Answers
Answer/Step-by-step explanation:
∆ABC is similar to ∆CDE. Therefore, the ratio of their corresponding sides are proportional.
This,
[tex] \frac{DE}{AB} = \frac{DC}{AC} [/tex]
[tex] \frac{4}{3} = \frac{x + 3}{x + 1} [/tex]
Solve for x
[tex] 4(x + 1) = 3(x + 3) [/tex]
[tex] 4x + 4 = 3x + 9 [/tex]
[tex] 4x + 4 - 4 = 3x + 9 - 4[/tex]
[tex] 4x = 3x + 5 [/tex]
[tex] 4x - 3x = 3x + 5 - 3x [/tex]
[tex] x = 5 [/tex]
Use the value of x to find AC and DC
[tex] AC = x + 1 = 5 + 1 = 6 [/tex]
[tex] DC = x + 3 = 5 + 3 = 8 [/tex]
Related Questions
Using fluorescent imaging techniques, researchers observed that the position of binding sites on HIV peptides is approximately Normally distributed with a mean of 2.45 microns and a standard deviation of 0.35 micron. What position, in microns, are 20% of binding sites greater than
Answers
Answer:
2.74 microns
Step-by-step explanation:
According to the given situation, the calculation of position, in microns, is shown below:-
Here we will use the standard normal table,
P(Z > z) = 20%
1 - P(Z < z) = 0.2
P(Z < z) = 1 - 0.2
P(Z < 0.84) = 0.8
after solving the above equation we will get
z = 0.84
Now we will use the z-score formula,
[tex]x = z \times \sigma + \mu[/tex]
[tex]x = 0.84 \times 0.35 + 2.45[/tex]
x = 0.294 + 2.45
= 2.744 microns
or
= 2.74 microns
please hurry! solve this proof
Answers
Answer:
Step-by-step explanation:
Parallelogram has 2 parallel pairs of sides, and the parallel lines have to be opposite therefore they have to be parallel.
Help me please thank you
Answers
The smaller numbers are a bit blurry, but I'm assuming angle 1 is the top-most angle and angle 4 is the corresponding angle to angle 1.
If so, then
angle 1 = angle 4
3x-160 = x+20
3x-x = 20+160
2x = 180
x = 180/2
x = 90 is the answer
Consider this expression.
|m^2+n^2|
m = -5 and n = 3
Answers
Answer:
34
Step-by-step explanation:
To do this you would just plug in the values into the variables so you get [tex]|-5^{2} +3^{2} |[/tex] and when you simplify you get |25+9| which when you add together you get |34| and the absolute value is just 34 since it is not negative.
If m = -5 and n = 3, then the value of the expression |m² + n²| will be 34.
What is Algebra?Algebra is the study of graphic formulas, while logic is the interpretation among those signs.
The expression is given below.
⇒ |m² + n²|
Put m = -5 and n = 3, then the value of the expression will be
⇒ |(-5)² + 3²|
⇒ |25 + 9|
⇒ |34|
⇒ 34
More about the Algebra link is given below.
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pls help!
If a and b are real numbers, then (a + b)^2 = a^2 + b^2
Provide a counterexample for the statement.
A)
a = 0 and b = 1
B)
a = 1 and b=0
C)
a = 1 and b = 2
D)
a = 0 and b = 0
Answers
Answer:
C ) a= 1 and b = 2
Step-by-step explanation:
(a + b)² = a² + 2ab + b²
It equals to
(a + b)² = a² + b²when ab = 0, in other words one of a or b or both should be zero
Looking through the answer options, only one of them:
C ) a= 1 and b = 2is the counterexample of the given statement, since none of a or be equals zero.
what is the distance between these two points? (0,0) (9,12)
Answers
Answer:
The distance between the two given points is 15 units.
Step-by-step explanation:
For this problem, we will use the distance formula.
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Now, let's plug in our coordinates.
[tex]d=\sqrt{(9-0)^2+(12-0)^2}[/tex]
Simplify the terms in the parentheses.
[tex]d=\sqrt{(9)^2+(12)^2}[/tex]
Simplify the exponents.
[tex]d=\sqrt{81 + 144}[/tex]
Add 81 to 144.
[tex]d=\sqrt{225}[/tex]
Solve the radical.
[tex]d = 15[/tex]
The distance between the two points is 15 units.
