MATHEMATICS HIGH SCHOOL

What is the value of the x variable in the solution to the following system of equations? 3x + 2y = 8
2x + 3y = 2

4
−2
x can be any number as there are infinitely many solutions to this system
There is no x value as there is no solution to this system

Answers

Answer 1
Answer: (3x + 2y = 8)X-3
-9x -6y = -18

(2x + 3y =2)X2


-9x -6y = -18
4x + 6y = 4
------------------
-5x + 0 = -14
-5x = -14
x = 14/5

If you wanted to find y
2y = 8 - 3(x) 
2y = 8 - 3(14/5)
2y = -0.4
y = -0.2

I know this is a bit confusing, let me know if you need help :) also i hope this answered your question, sorry if it didn't xx

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If y is 9 and x is 12, what additional information is necessary to show that triangle DUM is congruent to triangle MAP using the SAS postulate?

Answers

                         Δ DUM         Δ MAP

hypotenuse:      15                2y-3
short leg:             12                0.5x + 6

y = 9 ⇒ 2(9) - 3 = 18 - 3 = 15 Congruent with the hypotenuse of Δ DUM
x = 12 ⇒ 0.5(12) + 6 = 6 + 6 = 12 Congruent with the short leg of Δ DUM

SAS postulate states that two triangles are congruent if 2 of its sides and 1 angle have equal measure. Both the hypotenuse and short leg are equal in measure. Thus, both triangles are congruent with each other.

Answer: DM is congruent to PM

Step-by-step explanation: TOOK QUIZ!!!

!50 POINTS! (1 SIMPLE GEOMETRY QUESTION)

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Answers

Answer:

x= 40.33

Step-by-step explanation:

In geometry, alternate exterior angles are a pair of angles that are on the outer side of two parallel lines but on opposite sides of the transversal. In other words, they are the angles that are not on the same line as the parallel lines.

The alternate exterior angles are always equal in measure. This is because when a transversal intersects two parallel lines, it creates two pairs of alternate exterior angles, and each pair of angles is supplementary to each other (meaning that their measures add up to 180 degrees).

In this case:

a° = b°

Since,, the alternate exterior angles are always equal in measure.

3x+17 = 138

subtracting 17 on both sides

3x + 17-17 = 138-17

3x = 121

dividing both sides by 3.

(3x)/(3) = (121)/(3)

\sf x \approx 40.33

The value of x is 40.33 which  proves that r is parallel to s.

Answer:

c)  40.3

\hrulefill

Step-by-step explanation:

According to the Alternate Exterior Angles Theorem, when two parallel lines are intersected by a transversal, the angles that are exterior to the parallel lines and on the alternate sides of the transversal are congruent.

Therefore, if lines r and s are parallel, then a° = b°.

To find the value of x that proves line r is parallel to line s, solve a° = b° for x.

\begin{aligned}a^(\circ)&=b^(\circ)\n\n3x+17&=138\n\n3x+17-17&=138-17\n\n3x&=121\n\n(3x)/(3)&=(121)/(3)\n\nx&=40.33333....\n\nx&=40.3\; \sf (nearest\;tenth)\end{aligned}

Therefore, the value x that proves line r is parallel to line s is:

\Large\boxed{x=40.3}

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Answers

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I need help

Answers

Answer:

the answer =7/6

=1.1666666667

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