Answer:
6
Step-by-step explanation:
Let line WY be the line of reflection
RR has the midpoint at Z.
In other words, the line: =
SS is another line
It has a midpoint at X. In other words, line SX =
If SS = 12, then the line SX =
Because the shape is a parallelogram, it means that RZ = SX = 6
Which of the following theorems verifies that ABC~WXY?
Answer:
The correct answer is option B. AA
Step-by-step explanation:
Given two triangle:
[tex]\triangle ABC[/tex] and [tex]\triangle WXY[/tex].
The dimensions given in [tex]\triangle ABC[/tex] are:
[tex]\angle A = 27^\circ\\\angle B = 90^\circ[/tex]
We know that the sum of three angles in a triangle is equal to [tex]180^\circ[/tex].
[tex]\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow 27+90+\angle C=180^\circ\\\Rightarrow \angle C = 63^\circ[/tex]
The dimensions given in [tex]\triangle WXY[/tex] are:
[tex]\angle Y = 63^\circ\\\angle X = 90^\circ[/tex]
We know that the sum of three angles in a triangle is equal to [tex]180^\circ[/tex].
[tex]\angle W+\angle X+\angle Y = 180^\circ\\\Rightarrow \angle W+90+63=180^\circ\\\Rightarrow \angle W = 27^\circ[/tex]
Now, if we compare the angles of the two triangles:
[tex]\angle A = \angle W = 27^\circ\\\angle B = \angle X= 90^\circ\\\angle C = \angle Y= 63^\circ[/tex]
So, by AA postulate (i.e. Angle - Angle) postulate, the two triangles are similar.
[tex]\triangle ABC \sim \triangle WXY[/tex] by AA theorem.
So, correct answer is option B. AA
Answer:
B. AA
Step-by-step explanation:
Which is the graph of the function f(x) = -√x
Answer:
1st Graph
Step-by-step explanation:
Easiest and quickest way is to graph the function in a graphing calc and then choosing the best answer.
Which shows the numbers One-tenth, 0.9, Three-tenths in order from least to greatest?
One-tenth, Three-tenths, 0.9
0.9, Three-tenths, One-tenth
0.9, One-tenth, Three-tenths
Three-tenths, 0.9, One-tenth
Answer:
Its A sorry im late
Which equation is parallel to the line y=2x+6 and passes through the point (8,1)?
y = 2x+6
y = 2x-15
y = 2x+10
y = -2x-7
The answer is y = 2x - 15
The equation of a line is y = mx +c
m = slope
c = y intercept
From this equation y=2x+6
m = 2
Since the lines are parallel their gradients are also the same
Equation of the line using point (8,1) is
y - 1 = 2(x-8)
y - 1 = 2x - 16
y = 2x - 15
Hope this helps
Answer: y=2x-15
Step-by-step explanation: Since the lines are parallel their slopes will be the same, so all you need to do is plug in (8,1) in the x and y values of the equation: y=2x+b. When you do this you get 1=2(8)+b. Simplify. The b value will be -15 which is the y-intercept so the answer is y=2x-15
Election Three candidates run for an office in a local election. In all, 12,936 votes
are cast, and the breakdown of votes for the three candidates is in the extended ra
3:4:5. Find the actual numbers of votes cast for the three candidates.
Answer:
3234
4312
5390
Step-by-step explanation:
3x +4x + 5x = 12936
12x = 12936
Identify the equation that translates y = l n (x) five units down. y = l n (x minus 5) y = l n (x) + 5 y = l n (x + 5) y = l n (x) minus 5
Answer:
y=ln(x) minus five
Step-by-step explanation:
y=ln(x) five units down
Five units down could mean minus five(-5)
The expression can be written as
y=ln(x)-5
That is,
y=ln(x) minus five
The equation that translates y = ln(x) 5 units down is y' = ln(x) - 5
How to determine the equation?The function is given as:
y = ln(x)
When translated down by 5 units, the rule of translation is:
(x, y) => (x, y - 5)
So, we have:
y' = ln(x) - 5
Hence, the equation that translates y = ln(x) 5 units down is y' = ln(x) - 5
Read more about transformation at:
https://brainly.com/question/4289712
#SPJ9
What is the length of CD? in this diagram ABC ~ EDC
Answer & Step-by-step explanation:
These triangles are similar. This means that they are going to have the same ratios within their different sides.