What is radical 3 divided by radical 3
Answers
Any number, except 0, divided by itself is always 1
x/x = 1 where x cannot be zero, but it can be any other number you want.
2.
Select the correct answer.
What is a unit rate?
A.
a rate with one in the numerator
B.
a rate in which the numerator and the denominator are equal
a rate with one in the denominator
D.
a rate in
the denominator is greater than the numerator
sa ghich
Reset
Next
Answers
Answer:
a unit rate is a rate with one in the denominator
how to find amount of ammonia gas in mole if the question gives
- ammonia gas is kept in a 10.0-L tank at 1 atm and 25°C
Answers
Answer:
0.409 mol
Step-by-step explanation:
Use ideal gas law:
PV = nRT
where P is absolute pressure,
V is volume,
n is number of moles,
R is universal gas constant,
and T is absolute temperature.
PV = nRT
(1 atm) (10.0 L) = n (0.0821 L·atm/mol/K) (25 + 273) K
n = 0.409 mol
Josie ate 5/8 of a pie and Marge ate 6/10 of a pie. Who ate more and therefore burped louder?
Answers
5/8 > 6/10
Hope this helps
Josie ate more and burped louder because 5/8 is greater than 6/10 and Josie ate 5/8 of the pie.
Given,
Josie ate 5/8 of a pie and Marge ate 6/10 of a pie.
We need to find who ate more and therefore burped louder.
We need to compare the given fraction and see which is greater.
We have,
Josie = 5/8 of a pie.
Marge = 6/10 of a pie.
Now,
We can compare the fraction in three ways:
Case 1. - In terms of %
5/8 x 100 = 62.5 %
6/10 x 100 = 60%
62.5 % > 60%
5/8 > 6/10
Case 2. - In terms of decimals
5/8 = 0.625
6/10 = 0.6
0.625 > 0.6
5/8 > 6/10
Case 3. -In terms of multiplying
5/8 = 6/10
5 x 10 = 6 x 8
50 = 48
50 > 48
5/8 > 6/10
5/8 is greater than 6/10 so the one who eats 5/8 of the pie ate more and burped louder.
Thus Josie ate more and burped louder.
Learn more about comparing fractions here:
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What are the like terms in the expression 8 + x squared minus 4 x cubed + 5 x + 2 x squared?
Answers
Answer:
See below.
Step-by-step explanation:
So we have the expression:
[tex]8+x^2-4x^3+5x+2x^2[/tex]
Like terms are terms in which the variables and the exponents they are in are exactly the same.
In the above expression, the only like terms are x² and 2x². Thus, we can add them:
[tex](x^2+2x^2)+8-4x^3+5x\\=3x^2+8-4x^3+5x[/tex]
Answer:
[tex]\huge\boxed{x^2 \ and \ 2x^2}[/tex]
Step-by-step explanation:
Given Expression is:
[tex]8 + x^2 -4x^3+5x+2x^2[/tex]
"Like terms" are terms whose variables and their exponents are the same.
So, In the given expression, the like terms are:
=> [tex]x^2 \ and \ 2x^2[/tex]
5/3 ÷ 6/1= Please help me this sum.
Answers
Answer: [tex]5/18[/tex]
Do Keep Change Flip (KCF)
Keep: [tex]5/3[/tex]
Change: ÷ into ×
Flip: [tex]6/1[/tex] into [tex]1/6[/tex]
Multiply
[tex]5/3*1/6=5/18[/tex]
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Hi my lil bunny!
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[tex]\boxed{\frac{5}{3} \div \frac{6}{1} = \frac{5}{18}}\\[/tex]
[tex]\frac{5}{3} \div \frac{6}{1} =[/tex]
Apply the fraction rule : [tex]\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} . \frac{c}{d}[/tex]
[tex]= \frac{5}{3} . \frac{1}{6}[/tex]
Multiply the fractions : [tex]\frac{a}{b} . \frac{c}{d} = \frac{a . c}{b . d}[/tex]
[tex]= \frac{5 . 1}{3 . 6}[/tex] ( This " . " means times ! )
Multiply the numbers : [tex]5 . 1 = 5[/tex]
[tex]= \frac{5}{3 . 6}[/tex]
Multiply the numbers : [tex]3 . 6 = 18[/tex]
[tex]= \frac{5}{18}[/tex]
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Have a great day/night!
