To prove that Triangles PQR and TSR are similar triangles, the following are the complete two-column proof stating the statements with their reasons:
S1: QR is perpendicular to PT
R1: Given
S2: <QRP and <SRT are right angles
R2: Definition of perpendicular
S3: <QPR = <STR
R3: Given
S4: <QRP = <SRT
R4: All right angles are congruent
S5: Triangle PQR is similar to triangle TSR
R5: AA Similarity Theorem
What is the AA Similarity Theorem?According to AA Similarity Theorem, if two triangles have two pairs of congruent angles, then both triangles are similar to each other.Therefore, to prove that Triangles PQR and TSR are similar triangles, the following are the complete two-column proof statimg the statements with their reasons:
S1: QR is perpendicular to PT
R1: Given
S2: <QRP and <SRT are right angles
R2: Definition of perpendicular
S3: <QPR = <STR
R3: Given
S4: <QRP = <SRT
R4: All right angles are congruent
S5: Triangle PQR is similar to triangle TSR
R5: AA Similarity Theorem
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Answer:
Step-by-step explanation:
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Given the graph of y = f(x), shown as a red dashed curve, drag the movable blue point to obtain the graph of
y = f(x - 4) + 3.
Answer:
The blue point will be at (4, 3)
Step-by-step explanation:
Numbers inside the parenthases only affect x, but are revered. If it is -4, move right 4. lf it is 4, move left 4.
Numbers after the patentheses affect the movement of y. When the point is at (4, 0), move up 3.
GPAs at CCSU are normally distributed with a mean of 2.38 and a standard deviation of 0.45. Find the z-score for a GPA of 3.06. and discuss the significance of the z-score.
Step-by-step explanation:
Z-score = (score-mean)/standard deviation
= (3.06-2.38)/0.45
= +1.51
The significance of z-score will be "1.5111".
Given values are:
Mean,
[tex]\mu = 2.38[/tex]
Standard deviation,
[tex]\sigma = 0.45[/tex]
GPA,
[tex]\bar x = 3.06[/tex]
Now,
→ The z-score will be:
= [tex]\frac{\bar x - \mu}{\sigma}[/tex]
By putting the given values, we get
= [tex]\frac{3.06-2.38}{0.45}[/tex]
= [tex]\frac{0.68}{0.45}[/tex]
= [tex]1.5111[/tex]
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Draw a vector representing the course of a ship that goes 50 miles on a
course with direction 2400.
Answer:
The answer is below
Step-by-step explanation:
We have a vector with a magnitude of 50 miles and a direction of 240 °.
To draw it, the first thing is to make a Cartesian plane, the first thing is to know in which quadrant it would be, 240 ° is in the third quadrant (180 ° - 270 °), that is, it would be 30 ° (270 ° - 240 °) with respect to to the y axis negative.
Knowing this angle, we calculate the value of x and y, knowing that the magnitude of the vector is 50 miles, that is, this value would be the hypotenuse.
The value on the x-axis can be calculated using the sine of the angle, like this:
sin 30 ° = x / 50
x = sin 30 ° * 50
x = 25, how is the third quadrant would be -25
Now to calculate the value on the y-axis it would be by means of Pythagoras and it would be:
y ^ 2 = 50 ^ 2 - 25 ^ 2
y ^ 2 = 1875
y = 43.3, -43.3 because it must be located in the fourth quadrant
Which means that to draw the vector that we are asked to do, we must draw a point from origin (0,0) to (-25, -43.3).