AC and CE already have measurements so we are going to find the ratio between them. We can do this by dividing 21 by 7.
21 / 7 = 3
So, since the ratio between AC and CE is 3, then the rest of the triangle has a ratio of 3 with the other triangle.
So, let's set up an equation so we can find the value of x.
21/7 = (20 - x)/x
Cross multiply.
21x = 140 - 7x
Add 7x to both sides of the equation.
28x = 140
Divide 28 from 140.
x = 5
Now that we have the value of x, then we can find the measurement of CD.
The measurement of CD is 5.
Answer:
5
Step-by-step explanation:
a-p-e-x
I, myself self am not too good at Sin, Con, and Tan so I could use some help on double-checking if this is correct??
Answer:
[tex] \tan(a) = \frac{28}{45} [/tex]
look from the tan A angle , the opposite is 28 and adjacent is 45
Mandana is ordering new tile for her kitchen floor. The area of the floor is 111.8 square feet, and she wants to order between 15%
and 20% extra of the materials. Which of the following is a reasonable amount of tile for Mandana to order?
OA. 135 square feet
OB. 125 square feet
OC. 127 square feet
OD. 133 square feet
Answer:
127
Step-by-step explanation
Pedro is going to use sas to prove
Answer:
A) prove that QR = QR by reflexive property of congruence
Which ordered pair is a solution to the system of linear equations 1/2x-3/4y=11/60 and 2/5x+1/6y=3/10
Answer:
([tex]\frac{2}{3} , \frac{1}{5}[/tex])
Step-by-step explanation:
The fastest way to do this is to convert both equations into slope-intercept form and graph it to find the solution point. If you wanted to do this algebraically, you might want to start out by getting rid of the fractions and using either substitution or elimination to find x and y.
Use slope-intercept form, y = mx + b, to find the value for the y-intercept (b) of a line that has a slope of 6 and passes through the point (3, –5). b = What is the new equation written in slope-intercept form?
Answer:
y = 6x - 23
Step-by-step explanation:
Step 1: Write out known variables
y = 6x + b
Step 2: Find b
-5 = 6(3) + b
-5 = 18 + b
b = -23
Step 3: Write it all out
y = 6x - 23
And we have your equation!
Answer:
here is the answer from edge
Step-by-step explanation:
given that2025=
[tex] {3}^{k \times } {5}^{t} [/tex]
state the values of k and t
Answer:
k = 4, t = 2
Step-by-step explanation:
Express 2025 as a product of its prime factors
2025 = [tex]3^{4}[/tex] × 5², that is
[tex]3^{4}[/tex] × 5² = [tex]3^{k}[/tex] × [tex]5^{t}[/tex]
Comparing exponents of same bases on both sides, gives
k = 4 and t = 2
Lizbeth has 38 coins consisting of nickels, dimes, and quarters. The total value of the coins is $6.40. The number of quarters if three more than three times the number of dimes. How many of each type of coin does Lizbeth have? PLEASE EASY 25 POINTS.
Answer:
21 quarters, 6 dimes, and 11 nickels
Step-by-step explanation:
# of Quarters = x.
# of Dimes = y.
# of Nickels = z.
(i)x = 3y+3.
(ii) 0.25x + 0.1y + 0.05z = 6.4
(iii) x + y + z = 38.
Multiplying (iii) by -0.05, and adding it to (ii),
we then get:
0.2x + 0.05y = 4.5.
Now plug in (i) into this.
0.65y + 0.6 = 4.5.
0.65y = 3.9
y = 6.
Since y = 6, we can subsitute this into our equation.
0.2x + 0.3 = 4.5
0.2x = 4.2
x = 21.
