Answer:
[tex] x = 4 [/tex]
Step-by-step explanation:
[tex] GH = 3x [/tex] (given)
[tex] HJ = x + 16 [/tex] (given)
[tex] GJ = 32 [/tex] (given)
[tex] GH + HJ = GJ [/tex] (segment addition postulate)
[tex] (3x) + (x + 16) = 32 [/tex] (substitution)
Solve for x
[tex] 3x + x + 16 = 32 [/tex]
[tex] 4x + 16 = 32 [/tex]
[tex] 4x + 16 - 16 = 32 - 16 [/tex] (subtraction property of equality)
[tex] 4x = 16 [/tex]
[tex] \frac{4x}{4} = \frac{16}{4} [/tex] (division property of equality)
[tex] x = 4 [/tex]
You purchase 20 lottery tickets, for which the probability of winning some prize on a
single ticket is 1 in 20. What is the probability that you will have at lease one winning
ticket among the 20 tickets?
What is the value of h in the diagram below? If necessary, round your answer
to the nearest tenth of a unit.
Answer:
what's the diagram??
Step-by-step explanation:
what's the diagram??
the average number of potholes per 10 miles of paved us roads is 130
X+y=6 in slope intercept form
Harold had a summer lemonade
stand where he sold small cups for
$1.25 each and large cups for $2.50
each. He made $265. If Harold sold
88 small cups, find the number of
large cups he sold.
The basketball team scored a total
Answer:
62 large cups were sold
Step-by-step explanation:
88*1.25=110
265-110=155
155/2.50=62
Write equation given linear situation
After a baby was born, he began to gain weight at a rate of 1.5 pounds per month. The
weight of the baby at birth was 10 pounds. Write an equation for W, in terms of t,
representing weight, in pounds, of the newborn baby t months after birth.
Answer:
W=1.5x+10
Step-by-step explanation:
1.5x is the rate of weight per month
10 is the constant (how much he/she weighed at birth)
Find the LCM of the given numbers 24 36
A:36
B:72
C:144
D:864
Answer:
B
Step-by-step explanation:
24*3=72
36*2=72
2 1/4 hrs are how many seconds
Answer:
8100 seconds
Step-by-step explanation:
2 1/4 = 2.25
2.25 x 3600 = 8100
Rewrite 11/40 as a decimal number
Answer:0.275
Step-by-step explanation:
There was a green house. Inside the green house there was a white house. Inside the white house there was a red house. Inside the red house there were lots of babies. What is it?
Answer:
A watermelon my woman
Step-by-step explanation:
What restriction should be applied to y = tanx for y = arctanx to be defined?
Look at the picture below for the choices.
Answer:
its c on edge
Step-by-step explanation:
restrict the domain to (-pi/2,pi/2)
The restriction that should be applied to the function [tex]y = tanx[/tex] for [tex]tan^{-1} (x)[/tex] to be defined is option (C) restrict the domain to [tex](-\frac{\pi }{2} ,\frac{\pi }{2} )[/tex] is the correct answer.
What is graph of a function?A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The graph of a function f is the set of all points in the plane of the form (x, f(x)).
For the given situation,
The graph below shows the functions tan(x) and arctan(x) that is tan^-1(x)
In order to have an inverse function for trigonometry, we restrict the domain of each function, so that it is one to one.
A restricted domain gives an inverse function because the graph is one to one and able to pass the horizontal line test.
Thus by restricting the domain [tex](-\frac{\pi }{2} ,\frac{\pi }{2} )[/tex] we can obtain the function [tex]tan(x)[/tex] as [tex]tan^{-1} (x)[/tex].
Hence we can conclude that the restriction that should be applied to the function [tex]y = tanx[/tex] for [tex]tan^{-1} (x)[/tex] to be defined is option (C) restrict the domain to [tex](-\frac{\pi }{2} ,\frac{\pi }{2} )[/tex] is the correct answer.
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Please help me if you know the correct answer, thank you
9514 1404 393
Answer:
Option 3Option 1Option 3Step-by-step explanation:
1. The domain is the horizontal extent of the graph. The domain of the solution space extends to x=8 on the right, with x=8 not included. The appropriate description is ...
(-∞, 8)
__
2. A suitable matrix calculator gives the solution as ...
(2, 5, -2)
__
3. A suitable matrix calculator gives no solution. (The reduced form of the last equation is 0=1. No variable values will make this true.)
Hye Lim drank 4/3 gallons of water in 11/2 hours. At this rate, how long will it take her to drink 4 gallons of water?
Answer:
16.5 hours
Step-by-step explanation:
Here is the explanation. As Hye drinks 4/3 gallons of water in 11/2 hours, we have a constant rate. There are 12 thirds in 4, so we are trying to find how long it takes Hye to drink 12/3 gallon. In this case, 4/3x3=12/3, so we multiply 11/2 by 3 as well, which gives us 33/2 hours. 33/2 in decimal form is 16.5 hours. Hope it helps!
Answer:
33/2 hours option 2
Step-by-step explanation:
Got it correct on edge :) hope it helps
HELP ASAP I don’t get it
Answer:
-11/5
Step-by-step explanation:
In order to solve it u should open the mixed fraction ,i.e,
11/7÷-15/21
=11/7×-21/15
Cutting,
ans=-11/5
Mark me the brainliest
Answer:
Fraction: -11/5
Decimal form: -2.2
Mixed number form: -2 1/5
Step-by-step explanation:
evaluate the expression when x=3:5x+12
Answer:
27
Step-by-step explanation:
5(3)=15 +12 = 27
4. Stella is running in the 90 meter dash at her school track meet. If her speed is
6 meters/second, how long will it take her to run 90 meters?
