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oksian1 [2.3K]
3 years ago
6

G(x) = x2 + x - 2 Find g(x - 3)

Mathematics
1 answer:
Effectus [21]3 years ago
3 0

Answer:

x^2-5x+4

Step-by-step explanation:

(x-3)^2+(x-3)-2

x^2-3x-3x+9+x-3-2

x^2-6x+9+x-5

x^2-5x+9-5

x^2-5x+4

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The following is a rhombus, solve for x
lorasvet [3.4K]

Answer:

maybe since the rhombus is divided into triangles it'll be easier. x = 8

Step-by-step explanation:

the total degrees in a triangle would be 180 and the inner little angles would be 90 degrees so you would solve for (7x - 1) + (4x + 3) + 90 = 180 so 11x + 2 = 90 so 11x = 88 so x = 8

hope this helps!

7 0
2 years ago
What other information do you need in order to prove the triangles congruent using the SAS congruence postulate
iren [92.7K]

AC is perpendicular to BD.

<h3>Further explanation</h3>
  • We observe that both the ABC triangle and the ADC triangle have the same AC side length. Therefore we know that \boxed{ \ \overline{AC} \cong \overline{AC} \ } is reflexive.
  • The length of the base of the triangle is the same, i.e., \boxed{ \ \overline{BC} = \overline{CD} \ }.
  • In order to prove the triangles congruent using the SAS congruence postulate, we need the other information, namely \boxed{ \ AC \bot BD \ }. Thus we get ∠ACB = ∠ACD = 90°.

Conclusions for the SAS Congruent Postulate from this problem:

  • \boxed{ \ \overline{BC} = \overline{CD} \ }
  • ∠ACB = ∠ACD
  • \boxed{ \ \overline{AC} = \overline{AC} \ }

- - - - - - - - - -

The following is not other or additional information along with the reasons.

  • ∠CBA = ∠CDA no, because that is AAS with ∠ACB = ∠ACD and \boxed{ \ \overline{AC} \cong \overline{AC} \ }
  • ∠BAC = ∠DAC no, because that is ASA with \boxed{ \ \overline{AC} \cong \overline{AC} \ } and ∠ACB = ∠ACD.
  • \boxed{ \ \overline{BC} = \overline{CD} \ } no, because already marked.

- - - - - - - - - -

Notes

  • The SAS (Side-Angle-Side) postulate for the congruent triangles: two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle; the included angle properly represents the angle formed by two sides.
  • The ASA (Angle-Side-Angle) postulate for the congruent triangles: two angles and the included side of one triangle are congruent to two angles and the included side of another triangle; the included side properly represents the side between the vertices of the two angles.  
  • The SSS (Side-Side-Side) postulate for the congruent triangles: all three sides in one triangle are congruent to the corresponding sides within the other.
  • The AAS (Angle-Angle-Side) postulate for the congruent triangles: two pairs of corresponding angles and a pair of opposite sides are equal in both triangles.  
<h3>Learn more</h3>
  1. Which shows two triangles that are congruent by ASA?  brainly.com/question/8876876  
  2. Which shows two triangles that are congruent by AAS brainly.com/question/3767125
  3. About vertical and supplementary angles brainly.com/question/13096411  
9 0
3 years ago
Read 2 more answers
A circle passes through (3, -1) , (-2, 4) , and (6, 8)
Dominik [7]

fffffffffff ffffffffffff ffffffffffffff ffffffffffff fffffffffff fffffffffffffffff

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Can someone please answer the attachment​
dexar [7]

Step-by-step explanation:

linear pair

linear pair

alternate angles.

alternate angles

cointerior angles

I will hope that you like my answer

4 0
2 years ago
Strawberries cost $21.25 for 4 pounds. Find the unit rate. Round to the nearest cent if necessary.
gizmo_the_mogwai [7]

Answer:

$5.31/lb

Step-by-step explanation:

Since 4 pounds cost $21.25, 1 pound of strawberries will cost 21.25 / 4 ≈ 5.31, therefore, the unit rate is $5.31/lb.

3 0
3 years ago
Read 2 more answers
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