Answers
Answer:
1. BC = 24
Perimeter of ABCD = 96
3. PT = 9
ST = 7
Step-by-step explanation:
Question 1
All the side lengths of a rhombus are equal.
Therefore, BC = AB = 24
So the perimeter of ABCD = 24 × 4 = 96
Question 3
The diagonals of a rhombus bisect each other at right angles.
Bisect means to divide into two equal parts.
Therefore, PT = TR so PT = PR ÷ 2
As PR = 18 then PT = 18 ÷ 2 = 9
QT = ST so ST = QS ÷ 2
As QS = 14 then ST = 14 ÷ 2 = 7
Related Questions
Laura wants 3 scoops of ice cream. She can choose from vanilla, chocolate, mint, raspberry, blueberry, and coffee flavors. How many combinations of 3 scoops of ice cream can Laura choosefrom?
Answers
Explanation:
Key word included in the specified question is ‘combinations’. From this, we can eliminate the usage of permutation and probability formula(s).
Let’s start:
Combination formula = nCr = n! / r! • (n-r)!
n = total # of choices
r = selected # from total choices
vanilla + chocolate + mint + raspberry + blueberry + coffee flavor
= 6 total flavors (choices)
^^ n = 6
laura wants 3 from the total # of ice cream flavors
r = 3
nCr can be substituted now that we have found ‘r’ and ‘n’
n = 6
r = 3
nCr = 6C3
= 6! / 3! • (6-3)!
= 6! / 3! • 3!
= 6•5•4•3! / 3•2•1 • 3!
(eliminate 3! from top & bottom denominator)
= 6•5•4 / 3•2•1
= 120 / 6
= 20
3+ х = х2 + 3x
rewrite by completing the square
Answers
Answer:
Step-by-step explanation:
Completing square:
3 + x = x² + 3x
x² + 3x = x + 3
Step 1: Subtract 'x' from both sides
x² + 3x - x = 3
x² + 2x = 3
Step 2: Divide the coefficeint of x by 2 and square the result
2 ÷ 2 = 1
1² = 1
Step 3: Now add 1 to both the sides
x² + 2x + 1 = 3 + 1
x² + 2x + 1 = 4
The LHS of the equation is in the form a² + 2ab + b² = (a +b)²
(x + 1)² = 2²
Take square root,
x + 1 = ± 2
x + 1 = 2 ;x + 1 = -2
x = 2 - 1 ; x = - 2-1
x = 1 ; x = -3
Solution: x = 1,-3
I need help please, You survey a random sample of 75 students at DPMS. Of those students, 30 said their favorite type of music is rap. Out of 1600 students at DPMS, predict the number of students whose favorite type of music is rap.
Answers
The predicted number of students is an illustration of ratios
Of the 1600 students, 640 are expected to have a rap as their favorite type of music
How to predict the number of students?The given parameter can be represented using the following ratio:
Ratio = Rap : Total Students
So, we have:
30 : 75 = Rap : 1600
Express as fraction
30/75 = Rap/1600
Multiply both sides by 1600
Rap = 640
Hence, 640 of the 1600 students are expected to have a rap as their favorite type of music
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Which image below is an equilateral triangle?
Triangle A
Triangle B
Triangle C
Triangle D
Answers
Answer:
A
Step-by-step explanation:
The definition of an equilateral triangle is one that has equal angles and equal sides. Of all of the pictures, Triangle A is the only one to have equal length sides.
what is equivalent to x - 7 = 10
Answers
Answer:
17-7=10
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
17-7=10
My geometry teacher doesn't really teach so I need help!
A.) g(x)=x^2 -3; find g(3)
How do I solve this? I think I'm mostly confused on what I'm supposed to do with the (x).
Answers
Answer:
g(3) = 6
Step-by-step explanation:
The right side of the equation is the part with all the information for the doing of the math.
x^2 - 3 means square the number and then subtract 3.
On the left side of the equation is the g(x). g(x) or f(x) or k(x) is literally just y. Someone could ask what is f(x)? It is y.
