Find the values of x and y that make these triangles congruent by HL.
x = -3 y - 4
x = -4 y-3
x = -6. y-5
x = -5, y = 6
Answer:
[tex]x=5, y=6[/tex]
Step-by-step explanation:
we know that
If triangles ABC and AED are congruent, then its corresponding sides are congruent
so
BC=ED
AC=AD
substitute the given values
[tex]x=y-1[/tex] ----> equation A
[tex]3x-2=2y+1[/tex] ----> equation B
solve the system by substitution
substitute equation A in equation B
[tex]3(y-1)-2=2y+1[/tex]
solve for y
[tex]3y-3-2=2y+1[/tex]
[tex]3y-2y=1+5[/tex]
[tex]y=6[/tex]
Find the value of x
[tex]x=y-1[/tex] ----> [tex]x=6-1=5[/tex]
therefore
[tex]x=5, y=6[/tex]
help!!!!!!!!!!!!!!!
Answer:
First Option.
Step-by-step explanation:
I recommend using the app Photomath for these types of math problems. It gives a detailed explanation as to how you should solve them.
Order the numbers from
least to greatest.-7/5 -1 5/11
-1.45
-1 91/200
Answer:
-1 91/200, -1.45, -7/5, -1 5/11
Step-by-step explanation:
Lowest Common Denominator:
LCD = 2200
Equivalent Fractions with the LCD
-7/5 = -3080/2200 (-7/5)
-15/11 = -3000/2200 (-1 5/11)
-145/100 = -3190/2200 (-1.45)
-291/200 = -3201/2200 (-1 91/200)
Please help!!!!!!!!!!!!
Answer:
t = 0.77
Step-by-step explanation:
f(t) = 11 × (1.5^t)
f(t) = 15
11 × (1.5^t) = 15
1.5^t = 1.364 (3d.p)
log1.5(1.364) = t
t = 0.77 (2d.p)
DOES ANYONE KNOW HOW TO DO THIS??????????? NEED HELP QUICK!!!!!!!!
Answer:
1. Figure 4
2. Figure 3
3. Figure 2
Step-by-step explanation:
Sorry I cant explain it.
if you sleep 8 hours of each day what fraction of the day do you not sleep
Answer:
16/24 which can then be simplified to 2/3
Answer:
8/24 = 1/3
Step-by-step explanation:
What is a benefit of getting an Associate Degree?
Answer:
you can qualify for more jobs and make more money
Step-by-step explanation:
Final answer:
One benefit of getting an Associate Degree is gaining specialized knowledge and skills, which can increase job prospects. Additionally, it can be a stepping stone towards earning a higher degree, leading to more opportunities. Lastly, earning an Associate Degree can provide personal fulfillment and a sense of accomplishment.
Explanation:
One benefit of getting an Associate Degree is that it provides students with the opportunity to gain specialized knowledge and skills in a specific field. This can make them more competitive in the job market and increase their chances of finding employment. For example, someone with an Associate Degree in Business Administration may have a better understanding of business operations and management principles, which can be valuable in entry-level positions or when starting their own business.
Another benefit is that an Associate Degree can serve as a stepping stone towards earning a higher degree. Many universities and colleges accept transfer credits from associate degree programs, allowing students to continue their education and earn a bachelor's degree or beyond. This can open up more career opportunities and potentially lead to higher salaries.
Lastly, getting an Associate Degree can also provide personal fulfillment and a sense of accomplishment. It shows that you have successfully completed a program of study and have attained a certain level of expertise in a subject area. This can boost self-confidence and motivate you to pursue further education or career goals.
help with math again *10 pts* asap
Answer:
[tex]a_n=2n+5[/tex]
Step-by-step explanation:
we have the sequence
[tex]7,9,11,...[/tex]
we know that
In an Arithmetic Sequence the difference between one term and the next is a constant and this term is called a common difference
Let
[tex]a_1=7\\a_2=9\\a_3=11[/tex]
we know that
[tex]a_2-a_1=9-7=2[/tex] ----> [tex]a_2=a_1+2[/tex]
[tex]a_3-a_2=11-9=2[/tex] ----> [tex]a_3=a_2+2[/tex]
The common difference is 2
This is an arithmetic sequence
The general formula for an arithmetic sequence is
[tex]a_n=a_1+d(n-1)[/tex]
where
d is the common difference
n is the number of terms
substitute the given values
[tex]a_n=7+2(n-1)[/tex]
[tex]a_n=7+2n-2[/tex]
[tex]a_n=2n+5[/tex]
Least common denominator of 7/9 and 2/3
Answer: 9
Step-by-step explanation: The common denominator will be the least common multiple for the two denominators.
