over
200,001 to 500,000 35% 45,689.50 plus 35% of the excess over
500,000 > 37% $150,689.50 plus 37% of 500,000 of the
excess over
The taxable income lies in the tax rate range of $38,701 to 82,500.
Therefore the tax would be
$4,453.50 + 22% of (39,000-38,701=299)
$4,453.50 + 22% of 299
$4,453.50 + 65.78
= $ 4519.28
The taxable income lies in the tax rate range of $38,701 to 82,500.
Due and effective tax rate is $4,453.50 plus 22% of 38,701 the excess over
The calculated tax is $ 4519.28
https://brainly.com/question/1105919
https://brainly.com/question/1160723
Answer:
$4,519.50 and 22%
Step-by-step explanation:
i got it right
HELP ASAPPPP NOWWW PLEASEEE
Answers
x=0 since 1 to the power of zero equals 1.
hope im not too late
Answer:
1. x=1
2. x=0
Download gauthmath and it will help
.
For the following, represent the sample space in set notation and state how many outcomes are
possible.
1. A bag contains 3 blue marbles, 2 red marbles, and 4 green marbles. You draw one marble.
Answers
Answer:
Step-by-step explanation:
the sample space is the set that contain all possible outcomes
B-blue, R-red, G-green
sample space is {B,B,B,R,R,G,G,G,G}
so there are 9 possible outcomes
please answer this question and attach a photo of your solution
Answers
Answer:
Step-by-step explanation:
[tex]a^{m}*a^{n}=a^{m+n}[/tex] .
Use distributive property.
[tex]\frac{1}{2}ab*(3a^{2}-5b^{2}a+10a^{2}b)=\frac{1}{2}ab*3a^{2}-\frac{1}{2}ab*5b^{2}a+\frac{1}{2}ab*10a^{2}b\\\\\\[/tex]
[tex]=\frac{3}{2}a^{1+2}b -\frac{5}{2}a^{1+1}*b^{1+2}+5*a^{1+2}*b^{1+1}\\\\\\=\frac{3}{2}a^{3}b-\frac{5}{2}a^{2}b^{3}+5a^{3}b^{2}[/tex]
What is the simplified form of each expression?
a. (6 + 3)2 − 4
b. 23 + (14 − 4) ÷ 2
A. a. 77
b. 13
B. a. 77
b. 9
C. a. 14
b. 13
D. a. 14
b. 9
Answers
Answer:
These kind of questions are called simply.
According to simply, there's a rule of solving which is BODMAS.
BODMAS stand for bracket of Divide, Multiple, Add, Subtraction.
(6+3)2-4> (9)2-4
> 18-4
> 16
• (6+3)2-4 = 16
2. 23+(14-4)÷2
> 23+10÷2
> 23+5
> 28
• 23+(14-4)÷2 = 28
Step-by-step explanation:
Hope it helps you
Out of 100 students in a school, 42 take English, 35 take Chinese and 30 take French. 20 take none of the subjects, 9 take French and English, 10 take French and Chinese, 11 take English and Chinese. Find the number of students who take 3 subjects?
Answers
Answer:
1 student
Step-by-step explanation:
From the Vann diagram attached below,
Let x represent the number of students who took 3 subjects.
Therefore,
100 = (42-9-11-x)+11+x+9+10+(35-10-11-x)+(30-9-10-x)+20
100 = 22-x+11+x+9+10+14-x+11-x+20
100 = 97-2x
2x = 100-97
2x = 3
x = 3/2.
x = 1.5
x = 1 student
Use trigonometric identities to solve each equation within the given domain.
1 – cos(x) = 2 – 2 sin2(x) from (–π, π) PLEASE SHOW WORK!!!
Answers
Recall that
cos²(x) + sin²(x) = 1
Then in the equation
1 - cos(x) = 2 - 2 sin²(x)
we can rewrite as
1 - cos(x) = 2 (1 - sin²(x))
1 - cos(x) = 2 cos²(x)
2 cos²(x) + cos(x) - 1 = 0
Factorize the left side as
(2 cos(x) - 1) (cos(x) + 1) = 0
so that
2 cos(x) - 1 = 0 or cos(x) + 1 = 0
cos(x) = 1/2 or cos(x) = -1
On the interval (-π, π) (note that this interval is open, so we don't allow x = π), we have
• cos(x) = 1/2 for x = π/3 and x = -π/3
• cos(x) = -1 for x = π
– 5 = -3 + a whats a?
Answers
Answer:
-5=-3+a
-5+3=a
a=-2
value of a is -2
please help me asap
(geometry)
Answers
Answer:
x is ten
Step-by-step explanation:
9 times ten is 90, then minus 40 is 50, and 3 times ten is 30, plus 20 is 50
Find P(blue and even).
A. 3/5
B. 1/10
c. 7/10
Answers
Answer: A. 3/5
Step-by-step explanation:
Assuming that they are colorful blocks,
There are in total 10 blocksThere are in total 2 blue blocksThere are in total 5 even blocksBlue blocks: 1, 2
Even blocks: 2, 4, 6, 8, 10
The net total of blue and even blocks:
2 + 5 = 7 blocksHowever, as we can see from above, the number [2] is repeated in both cases, thus we shall subtract one of them from the total number.