❀*May*❀
ANSWER FOR 10 POINTS!!!!!!!!!!!!!!
Answers
As you wake up to get your day started, you decide to make muffins for breakfast. The recipe you are using makes 2 dozen muffins and calls for 3 cups of flour and 1 cup of sugar. You decide to only make 18 muffins. How many cups of flour and sugar will you need for your recipe?
Answers
Answer:
1/4 cup of flour and 1/8 cup of sugar. (i am estimating)
Step-by-step explanation:
The town of Tola has a population of 45,000 and produces 6 tons of garbage each week. Express this information in terms of the function f
Answers
Complete question:
The amount of garbage, G produced by a city with population p is given by G = f(p). G is measured in tons per week, and p is measured in thousands of people. The town of Tola has a population of 45,000 and produces 6 tons of garbage each week. Express this information in terms of the function f
Answer:
The information of town Tola can be represented in function as 6 = f(45)
Step-by-step explanation:
Given;
population of Tola, p = 45,000
amount of garbage produced in tons per week, G = 6 tons = 6,000 kg
The function is given by;
G = f(p)
where;
G is the amount of garbage produced in tons per week
p is the population of Tola
Substitute in the given values into the function
6000 = f(45,000)
6 = f(45)
Therefore, the information of town Tola can be represented in function as 6 = f(45)
Can someone please help find the answer and explain how you got it please.
Answers
Answer:
5
Step-by-step explanation:
Hello!
We put in 2 for x and 6 for y
[tex]\frac{2(6)-2}{2}[/tex]
Now we can solve this
[tex]\frac{12 - 2}{2}[/tex]
[tex]\frac{10}{2} = 5[/tex]
The answer is 5
Hope this helps!
Then if x = 2 then you put it at the bottom and there is nothing so it stays at a 2.
Lastly, you just do 10/2 which is division so the answer is 2.
HOPE THIS HELPS
Write an expression for “the quotient of y and 8”.
Answers
Answer:
[tex]\huge\boxed{\frac{y}{8} }[/tex]
Step-by-step explanation:
Quotient means to divide. So, the expression will be like:
=> [tex]\frac{y}{8}[/tex]
What is the slope of y=−4? If the slope is undefined, enter ∅ as your answer.
Answers
Answer:
Step-by-step explanation:
xxxx.com
Simplify the following expression:
2x − 6y + 3x2 + 7y − 14x
Answers
Answer:
-12x+y+3x²
Step-by-step explanation:
2x-6y+3x²+7y-14x
2x-14x+3x²-6y+7y
-12x+3x²+y
if point B is the midpoint of points A and C, find the value of x and AC. AB= 5x - 2, BC= 9x -10
Answers
Answer:
AC = 6 ÷ 7
x = 2
Step-by-step explanation:
Given that
AB = 5x - 2
BC = 9x - 10
So,
AC = AB + BC
= 5x - 2 + 9x - 10
14x -12 = 0
AC = 6 ÷ 7
As B is the mid point of point A and point C, so the value of x is determined by solving the given equations mentioned in the question
5x - 2 = 9x - 10
5x - 9x = -10 +2
-4x = -8
x = 2
Hence, the value of AC and the X is 6 ÷ 7 and 2 respectively
9^2-(1+3•5^2)
Help needed
Answers
5
EXPLANATION
PEMDAS
2. A local minimum of a function is its
options:
A) smallest value of the function over its entire domain.
B) smallest value for a given interval.
C) largest value for a given interval.
D) largest value of the function over its entire domain.
Answers
B. Smallest value for a given interval.
Hope this helps.
Answer:
B) smallest value for a given interval.
Step-by-step explanation:
What is the answer to a3•a5
Answers
Answer:
a^8
Step-by-step explanation:
[tex]a^3 \cdot a^5\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\a^3a^5=a^{3+5}\\\\=a^8[/tex]
a3 * a5 =
a * 3 * a * 5 =
a² * 15 =
15a²
What would the scatter plot show for data that produce a Pearson correlation of r = +0.88?
a. Points clustered close to a line that slopes up to the right
b. Points clustered close to a line that slopes down to the right
c. Points widely scattered around a line that slopes up to the right
d. Points widely scattered around a line that slopes down to the right
Answers
Answer:
The correct option is (a).