What is g(x)? It is y.
What is g? It is the name of the function. So instead of saying ..."the thing where you square a number and then subtract 3..." you can just say "g". Now the (x) beside g DOESNOT mean times, bc sometimes parenthesis means times. THIS IS NOT TIMES!
The (x) is like a billboard. Tells you who will be starring as x in the work on the right side of the equation.
If you see g(x)=x^2-3
then whatever is in the ( ) on the left, put that in the place of x on the right.
g() = ^2 - 3
g(12) = 12^2 - 3
g(-7) = (-7)^2 - 3
or like your question
g(3) = 3^2 - 3
do the calculation
g(3) = 9 - 3
g(3) = 6
done! Hope this helps!
The sets of numbers 3, 4, 5 and 8, 15, 17 are Pythagorean triples. Use what you know about the Pythagorean Theorem and explain or show why they are Pythagorean triples. Be sure to show your work for each set of triples! (5 points)
Answers
For the numbers 3, 4 and 5, let 5 be the length of the hypotenuse (AC, of triangle ABC in which B is a right angle), and 4 and 3 be the lengths of the other 2 sides of the triangle (AB and AC).
According to the Pythagorean theorem,
=
25 = 9 + 16
25 = 25
Since 3, 4 and 5 satisfy the criteria, they are Pythagorean triples.
Similarly, for the numbers 8, 15 and 17, let 17 be the length of the hypotenuse (PR, of triangle PQR in which Q is a right angle), and 4 and 3 be the lengths of the other 2 sides of the triangle (PQ and QR).
289 = 225 + 64
289 = 289
Since 8, 15 and 17 satisfy the criteria, they are also Pythagorean triples.
The 2 in the hundreds place is _______ times greater than the value of the 2 in the tenths place.
Answers
Answer:
10 times
Step-by-step explanation:
20= tenths place
200=hundredths place
20 x 10= 200
What is the difference between a positive and negative correlation???
SHORT ANSWER
Answers
Answer:
For example, when two stocks move in the same direction, the correlation coefficient is positive. Conversely, when two stocks move in opposite directions, the correlation coefficient is negative. -- Credit Investopedia
Step-by-step explanation:
For a research study, 64 marmots were tagged and set free. Later, the researchers
returned to the site and found 36 tagged marmots out of the 900 marmots they counted. To
the nearest whole number, what is the best estimate for the marmot population?
Answers
Answer:
1067
Step-by-step explanation:
[tex] \frac{36}{64} = \frac{600}{ m} [/tex]
m=total amount of marmots
cross multiplication-
36×M = 64×600
[tex] \frac{64 \times 600}{36} [/tex]
=1066.666667
=1067 marmots
Which of the following is a composite number?
13
15
17
23
Answers
Answer:
15
Step-by-step explanation:
15= 3*5, so not prime
Determine a series of transformations that would map polygon ABCDE onto polygon A'B'C'D'E'?
Answers
Answer:
Dilate by a scale factor of 0.5 with the origin as the center of dilation.
Rotate 90° clockwise about the origin
Step-by-step explanation:
Polygon ABCD:
A = (-2, 4)B = (-8, 2)C = (-4, 8)D = (-2, 6)Dilate by a scale factor of 0.5 with the origin as the center of dilation (pink polygon on attached diagram).
This means multiply the x and y values of the points by 0.5:
A → (-1, 2)
B → (-4, 1)
C → (-2, 4)
D → (-1, 3)
Rotate 90° clockwise about the origin: (x, y) → (-y, x)
A' = (-2, 1)
B' = (-1, 4)
C' = (-4, 2)
D' = (-3, 1)
So the transformations are:
Dilate by a scale factor of 0.5 with the origin as the center of dilation.Rotate 90° clockwise about the origin.Sonny is twice as old as Wale. Four years ago, he
was four times as old as Wale. When will the
sum of their ages be 66?
