Answer:
The correct option is the first option;
Triangle XYZ and PYT are connected at point Y. Triangle XYZ is reflected across XY and then is reflected another time across YZ to form triangle PYT
Step-by-step explanation:
To answer the question we look at each option as follows;
1) The parameters given are triangle XYZ and PYT are connected at point Y
Triangle XY is reflected about XY will shift the marked angle from left to right while the right angle will remain at the same location and the triangle will remain upright to give triangle X'Y'Z'
Reflection about the YZ will give; the marked angle and the right angle in the same location and the vertex X will then be changed to P
Therefore, triangle XYZ can be mapped to triangle PYT with two reflections
2) In the second option, we have triangle XYZ is reflected 3 times which is more than 2 times as in the question, therefore, option two is less suited as an answer to the question
3) Triangle XYZ is reflected across side XY and then is shifted down to form triangle AYT
Therefore, since we have only one reflection, option 3 is also not appropriate as an answer
4) In option 4 triangle XYZ is reflected and then rotated therefore option 4 is also not a correct option.
The correct option is (A). [tex]\Delta XYZ[/tex] and [tex]\Delta PYT[/tex] are connected at point Y. [tex]\Delta XYZ[/tex] is reflected across XY and then is reflected another time across YZ to form [tex]\Delta PYT[/tex].
Given, [tex]\Delta XYZ[/tex] and [tex]\Delta PYT[/tex] are connected at point Y.
[tex]\Delta XYZ[/tex] is reflected about XY will shift the marked angle from left to right while the right side angle will remain at the same location and the triangle will remain upright to give[tex]\Delta X'Y'Z'.[/tex]
Reflection about the YZ will give the marked angle and the right angle in the same location and the vertex X will then be changed to P.
Thus , [tex]\Delta XYZ[/tex] can be mapped to [tex]\Delta PYT[/tex] with two reflections.
In the second option, we have [tex]\Delta XYZ[/tex] is reflected 3 times which is more than 2 times as said in question. so this statement is false.
In next option [tex]\Delta XYZ[/tex] is reflected across side XY and then is shifted downwards to form [tex]\Delta AYT[/tex] . since here we have only one reflection, so this statement is also false.
4) In option 4 [tex]\Delta XYZ[/tex] is reflected and then rotated thus option 4 is also not a correct option.
Hence the correct statement is [tex]\Delta XYZ[/tex] and [tex]\Delta PYT[/tex] are connected at point Y. [tex]\Delta XYZ[/tex] is reflected across XY and then is reflected another time across YZ to form [tex]\Delta PYT[/tex].
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Solve the equation for x in terms of c.
2/3 (cx + 1/2) - 1/4 = 5/2 [tex]\frac{2}{3}\left(cx+\frac{1}{2}\right)-\frac{1}{4}=\frac{5}{2}[/tex]
A.) x = 9/4c [tex]\frac{9}{4c}[/tex]
B.) x = 27/8c [tex]\frac{27}{8c}[/tex]
C.) x= 29/18c [tex]\frac{29}{18c}[/tex]
D.) x = 29/8c [tex]\frac{29}{8c}[/tex]
Answer:
D
Step-by-step explanation:
Simplify and rearrange to solve.
2/3 (cx + 1/2) - 1/4 = 5/2
2/3 (cx + 1/2) = 5/2 + 1/4
2/3 (cx + 1/2) = 11/4
cx + 1/2 = 11/4 divided by 2/3
cx + 1/2 = 33/8
cx = 33/8 - 1/2 = 29/8
x= 29 / 8 divided by x = 29/8c.
Hope this helps.
The answer is D.) 29/8c
the prove and how to work it
a) Write 63 as the product of prime factors.
Write the prime factors in ascending order.
Answer:
3×3×7
Step-by-step explanation:
63 = 3 × 21
21 = 3 × 7
63 as a product of prime factors is 3×3×7
Rewrite the function by completing the square.
f(x) = x^2 + 14x + 8
Answer:
f(x) = (x + 7)^2 - 41
Step-by-step explanation:
f(x) = x^2 + 14x + 8
We take half of the coefficient of the x-term and square it.
