This system has one solution y=8x+9, y=x^2+4x+13. What is the y coordinate
y=8x+9<= y=8x+9 <== 8x+9: m=8
y=x^2+4x+13<= y <==x^2+4x+13: minimum (-2,9)
y=8x+9 and y.No solution
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
is reflexive. - The length of the base of the triangle is the same, i.e.,
. - In order to prove the triangles congruent using the SAS congruence postulate, we need the other information, namely
. Thus we get ∠ACB = ∠ACD = 90°.
Conclusions for the SAS Congruent Postulate from this problem:

- ∠ACB = ∠ACD

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The following is not other or additional information along with the reasons.
- ∠CBA = ∠CDA no, because that is AAS with ∠ACB = ∠ACD and

- ∠BAC = ∠DAC no, because that is ASA with
and ∠ACB = ∠ACD.
no, because already marked.
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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>
- Which shows two triangles that are congruent by ASA? brainly.com/question/8876876
- Which shows two triangles that are congruent by AAS brainly.com/question/3767125
- About vertical and supplementary angles brainly.com/question/13096411
<h3>Answer</h3>
Page No 7.13:
Question 1:
Add the following:
(i) 3x and 7x
(ii) −5xy and 9xy
ANSWER:
We have
(i) 3x + 7x = (3 + 7)x = 10x
(ii) -5xy + 9xy = ( -5 + 9)xy = 4xy
Answer:
Step-by-step explanation:
Bringing like terms on one side
22x - 10x = 15 + 33
12x = 48
x = 48/12
x = 4