Since x = 21, y =6, then z = 11.
5-star rating n brainiest if answered right
Answer:
(-7,10)
please see the attached picture for full solution..
hope it helps..
Good luck on your assignment
Which graph represents the function (x) = - 21 - 1
Answer:
the one with a vertical line at the x value of -22
Step-by-step explanation:
subtract negative 21 to 1 to get -22
Then x=-22
Graph.
3 quarts but in cups
Answer:
12 cups
Step-by-step explanation:
there are 4 cups in 1 quart. You multiply both of them by 3 so there are 12 cups in 3 quarts
Answer:
12 cups
Step-by-step explanation:
1 quart = 4 cups
4*3 = 12
12 cups
brainliest??
Plllllllllllease heeeeelp
Answer:
SA = 967.6 cm²
Step-by-step explanation:
Surface Area of cylinder = [tex]2\pi r h + 2\pi r^2[/tex]
Where r = 7 cm, h = 15 cm
=> SA = 2(3.14)(7)(15)+2(3.14)(7)²
=> SA = 659.7 + 2(3.14)(49)
=> SA = 659.7 + 307.9
=> SA = 967.6 cm²
Answer:
967.12 cm^2
Step-by-step explanation:
To find surface area of cylinder:
Find area of cross section x 2 = pi x r ^2 = 153.86 x 2 = 307.72cm^2
Area of curved surface = 3.14 x 14 x 15 = 659.4 cm^2
Total Surface Area = 659.4 + 307.72 = 967.12cm^2
Hope this helps
Jamaal spent x minutes today practicing his guitar and y minutes today on homework. If the total time he spent on both is 45 minutes or more, which inequality best represents his practice time? x + y 45 x + y ≤ 45 x + y ≥ 45
Answer:
the answer is actually d
Step-by-step explanation:
Given the diagram below, what is cos(45") ?
A. 22
B.
C.
V2
D. 4,2
The point P(x, y) is on the terminal ray of angle theta. If theta is between pi and 3pi/2 radians and csc theta equals -5/2 what are the coordinates of P(x, y)?
Answer:
(-4.58, -2)
Step-by-step explanation:
[tex]\theta $ is in between \pi$ and $\frac{3\pi}{2}$ radians \\Therefore, \theta$ is in Quadrant III\\If \csc \theta = -\dfrac{5}{2}$ and cosec \theta = \dfrac{Hypotenuse}{Opposite} \\ $Therefore:\\Hypotenuse = 5\\Opposite $=-2[/tex]
Using Pythagoras Theorem
[tex]5^2=(-2)^2+ x^2\\25=4+x^2\\x^2=21\\x=\sqrt{21} \approx 4.58[/tex]
Since the angle is in the third Quadrant, Adjacent = -4.58.
Therefore, the coordinates of P(x,y) is (-4.58, -2)
Answer: a
Step-by-step explanation: edge 2021
What is the area of the real object that the scale drawings models? I just need someone to explain how to get the answer but I already answered the right one but I guessed.
Answer:
360
Step-by-step explanation:
You could pretend that the smaller shape has sides 5 and 8, because 5x8=40.
The side 5 would be 15, and the side 8 would be 24.
15x24=360
Answer:
360
Step-by-step explanation:
sorry if wrong I just had this question but it doesn't let me see if I got answer right or wrong ever lol
Find the perimeter of the figure?
Answer:
36
Step-by-step explanation:
9+9+9+9=36
Answer: 36 cm
Step-by-step explanation:
The perimeter is the sum of all side lengths of the figure. Since this is a square, all sides have the same length.
9 * 4 = 36
Quicklkkkkkkkk If a football player passes a football from 4 feet off the ground with an initial velocity of 36 feet per second, how long will it take the football to hit the ground? Use the equation h = −16t2 + 6t + 4. Round your answer to the nearest hundredth. 0.72 0.65 0.35 0.27
Answer:
Since time can't be negative, the only possible solution is 0.72 s.
