Answers
Question 23
Recall that a kite in geometry is any four sided figure where we have two different pairs of adjacent sides that are the same length.
We're told that PS = 4.5 and RS = 6. So this isn't an adjacent pair of congruent sides. But we can say that PS and PQ are one pair of adjacent congruent sides. That makes PQ to be 4.5 cm long.
Similarly, RS = RQ = 6 is the other pair of adjacent congruent sides. Notice that triangle PQR reflects over line PR to get triangle PSR.
See the diagram below.
Related Questions
Find The Measure Of D
Answers
Answer:
138 Degrees
Step-by-step explanation:
Because it is adjacent to the 42 degrees, just subtract 42 from 180 to get 138 degrees.
Answer:
D+42*=180*
D=180-42
138
Step-by-step explanation:
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Find √10 yo the nearest hundredth
Answers
Answer:
√10 = 3.16
Step-by-step explanation:
using calculator
√10 = 3.162277660168379
Hundredths is the second decimal place.
Since the next decimal place is less than 5
there is no need to round up
√10 = 3.16
Recall that variables represent changing values. In this unit, you will work with
equations that contain two different variables. What types of situations might be
modeled with equations containing two or more variables? If the value of one variable
changes, must the value of the other variable change for the equation to remain true?
How would the number of solutions for an equation with two variables differ from the
number of solutions for an equation with only one? Explain
Answers
Answer:
It depends on the equations and the variables.
Example of an equation in 2 variables with infinitely many solutions:
sin2x - cos2y + cos2x - sin2y = 0
Example of an equation in 1 variable with 2 solutions:
(x - 1)(x - 2) = 0
Example of 2 equations in 2 variables with no solution:
The intersection of the lines given by
y = 3x + 1
y = 3x + 2
Example of an equation in 1 variable with 1 solution:
5x - 4 = 15
Example of an equation in 1 variable with no real solution:
x2 + 49 = 0
We can go on and on with examples like this. The question is way too general.
Step-by-step explanation:
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Given the linear equation
[tex]5x+3y-9=0[/tex]
.
Answers
5x+ 3y -9 = 0
First off, b and mx are on the wrong side so you correct this by adding nine and subtracting 5x.
5x-5x + 3y -9 + 9 = 0 -5x + 9
3y = -5x + 9
you need y not 3y so divide 3y by 3 and you have to do it on both sides
3y/3= -5x/3 + 9/3
y= -5/3x + 3 is your answer please check before hand.
If this trapezoid is moved through the
translation (x+3, y-2), what will the
coordinates of D' be?
5
B
С
4
3
2
A
D
1
-7 -6 -5 -4
-3 -2
-10
1
2
3
4
D' = ([?], [ ]
-2.
Answers
9514 1404 393
Answer:
D'(4, 0)
Step-by-step explanation:
(x, y) ⇒ (x +3, y -2)
D(1, 2) ⇒ D'(1+3, 2-2) = D'(4, 0)
A girl runs 2 km in 1 hour . How long will she take to ran 500 m ?
Answers
Answer:
1/4 he
Step-by-step explanation:
Answer:
1/4 hour
Step-by-step explanation:
convert 2 km to m
1 km = 1000m
2 km = 2*1000 m
=2000 m
distance time taken
2000 m 1 hour
500 m let be x
2000/500 = 1/x
do cross multiplication
500*1 = 2000*x
500/2000 = x
1/4 = x
answer choices:
a. 111
b. 69
c. 86
d. 71
Answers
Answer:
b
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ 1 is an exterior angle of the triangle , then
∠ 1 = 30° + 39° = 69°
Answer:
option b: 69°
Step-by-step explanation:
the sum of the interior angles of a triangle is 180c.
that is, 39 + 30 + x = 180
x = 180 - 39 - 30
x = 111°
∠ 1 + x = 180° [ straight line angles ]
∠1 + 111° = 180°
∠1 = 180 - 111 = 69°
the measures of the angles of a triangle are shown in the figure. solve for x
Answers
Answer:
solution,
x+41+59=180⁰ ( the sum of total angle of triangle is 180⁰)
or, x+ 100=180
or, X=180-100
so , X=80
Step-by-step explanation:
let us check
59+41+80=180
what is the equation of the parabola with focus (-1/4,-2/3) and directrix y=3/4?
