Answers
Answer:
Explanation:
Statement: Triangle QRT and Triangle STR are Isosceles Triangles.
Angles QRT is congruent to Angle STR.
Reason: Converse of Alternate Interior Angles
Statement: RQ=RT, TR=TS
Reason: Definition of an Isosceles Triangle
Statement: TR = RT
Reason: Reflexive Property
Statement: RQ=TS
Reason: Transitive Property
Statement: RQ||TS
Reason: Opposite sides are congruent and parallel.
Statement: QRST is a parallelogram.
Reason:
Related Questions
What is the solution to the rational inequality?
3 - x / 2x + 1 ≥ 2
( - 1/ 2 , 1 / 5)
( - ∞ ; - 1 /2)
( - 1 / 2 , 1 / 5)
( - ∞ , - 1/ 2 ) ∪ ( 1 /5 , ∞ )
Answers
The solution to the rational inequality given in this problem is as follows:
(-1/2, 1/5].
Rational inequalityThe rational inequality is defined as follows:
[tex]\frac{3 - x}{2x + 1} \geq 2[/tex]
The first step to solve the inequality is isolate 0 on the right side of the inequality, hence:
[tex]\frac{3 - x}{2x + 1} - 2 \geq 0[/tex]
Then the least common multiplied is applied to represent the left side of the inequality as a single fraction, as follows:
[tex]\frac{3 - x - 2(2x + 1)}{2x + 1}\geq 0[/tex]
[tex]\frac{3 - x - 4x - 2}{2x + 1}\geq 0[/tex]
[tex]\frac{-5x + 1}{2x + 1}\geq 0[/tex]
There are two cases for the solution to the inequality:
Case 1: numerator and denominator positive.Case 2: numerator and denominator negative.The solution is the union of the solution of each of these cases.
Case 1-5x + 1 ≥ 0
-5x ≥ -1
5x ≤ 1
x ≤ 1/5
2x + 1 > 0 (only > as the denominator cannot be zero)
2x > -1
x > -1/2
The intersection of these solutions is given by the following interval:
(-1/2, 1/5].
Case 2-5x + 1 ≤ 0
-5x ≤ -1
5x ≥ 1
x ≥ 1/5
2x + 1 < 0
2x < -1
x < -1/2.
The intersection of these two cases is empty, hence the solution to the inequality is given by the following interval:
(-1/2, 1/5].
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Hello! I need some help with this homework question, please? The question is posted in the image below. Q3
Answers
As given by the question
There are given that the function:
[tex]f(x)=x^2+3[/tex]Now,
From the given formula:
[tex]\frac{f(x+h)-f(x)}{h}[/tex]Then,
First find the equation for f(x + h)
So,
[tex]\begin{gathered} f(x)=x^2+3 \\ f(x+h)=(x+h^{})^2+3 \\ f(x+h)=x^2+h^2+2xh+3 \end{gathered}[/tex]Then,
Put both values into the given formula:
So,
[tex]\frac{f(x+h)-f(x)}{h}=\frac{x^2+h^2+2xh+3-x^2-3}{h}[/tex]Then,
[tex]\begin{gathered} \frac{f(x+h)-f(x)}{h}=\frac{h^2+2xh}{h} \\ =\frac{h(h^{}+2x)}{h} \\ =h+2x \\ =2x+h \end{gathered}[/tex]Hence, the difference quotient is 2x + h.
f(x)=ln(2x+1) inverse
Answers
Answer:
f−1(x)=ex+11−2ex
Step-by-step explanation:
Let y=f(x)=ln(x−1)−ln(2x+1). ⇒y=ln(x−12x+1). ⇒x−12x+1=ey. ⇒2xey+ey=x−1. ⇒x(1−2ey)=ey+1.
Given point Q equals negative 6 radical 3 comma negative 6 in rectangular coordinates, what are the corresponding polar coordinates?