Answers
Let S be Sonny age now and W be Wale age now
[tex]S=2W[/tex]
[tex]S-4=4(W-4)[/tex]
[tex]S-4=4W-16[/tex]
[tex]S=4W-16+4=4W-12[/tex] but [tex]S=2W[/tex]
[tex]2W=4W-12[/tex]
[tex]2W-4W=-12[/tex]
[tex]-2W=-12[/tex]
[tex]W=12[/tex] ÷ [tex]2=6[/tex] years old age of Wale now[tex]S=2W=2(6)=12[/tex] years old age of Sonny nowWhen will the sum of their ages be 66? Let x be the number of years from now that the sum of their ages be 66, so Sonny will be [tex]12+x[/tex] and Wale will be [tex]6+x[/tex]:
[tex](12+x)+(6+x)=66[/tex][tex]18+2x=66[/tex][tex]2x=66-18=48[/tex][tex]x=48[/tex] ÷ [tex]2=24[/tex] years from nowTherefore, 24 years from now, Sonny will be [tex]12+24=36[/tex] years old and Wale will be [tex]6+24=30[/tex] years old and the sum of their ages will be [tex]36+30=66[/tex] years.
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Are
Right triangles are a subcategory of triangle
Yes or no
Answers
What is the square root of 45?
Answers
Step-by-step explanation:
=3√5
thank me later....
NAME:
6. This equation is the conversion formula to change the units for measuring
temperature from degrees Fahrenheit to degrees Celsius.
C = (F-32)
Which expression best describes the variables C and E?
A C varies inversely to F
B. C is dependent on F.
Fis dependent on C.
D. Fvaries inversely to C.
7. At a farmer's market, strawberries are priced at 4pounds for $8.
Answers
I might be wrong because I haven’t learned this but I just did it
Triangle DHI is translated to the left 6 units and up 5 units up. What are the new coordinates for point D'?
Question 19 options:
(3, -2)
(-1, 2)
(-2, 3)
(-3, 2)
Answers
Answer:
c=(-2,3)
Step-by-step explanation:
hope u get it right
Given the conditional relative frequency table by column, what does the 0.14 represent? given that a student is a 10th grader, there is a 14% chance he or she has a job. given that a student has a job, there is a 14% chance he or she is a 10th grader. 14% of the students surveyed are 10th graders who have a job. 14% of the students are 10th graders.
Answers
The first option is correct because 0.14 represents that if a student is a 10th grader, there is a 14% chance he or she has a job.
What is a conditional relative frequency table?It is a special type of frequency table that shows relationships between two categories.
From the given table it is clear that 0.14 is the probability of getting a job if a student is a 10th grader,
Option B is incorrect, stating there is a 14% chance a student is a 10th grader if he/she has had a job because we do not know the number of students.
Option C is also incorrect stating that 14% of the students surveyed are 10th graders who have a job because we do not know the total number of students.
Option D is also incorrect because we do not know the number of students.
Therefore, First option is correct because 0.14 represents that if a student is a 10th grader, there is a 14% chance he or she has a job.
To get more about conditional relative frequency, refer to the link,
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Answer:
A. Given that a student is a 10th grader, there is a 14% chance he or she has a job.
Step-by-step explanation:
name the lengths of the sides of three rectangles with perimeters of 12 units
Answers
Answer:
Rectangle 1 4, 4, 2 and 2
Rectangle 2 5, 5, 1 and 1
Rectangle 3 3.5, 3.5, 2.5 and 2.5
Step-by-step explanation:
helppppp please i need help
Answers
Step-by-step explanation:
to gat everything you have to find the Area.
to get the area you have to multiple the number 2 tims
Which statement compares the absolute value of -1/2 and 2/5
Answers
Answer:
i have no idea
Step-by-step explanation:
Makes the equation 6x – 14 + 3(2x – 1) = 5 – 2(x – 10) true? *
Answers
Bodmas 6x+14= 9x -14×1x=14-10=4 x=10
Can you answer them for me in a simple way so I can finish learning for my test who ever does it I appreciate there hard work ?