Half of 14 is 7. 7 squared is 49. We add 49 to complete the square, but we then must subtract it at the end to not change the value of the function.
f(x) = x^2 + 14x + 49 + 8 - 49
f(x) = (x + 7)^2 - 41
The legs of a right triangle are 6.0 and 5.5, what is the
length of the hypotenuse?
A 10
B 66.25
C 11.5
D 8.1
Answer:
D
Step-by-step explanation:
To find the length of the hypotenuse, we use the Pythagoras’ theorem.
It states that the square of the hypotenuse equals the sum of the square of the two other sides.
So here, let’s say the hypotenuse is d.
d^2 = 6^2 + 5.5^2
d^2 = 36 + 30.25
d^2 = 66.25
d = √(66.25)
d = 8.14
A. 3 times
B. 0.3 times
C. 1.3 times
D. 3 more than
please help ill give brainly to best :D
Answer:
2.55° C
Step-by-step explanation:
T=4500/x
x= 1200 m ⇒ T= 4500/1200= 3.75° C
x= 3750 m ⇒ T= 4500/3750= 1.2° C
The difference in temperature= 3.75 - 1.2= 2.55° C
Answer this please thanks
Answer:
z=5, m<b=66 degrees
Step-by-step explanation:
8z+74+2z+56=180
10z+130=180
10z=50
z=5
Answer:
Step-by-step explanation:
To Find the value of x in this Alternate Interior Angle Relationship..
add [tex]8x+74[/tex] and [tex]2x+56[/tex]
[tex]8x+74+2x+56[/tex] combine like terms
[tex]10x+130=180[/tex]
subtract 130 on both sides
[tex]10x=50[/tex]
divide 10 on both sides
[tex]x=5[/tex]
Now solve for the angle of measure B
∠B=2(5)+56
∠B=10+56
∠B=66°
The diagram shows A(-3, 5) and B(8,1).
What is the distance between the points?
Enter your answer as a number, without units.
Round your answer to one decimal place, if necessary, like this: 42.5
Answer:
11.7
Step-by-step explanation:
You can form a right triangle with these points with a base of 11 and height of 4 with the third point as (-3, 1).
Using the Pythagorean Theorem, we get:
[tex]11^2+4^2=c^2\\121+16=c^2\\137=c^2\\c^2=137\\c=\sqrt{137}\\c=11.7[/tex]
The distance from A to B is roughly 11.7 units long.
The answers is AB= 12.5.
What is graph?The graph is nothing but an organized representation of data. It helps us to understand the data. Data are the numerical information collected through observation.
The word data came from the Latin word Datum which means “something given”
After a research question is developed, data is being collected continuously through observation. Then it is organized, summarized, classified, and then represented graphically.
As, per the graph
the base = 11 units and the height = 6 units
So, Using Pythagoras theorem,
11² + 6² = AB²
121+36 = AB²
157= AB²
AB = √157
hence, AB= 12.529
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The volume of right circular cylinder A is 22 cubic
centimeters. What is the volume, in cubic
centimeters, of a right circular cylinder with twice the
radius and half the height of cylinder A?
A) 11
B) 22
C) 44
D) 66
Answer:
44
Step-by-step explanation:
we know that
[volume of right circular cylinder]=pi*r²*h
Vo=pi*r²*h--------------> original volume
Vo= 22 cm³
if twice the radius and half the height
r1=2*r
h1=h/2
then
V1=pi*ri²*h1
substituting
V1=pi*(2*r)² *(h/2)----------->V1= pi*4*r² *h/2-----------> V1=2*pi*r² *h
V1=2*[pi*r² *h]------------> V1=2Vo
V1=2*22=44 cm³
Use the diagram to identify the special angle pairs. ADC and BDC are . A pair of complementary angles is angles .
Answer:
[tex]\angle ADC$ and \angle BDC$ are supplementary.[/tex]A pair of complementary angles is angles ACD and DCB.Step-by-step explanation:
Definitions
Two or more angles are supplementary if they add up to 180 degrees.Two or more angles are complementary if they add up to 90 degrees.In the diagram which is attached below:
Angles ADC are BDC are on a straight line, and they add up to 180 degrees.
Therefore:
[tex]\angle ADC$ and \angle BDC$ are supplementary.[/tex]
Furthermore,
[tex]\angle ACB$ is a right angle.\\\angle ACB=\angle ACD+\angle DCB\\$Therefore, \angle ACD$ and \angle DCB$ are complementary.[/tex]
A pair of complementary angles is angles ACD and DCB.
Answer:
Supplementary
ACD & BCD
Step-by-step explanation:
Find the equation of the line
Answer:
y = -2x + 9
Step-by-step explanation:
The slope of the line can be found from 2 points.
(y2-y1)/(x2-x1)
7-3/1-3
4/-2
= -2
-2 is the slope.
The y-intercept is 9.
The equation of a line is y=mx+b.
m is the slope, and b is the y-intercept.
y = -2x + 9
and the answer has to be in cm squared.
Can anyone plz help ASAP
Answer:
20 cm^2Solution,
Area of given figure=(1*1)*5
=5 cm^2
Area after enlargement factor of 2
=5*2*2
=10*2
=20 cm^2
hope this helps .....Good luck on your assignment.....
Answer:
Area = 10 cm²
Step-by-step explanation:
Area of the Figure:
=> Area = 5 cm²
Area of the figure after scale factor of 2:
=> Area = 5×2
=> Area = 10 cm²
Example 12. x, y, and = are the measures of the angles shown in the figure. The sum of y
and - in terms of x is:
A.2x B. 90° + x C.180º – X D. 180° – 2x E. 90° – x
11111111111111111111
Write 2^60 the expression as a exponent with the base of: 32
Answer:
2^60 = (2^5)^(60/5) = 32^12
Step-by-step explanation:
Using the laws of exponents,
a^(b^c) = (ab)^c
So
2^60 = (2^5)^(60/5) = 32^12 = 1152921504606846976
With base 32 we can write 2⁶⁰ as (32)¹².
What is exponent?
An exponent refers to the number of times a number is multiplied by itself.
Given is the base 2 with exponent 60.
We have 2 raised to the power of 60. Suppose that -
A = 2⁶⁰
In this -
base = 2
exponent = 60
Now, 2⁶⁰ can be written as -
2⁵ x 2⁵ x 2⁵ x ....
To find the number of times we have to multiply 2⁵ with itself divide 60 by 5 we get 12. Now -
2⁵ = 32
So we can write -
32 x 32 x 32 x .... x 32 [12 times]
(32)¹²
Therefore, with base 32 we can write 2⁶⁰ as (32)¹².
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A point Q is 24 km away and at a bearing of 072 degrees from P. From Q a man walks at a bearing of 320 degrees, to a point R, located directly north of P. Calculate the distance of PR and QR.
Answer:
RQ=35.51 km
PR=34.62 km
Step-by-step explanation:
Bearing of Q from P = 72 degrees
The complementary angle of 72 degrees is 18 degrees.Using alternate angles, we get the first angle at Q to be 18 degrees.Bearing of R from Q=320 degrees
320=270+50
Therefore, the second angle of Q is 50 degrees.
[tex]\angle P=72^\circ\\\angle Q=68^\circ\\\angle R=180^\circ-(72^\circ+68^\circ)=40^\circ[/tex]
Using Law of Sines
[tex]\dfrac{r}{\sin R} =\dfrac{p}{\sin P} \\\dfrac{24}{\sin 40} =\dfrac{p}{\sin 72} \\p=\sin 72 \times \dfrac{24}{\sin 40}\\\\p=RQ=35.51$ km[/tex]
Using Law of Sines
[tex]\dfrac{q}{\sin Q} =\dfrac{r}{\sin R} \\\dfrac{q}{\sin 68} =\dfrac{24}{\sin 40} \\q=\dfrac{24}{\sin 40}\times \sin 68\\\\q=PR=34.62$ km[/tex]
Angles A and B are the acute angles of a right triangle. If the tangent of A is 2.1445, the angle B measures
Answer:
Answer is 25°
Step-by-step explanation:
let me know if you got it correct
Can I get help with this?
Answer:
BC = 38
Step-by-step explanation:
Central Angle = Intercepted Arc
BC = 38
Which relationships have the same constant of proportionality between yyy and xxx as the equation 3y=27x3y=27x3, y, equals, 27, x?
Choose 3 answers:
Choose 3 answers:
(Choice A)
A
y=9xy=9xy, equals, 9, x
(Choice B)
B
2y=18x2y=18x2, y, equals, 18, x
(Choice C)
C
pls answer as fast as u can
Answer:
3,12,15
Step-by-step explanation:
caculator
Identify an equation in point-slope form for the line parallel to y =
- 3x-2
that
passes through (-3,-2).
Answer:
y = -3x - 11
Step-by-step explanation:
Parallel is the same slope.
y = -3x + b
-2 = 9 + b
b = -11
y = -3x - 11
Answer:
y = -3x - 11
Step-by-step explanation:
Click on the graph until the graph of a line with undefined slope appears.
Answer:
option 2
Step-by-step explanation:
The only kinds of lines with undefined slopes are vertical lines.
Answer:
The second graph.
Step-by-step explanation:
A vertical line has undefined slope so it is the second graph.
10. Determine whether y = 4x + 5 and y = 1/4x-2 are perpendicular.
(a^3)^2 x a^5 will mark as brainliest
Answer:
[tex]a^{11}[/tex]
Step-by-step explanation:
When you exponent an exponent, you multiply the 2 exponents together:
(a³)² = [tex]a^{6}[/tex]
When you multiply an exponent to another exponent, you add:
[tex]a^{6}(a^{5}) = a^{11}[/tex]
Find the total surface area of this triangular prism
Answer:
I got 936 cm² as an answer
I hope it right
I hope it helps
The total surface area of the given triangular prism is 936 cm².
What is Triangular Prism?Triangular prism is a three dimensional object which has three rectangular sides and two triangular bases.
So it has three side faces and two base faces.
Triangular prism has two triangular sides and three rectangular sides.
Area of one triangular side = 1/2 bh, where b is the base and h is the height.
Area of two triangular sides = 2 × 1/2 b h = b h
= 24 × 18
= 432 cm²
Area of a rectangular side = l b, where l is length and b is breadth.
Area of one rectangular side = 30 × 7 = 210 cm²
Area of second rectangular side = 24 × 7 = 168 cm²
Area of third rectangular side = 18 × 7 = 126 cm²
Total surface area = 432 cm² + 210 cm² + 168 cm² + 126 cm²
= 936 cm²
Hence the total surface area of the triangular prism is 936 cm².
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Pleaseeee help❤️I would appreciate itttt
Answer:
The correct option are;
i) The line segment must connect an _1_ (open) circle at point B to an _1_ (open) circle at point D.
ii) The line segment must connect an _1_ (open) circle at point B to a _2_ (closed) circle at point C
Step-by-step explanation:
The parameters given are;
Domain: [tex]\{x|-4<x\leq 4, x \in R \}[/tex]
Range: [tex]\{y|-4\leq y< 4, y \in R \}[/tex]
Given that to indicate less than (<) on a graph of an inequality, we draw an circle over the point in reference while to indicate less than or equal to (≤) we draw an circle over the point in reference and shade the point, therefore we have;
Given that x > -4, and ≤ 4, the points B and C satisfies the conditions
Given that the y-coordinates are y ≥ -4, and y < 4, the points D and C satisfies the conditions
Where:
Point B = (4, 4) satisfies x only
Point C = (4, -4) satisfies x and y
Point D = (-4, -4) satisfies y only
Therefore, in order to draw a line segment between two points;
i) The line segment must connect an _1_ (open) circle at point B to an _1_ (open) circle at point D.
ii) The line segment must connect an _1_ (open) circle at point B to a _2_ (closed) circle at point C.
Write 14/√2 + √50 in the form b√2 where b is an integer.
Answer:
[tex]12 \sqrt{2} [/tex]
Step-by-step explanation:
Taking the terms one at a time,
[tex] \frac{14}{ \sqrt{2} } \\ \frac{14 * \sqrt{2} }{ \sqrt{2} * \sqrt{2} } \\ \frac{14 \sqrt{2} }{2} \\ 7 \sqrt{2} [/tex]
[tex] \sqrt{50} \\ \sqrt{25 * 2} \\ \sqrt{25}* \sqrt{2} \\ 5 * \sqrt{2} \\ 5 \sqrt{2} [/tex]
Adding the terms, you have;
[tex]7 \sqrt{2} + 5 \sqrt{2} =(7 + 5) \sqrt{2} = 12 \sqrt{2} [/tex]
Hope it helps!
I'm out!
Answer:
12
Step-by-step explanation:
14/√2 +√50= 14*√2/√2*√2+ √25*2= 7√2+5√2= 12√2
12√2= b√2
b=12
given that the number 33554432 is equal to 2^25, explain how you know that 33554432 is not a square number
Answer:
25 is not an even number so 2^25 will not be a perfect square number
Step-by-step explanation:
This question is based on squares. Therefore, 33554432 is not equal to [tex]\bold{2^{25}}[/tex] and not a perfect square.
Given that:
The number 33554432 is equal to [tex]\bold{2^{25}}[/tex].
We need to determined that 33554432 is not a square number.
As we know that,
Even power of 2 gives a perfect square.
For example,
[tex]2^{2} =4\\2^{4} =16\\2^{6}= 64[/tex] ....
Therefore, in given question the power of 2 is odd that is 25.So, we conclude that given number that is 33554432 is not a perfect square.
Hence, 33554432 is not equal to [tex]\bold{2^{25}}[/tex] and not a perfect square.
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pls answwer and u will get branliest
Answer:
x = 48 degrees
Step-by-step explanation:
=> x = 180-132 (angles on a straight line add up to 180 degrees so we'll subtract the other angle from 180 to get x)
=> x = 48 degrees
Answer:
48°
Step-by-step explanation:
[tex]132 \degree + x = 180 \degree...(linear \: pair \: \angle) \\ x =180 \degree - 132 \degree \\ \huge \red { \boxed{ x =48 \degree}}[/tex]
I WILL MARK FIRST BRAINLIEST! I leave a thanks too! 0 = -2x^2 - 7x -1 Solve using quadratic formula PLEASEEEEEE I need the answer in radical form
Here,
2x^2 + 7x + 1 = 0
given,
a = 2
b = 7
and c = 1
From formula,
x = (-b+-√b^2-4ac) / 2a.
We get,
x = -7/4 ± √(41)/4 Ans.
Harry is 2 years older than Jan.
Mary is 1 year younger than Butch.
Luis is 4 years older than Harry.
Mary is 5 years older than Jan.
How much older is Luis than Jan?
Answer:
6 years older than jan
Step-by-step explanation:
me pueden ayudar en esta ecuación bicuadratica, porfaaa: 9p⁴=—12x²—6/9
Answer:
x = -1.129i, -0.241i, 0.241i o 1.129i.
Tenga en cuenta que i = √(-1), i es el representante de un número complejo.
x = -1.129i, -0.241i, 0.241i or 1.129i.
Note that i = √(-1), i is the representative of a complex number.
Step-by-step explanation:
Pregunta correcta
¿Me pueden ayudar en esta ecuación biquadratica, por favor: 9x⁴ = —12x² - 6/9
Solución
9x⁴ = —12x² - 6/9
9x⁴ + 12x² + 6/9 = 0
multiplicar por 9
81x⁴ + 108x² + 6 = 0
Deje x² = y, entonces x⁴ = y²
81y² + 108y + 6 = 0
Resolviendo esta ecuación cuadrática
y = -0.0581 o y = -1.275
Recordemos, x² = y
x = ±√y
Si y = -0.0581
x = ± √(-0.0581) = ± 0.241i = 0.241i o -0.241i
Si y = -1.275
x = ± √(-1.275) = ± 1.129i = 1.129i o -1.129i
x = -1.129i, -0.241i, 0.241i o 1.129i.
Tenga en cuenta que i = √(-1), i es el representante de un número complejo.
¡¡¡Espero que esto ayude!!!
Correct Question
Can you help me in this biquadratic equation, please: 9x⁴ = —12x² — 6/9
Solution
9x⁴ = —12x² — 6/9
9x⁴ + 12x² + 6/9 = 0
multiply through by 9
81x⁴ + 108x² + 6 = 0
Let x² = y, then x⁴ = y²
81y² + 108y + 6 = 0
Solving this quadratic equation
y = -0.0581 or y = -1.275
Recall, x² = y
x = ±√y
If y = 0.0581
x = ±√(-0.0581) = ±0.241
If y = -1.275
x = ± √(-1.275) = ± 1.129i = 1.129i or -1.129i
Hence x = -1.129i, -0.241i, 0.241i or 1.129i.
Note that i = √(-1), i is the representative of a complex number.
Hope this Helps!!