Then I leave a sketch of what it would be:
18
20
86
94
It’s eighth grade math
Answer:
x = 18
Step-by-step explanation:
We can use Alternate Exterior Angles Theorem to find the angle above x. It would equal 94°. We then use Supplementary Angles to find x:
5x - 4 + 94 = 180
5x + 90 = 180
5x = 90
x = 18
Answer:
I am in 6th, doing 7th grade math, but can get up to 12th grade math lol.
x = 18
Step-by-step explanation:
First step: 5x - 4 + 94 = 180
Second step: 5x + 90 = 180
Last step: 5x = 90
So, therefore, your correct answer is: x = 18
Please help solve i give brainliest
Answer:
(0,3)
Step-by-step explanation:
y = 2x+3
y = -3x+3
Since both equations are equal to y, set them equal to each other
2x+3 = -3x+3
Subtract 3 from each side
2x = -3x
Add 3x to each sdie
2x+3x = -3x+3x
5x =0
Divide by 5
x=0
Now solve for y
y =2x+3
y = 0+3
y=3
(0,3)
Answer:
(0,3)
Step-by-step explanation:
y = 2x+3
y = -3x+3
2x+3 = -3x+3
2x = -3x
2x+3x = -3x+3x
5x =0
x=0
The solve for y
y =2x+3
y = 0+3
y=3
(x,y)=(0,3)
Then (0,3) will be your answer!
Hope this help!
A company wants to administer a satisfaction survey to its current customers. Using their customer database, the company randomly selects 100 customers and asks them about their level of satisfaction with the company.what type of sampling method is use
Answer:
The type of sampling method used is:
Simple random sampling.Step-by-step explanation:
A simple random sampling is a method where the pollster, in this case, the company, from a finite or infinite population (the costumers in the database) takes a representative sampling (in this case 100 costumers) to apply the survey and obtain data that can be used to deduce the way of thinking of all the costumers, though to actually identify this way of thinking, the sampling must be proportional to the size of the population, on the contrary, the data obtained won't be useful to reveal the real level of the satisfaction (In this case securely the database is 10,000 costumers or less, then the sampling is at least the 1% of the population). Another characteristic is all the people in the population should have the same opportunity to be part of the sampling, this is identified in the paragraph where says that the selection was random.
Answer:
B. simple random sampling
Step-by-step explanation:
right on edge
HELP A GIRLL OUT I GAVE YOU ALL MY POINTS!! HELPP! 1. a. What is James’s new texting speed if he practices for only 1 month? __________ b. What is James’s new texting speed if he practices for 2 months? ____________ c. What is his new texting speed if he practices for 3 months? _____________ 2. Write an algebraic equation that gives James’s texting speed s for m months of practice. 3. solve the equation from question 2 to determine how many months of practice it will take before james texting speed reaches 8 characters per second. Lynda would also like to complete in the same speed texting completion as james she currently texts at the rate of 4 characters per second but will only have 10 months to practice before the completion. 4. if Lynda wants to text at least 8 characters per second like james then the equation 10r+4=8 could be used to model this situation. Solve for r. 5. Explain what the variable r represents in the equation given in question 4. 6. Consider the equation 8x+5=37 write a real life scenario that this equation could model.
Answer:
1. a. His new texting speed after one month is 2 + 1/2 = 2.5 characters per second.
b. After two months it will be 2 + (1/2) * 2 = 3 characters / second.
c. Answer is 2 + 1/2 * 3 = 3.5 characters/second/.
2. The answer is s = 1/2m + 2
3. To solve for m we write 8 = 1/2m + 2 → 6 = 1/2m → m = 12 months.
4. 10r + 4 = 8 → 10r = 4 → r = 0.4
5. The variable r represents the rate she must increase her texting speed by per month.
6. A scenario could be "Allison has 37 marbles in a jar. She took out 5 from the jar and wants to divide the remaining amount equally among her 8 friends. How many marbles does each friend get?".
Ryan had $80. He spent $32 on a book. what percentage of his money did he spend on the book? What percentage of his money did he have left?
Answer:
40% spent. 60% left.
Step-by-step explanation:
To find the percentage spent, divide the two values, then multiply by 100.
$32 / $80 = 0.40 0.40 x 100 = 40% spent.
To find the percentage of money left, subtract the two values.
$80 -$32 = $48
Then, divide the two values and multiply by 100.