Thank you
Answers
Answer:
13:192 in2
Step-by-step explanation
with the pythagoras theorem you can find the base =6
base x height /2= area =24
two triangles=24.2 =48
square one side =12
area=12.12=144
area of the shape = 144+48=192
Using the pythagorean theorem, we can calculate the base of the right triangle to be 6 (1 triangle)
-> The triangle's base length is 12.
So, the square's length is also 12.
We can now calculate the area of the figure : 12 x 12 + 12 x 8 : 2 = 192 in2
Sara has a box of 12 greeting cards. The cards are equally divided into 3 different designs of butterflies, shells, and flowers. Sara likes all the designs. So, she reaches into the box and randomly selects a card. Which Three statements are correct?
Answers
The probability of picking a butterfly design when Sara has a box of 12 greeting cards is 1/3.
How to compute the probability?Your information is incomplete as the statements aren't given. Therefore, an overview will be given.
From the information, Sara has a box of 12 greeting cards. The probability of picking a butterfly design will be:
= 4/12 = 1/3
The probability of picking a butterfly or flower design will be:
= 4/12 + 4/12
= 8/12
= 2/3
Learn more about probability on:
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60,582,876+85,632,895
Answers
Answer:
answer 100%100 is 146215771
what point can be used to create a right triangle the āb as its hypotenuse
Answers
PLEASE HELP!!!!
NO LINKS!!!
In the circle below, find the measure of arc ED. Only input the number for
the answer. *
A
B
52°
C
E
D
Answers
Answer:
arc ed is 38 degrees
Step-by-step explanation:
dc is 90
bc is 52
ad is 180
90 + 52 = 142
180 - 142 = 38
ab (38) is the same as ed
ab = ed
ed = 38
Answer:
142
Step-by-step explanation:
the whole circle is 360 degrees.
90+52=142
180-142=38
AB=38 is the same as DE.
90+52+38+38=218
360-218=142.
You had 90 books on your shelf. You decided to donate 20%. How many books were donated? How many do you have left?
1. 30 donated and 88 left
2. 24 donated and 72 left
3. 18 donated and 64 left
4. 18 donated and 72 left
Answers
20% of 90= 18
80% of 90=72
———————-
100% of 90=90
The sum of two polynomials is 10a2b2 – 8a2b 6ab2 – 4ab 2. if one addend is –5a2b2 12a2b – 5, what is the other addend? 15a2b2 – 20a2b 6ab2 – 4ab 7 5a2b2 – 20a2b2 7 5a2b2 4a2b2 6ab – 4ab – 3 –15a2b2 20a2b2 – 6ab 4ab – 7
Answers
The other polynomial addend, when the sum of two polynomials is 10a2b2 – 8a2b 6ab2 – 4ab is 15a²b²- 20a²b + 6ab² - 4ab + 7.
What is polynomial?Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).
The sum of two polynomials is,
[tex]10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2[/tex]
The one polynomial addend is,
[tex]-5a^2b^2 +12a^2b - 5[/tex]
Let suppose the other polynomial addend is f(a,b). Thus,
[tex](-5a^2b^2 +12a^2b - 5)+f(a,b)=(10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2)[/tex]
Isolate the second polynomial as,
[tex]f(a,b)=(10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2)-(-5a^2b^2 +12a^2b - 5)\\f(a,b)=10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2+5a^2b^2 -12a^2b + 5[/tex]
Arrange the like terms as,
[tex]f(a,b)=10a^2b^2+5a^2b^2 - 8a^2b -12a^2b+ 6ab^2 - 4ab + 2+5\\f(a,b)=15a^2b^2- 20a^2b + 6ab^2 - 4ab + 7[/tex]
Hence, the other polynomial addend, when the sum of two polynomials is 10a2b2 – 8a2b 6ab2 – 4ab is 15a²b²- 20a²b + 6ab² - 4ab + 7.
Learn more about polynomial here;
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In general, what does it mean for a transformation to be a rigid motion? Explain.
Answers
Answer:
A rigid motion is when an object is moved from one location to another and the size and shape of the object have not changed. Two figures are congruent if and only if there exists a rigid motion that sets up a correspondence of one figure as the image of the other.
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