To find the least common multiple or lcm of 3 and 9, begin by listing the first few multiples for each number.
Multiples of 6
1 × 9 = 9
2 × 9 = 18
3 × 9 = 27
Notice that we skipped 0 × 9 in our list of multiples. That's because 0 × 6 is 0 according to the zero property of multiplication and our least common multiple can't be 0.
When listing the multiples of 3, it's a good idea to keep an eye on the list of multiples for 9 so that we will notice when we find a least common multiple.
Multiples of 3
1 × 3 = 3
2 × 3 = 6
3 × 3 = 9
Notice that in both lists, we have the least common multiple which is 9.
Therefore, the least common denominator of 9 and 3 is 9.
2. ** You have $10 to spend on lunch today and want both a drink and a salad. The drinks cost $1.25 each
and the salad costs $0.20 per ounce.
a
Write an equation that models this situation.
$0.20x + $1.25 = $10
Where x = ounces of salad
30 pt, easyish
PLEASE HELP AND WRITE SOMETHING GOOD.
HELP PLEASE
What is the starting point and rate of change for
a(x) = 210(1.12)x
please help FAST
The starting point is (0 , 210) and the rate of change is 1.12
Step-by-step explanation:
The form of the exponential function is [tex]f(x)=a(b)^{x}[/tex] , where
a ix the initial value ⇒ (at x = 0)b is the factor of growth/decay of the function ⇒ (rate of change)If b > 1, then the function is growthIf 0 < k < 1, the the function is decay∵ The function is [tex]a(x)=210(1.12)^{x}[/tex]
∵ At the starting point x = 0
- Substitute x in the function by 0
∴ [tex]a(0)=210(1.12)^{0}[/tex]
- Remember any number to power of zero = 1 except 0
∴ [tex](1.12)^{0}=1[/tex]
∴ a(0) = 210(1) = 210
∵ a(x) = y
∴ The starting point is (0 , 210)
∵ The from of the exponential equation is [tex]f(x)=a(b)^{x}[/tex]
∵ [tex]a(x)=210(1.12)^{x}[/tex]
- Compare the two function
∴ b = 1.12
∵ b is the rate of change of the function
∴ The rate of change of the function is 1.12
The starting point is (0 , 210) and the rate of change is 1.12
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passes through (1, -3), slope = -1
Answer:
The needed line equation is : x + y + 2 = 0
Step-by-step explanation:
The slope m of the given line equation = -1
The points through which the line passes is (1,-3).
Now,as we know:
The POINT SLOPE form of the equation with point (x0,y0) is given as:
y - y0 = m (x-x0)
So, the equation if line q=with m = -1 and (x0,y0) = (1,-3) is given as
y - (-3) = -1( x - 1)
or, y + 3 = 1 -x
or, x + y + 2 = 0
Hence, the needed line equation is : x + y + 2 = 0
Buttons are sold in packets and in boxes.
There are 6 buttons in a packet.
There are 15 buttons in a box.
Nomusa buys packets of buttons and boxes of buttons.
She buys a total of buttons.
Write a formula for in terms of and .
Answer:
Let the number of packets be x and the number of boxes be y.
Then, the formula is 6x + 15y
Step-by-step explanation:
The formula for the total number of buttons Nomusa buys, represented by t, in terms of the number of packets, p, and boxes, b, she buys is: t = 6p + 15b.
Explanation:In this mathematical context, let's suppose that Nomusa buys p packets and b boxes of buttons. The total number of buttons can be represented by the letter t. Since there are 6 buttons in a packet and 15 buttons in a box, the total number of buttons Nomusa buys will be the sum of all buttons in the packets and boxes she buys. Thus, the formula in terms of p (packets) and b (boxes) will be: t = 6p + 15b.
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Antoine made $33,284 last year. He receives a 4.5% annual raise. What will his new salary be
Answer:
$34781.78
Step-by-step explanation:
$33,284 * 1.045 = $34781.78
The new salary will be $34781.78
Last year salary = $33284
Annual raise = 4.5%
Therefore, based on the above figures the new salary will be:
= $33284 + (4.5% × $33284)
= $33284 + (0.045 × $33284)
= $33284 + $1497.78
= $34781.78
Based on the calculation above, the new salary will be $34781.78
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The price of a car was decreased by 10% to £729. What was the price before the decrease?
Answer:
810
Step-by-step explanation:
90/100=729/x
100×729= 90x
72900=90x
810 = x
Answer:
£810
Step-by-step explanation:
100% - 10% = 90%
£729 is 90 % after the price was decreased by 10%. Therefore, Divide £729 by 90% to get the original price.