Step-by-step explanation:
When the ball hits the ground its height is equal to 0, so we must find a value for "t" that results in h = 0. We have:
[tex]-16*t^2 + 6*t + 4 = 0\\t_{1,2} = \frac{-6 \pm \sqrt{(6)^2 - 4*(-16)*(4)}}{2*(-16)}\\t_{1,2} = \frac{-6 \pm \sqrt{292}}{-32}\\t_{1,2} = \frac{-6 \pm 17.1}{-32}\\t_1 = \frac{-6 -17.1}{-32} = 0.72\\t_2 = \frac{-6 + 17.1}{-32} = -0.35\\[/tex]
Since time can't be negative, the only possible solution is 0.72 s.
Answer:
.72
Step-by-step explanation:
I got it right on the test!!!
If f(x) is parallel to the line y
2x+, which function could be f(x)?
O Rx)=2x+9
4
o RX)=-3x+9
o RX)= 9x+
2
Of(x)= 9x-
5
2
Answer:
Step-by-step explanation:
The line y = 2x + c
has a slope of 2. Any new line parallel to this one must also have a slope of 2.
Correct choices include the first one alone. None of the others are correct.
From the given option the required equation parallel to the function is y = 2x + 9
Equation of a lineThe standard equation of a line is y = mx + c
m is the slope of the linec is the interceptGiven the equation y = 2x + c
Ths lope of the line is 2
Hence the equation parallel to the equation must have a slope of 2. From the given option the required equation parallel to the function is y = 2x + 9
Learn more on equation of aline here: https://brainly.com/question/13763238
the diagram shows a scale drawing of a playground. The scale of the drawing is 1:500. Work out the perimeter. Give answer in metres
Answer:
The perimeter of the playground is 65 metres
Step-by-step explanation:
Questions like this requires attachment; See attachment for diagram.
From the diagram, we have the following parameters
[tex]Length = 2cm[/tex]
[tex]Width = 4.5cm[/tex]
Required
Calculate the parameter of the actual diagram
First, the actual length and width has to be calculated;
Given that the scale drawing is 1:500
[tex]Actual\ Length = 500 * 2cm = 1000cm[/tex]
[tex]Actual\ Width = 500 * 4.5cm = 2250cm[/tex]
Now, the perimeter can be calculated;
[tex]Perimeter\ of\ a\ Rectangle = 2(Length + Width)[/tex]
[tex]Perimeter = 2(1000cm + 2250cm)[/tex]
[tex]Perimeter = 2(3250cm)[/tex]
[tex]Perimeter = 6500cm[/tex]
However, the question requires answer to be in meters
If 100 cm = 1 m, then
[tex]6500cm = \frac{6500m}{100}[/tex]
[tex]6500cm = 65m[/tex]
Hence, the perimeter of the playground is 65 metres
Can I get help with this?
Answer:
120°
Step-by-step explanation:
The intercepted arc MN is twice the measure of the inscribed angle NLM
arc MN =2 × 60° = 120°
Find the sum (the question is in the photo)
x3+3x2−4
________
9x4−12x2
Algebra isn't fun. Hope that helps though!
Points $A(-1, -2)$ and $B(3, 2)$ are the endpoints of a diameter of a circle graphed in a coordinate plane. How many square units are in the area of the circle? Express your answer in terms of $\pi$.
Answer:
8 pi square units
Step-by-step explanation:
AB=V[3-(-1)]^2+[2-(-2)]^2=V16+16=V4^2*2=4V2
radius =4V2/2=2V2
Area=pi*(2V2)^2=8pi square units
Solve 6x - 11 = x + 14
Answer:
x=5
Step-by-step explanation:
(the goal is to get x by itself)
subtract x on both sides
5x-11=14
add 11 on both sides
5x=25
divide 5 on both sides
x=5
and check your work by plugging x back in to see if the two sides equal each other.
Step-by-step explanation:
6x-11=x+14
[tex]6x - x - 11 - 14 = 0 \\ 5x - 25 = 0 \\5x = 25 \\ x = 5[/tex]