Answers
Given the rectangular coordinates of point Q:
[tex]Q(-6\sqrt{3},-6)[/tex]You need to remember that the form from rectangular oordinates to polar coordinates is:
[tex](x,y)\rightarrow(r,\theta)[/tex]By definition:
[tex]\begin{gathered} r=\sqrt{x^2+y^2} \\ \\ \theta=tan^{-1}(\frac{y}{x}) \end{gathered}[/tex]In this case, you can identify that:
[tex]\begin{gathered} x=-6\sqrt{3} \\ y=-6 \end{gathered}[/tex]Then, you can determine that:
[tex]\begin{gathered} r=\sqrt{(-6\sqrt{3})^2+(-6)^2}=12 \\ \\ \theta=tan^{-1}(\frac{-6}{-6\sqrt{3}})=\frac{5\pi}{6} \end{gathered}[/tex]Therefore, the polar coordinates are:
[tex](12,\frac{5\pi}{6})[/tex]Hence, the answer is: Second option.
a group of six people has 10 pizzas to share if they divide the pizzas evenly how much does each person get
Answers
We will have that if they divide them evenly they will end up with:
[tex]\frac{10}{6}=\frac{5}{3}[/tex]So, each one will end up with option D.
If a 45-gal hot water tank holds 375 lb of water, what weight of water will a 55-gal tank hold? (Round to the nearest pound.)
Answers
Given:
A 45-gal hot water tank holds 375 lb of water.
[tex]\begin{gathered} 45\text{ gal }\rightarrow375\text{ lb} \\ 55\text{ gal}\rightarrow x?\text{ lb} \end{gathered}[/tex]To find the values of x,
[tex]\begin{gathered} \frac{45}{375}=\frac{55}{x} \\ 45x=55\cdot375 \\ 45x=20625 \\ x=458.33\text{ lb} \end{gathered}[/tex]Answer: The weight of water which will hold 55 gal tank is 458 lb.
Redondea 5,951 a la decena más cercana
Answers
Answer:
6
Step-by-step explanation:
5.951
porque 1 no es mas o menos que 5, no vamos arriba
5.95
porque 5 es igual o mas que 5, vamos arriba
1 mas 9, es 10
pero este diez en el .9 is basicamente 1.0
entonces se combireta a uno entero
dejando nos con
6
Question 15Please answer quickly, i don’t need much explanation and just want this to be done so I can use it as an example
Answers
SOLUTION:
Step 1:
In this question Number 15, we are given the following:
What is the solution of the following system? {6x+2y=−10 5x−5y=5
Answers
Answer below:
Step-by-step explanation:
6x+2y=-10
(-5/3,0) x-int
(0,5) y-int
slope= -3
5x-5y=5
slope= 1
(1,0) x-int
(0,-1) y-int
Kira, Justin, and Reuben have a total of $82 in their wallets. Kira has $10 more than Justin. Reuben has 2 times what Kira has. How much do they have in their wallets?
Answers
Kira have $23 in his wallet.
Justin have $13 in his wallet.
Reuben have $46 in his wallet.
Given,
There are three persons, Kira, Justin, Reuben.
The total amount in their wallet = $82
The amount in Justin's wallet = x
The amount in Kira's wallet = x + 10
The amount in Reuben's wallet = 2(x + 10)
We have to find the amount in their wallets.
Here,
x + x + 10 + 2(x + 10) = 82
2x + 10 + 2x + 20 = 82
4x + 30 = 82
4x = 82 - 30
x = 52/4 = 13
Now,
The amount in Justin's wallet = x = $13
The amount in Kira's wallet = x + 10 = 13 + 10 = $23
The amount in Reuben's wallet = 2(x + 10) = 2(13 + 10) = 2 × 23 = $46
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Write the equation of the line (in standard form) that goes through point (5,-1) and is parallel to the equation 3x + 2y = 19.