7 - 1 = 6 blocksWe analyzed at the beginning where there are 10 blocks in total. Then, utilizing the probability formula below:
6/10 = 3/5Hope this helps!! :)
Please let me know if you have any questions
The range of a sequence consists of________.
A. functions
B. terms in the sequences
C. negative numbers
D. natural numbers
Answers
Answer:
B. terms in sequences
Step-by-step explanation:
When graphed, a sequence is a scatter plot, a series of dots. (Do not connect the dots). The sum of the terms of a sequence is called a series.
OPTION B is correct.
The range of a sequence consists of terms in the sequences.
We have a statement the range of a sequence consists of.
We have to find which of the given options is a constituent of range of sequence.
What is a sequence?A sequence is an arrangement of objects in a particular order. They are of two types - finite and infinite.
Range of a sequence is the set of elements that can be used to plot it graphically. These elements are in general the y - coordinate of the point, with the x coordinate being x = n = 1, 2, 3,4 .... and so on. An example of a range of sequence is Set S = {2, 1, 5, 7, 8}.
Hence, the range of sequence consists of terms of sequence.
To understand more about sequence, visit the link below -
brainly.com/question/21961097
#SPJ2
Answer two questions about Equations A and B:
A. 3(x+2) = 18
B.
r + 2 = 6
1) How can we get Equation B from Equation A?
Answers
Step-by-step explanation:
3x+6=18
3x=18-6
3x=12
x=4
The temperature fell from 0 Degrees Fahrenheit to 15 and one-half Degrees Fahrenheit below 0 in 5 and three-fourths hours. Wen tried to find the change in temperature per hour. Her work is shown below.
Answers
Answer:
Step-by-step explanation:
I don't see Wen's work, but I'll show you mine!
We can create a set of coordinates for each of these sets of data, where x is the time in hours, and y is the number of degrees in Fahrenheit.
At time 0, the temp is 0: (0, 0)
5.75 hours late, the temp is -15.5: (5.75, -15.5)
We can find the change in temp per hour by using the slope formula, since slope is, after all, the rate at which something is changing.
[tex]m=\frac{-15.5-0}{5.75-0}=\frac{-15.5}{5.75}=-2.7[/tex] That is rounded to the tenths place from -2.695652174 so you can round it however you need. What the interpretation of this number is is that temp is falling at a rate of 2.7 degrees F per hour.
Answer:
- 2 16/23 degrees / hr
Step-by-step explanation:
15 1/2 = 31/2
5 3/4 = 23/4
31/2 ÷ 23/4 =
31/2 × 4/23 = 124/46 = 62/23 = 2 16/23
Please help with the question
Answers
Which set of ordered pairs could be generated by an exponential function?
(negative 1, negative one-half), (0, 0), (1, one-half), (2, 1)
(–1, –1), (0, 0), (1, 1), (2, 8)
(negative 1, one-half), (0, 1), (1, 2), (2, 4)
(–1, 1), (0, 0), (1, 1), (2, 4)
Answers
Answer:
(–1, –1), (0, 0), (1, 1), (2, 8) (y = x^2)
(–1, 1), (0, 0), (1, 1), (2, 4) (y = x^3)
Answer:
C
Step-by-step explanation:
if a(b+c)=d and a, b, c and d are all integer, then which of the following must be true?
A. ab+c=d
B. ab+ac=d
C. a(b+c)>10
D. ab
Answers
Answer:
B. ab+ac=d
Step-by-step explanation:
Answer:
ab + ac = d
Step-by-step explanation:
a(b+c)=d
Distribute the a
ab + ac = d
help!! need to find the area
Answers
Answer:
10*5 +2(2*2)
50+8
58
Step-by-step explanation:
Answer:
58 units
Step-by-step explanation:
Select another name for angle 2 in the figure below.
Answers
Answer:
Angle CAB
Step-by-step explanation:
Find the points that correspond to angle 2 and name them in order.
find the common difference in the linear sequence sequence 69,53,47,30
Answers
What value of x will make the equation true?
(Square Root of 5) (square root of 5)=x
Answers
Answer:
(2.236067978)(2.236067978)
=5 ans.
If this is incorrect forgive me
I hope this will help you
stay safe
Ted practices two types of swimming styles for a total of 50 minutes every day. he spends 20 minutes more practicing the breast stroke than the butterfly stroke.
Part A: write a pair of linear equations to show the relationship between the number of minutes ted practices the butterfly stroke every day (x) and the number of minutes he practices the breast stroke every day (y).
Part B: how much time does ted spend on practicing the breast stroke every day?
Part C: is it possible for ted to have spent 45 minutes practicing the butterfly stroke every day? explain your reasoning.
Answers
Answer:
see below
Step-by-step explanation:
butterfly = x minutes
breast = y minutes
total is 50 minutes
breast stroke = butterfly +20
Part A
x+y = 50
y = x+20
Part B
Substitute the second equation into the first
x+ (x+20) = 50
2x+20 = 50
2x+20-20 = 50-20
2x = 30
2x/2 = 30/2
x = 15
y = x+20
y = 20+15
y = 35 minutes
35 minutes on the breast stroke
Part C
45 minutes on the butterfly is not reasonable
We only have a total of 50 minutes
50-45 = 5
But he spend more time on the breast stroke ( 20 minutes more), but if he spend 45 minutes on the butterfly, he would have to spend less on the breast stroke.
