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Naily [24]
3 years ago
13

Can someone help me with this two column proofs? -this one is confusing to me

Mathematics
1 answer:
Shalnov [3]3 years ago
6 0

Perpendicular bisectors have a particular property: if AB is a perpendicular bisector of CD, then every point lying on AB has the same distance from C and D.

In your case, we have that every point lying on AC has the same distance from B and D.

So, in particular, we have EB=ED, because E lies on AC.

Moreover, since AC is a perpendicular bisector, it is the height of the triangle (if we choose BD as base), and it bisects BD: this means that the triangle is isosceles, so AD=AB.

This means that triangles ABE and ADE have:

  • AD=AB because ABD is isosceles
  • EB=ED because AC is the perpendicular bisector of BD
  • AE in common

So, their sides are all equal, and thus they are congruent.

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How do you solve f(x) ?
Talja [164]
F (x) = 2x + 3; find f (–1)" (pronounced as "f-of-x equals 2x plus three; find f-of-negative-one"). In either notation, you do exactly the same thing: you plug –1 in for x, multiply by the 2, and then add in the 3, simplifying to get a final value of +1
8 0
3 years ago
Mr. Johnson currently has a square garden. He wants to redesign his garden and make it into a rectangle with a length that is 5
AlekseyPX

Answer:

Width of the rectangle = 10 feet

Length of the rectangle = 25 feet

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Let

Width of the rectangle = x feet

Length of the rectangle = 3x - 5 feet

Perimeter of the rectangle = 70 feet

Perimeter of a rectangle = 2(length + width)

70 = 2{x + (3x - 5)}

70 = 2{x + 3x - 5}

70 = 2(4x - 5)

70 = 8x - 10

70 + 10 = 8x

80 = 8x

Divide both sides by 8

x = 80 / 8

= 10

Width of the rectangle = 10 feet

Length of the rectangle = 3(10) - 5

= 30 - 5

= 25 feet

6 0
2 years ago
42=Wf×64 (what fraction)
Dmitry [639]
So basically 42=x times 64 or 42=64x where you want x to be represented as a fraction so just don't simplify as much

42=64x
divide both sdies by 64
42/64=64/64x
42/64=1x
x=42/64
simplify
42/64=21/32

the answer is 21/32 in simplest form
7 0
3 years ago
Jasmine has to mix 3/4 cup of flour and 3/8 cup of cornmeal she has a container that holds 1 cup can jasmine mix the flour and c
Sladkaya [172]
Because 3/4 and 3/8 is more than one cup, Jasmine will not be able to mix the flour and the cornmeal in the container.

3/4+3/8=6/8+3/8=9/8
5 0
2 years ago
Read 2 more answers
Plz HELP! WILL GIVE BRAINLIEST!<br><br>1. Consider the picture below. Find the measure of ∠CEA.
pashok25 [27]

Answer:

  103°

Step-by-step explanation:

The marked angles have the same measure, so ...

  14x+7 = 12x +17

  2x = 10 . . . . . subtract 12x+7

  x = 5 . . . . . . . divide by 2

  (14x +7)° = 77°

∠CEA is supplementary to the marked angles:

  ∠CEA = 180° -77°

  ∠CEA = 103°

4 0
3 years ago
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