Amy opened a savings account with $1.350 she received for graduation. The account pays 4.3% simple interest. What is the balance after 6 months?
Angle A 5x - 5 angle b = 3x + 13 what is angle b
Answer:
Step-by-step explanation:
do you mean what is c?
How do u know wether two quantities x and y are proportional
Answer:
How do u know wether two quantities x and y are proportional?
Step-by-step explanation:
Every sum x + y is the same for related pairs of x and y.
I hope that helped, let me know if you need help with anything else.
PLEASE ANSWER REALLY QUICK PLEASE?!?!?!?!
Answer:
12x -11
Step-by-step explanation:
Lets start by applying the 2/3 to the two values in the parenthesis. Doing so will yield: 4x -7 +8x -4. We can simplify this to be 12x -11
Solve the inequality: -2x + 5 ≥ 3x + 20
A) x ≤ 15
B) x ≤ 3
C) x ≥ 3
D) x ≤ -3
Answer:
D) [tex]x \leqslant - 3[/tex]
Explanation provided above.
The solution to the inequality -2x + 5 ≥ 3x + 20 is x ≤ -3.
Option D is the correct answer.
We have,
To solve the inequality -2x + 5 ≥ 3x + 20, we can follow these steps:
Subtract 3x from both sides to isolate the variable on one side:
-2x - 3x + 5 ≥ 3x - 3x + 20,
-5x + 5 ≥ 20.
Subtract 5 from both sides:
-5x + 5 - 5 ≥ 20 - 5,
-5x ≥ 15.
Divide both sides by -5.
Remember that when dividing by a negative number, the inequality direction flips:
(-5x) / (-5) ≤ 15 / (-5),
x ≤ -3.
Therefore,
The solution to the inequality -2x + 5 ≥ 3x + 20 is x ≤ -3.
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Help me please I will give Brainlyest
Answers Below
1) = 1/5
2) = 1/4
3) = 3/20
4) = 2/25
5) = 1/3
Please Brainly
Answer:
i)1/5
ii)1/2
iii)3/20
iv)1/3
Step-by-step explanation:
Just keep eliminating in all sums as we are multiplying and u will get the ans.
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1. What is the difference between Salary and Wage?
2. $15 per hour is the basic rate at a factory. After a 48-hour basic work week,
overtime is paid time and a half.
a. If no one worked overtime and the factory paid $15840 in wages one week
how many workers are in the factory?
b. During another week, a worker in the factory earns $810 in wages for
himself. How many hours did he work for?
Hi
Answer:
answer yourself
Step-by-step explanation:
Which set of numbers is the most reasonable to describe the number of desks in a classroom?
A. irrational numbers
B. whole numbers
C. integers
D. rational numbers
Answer:
B you could get the exact number if desk
Answer:
Whole numbers is the most reasonable to describe the number of desks.
Given a linear equation in the form y=mx+b, what are the values of the slope and y-intercept of the equation?(1 point) The slope is m, and the y-intercept is y. The slope is x, and the y-intercept is b. The slope is b, and the y-intercept is m. The slope is m, and the y-intercept is b.
Answer:
The slope is m, and the y-intercept is b.
Step-by-step explanation:
What ever is attached to the x is the slope. The y-intercept is the b because it has a 0 on the x axis and a number on the y axis.
IF x=-4 and y=6 then xy-3x=
Answer:
-12
Step-by-step explanation:
The answer is -12 because -4x6=-24, and then you add 12 to the result. -24+12=-12, so there's your answer.
after sharing a pizza you and two friends divide the cost by three. You each owe $2.66. Explain how to round this to the nearest dime?
Answer:
Hi so you have the answer
Say you have 1.23 if the last digit is under 5 it would be 1.20
Now say you have 3.47 if the last digit is above 5 it would be 3.50
If it is something like 4.45 the 5 is the last digit so it would be 4.50
Step-by-step explanation:
um hope this helped :)
I don’t understand this .
Answer:it’s b because can fold into the shape
Step-by-step explanation:
PLEASE help
PLEASE
Answer:
7) $57.2 (Multiply 65 by 0.12. You get $7.8. Finally, subtract 7.8 from 65.)
8) $20 (Multiply 29.99 by 0.3333. Subtract 9.99 from 29)
9) $35.7 (Do the same steps as above)
10) $276.675 (Do the same steps as above)
11) The decimal form of 57% is 0.57
12) cost= c×0.57
13) $70.65
14) $25.65 was added
Why is 18:3 and 6:1 equivalent ratios
Answer:
Because if you multiply 6 three times, it comes out to be 18.
So basically, 6 x 3 = 18
To be sure, 18 ÷ 6 = 3
So, 18:3 = 6:1
18:3 and 6:1 are equivalent ratios because those are equivalent fractions.
What is the ratio?Suppose that we've got two quantities with measurements as 'a' and 'b'
Then, their ratio(ratio of a to b) a:b
or [tex]\dfrac{a}{b}[/tex]
We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).
Suppose that we've got a = 6, and b= 4, then:
[tex]a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3[/tex]
Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unitless(no units) quantity.
Explanation;
If we get the factors of the first ratio, we will see that;
18: 6 and 3, and 18 and 1
3: 3 and 1
Hence, if we display the ratios in fractions;
18/3 = 6/1
And then we write them in factors, we will get;
3x6/3x1 = 6/1
Simplifying;
3/3 x 6/1 = 2/1 x 3/1 = 1/6
Therefore, 18:3 and 6:1 are equivalent ratios.
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