£729/90% = £810
Can someone help me find the value of x?
Thanks!
Answer:
x = 7
Step-by-step explanation:
The segment joining the midpoints of the 2 sides of the triangle is one half the length of the third side, that is
2x - 6 = 8 ( add 6 to both sides )
2x = 14 ( divide both sides by 2 )
x = 7
-3(x-3y) I dont know hot to solve the question
- 3(x - 3y) = - 3x + 9y
You're welcome.
Answer: get the app mathaway or math photo it will help u so so much
Step-by-step explanation:
What is the absolute value of 2.84
Answer:
2.84
Step-by-step explanation:
Answer:
-9
Step-by-step explanation:
plz help me I will mark you brainlest plz give me explaination
Answer:
3.3
bc jamal is standing on a platform 1.5 meters high but the trout is under by 4.8
so
4.8-1.5=3.3
Step-by-step explanation:
Answer:
3.3 meters below surface
Step-by-step explanation:
Jamal dude and the distance between surface of water is 1.5 meters
----------------------------------------------------------/ <- the surface of water
\
I
trout / below jamal by 4.8
equation is 1.5- 4.8 so its - 3.3 or 3.3 meters below surface
How do you do a two step inequality?
Step-by-step explanation: It takes two steps to solve an equation or inequality that has more than one operation:
Simplify using the inverse of addition or subtraction.
Simplify further by using the inverse of multiplication or division.
I looked this up on Google JUST to be sure. I truly hope this helped! Your fellow Brainly user, GalaxyGamingKitty May I have Brainliest please?
A price was first decreased by 12%, then it was decreased again by an additional 5%. What is the percent of the total decrease?
Answer:
The answer is 16.4%
Step-by-step explanation:
The total decrease of price percentage is 16.4% when the price was decreased by 12% .
Evaluating decrease price :
The first discount reduces the price to (100 - 12)%
= 88% which is 0.88 times the original price.
The second discount reduces the already discounted price to
(100 - 5)% =
95% of the discounted price
(0.95 times the discounted price). Get 2 discounts combined
Final Price = (0.95)(0.88) x (Original Price)
= 0.836 x (Original Price)
This is 83.6% of the original price, so the total discount rate is
(100 - 83.6)%
= 16.4%.
what is 50% in fractions
Answer: It is 50/100
Answer:
50/100 or 1/2
Which expressions are equivalent to 76(3 + c)?
Answer:
76c + 228
Step-by-step explanation:
Use the distributive property
76 × 3 = 228
76 × c = 76c
76c + 228
Answer:
76c + 228
Step-by-step explanation:
6. Leo earns $16/h as a gardener in a city
park. For time worked above 35 h in a
week, he earns time-and-a-half. How much
does he earn for each of the following
numbers of hours worked in a week?
a) 36 h b) 39 h c) 42 h
h
a) He will earn $584 for working 36 hours.
b) He will earn $656 for working 39 hours.
c) He will earn $728 for working 42 hours.
Step-by-step explanation:
Amount per hour = $16
Time and a half means 1.5 times more than the original payment.
Therefore, above 35 hours, the earning for one hour,
Extra time per hour = 16*1.5 = $24
A) 36 h
For the first 35 hours, he will get $16 per hour, therefore,
Amount of 35 hours = [tex]35*16= \$560[/tex]
Amount of one hour = $24 (as calculated above)
Total = 560+24 = $584
He will earn $584 for working 36 hours.
B) 39 h
39 h = 35h + 4h
Amount of 35 hours = $560
Amount of extra 4 hours = $24*4 = $96
Total = 560+72 = $656
He will earn $656 for working 39 hours.
C) 42 h
42 h = 35h + 7h
Amount of 35 hours = $560
Amount of extra 7 hours = 24*7 = $168
Total = 560+168 = $728
He will earn $728 for working 42 hours.
Keywords: addition, multiplication
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Make w the subject of the formula y-aw=2w-1
Answer:
w = (y+1)/(2+a)
Step-by-step explanation:
y-aw=2w-1
y+1 = 2w+aw (collecting the like terms)
y+1 = w(2+a)
w(2+a) =y+1
w = (y+1)/(2+a)
A newspaper conducted a statewide survey concerning the 1998 race for state senator. The newspaper took a SRS of n=1100 registered voters and found that 570 would vote for the Republican candidate. Let p represent the proportion of registered voters in the state who would vote for the Republican candidate. We test H0:p=.50 Ha:p>.50 (a) What is the z-statistic for this test? (b) What is the P-value of the test?