A. y = -x^2 +8x -7
B. y = -1/2x^2 +14/5x +17/53
C. y = -6/17x^2 - 3/17x +1/51
D. y = -1/6x^2
Answers
Given:
Focus of the parabola = [tex]\left(-\dfrac{1}{4},-\dfrac{2}{3}\right)[/tex]
Directrix of the parabola is [tex]y=\dfrac{3}{4}[/tex].
To find:
The equation of the parabola.
Solution:
The equation of the parabola is:
[tex](x-h)^2=4p(y-k)[/tex] ...(i)
Where, (h,k) is vertex, (h,k+p) is focus and [tex]y=k-p[/tex] is the directrix.
It is given that the focus of the parabola is at [tex][/tex].
[tex](h,k+p)=\left(-\dfrac{1}{4},-\dfrac{2}{3}\right)[/tex]
On comparing both sides, we get
[tex]h=-\dfrac{1}{4}[/tex]
[tex]k+p=-\dfrac{2}{3}[/tex] ...(ii)
Directrix of the parabola is [tex]y=\dfrac{3}{4}[/tex]. So,
[tex]k-p=\dfrac{3}{4}[/tex] ...(iii)
Adding (ii) and (iii), we get
[tex]2k=-\dfrac{2}{3}+\dfrac{3}{4}[/tex]
[tex]2k=\dfrac{-8+9}{12}[/tex]
[tex]k=\dfrac{1}{12\times 2}[/tex]
[tex]k=\dfrac{1}{24}[/tex]
Putting [tex]k=\dfrac{1}{24}[/tex] in (ii), we get
[tex]\dfrac{1}{24}+p=-\dfrac{2}{3}[/tex]
[tex]p=-\dfrac{2}{3}-\dfrac{1}{24}[/tex]
[tex]p=\dfrac{-16-1}{24}[/tex]
[tex]p=\dfrac{-17}{24}[/tex]
Putting [tex]h=-\dfrac{1}{4},k=\dfrac{1}{24}, p=-\dfrac{17}{24}[/tex] in (i), we get
[tex]\left(x-(-\dfrac{1}{4})\right)^2=4\left(-\dfrac{17}{24}\right)\left(y-\dfrac{1}{24}\right)[/tex]
[tex]\left(x+\dfrac{1}{4}\right)^2=-\dfrac{17}{6}\left(y-\dfrac{1}{24}\right)[/tex]
[tex]x^2+2(x)(\dfrac{1}{4})+(\dfrac{1}{4})^2=-\dfrac{17}{6}\left(y-\dfrac{1}{24}\right)[/tex]
[tex]-\dfrac{6}{17}\left(x^2+\dfrac{1}{2}x+\dfrac{1}{16}\right)=y-\dfrac{1}{24}[/tex]
On further simplification, we get
[tex]-\dfrac{6}{17}(x^2)-\dfrac{6}{17}(\dfrac{1}{2}x)-\dfrac{6}{17}(\dfrac{1}{16})=y-\dfrac{1}{24}[/tex]
[tex]-\dfrac{6}{17}x^2-\dfrac{3}{17}x-\dfrac{3}{136}+\dfrac{1}{24}=y[/tex]
[tex]-\dfrac{6}{17}x^2-\dfrac{3}{17}x+\dfrac{-9+17}{408}=y[/tex]
[tex]-\dfrac{6}{17}x^2-\dfrac{3}{17}x+\dfrac{8}{408}=y[/tex]
[tex]-\dfrac{6}{17}x^2-\dfrac{3}{17}x+\dfrac{1}{51}=y[/tex]
Therefore, the equation of the parabola is [tex]y=-\dfrac{6}{17}x^2-\dfrac{3}{17}x+\dfrac{1}{51}[/tex]. Hence, the correct option is C.
the slope of line (-1,1) (2,-5)?
Answers
Answer:
slope = 4/3
Step-by-step explanation:
(-1 , 1) = (x1 , y1)
(2 , 5) = (x2 , y2)
slope (m) = y2 - y1/x2 - x1
=5 - 1/2 - (-1)
=4 /2+1
=4/3
Help me solve this problem please
Answers
Answer:
actually what is this is you is this a geometry, trigonometry I don't know what to call
a rectangle is twice as long as it is wide and its perimeter is 432cm
a) work out the dimensions of the rectangle.
b) work out the area of the rectangle.