$48 / $80 = 0.60 0.60 x 100 = 60% left.
if straykids hyunjin had 50,000 won and wanted to by lots of 45rings for 500 won how much will he have left? b) if changbin and han had 145 lightsicks and sold 75? how much lighsticks will they have now?
Answer:
a) he would have 27500 won
b) changbin and han would have 70 lightsticks
Step-by-step explanation:
a)
multiply 45 rings by 500 won to get the total expense
45 x 500 = 22500
then subtract 22500 won from 50000 to get the amount left after the purchase
50000 - 22500 = 27500
this results in 27500 won total
b)
subtract 75 from 145 to get the amount left
145 - 75 = 70
Answer:
Hyunjin has 27,500 left.
Changbin & Han have 70 lightsticks left.
Step-by-step explanation:
A) 45 × 500 = 22500 50,000 - 22500 = 27500
B) 145 - 75 = 70
the volumes of two similar solids are 729m^3 and 125m^3. the surface area of the larger solid is 324m^2. what is the surface area of the smaller solid? A. 56m^2 B. 100m^2 C. 500m^2 D. 200m^2
Answer:
B. Is the Answer 100 m²
Step-by-step explanation:
The ratio of the two solid is 729/125
The ratio of the surface area = (729/125)^(2/3)=81/25
Surface area = 25 * 324 / 81 = 100 m²
I need help with number 12
Answer:
C.
Step-by-step explanation:
add up all of the angles correct ft im not sure but i think its C.
2. Points A, B and C are all on the
circumference of the circle.o
represents the centre.
DA and DB are tangents to the
circle. Angle BDO = 31
Work out the size of angle.
Question
Points A, B and C are all on the
circumference of the circle. O represents the centre. DA and DB are tangents to the circle. Angle BDO = 31°
Work out the size of angle x
Answer:
62°
Step-by-step explanation:
To solve for the above question, we would be using circle theorems.
Step 1
Angle OBD = 90° This is because a radius and a tangent meet at 90°
Step 2
The sum of Angles in a triangle = 180°
180° = Angle OBD + Angle BDO + Angle BOD
180° = 90° + 31° + Angle BOD
Angle BOD = 180° - (90° + 31°)
= 180° - 121°
Angle BOD = 59°
Step 3
Angle BOD = Angle AOD because they are congruent ,therefore, Angle AOD = 59°
Step 4
The sum of angles of a straight line = 180°
Angle BOD, Angle AOD and Angle x are angles on a straight line
Hence,
180° = Angle BOD + Angle AOD + Angle x
180° = 59° + 59° + x
x = 180° - ( 59 + 59)°
x = 180° - 118°
x = 62°
Therefore Angle x = 62°
Plzzz help 11/10(-2x-1)-16
Answer:
[tex] - \frac{11}{5} x - \frac{171}{10} [/tex]Solution,
[tex] \frac{11}{10} ( - 2x - 1) - 16 \\ = \frac{11}{10} \times ( - 2x) - \frac{11}{10} \times 1 - 16 \\ = - \frac{22}{10} x - \frac{11}{10} - 16 \\ = - \frac{22}{10} x - \frac{171}{10} \\ = - \frac{11}{5} x - \frac{171}{10} [/tex]
Hope this helps...
Good luck on your assignment..
Answer:
-11/5x+-171/10
Step-by-step explanation: I believe its this answer unless you want it graphed
Find the missing length indicated.
Answer:
Step-by-step explanation:
x=✓25*9
x=✓5^2*3^2
x=5*3
x=15
Find the area of the triangle. ANSWERS: A) 84 m2 B) 66 m2 C) 42 m2 D) 132 m2
Answer:
C
Step-by-step explanation:
........
Answer:
42
Step-by-step explanation:
Area= 1/2(bh)
Area=1/2(12)(7)
Area=1/2)(84)
Area=42
I need help !!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
This is just comparing what is bigger, I don't see what's so hard about it.
Step-by-step explanation:
1. >
2.>
3.>
4.>
5.<
6.<
7.>
8.<
b.