Answers
3x+2y=10 This is the equation of the new line in standard form
Calculate the equation of the line in standard form?Two parallel lines have the same slope, to compute the slope (m) of the equation 3x+2y=19. This can be obtained by converting the equation into slope-intercept form (i.e., y=mx+b, where m is the slope):
by subtracting 3x from both sides, and then simplifying:
3x+2y-3x=19-3x
2y =-3x+19
Then, let's divide both sides by 2, to obtain slope-intercept form:
y = (-3/2)x+(/2) From this, we know that the slope (m) is -3/2
To determine the equation of the line we're being asked to solve for. If we know the slope (in this case m=-3/2) along with any given point on the line ((x0,y0); in this case (4,1)), the equation of the line can be determined as y-y0=m(x-x0)
So substituting, the equation of the line is y-1=(-3/2)(x-5)
We now need to put this into standard form, with both x and y terms on the left side of the equation:
First, distribute the 3/2 on the right side: y-1=(-3/2)x+(3/2)5 or y-1
= (-3/2)x+6
Next, add (3/2)x to both sides, add 1 to both sides, and simplify:
(3/2) x + y = 5
multiply both sides by 2, to eliminate the fraction (3/2): 3x+2y = 10 This is the equation of the new line in standard form
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why do trees have wood (fre3 po1nts
Answers
Answer: The tree takes the Carbon dioxide from the air and converts it to wood.
What property is used to solve 9x + 5 = 21 and 9x + 5 -5 = 21 - 5
Answers
Problem
What property is used to solve 9x + 5 = 21 and 9x + 5 -5 = 21 - 5
Solution
9x +5 =21
If we subtract 5 in both sides we got:
9x +5-5 =21-5
Subtraction property of equality
f(a)=-3a-5; Find ƒ(-7)
Answers
Step-by-step explanation:
the answer is attached
hope it helps
Given that P(B AND A)=0.07 and P(B|A)=0.20, what is P(A)?
Answers
Answer: P A is paranthathesis add
Step-by-step explanation: so frist u do ( + ( = ((
then ((-)))=-)
If you travel southeast from one city to another city that is 314 km away, and the trip takes you 4.00 hours, what is your average velocity?
Answers
Answer:
78.5
Step-by-step explanation:
i just know
f(x) = 2^3x-1 - 2find the inverse function of f(x)
Answers
Given the function
[tex]f(x)=2^{3-x}-2[/tex]Substitute y = f(x) into the function above
[tex]y=2^{3-x}-2[/tex]Make 'x' the subject of the formula
[tex]y+2=2^{3-x}[/tex]Take the log₂ of both sides
[tex]\begin{gathered} \log _2(y+2)=\log _22^{(3-x)} \\ \log _2(y+2)=3-x\log _22 \\ \end{gathered}[/tex]Note:
[tex]\log _22=1[/tex]Therefore,
[tex]\begin{gathered} \log _2(y+2)=(3-x)\times1 \\ \log _2(y+2)=3-x \end{gathered}[/tex]Isolating 'x'
[tex]x=3-\log _2(y+2)[/tex]Replace 'x' with 'y'
[tex]y=3-\log _2(x+2)[/tex]Hence,
[tex]f^{-1}(x)=3-\log _2(x+2)[/tex]The correct option is Option 2.
You were using a ladder at your construction job. You started off at ground level and climbed down 10 feet to see the basement. Then you climbed up 20 feet to see the second floor. Finally, you climbed down 9 feet. What is your height relative to ground level?
Answers
Answer:
1 foot above the ground, positive 1
Step-by-step explanation:
you start at ground level let's call that 0
you go 10 down 0-10=-10
Now you climb up 20 feet so -10+20=10
Then you finally climb down 9 feet and 10-9=1
So you are one foot above the ground.
