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Alenkasestr [34]
3 years ago
6

PLEASE HELP! 20 POINTS!!

Mathematics
1 answer:
ioda3 years ago
3 0

Answer:

X = 8

Step-by-step explanation:

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Solve x2 − 8x + 5 = 0 using the completing-the-square method. (2 points)
RoseWind [281]

Answer:

x = 4 +  \sqrt{11},  \:  \: x = 4 -  \sqrt{11}

Step-by-step explanation:

{x}^{2}  -8x + 5 = 0 \\  \\  {x}^{2}  - 8x +  {4}^{2}  =  - 5 +  {4}^{2}  \\  \\  {(x - 4)}^{2}  =  - 5 + 16 \\  \\  {(x - 4)}^{2}  = 11 \\  \\ x - 4 =   \pm \sqrt{11}  \\  \\ x = 4 \pm \sqrt{11}  \\  \\ x = 4 +  \sqrt{11}, \:  \: x = 4 -  \sqrt{11}

8 0
2 years ago
Since it is given that AB ≅ AC, it must also be true that AB = AC. Assume ∠B and ∠C are not congruent. Then the measure of one a
BartSMP [9]

Answer: The required conclusion is

"if in triangle ABC, AB ≅ AC, then ∠B and ∠C must be congruent".

Step-by-step explanation:  Given that in triangle ABC,  AB ≅ AC, implies that AB = AC must be true. We are given to assume ∠B and ∠C are not congruent. Then the measure of one angle is greater than the other.

If m∠B > m∠C, then AC > AB because of the triangle parts relationship theorem.

For the same reason, if m∠B < m∠C, then AC < AB.

This is a contradiction to the given information.

We are to state the conclusion.

Since in the beginning, it is given that AB ≅ AC and we have assumed that ∠B and ∠C are not congruent, so

our assumption must be wrong.

That is, ∠B and ∠C must be congruent.

Thus, the required conclusion is

if in triangle ABC, AB ≅ AC, then ∠B and ∠C must be congruent.

5 0
2 years ago
Read 2 more answers
1 1\4x2 1\5 ≤ ≥ = 5\6 x 2 1\5
ValentinkaMS [17]

Answer:

≥

Step-by-step explanation:

1 1\4x2 1\5 = 2 3/4

5/6 x 2 1/5 = 1 5/6

7 0
2 years ago
I NEED THIS ANSWER NOW! Determine which postulate or theorem can be used to prove that ABC DCB.
Archy [21]
Quick Answer SSS
Proof
AC = DB
AB = DC
BC = BC This side is equal to itself and is common to both triangles.

Three sides of one triangle equal to 3 sides of the other means that the triangles are congruent. It is the Theorem you need.
8 0
2 years ago
Read 2 more answers
What is 3:120 equivalent to
fenix001 [56]
1:40 because if we think of this just like a fraction \frac{3}{120} that simplifys down to \frac{1}{40} and because fraction simplifications are similar (related to each other) we can concur that these would be too.

Enjoy!=)
6 0
3 years ago
Read 2 more answers
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