1.>
2.<
3.>
4.<
5.>
6.>
7.>
8.>
Determine the surface area of a sphere with a diameter of 16 cm. Question 4 options: A) 804.2 cm2 B) 1,024 cm2 C) 201.0 cm2 D) 3,216.9 cm2
Answer:
The answer is option A.
804.2cm²Step-by-step explanation:
Surface area of a sphere is 4πr²
where r is the radius
radius = diameter / 2
radius = 16/2 = 8cm
Surface area of the sphere is
4π (8)²
= 4(64)π
= 256π
= 804.2cm²
Hope this helps you.
*PLEASE ANSWER* (: Find the measure of angle A.
Answer:
B. 120°
Step-by-step explanation:
If two tangents intersect in the exterior of a circle, then the measure of the angle formed is one half the difference of the measures of the intercepted arcs.
m∠A° = 1/2(300 - 60)
m∠A° = 1/2(240)
m∠A° = 120
Please help me out I need it done ASAP
Answer:
B. 141 ft.
Step-by-step explanation:
Just saw this.
Which expressions are equivalent to the one below? Check all that apply.
4^3•4x
The expression [tex]4^{3} *4^{x}[/tex] is equivalent to [tex]4^{x+3} , 64*4^{x}[/tex].
What is an expression?An expression is a combination of symbols and it does not convey full meaning of anything.
How to make equivalent expressions?We have been given the expression 4^{3} *4^{x} and we have to find the equivalent equations.
If we see that both bases are equal so we will add the power with only one base from which 4^{x+3} .
If we see that 4 has a power of 3 so we will open it and it becomes 4*4*4*[tex]4^{x}[/tex]
Hence the equivalent expressions are 4^{x+3} , 64*4^{x}.
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A gambler loses $100 Saturday night and wins $65 on Sunday. What is the gambler’s total loss or gain? Express your answer as an integer.
Answer:
-35 dollar net loss
Step-by-step explanation:
Since the gambler won $65 but still lost $100, we can see that we would still have a negative net loss.
Need Help Please I'm Out Of Time ;(
Which of the following questions are statistical questions? Select all that apply
How far does Mary live from school?
How many students were absent from Mrs. Jenssen's class today?
How tall are the sixth-grade students in your school?
How many pull-ups can each student in your class do?
What was the temperature at 4 p.m. each day this week?
Answer:
last three questions are statistical question
Answer:
The last three questions
Step-by-step explanation:
The sum of two numbers is 88; one number is 12 less than the other. What is the larger number? 1. Cut the _______ number in half. Write both halves on your paper. 2. Cut the ______________in half. 3. Now ADD half and SUBTRACT half from each side.
Answer:
50
Step-by-step explanation:
I have set up an equation, where 'x' is the larger number:
x + (x - 12) = 88
Solve for 'x':
x + (x - 12) = 88
x + x - 12 = 88
2x - 12 = 88
2x -12 + 12 = 88 + 12
2x = 100
2x/2 = 100/2
x = 50
The larger number should be 50.
Answer:50
Step-by-step explanation:
10) Spike drives for 50 miles at 60mph. He slows down and travels
another 50 miles at 40mph. For the final part of the 120 mile journey,
he speeds up to 80mph. How long does he take altogether? What is
his average speed (to the nearest mph)?
Answer:
2 1/3 hours or 2 hours 20 minutes.
51.4 mph to 1 decimal place.
Step-by-step explanation:
Time = distance speed
First 50 miles time taken = 50 / 60 = 5/6 hours
Second 50 miles - time = 50/40 = 5/4 hours.
Final 20 miles - time taken = 20 / 80 = 1/4 hours.
Total time taken = 5/6 + 5/4 + 1/4
= 5/6 + 6/4
= 10/12 + 18/12
= 28/12
= 7/3 or 2 1/3 hours or 2 hours 20 minutes.
Average speed = total distance / total time
= 120 / 7/3
= 120 * 3/7
= 51.4 mph to 1 decimal place.