What is the value of sin^-1(0)
a= -1
b= 0
c = 1
d = pi
Answers
Answer:
B: 0
Step-by-step explanation:
At the unit circle, we can see that sin(x) = 0 for x = 0 and for x = pi
This gives us directly that sin^-1(0) = 0 or x = pi
However, the function sin^-1(x) is only defined for -pi/2 \leq 0 \geq pi/2, since otherwise it is very unclear which answer is the right one.
By this definition, we directly see that the only right aswer is 0
If Z is a standard normal variable, find P(-1.2 < Z < 0.4). Round your answer to 3 decimal places.
Answers
If Z is a standard normal variable, The value of P(-1.2 < Z < 0.4) is
0.5403
This is further explained below.
What is a standard normal variable?Generally, A random variable with a normal distribution and mean equal to zero and standard deviation equal to one is referred to as a standard normal random variable. The letter Z will never be used to represent it in any context.
Given that, we have to find, P(-1.2<z<0.4)
P(-1.2<z<0.4) =P(z<0.4)-P(z<-1.2)
Using, the z-distribution table determine the values
=0.6554-0.1151
=0.5403
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Marian purchased a home valued at $465,000. She purchased homeowner insurance for 75% of the value of the home. If the annual premium on the policy was $0.74 perhundred-dollar unit, how much did she pay to the nearest whole cent)?$2,875.50$2,695.00$2,580.75$3,050.74None of these choices are correct.
Answers
The value of the police if fot the 75% of the total value of the home value. The 75% of $465000 is:
[tex]465000\cdot0.75=348750[/tex]The value of the insurance is then for $348750. The annual premium of the policy is $0.74 per hunder-dollar unit. Then, we need to estimate the hundred-dollar units in $348750. To estimate them, we need to divide the value by 100:
[tex]\frac{348750}{100}=3487.5[/tex]The value of the policy is then by 3487.5 hundreds of dollars. Now, we can estimate the amount to be paid yearly:
[tex]0.74\cdot3487.5=2580.75[/tex]Then, the amount to pay, according to the given conditions is $2580.75. Correct answer is the third option.
You order seventeen burritos to go from a Mexican restaurant, eight with hot peppers and nine without. However, the restaurant forgot to label them. If you pick three burritos at random, find the probability of the given event.
Answers
The probability of at most two hot peppers = 0.918
Total number of burritos ordered = 17
Number of burritos with hot peppers = 8
Number of burritos without hot pepper = 9
Number of burritos picked = 3
We need to find the probability of the event that at most two have hot peppers.
At most two have hot peppers means either there is one with hot pepper or there are two with hot pepper. So there should not be 3 burritos all with hot peppers.
Thus we can rewrite the probability that at most 2 out of 3 burritos are with hot peppers as, Total probability - the probability that all 3 burritos are with hot peppers.
So the probability that all three burritos are with hot peppers = P(3 with hot peppers) = (8C3x9C0)/17C3
= 56 x 1/680
= 0.082
Then the probability that at most two burritos out of three are with hot peppers = 1 - P(3 with hot peppers)
= 1 - 0.082
= 0.918
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EFG and GFH are a linear pair, mEFG = 2n +17, and mGFH = 4n +31. What are mEFG and mGFH?
Answers
mEFG and mGFH is 61 and 119 respectively.
What is linear pair of angle?
Linear pair of angle are formed when two lines intersect each other at a single point and sum of angles of linear pair is always 180.
given, mEFG = 2n+17 and mGFH = 4n+31 and they both are linear.
Hence,
mEFG+mGFH = 180
2n+17+4n+31 = 180
6n+48=180
6n = 132
n = 22
hence, mEFG = 2(22)+17= 61 and mGFH = 4(22)+31 = 119
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Good morning I could really use some help with this question please!!
