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2 years ago

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

Mathematics

1 answer:

Shalnov [3]2 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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F(x) = 2/5x + 24 what is the value of x when f(x) =25

dybincka [34]

Answer:

exact form: 5/2

decimal form: 2.5

mixed number form: 2 2/1

Step-by-step explanation:

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2 years ago

Solve the quadratic. x^2+8x+3=0

Reil [10]

Factor
find wht 2 numbers add to 8 and multiply to 3
none do

use quadratic formula which can be used when
ax^2+bx+c=0
x= $\frac{-b+/- \sqrt{b^{2}}-4ac }{2a}$

a=1
b=8
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x= $\frac{-8+/- \sqrt{8^{2}-4(1)(3)} }{2(1)}$
x= $\frac{ -8+/- \sqrt{64-12} }{2}$
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6 0

2 years ago

Read 2 more answers

Given that 3 x : 10 = 5 : 2 Calculate the value of x .

borishaifa [10]

$\tt{ 3x:10=5:2 }$ ⠀

$\tt{\dfrac{3x}{10}=\dfrac{5}{2} }$ ⠀

$\tt{3x×2=10×5 }$ ⠀

$\tt{6x=50 }$ ⠀

$\tt{x=\dfrac{50}{6} }$ ⠀

$\tt{ x=\dfrac{25}{3}}$ ⠀

7 0

2 years ago

Suppose you invest 16000 at 9% interest and that it is compounded daily. How much will you have in 8 years?

forsale [732]

Answer:

Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one.

Step-by-step explanation:

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3 years ago

What percent of 146 is 39

marissa [1.9K]

Answer:

Step-by-step explanation:

Percentage solution with steps:

Step 1: We make the assumption that 146 is 100% since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that 100% = 146.

Step 4: In the same vein, x% = 39.

Step 5: This gives us a pair of simple equations:

100% = 146(1).

x%=39(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS (left hand side) of both equations have the same unit (%); we have

100/x% = 146/39

Step 7: Taking the inverse (or reciprocal) of both sides yields

x% / 100% = 39/146 ⇒ x= 26.71%

Therefore, 39 is 26.71% of 146.

<em>hope it helps:)</em>

7 0

3 years ago