Which of the following is not a condition that must be met before you can use
the quadratic formula to find the solutions of an equation?
Answer:
D. The coefficient of the x^2-term must be positive.
Step-by-step explanation:
A. The coefficient of the x2-term can't be zero.
B. There can be no term whose degree is higher than 2.
C. One side of the equation must be zero.
D. The coefficient of the x2-term must be positive.
Quadratic equation is given as:
y=ax^2+bx+c
To use the quadratic formula,we have
ax^2+by+c=0
Coefficient of x^2 can not be equal to 0, that is a can not be equal to 0
There can be no term whose degree is higher than 2. The highest degree in a quadratic equation is 2
One side of the equation must be 0, that is ax^2+by+c=0
Coefficient of x^2 must be positive. The coefficient of x^2 can either be positive or negative. That is, it can either be a or -a
PLEASEEEE HELPP !!In each figure, a//b . Determine whether the third figure is a translation image of the first figure. Write yes or no. Explain your answer.
Answer:
No it’s not a translation
Step-by-step explanation:
No it’s not a translation because a translation is when you are just moving a shape not resizing or rotating the shape.
Edward has a pile of marbles. If he counts by 3, there are 2 left. If he counts by 4, there are 3 left. If he counts by 5, there are 4 left. Let be the total number of marbles. If is between 170 and 190, what is the product of all digits of ?
Answer:this is stupid
Step-by-step explanation:who the hell does that
Help will mark brainliest!
Answer:
2 : 3Step-by-step explanation:
Total number of cards = 48
Red cards/black cards = 1/1
(so, 24 each of read and black cards)
8 red cards are removed.
Now, there will be (24-8) number of cards left in the pack which equals to 16 cards.
So, now the number of red cards in the pack= 16
Number of black cards = 24
Ratio of red card/ black card
[tex] = \frac{16}{24} [/tex]
[tex] = \frac{2}{3} [/tex]
= 2 : 3Hope this helps...
Good luck on your assignment...
You would like to have $4000 in 3 years for a special vacation following graduation by making deposits at the end of every six months in an annuity that pays 4.5% compounded semiannually. a. Use one of the formulas below to determine how much you should deposit at the end of every six months.
Answer:
666.70 at the end of every six months.
Step-by-step explanation:
At the end of every six months deposit amount is 666.70
What is compound interest ?Compound interest is the interest paid on both principal and interest, compounded at regular intervals.
Formula of compound interest :
[tex]A = P(1+\frac{r}{100} )^{n}[/tex]
where,
A = final amount
P = initial principal
n = time in years
r = rate per annum
According to the question
Final Amount needed for a special vacation (A) = $4000
Time in years needed to collect Amount (n) = 3 years
Rate per compounded semiannually (r) = 4.5%
Substituting values in formula for six months
Now time (n) = 3 * 6 = 18 years
using formula of compound interest
[tex]A = P(1+\frac{r}{100} )^{n}[/tex]
[tex]4000 = P(1+\frac{4.5}{100} )^{18}[/tex]
[tex]4000 = P(1.045 )^{18}[/tex]
now,
P = 666.70
Hence, at the end of every six months deposit amount is 666.70
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Graph: f(x) = 22-1
Step 1: Find the value of x that makes the exponent zero
by solving this equation: x-1 = 0
Answer:
Step-by-step explanation:
To graph an exponential function f(x) = [tex]2^{x-1}[/tex],
Step - 1 :
Find the value of x that makes the exponent 0.
x - 1 = 0
x = 1
f(1) = 2⁰ = 1
Similarly, for other input values (x- values),
For x = 2,
f(2) = [tex]2^{2-1}[/tex]
= 2¹
= 2
For x = 3
f(3) = [tex]2^{3-1}[/tex]
= 2²
= 4
For x = 4
f(4) = [tex]2^{4-1}[/tex]
= 2³
= 8
Therefore, table for input - output values will be,
x 1 2 3 4
f(x) 1 2 4 8
Answer:
:>
Step-by-step explanation: