MATHEMATICS HIGH SCHOOL

In this figure, AFC=EFC. Which statement must be true?a) AD Perpendicular EB
b) EB Perpendicular CA
c) AD Perpendicular CE
d) CF Perpendicular AE
In this figure, AFC=EFC. Which statement must be true? a) - 1

Answers

Answer 1
Answer:

Answer:

The statement is true is  CF Perpendicular AE .

Option (d) is correct.

Step-by-step explanation:

As given

∠AFC = ∠EFC

Let us assume that the measure of ∠AFC be x.

Thus

∠AFC = ∠EFC = x

As

∠AFC + ∠EFC =  180°  (By Linear pair property)

x + x = 180°

2x = 180°

x = (180)/(2)

x = 90°

Thus

∠AFC = ∠EFC = 90°

Therefore CF is perpendicular to AE .

Option (d) is correct.
Answer 2
Answer: The answer is D, because AFC=EFC the CF is perpendicular to AE

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the radius and height of a cylinder are in the ratio 5:7.if it's volume is 4400cm cube, find the radius of the cylinder

Answers

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A store buys shoes for $40, then sells them to customers for $160. What is the percent mark-up for the price of the shoes?

Answers

Answer:

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Which sequence of transformations carries ABCD onto HGFE

Answers

Answer:

The correct option is D.

Step-by-step explanation:

It is given that the after transformation figure ABCD onto HGFE. It means HGFE is image of ABCD after transformation.

From the figure it is noticed that A(2,-1) and H(-6,1).

Rotation of 90 degree clockwise about the origin followed by the reflection across the x-axis is expressed as

(x,y)\rightarrow (y,-x)\rightarrow (y,x)

Therefore the image of A(2,-1) is (-1,2), which are not the coordinates of H. Option A is incorrect.

Translation 3 unit up followed by the reflection across the y-axis is expressed as

(x,y)\rightarrow (x,y+3)\rightarrow (-x,y+3)

Therefore the image of A(2,-1) is (-2,2), which are not the coordinates of H. Option B is incorrect.

Reflection across the x-axis followed by rotation of 90 degree counterclockwise about the origin is expressed as

(x,y)\rightarrow (x,-y)\rightarrow (y,x)

Therefore the image of A(2,-1) is (-1,2), which are not the coordinates of H. Option C is incorrect.

Translation 8 unit left followed by reflection across the x-axis is expressed as

(x,y)\rightarrow (x-8,y)\rightarrow (x-8,-y)

Therefore the image of A(2,-1) is (-6,1), which are the coordinates of H. Option D is correct.
If you look closely at the options, the first 3 options will not produce an image that will be in Quadrant II with the vertices coinciding HGFE.
But if you look at the 4th option, translating the points 8 units to the left will produce an image in Quadrant III. Reflecting the image across the x-axis will produce triangle HGFE.

What is the next in the sequence 2 6 3 8 6 12

Answers

The correct answer is: 11

Explanation:
There are two series in the given sequence:

Series-1:
2 3 6 x

Where x represents the number we need to find.

Series-2:
6 8 12

The following pattern is seen in the Series-2:
6 + 2 = 8
8 + 4 = 12

Meaning the additive has the incremental increase of 2 [Like 2, 4, 6, 8 ...].

Likewise,
In Series-1, the following pattern is shown [1,3,5,7...]:
2 + 1 = 3
3 + 3 = 6
6 + 5 = 11

Hence the correct answer is 11.
11
As you can see, the pattern is subsequently +4, -3, +5, -2, +6, -1 etc.
So, according to this, next sequence should be 12-1=11

Plsss help me I need this paper by tomorrow

Answers

Ok one min..............

Answer:

rise over run

Step-by-step explanation:

rise: 5

run: 6

5/6 i think

What is the equation of the line, in standard form, that passes through (4, -3) and is parallel to the line whose equation is 4x + y - 2 = 0?

Answers

in ax+by=c form
slope=-a/b

a paralel line has same slope
4x+y-2=0
4x+1y=2
slope=-4/1=-4

therefor the other line has to have a slopt of -4

y=mx+b
m=slope
b=y intercept
slope=-4
y=-4x+b
input a point tha we ar given (4,-3)
x=4
y=-3
-3=-4(4)+b
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add 16
13=b
y=-4x+13
get to ax+by=c form
add 4y both sides
4x+y=13 is the euation
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