Answers
Let
Width of rectangle=xLength of rectangle=2xPerimeter=432cmWe know that in a rectangle
☆ Perimeter=2(Length+Breadth)
[tex]\\ \sf\longmapsto 2(x+2x)=432[/tex]
[tex]\\ \sf\longmapsto 2x+4x=432[/tex]
[tex]\\ \sf\longmapsto 6x=432[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{432}{6}[/tex]
[tex]\\ \sf\longmapsto x=72[/tex]
[tex]\\ \sf\longmapsto 2x=2(72)=144[/tex]
Length=144cmBreadth=72cm☆Area=Length×Breadth
[tex]\\ \sf\longmapsto Area=144\times 72[/tex]
[tex]\\ \sf\longmapsto Area=10368cm^2[/tex]
What is the slope of the line on the graph below?
5
4
3
4
1
54 321
1 2 3 4 5 X
wy
-
0
Answers
Answer:
positive slope
Step-by-step explanation:
when a graph is sloping to the right it means it has a positive . the gradient of this straight is positive .
gradient of the line is greater than 0
The slope of the line is m = 2
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 1 , 3 )
Let the second point be Q ( 0 , 1 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 3 - 1 ) / ( 1 - 0 )
m = 2
Therefore , the value of m is 2
Hence , the slope is 2
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Fill in the blank. Given O below, you can conclude that SO is congruent to ___
Answers
Answer:
AO
Step-by-step explanation:
Which of the following statements is true for this distribution? (No calculations are required to answer this question.)
50
60
70
80
O A Mean > Median
O
B. The relationship between the mean and median cannot be determined from the display.
O
C. Median > Mean
O D. Mean = Median
Answers
Answer:
The t distribution can be used when finding a confidence interval for the population mean whenever the sample size is small.
Hence, the correct option is A.
To estimate the population mean we use a t-distribution to calculate the confidence interval. When we use a t-distribution the sample standard deviation is used to estimate the population standard deviation
Calculate the following:
5 +0,3 +0,04 + 0,008 in steps
Answers
Answer:
5.348
Step-by-step explanation:
5 + 0.3 + 0.04 + 0.008
If you find this difficult to calculate put zeroes in Hundredths place and thousandths place
=> 5.000 + 0.300 + 0.040 + 0.008
=>5.348
No files just type it in please and thank you
Answers
Answer:
The answer is A - 5×9 I think so..
line m is perpendicular to line n if the slope of line m is 3/2 what is the slope of line n
Answers
Answer:
definantly 3/2
Step-by-step explanation:
perpendicular means same slope
Two numbers have a sum of 124
Write in algebraic expression
Answers
Answer:
Step-by-step explanation:
Let one number = x
Let the other number = y
x + y = 124
You can't go any further than that without more information.
The good news is that no number is excluded.
x = 248
y = -124 for example
Help
Will
Give
Brainlist
Math
Answers
Answer:
[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]
╭⋟───────────────
Sentence ⇻ The product of - 11 & - 7 gives 77.
Equation ⇻ [tex]\boxed{-11(-7)=77}[/tex].
───────────────⋞╯
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
[tex] RainbowSalt2^{2}2^{2}[/tex] ❦
Answer:
-11(-7) = 77
Step-by-step explanation:
"and" = multiplication sign in maths
On the last day of a Shakespeare class, an English teacher asked her students which play
they liked the best, and she recorded the results to date.
2 liked Hamlet
8 liked Twelfth Night
2 liked a Midsummer Night's Dream
What is the experimental probability that the next student to respond likes Hamlet best?
Write your answer as a fraction or whole number
Answers
Answer:
ok so if we add this up we get that there is 14 kids in the class who have been polled and 2/14 or 1/7 likes hamlet so the chance is 1 out of 7
The experimental probability that the next student to respond likes Hamlet best is [tex]\frac{1}{6}[/tex] .
