Answer: x = -1 and y = 9
The two equations are:
-9x + 2y = 23
-4x -y = -3
Now find for x in the first equation...
-9x + 2y = 23
-9x = 23 - 2y
x = (23 - 2y)/-9
Now place this value of x in the second equation and find for y...
-4{(23-2y)/-9} - y = -3
-92 + 8y + 9y = -3 * -9
17y = 27 + 92
y = 119/17
y = 7
Now place the value of y in the first equation," -9x + 2y = 23 " and find x
-9x + 2*7 = 23
-9x + 14 = 23
-9x = 23-14
x = 9/-9
x = -1
There you go! Hope it helps
<h2>૮꒰ ˶• ༝ •˶꒱ა
</h2><h2>./づᡕᠵ᠊ᡃ࡚ࠢ࠘ ⸝່ࠡࠣ᠊߯᠆ࠣ࠘ᡁࠣ࠘᠊᠊°
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i shoot u >:(
<h2>
</h2><h2>૮꒰ ˶> ༝ <˶꒱ა
</h2><h2>./づᡕᠵ᠊ᡃ࡚ࠢ࠘ ⸝່ࠡࠣ᠊߯᠆ࠣ࠘ᡁࠣ࠘᠊᠊°.~♡︎
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with love tho-
Answer:
The measures of each would be:
105° and 75°
Step-by-step explanation:
Supplementary angles are two angles whose measures sum up to 180° or they form a straight line.
So if an angle measures 30° less than the measure of its supplementary, it wold mean that both angles together is equal to 180°.
∠1 = x
∠2 = x-30°
∠1 + ∠2 = 180°
So here we plug in our equations:
∠1 + ∠2 = 180°
x + x - 30° = 180°
2x - 30° = 180°
We solve for the x then:
Add 30° on both sides of the equation:
2x - 30° + 30° = 180° + 30°
2x = 210°
Divide both sides by 2:
2x/2 = 210°/2
x = 105°
∠1 = 105°
Now we solve for the second angle:
∠1 + ∠2 = 180°
105° + ∠2 = 180°
Subtract 105° from both sides of the equation:
105° + ∠2 - 105° = 180° - 105°
∠2 = 75°
7/25 Is 21/75 in simplest form since 7 is a prime number it can't go any further.
Answer:189 students are there
Step-by-step explanation:252 divided by 4 equals 63, 63 x 3 equals 189
Answer:
∠ ABC = ∠ DBE = 65°
∠ ABD = ∠ CBE = 115°
Step-by-step explanation:
See the diagram attached to this question.
Now, ∠ ABC and ∠ DBE are two vertically opposite angles.
So, 3x + 38 = 5x + 20
⇒ 2x = 18
⇒ x = 9
So, ∠ ABC = ∠ DBE = 3(9) + 38 = 65° (Answer)
Again, ∠ ABC and ∠ ABD are supplementary angles.
Then, ∠ ABC + ∠ ABD = 180°
⇒ ∠ ABD = 180° - 65° = 115°
And ∠ ABD = ∠ CBE {Vertically opposite angles}
So, ∠ ABD = ∠ CBE = 115° (Answer)