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arsen [322]
3 years ago
10

3x - 3(x+1) - 3 Solution for x

Mathematics
1 answer:
sertanlavr [38]3 years ago
7 0

Answer:

-6

Step-by-step explanation:

3x-3(x+1)-3

3x-3x-3-3

-3-3

-6

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Given: \overline{AC} \perp \overline{BD} AC ⊥ BD and \overline{BD} BD bisects \overline{AC}. AC . Prove: \triangle ABD \cong \tr
Fofino [41]

Answer:

The Proof for

△ABD ≅ △CBD is below

Step-by-step explanation:

Given:

\overline{AC} \perp \overline{BD}

\overline{BD} \ bisects\  \overline{AC}

AD = CD      .........BD bisect AC

To Prove:

△ABD ≅ △CBD

Proof:

In  ΔABD  and ΔCBD  

BD ≅ BD              ....……….{Reflexive Property}

∠ADB ≅ ∠CDB    …………..{Measure of each angle is 90°( \overline{AC} \perp \overline{BD} )}

AD ≅ CD              ....……….{ \overline{BD} \ bisects\  \overline{AC} }

ΔABD  ≅ ΔCBD   .......….{By Side-Angle-Side Congruence test}  ...Proved

4 0
3 years ago
A linear function and its inverse are given.
jarptica [38.1K]

Answer:

x: -5,  -3,   0,  1,  4

y:-23, -15, -3, 1, 13        for the function.

x:-23, -15, -3, 1, 13

y: -5,   -3,  0,  1,  4         for the inverse.

Step-by-step explanation:

we know that if we have the function f(x) = y, then the inverse of f(x) (let's call it g(x)) is such that:

g(y) = x.

now we have

y=4x-3

y=(1/4)x+3/4

The only table that works for our first function is:

x: -5,  -3,   0,  1,  4

y:-23, -15, -3, 1, 13

You can see this by replacing the values of x and see if the value of y also coincides.

Then, using the fact that the other table must be for the inverse, we should se a table with the same values, but where the values of x and y are interchanged.

The second table is that one:

x:-23, -15, -3, 1, 13

y: -5,   -3,  0,  1,  4

7 0
3 years ago
Read 2 more answers
You have $250. <br> You spend 45% of that. <br> how much is left?
tekilochka [14]
$137.5 is left from spending 45% of $250
8 0
3 years ago
In the isosceles trapezoid ABCD, find the value of x.
Semenov [28]

Answer:

15

Step-by-step explanation:

3x+15=60

3x=45

x=15

6 0
3 years ago
Anyone know how to do this?! Help!
Paraphin [41]

Given:

Vertical angles.

One angle is 85°.

To find:

The measure of ∠1, ∠2 and ∠3.

Solution:

∠2 and 85° are vertically opposite angles and ∠1 and ∠3 are vertically opposite angles.

Vertical angle theorem:

If two lines are intersecting, then the vertically opposite angles are congruent.

⇒ m∠2 = 85°

Sum of the adjacent angles in a straight line = 180°

m∠2 + m∠3 = 180°

85° + m∠3 = 180°

Subtract 85° from both sides.

85° + m∠3 - 85° = 180° - 85°

m∠3 = 95°

By vertical angle theorem:

⇒ m∠1 = m∠3

⇒ m∠1 = 95°

Therefore m∠1 = 95°, m∠2 = 85° and m∠3 = 95°.

3 0
3 years ago
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