Concept:Probability = [tex]\frac{Favourable \ Outcomes }{Total \ Outcomes}[/tex]To find total outcomes, we will add all the students.To find the favorable outcomes, we will count the number of students that likes hamlet.How to solve the given question?Probability = [tex]\frac{Favourable \ Outcomes }{Total \ Outcomes}[/tex]Total Outcomes = 2 + 8 + 2 = 12Favorable outcomes = 2∴ [tex]P(E) = \frac{Favourable \ Outcomes }{Total \ Outcomes} = \frac{2}{12} =\frac{1}{6}[/tex]Thus, the experimental probability that the next student to respond likes Hamlet best is [tex]\frac{1}{6}[/tex] .
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Drag the items to complete the sentences about the end behavior of the exponential function graphed.
Answers
Answer:
as x --> oo, f(x) = oo (infinite)
as x -- -oo, f(x) = 3
pls tell the answer in step by step
Answers
Answer:
5
Step-by-step explanation:
here, the highest degree is 5 so the degree of polynomial is also 5.
At 7am the temperature was -4 degrees. by 3pm the temperature had gone up by 10 degrees. what was the temperature at 3am
Answers
Answer:
6 degrees
Step-by-step explanation:
[tex] - 4 + 10 = 6[/tex]
Answer:
6 degrees
Step-by-step explanation:
Who hates math? I'm not too fond of math, but I love numbers.
Answers
I am math lover .Before I am also not too fond of math , but if you practiced it will be easy and you loves to do maths and your interest will increase .Sorry for late Answer of attachment will be 5190.
hope it is helpful to you
Answer:
your answer will be 5,190
Step-by-step explanation:
fist you have to subtract 80 from 599 and u will get 519 then you multiply to get the answer
I am also not so good in Math so I still try to help u
which statment descirbes the soloution to a equation
a+5(2a-1)+3=11a-2
Answers
Answer:
Any real number.
Step-by-step explanation:
I dunno what you're asking, but Im assuming you need what a equals to.
[tex]a+5(2a-1)+3=11a-2\\a+10a-5+3=11a-2\\11a-2=11a-2\\[/tex]
The answer is any real number.
Helppp and explain please and ty ;)
Answers
Answer:
Does this seem right to you?
if f(x)=x-3/x and g(x) = 5x – 4, what is the domain of (fog)(x)?
Answers
Answer:
x = 4/5 is the one x value that is not permitted. The domain of (fog)(x) is
(-infinity, 4/5) ∪ (4/5, infinity)
Step-by-step explanation:
(fog)(x) is the "composition" of f and g. We start with f(x) and replace x with g(x), which is 5x - 4:
3
f(x) = x - ------- becomes
x
3
f(5x - 4) = [5x - 4] - ------------
[5x - 4]
To identify the domain, consider the value or values of x for which the denominator shown above is zero: 5x - 4 = 0, or 5x = 4, or x = 4/5
The domain of the composite function (f·g)(x) in interval notation is (-∞,0)∪(0,∞).
What is domain and range of the function?The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.
The given functions are f(x)= x-3/x and g(X)=5x-4.
Now, (f·g)(x)=f(x)×g(x)
= (x-3/x)(5x-4)
(f·g)(x)= 5x²-15-4x+12/x
Find the domain by finding where the expression is defined.
Interval Notation: (-∞,0)∪(0,∞)
Set-Builder Notation:{x|x≠0}
Therefore, the domain of the composite function (f·g)(x) in interval notation is (-∞,0)∪(0,∞).
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i need help with this asap !!
Answers
Answer:
x^2-2x-13
Step-by-step explanation:
f(x) = 2x-5
g(x) = x^2 -4x-8
f(x) +g(x) = 2x-5 + x^2 -4x-8
Combine like terms
= x^2+2x-4x-5-8
=x^2-2x-13
A textbook store sold a combined total of 361 chemistry and biology textbooks in a week the number of chemistry textbooks sold was 45 more than the number of biology textbooks sold.how many textbooks of each type were sold?
Answers
Answer:
Chemistry Books- 203 and Biology Books- 158
Step-by-step explanation:
I'm not sure myself how I did it since I don't have an exact method but I can guarantee that the answer is correct. (Quick sum-up of what I kinda did though. Divide both numbers by 2, then added (22, about half of 45), add 180 (about half of 361) and then subtracted 202 from 361. Realized that it was one off so I just made it 203 and 158)
Sorry for the mess of an explanation but hope it helps!