Answers
Given:
center of the circle = (3, -2)
radius = 4
To find:
the standard form of the equation of a circle
The standard form of the equation of circle is given as:
[tex]\begin{gathered} (x\text{ - h\rparen}^2\text{ + \lparen y - k\rparen}^2\text{ = r}^2 \\ center\text{ = \lparen h, k\rparen} \end{gathered}[/tex][tex]\begin{gathered} h\text{ = 3, k = -2, r = 4} \\ \\ substitute\text{ the values into the formula:} \\ (x\text{ - 3\rparen}^2\text{ + \lparen y - \lparen-2\rparen\rparen}^2\text{ = 4}^2 \\ (x\text{ - 3\rparen}^2\text{ + \lparen y + 2\rparen}^2\text{ = 16} \end{gathered}[/tex]The equationof the circle in standard form:
[tex](x\text{ - 3\rparen}^2\text{ + \lparen y + 2\rparen}^2\text{ = 16 \lparen option B\rparen}[/tex]During a sale, a store offered a 15% discount on a stereo system that originally sold for $400. After the sale the discount price of the stereo system was marked up by 15%. To the nearest whole number, what percent of the original price was the price after mark up
Answers
Problem Statement
We are told a store offers 15% discount on the sale of a stereo originally costing $400. After the sale, the new price is marked up by 15%.
We are asked to find what percentage of the original price is the new marked up price.
Method
T
Suppose y varies directly with x.When x is 7,y is 21 Write the equation that relates x and y
Answers
Given that y varies directly with x, we have:
[tex]\begin{gathered} y\propto x \\ \Rightarrow y=kx \end{gathered}[/tex]Where k is constant.
When x = 7, y = 21. From here, we can obtain the value of k
21 = 7k
k = 21/7 = 3
Since k = 3, the equation that relates x and y is:
[tex]y=3x[/tex]Which equation represents a line that is perpendicular to the line passing through (-4,7) and (1,3)?A. y =x + 8B.y =-x + 6C.y =x - 3D. y = -x - 2
Answers
If two lines of slopes m1 and m2 are perpendicular, then:
[tex]m_1\cdot m_2=-1[/tex]The slope of a line passing through points (x1, y1) and (x2, y2) is:
[tex]\begin{equation*} m=\frac{y_2-y_1}{x_2-x_1} \end{equation*}[/tex]We are given the points of the first line (-4, 7) and (1, 3). Calculate the slope
[tex]m_1=\frac{3-7}{1+4}=-\frac{4}{5}[/tex]The slope of the perpendicular line is:
[tex]m_2=-\frac{1}{m_1}=-\frac{1}{-\frac{4}{5}}=\frac{5}{4}[/tex]The equation of the perpendicular line has the form:
[tex]y=\frac{5}{4}x+b[/tex]None of the options has the correct answer.
adult female Labrador Retrievers weigh an average of 65 lbs with a standard deviation of 4 lb adult female German Shepherds weigh an average of 62 pounds with a standard deviation of 3 lbs one sets teacher owns and underweight lab in an underweight German Shepherd the lab weighs 58 pounds and the German Shepherd weighs 59 pounds what is the Z score for the lab.
Answers
Labrador Retrievers weigh an average of 65 lbs with a standard deviation of 4 lb
German Shepherds weigh an average of 62 pounds with a standard deviation of 3 lbs
An item is regularly priced at $43. It is on sale for 15% off the regular price.Use the ALEKS calculator to find the sale price.
Answers
$36.55
Explanations:
Given the following parameters
Regular price of a ticket = $43
Sales discount = 15%
Determine the discounted price
Discount price = 0.15 * 43
Discount price = $6.45
Determine the sales price
Sales price = Regular price - discount
Sales price = $43 - $6.45
Sales price = $36.55
Hence the sales price for the item will be $36.55
Martin charges $10 for every 5 bags of leaves
Answers
Answer: each bag is 2$
Step-by-step explanation: 2+2= 4 4+2 = 6 6+2=8 8+2= 10
If Martin charges $10 for every 5 bags of leaves, then we divide the total price by the number of bags, then
Price $10 ➗ 5 bags = $2 each bag of leaves.Answer: In total, each bag of leaves counts $2✅ .