Part A
p = 0.5 is the hypothesized population proportion
x = 570 is the number of successes
n = 1100 is the sample size
phat = x/n = 570/1100 = 0.518182 is the approximate sample proportion
SE = standard error
SE = sqrt(p*(1-p)/n)
SE = sqrt(0.5*(1-0.5)/1100)
SE = 0.015076 which is approximate
----
We have enough to compute the z test statistic
z = (phat - p)/(SE)
z = (0.518182 - 0.5)/(0.015076)
z = 1.206023
z = 1.21
Answer: The z-statistic is approximately 1.21==============================
Part B
Compute the probability of getting a z score larger than 1.21
P(Z > 1.21) = 1 - P(Z < 1.21)
P(Z > 1.21) = 1 - 0.8869 .... see note below
P(Z > 1.21) = 0.1131
note: the value 0.8869 comes from the table that I've attached as an image below. I have marked in red the proper row and column used to look up the value. The z table is commonly found in statistics textbooks toward the back sections. There are also many free online z tables you can search out as well. I used a z table found online. Alternatively, you can use your TI83 or TI84 calculator to compute the area under the normal curve. You would use the normalCDF function.
Answer: The P-value is approximately 0.1131The z-statistic for testing whether the proportion of voters favoring the Republican candidate is greater than 0.50 is approximately 1.36. The P-value associated with this z-statistic is roughly 0.0869, indicating the probability of observing such sample results if the true proportion was indeed 0.50.
A newspaper conducted a statewide survey regarding the 1998 race for state senator, sampling n=1100 registered voters, with 570 favoring the Republican candidate. We are testing the hypotheses H₀: p = .50 against Ha: p > .50, where p represents the proportion of registered voters in the state who would vote for the Republican candidate. The steps for calculating the z-statistic and the P-value are outlined.
Calculation of the z-statistic:
To calculate the z-statistic for this test, we use the formula z = (p' - p₀) / √(p0(1 - p₀) / n), where p' = 570/1100 = 0.518 is the sample proportion, and p₀ = 0.50 is the null hypothesis proportion. Plugging in the numbers, we get:
z = (0.518 - 0.50) / √(0.50(1 - 0.50) / 1100) ≈ 1.36.
Calculation of the P-value:
The P-value is the probability that, assuming H0 is true, we would observe a sample proportion as extreme as or more extreme than the one observed. For a z-statistic of 1.36 in a right-tail test, the P-value can be found using a Z-table or software, resulting in:
P-value ≈ 0.0869.
To conclude, based on the calculated P-value, the decision on whether or not to reject the null hypothesis would depend on the level of significance (α) chosen for the test.
23,478 round to the nearest ten thousands
Answer:
20,000
Step-by-step explanation:
because its closer to 20,000 than 30,000
A bacteria culture has an initial population of 25. This bacteria reproduces at a daily rate of 1.28 percent. How long will it take for the population to grow to 375 bacteria?
Answer:
212.9 days
Step-by-step explanation:
The bacteria culture initial population is 25 represented by Po and the population after t days is represented by P(t).
Using growth formula:
P(t) = Po ( 1 + r)^t where r is rate in percent and t is time in days
r = 1.28%, P(t) = 375, and Po = 25
substituting this values into the equation above yields
375 = 25 (1 + 1.28/100)^t
375÷25 = ( 1 + 0.0128)^t
15 = (1.0128)^t
take logarithm of both sides
log 15 = log (1.0128)^t remember the law log a^b = b log a
applying the same law gives
log 15 = t log 1.0128
divide both side by log 1.0128
log 15 ÷ log 1.0128 = t log 1.0128 ÷ log 1.0128
t = 212.9 days
Answer:
211 days
Step-by-step explanation:
Write the equation of the line passing through (-2,5) and parallel to the line y=2x+6
Answer:
y=2x+9
Step-by-step explanation:
Stephen invests $2,000 in a savings account paying 6% annual interest. Find the balance after 5 years if the interest is compounded quarterly.
Final answer:
The balance in the savings account after 5 years, with quarterly compounded interest, will be $2,699.80.
Explanation:
To find the balance after 5 years when the interest is compounded quarterly, we can use the formula for compound interest:
[tex]A = P(1 + r/n)^(nt)[/tex]
Where:
- A is the final amount
- P is the principal amount (initial investment)
- r is the annual interest rate (in decimal form)
- n is the number of times the interest is compounded per year
- t is the number of years
Plugging in the given values:
[tex]A = $2,000(1 + 0.06/4)^(4*5)[/tex]
[tex]A = $2,000(1.015)^20[/tex]
A = $2,000 * 1.3499
A ≈ $2,699.80
After 5 years, the balance in the savings account will be approximately $2,699.80.