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Sphinxa [80]
2 years ago
7

Need help with writing proof for this (Questions 12 and 13)

Mathematics
1 answer:
HACTEHA [7]2 years ago
4 0

Answer:

Step-by-step explanation:

12.

Statements:

1. RS bistecs PQ at T; PQ bisects RS at T.

2. RT is congruent to ST; PT is congruent to QT.

3. Angle T is congruent to angle T.

4. Triangle PTS is congruent to triangle QTR.

Reasons:

1. Given.

2. Definition of a bisector of a line segment.

3. Reflexive Property.

4. SAS Postulate

13.

Statements:

1. AB is congruent to AD; AC bisects angle BAD.

2. Angle BAC is congruent to angle DAC.

3. AC is congruent to AC.

4. Triangle ABC is congruent to triangle ADC.

Reasons:

1. Given.

2. Definition of a bisector of an angle.

3. Reflexive Property.

4. SAS Postulate.

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2x+5y=-3<br>3x-y=21<br>help me
arlik [135]
Problem:
Solve
2
x
+
5
y
=
−
3
;
3
x
−
y
=
21
Steps:
I will try to solve your system of equations.
3
x
−
y
=
21
;
2
x
+
5
y
=
−
3
Step: Solve
3
x
−
y
=
21
for y:
3
x
−
y
+
−
3
x
=
21
+
−
3
x
(Add -3x to both sides)
−
y
=
−
3
x
+
21
−
y
−
1
=
−
3
x
+
21
−
1
(Divide both sides by -1)
y
=
3
x
−
21
Step: Substitute
3
x
−
21
for
y
in
2
x
+
5
y
=
−
3
:
2
x
+
5
y
=
−
3
2
x
+
5
(
3
x
−
21
)
=
−
3
17
x
−
105
=
−
3
(Simplify both sides of the equation)
17
x
−
105
+
105
=
−
3
+
105
(Add 105 to both sides)
17
x
=
102
17
x
17
=
102
17
(Divide both sides by 17)
x
=
6
Step: Substitute
6
for
x
in
y
=
3
x
−
21
:
y
=
3
x
−
21
y
=
(
3
)
(
6
)
−
21
y
=
−
3
(Simplify both sides of the equation)
Answer:
y
=
−
3
and
x
=
6

7 0
3 years ago
So whats the answer.
Neko [114]

Answer:

69

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