Step-by-step explanation:
The Pearson's correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.
Positive correlation is an association amid two variables in which both variables change in the same direction. A positive correlation occurs when one variable declines as the other variable declines, or one variable escalates while the other escalates.
Negative correlation is a relationship amid two variables in which one variable rises as the other falls, and vice versa.
In this case, it is provided that the Pearson correlation coefficient is, r = +0.88.
A correlation coefficient between ±0.70 to ±1.00 are considered as strong positive correlation.
The scatter plot for correlation coefficient between +0.70 to +1.00 shows:
A straight and upward moving trend of the pointA straight line can be formed using these points that slopes up to the rightPoints clustered close to this line that slopes up to the rightThus, the correct option is (a).
10 points
Which of the following transformations were performed to make the
black figure become the blue figure? *
O Right 1
o Left 1
Ο ΟΟΟ
o Up 1
Down 1
Answers
Answer:
Left 1
Step-by-step explanation:
Its easy
Use a t-test to test the claim about the population mean at the given level of significance using the given sample statistics. Assume the population is normally distributed. Claim: ; Sample statistics: , s, n What are the null and alternative hypotheses? Choose the correct answer below. A. H0: Ha: B. H0: Ha: C. H0: Ha: D. H0: Ha: What is the value of the standardized test statistic? The standardized test statistic is nothing. (Round to two decimal places as needed.) What is the P-value of the test statistic? P-value nothing (Round to three decimal places as needed.)
Answers
Complete question is;
Use a t-test to test the claim about the population mean μ at the given level of significance α using the given sample statistics. Assume the population is normally distributed.
Claim: μ ≥ 8300,α= 0.10
Sample statistics: ¯x = 8000, s = 440, n = 24
a. What are the null and alternative hypotheses?
b. What is the value of the standardized test statistic? (Round to 2 decimal places as needed.)
c. What is the p-value? (Round to three decimal places as needed.)
d. Decide whether to reject or fail to reject the null hypothesis.
Answer:
A) Null hypothesis:H0: μ ≥ 8300
Alternative Hypothesis:Ha:μ < 8300
B) t = -3.34
C) p-value = 0.001
D) we will reject the null hypothesis
Step-by-step explanation:
A) We are told that the claim is: μ ≥ 8300. Thus, the null hypothesis would be the claim. So;
Null hypothesis:H0: μ ≥ 8300
Also, alternative hypothesis would be;
Alternative Hypothesis:Ha:μ < 8300
B)Formula for standardized test statistic with a t-test is;
t = (¯x - μ)/√(s/n)
Plugging in the relevant values, we have;
t = (8000 - 8300)/√(440/24)
t = -3.34
C) From online p-value from t-score calculator attached using t = -3.34, n = 24, significance level = 0.01, DF = 24 - 1 = 23 and a one - tailed test, we have;
p-value = 0.001421 ≈ 0.001
D) The p-value of 0.001 is less than the significance value of 0.01,thus we will reject the null hypothesis
You are offered an investment that pays simple interest and will earn $200 interest on a $2000 investment over 5 years. What interest rate is the investment paying? A) 1.5% B) 2% C) 2.5% D) 3%
Answers
Answer:
B) 2%
Step-by-step explanation:
The simple interest formula is ...
I = Prt
Interest I is earned on principal P when it is invested at rate r for t years.
Filling in the given values, we can solve for r:
200 = 2000r(5)
200/10000 = r = 2/100 = 2%
The interest rate is 2%.
Which expression is the exponential form of
Answers
Answer:
[tex](7x)^{\frac{3}{2} }[/tex]
Was it evaluated correctly?
Explain your reasoning
Answers
Study the graph again. If the company produces twenty bats, what is the maximum number of balls it can produce?
Answers
Answer:B:(5)
Step-by-step explanation:
I just did the test
The maximum number of balls company can produce will be 5.
What is Mathematical equation ?
By definition, an equation is a mathematical statement made up of two expressions linked by an equal sign.
In other words the equation represents the graph between x and y that is for each value of x there exist one value of y here, for x = 20 baseball bats , y=5 baseball will be produce which can be seen from the given graph by drawing parallel line from the intersection point of x=20 and line AC.
Therefore, y = 5 number of baseball will be produced.
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