Answer:
<h3>or infinitely many</h3>
Step-by-step explanation:
simplifying the equation -6x + 8y = 12 dividing by 2 would give us the same equation as
-6 / 2x + 8 / 2y = 12/2
-3x + 4y = 6
Answer:
<h2>b = 15°</h2>
Step-by-step explanation:
If Pq = RQ then ΔPQR is the isosceles triangle. The angles QPR and PRQ have the same measures.
We know: The sum of the measures of the angeles in the triangle is equal 180°. Therefore we have the equation:
m∠QPR + m∠PRQ + m∠RQP = 180°
We have
m∠QPR = m∠PRQ and m∠RQP = 60°
Therefore
2(m∠QPR) + 60° = 180° <em>subtract 60° from both sides</em>
2(m∠QPR) = 120° <em>divide both sides by 2</em>
m∠QPR = 60° and m∠PRQ = 60°
Therefore ΔPRQ is equaliteral.
ΔPSR is isosceles. Therefore ∠SPR and ∠PRS are congruent. Therefore
m∠SPR = m∠PRS
In ΔAPS we have:
m∠SPR + m∠PRS + m∠RSP = 180°
2(m∠SPR) + 90° = 180° <em>subtract 90° from both sides</em>
2(m∠SPR) = 90° <em>divide both sides by 2</em>
m∠SPR = 45° and m∠PRS = 45°
m∠PRQ = m∠PRS + b
Susbtitute:
60° = 45° + b <em>subtract 45° from both sides</em>
15° = b
Answer:
-9 / 14
Step-by-step explanation:
Product means multiply
3/4 x -6/7 = -9 / 14
Answer:
345
Step-by-step explanation:
We can solve this problem by two equations. Our variables will be the following:
is the amount to be multiplied
and 
is the amount that should be obtained by multiplying by 43
Thus our <u>first equation</u> is:
But the problem tells us that there was an error and the number was multiplied by 34, so the result failed by 3105, thus the <u>second equation</u> is as follows:
By multiplying the quantity by 34, an amount is obtained that differs from 3105 from what it would have been obtained if multiplied by 43.
Now we are going to <u>replace the first equation in the second one </u>(
):
And clear to find x:
The number that jimmy was supposed to multiply by 43 is 345.
is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output.
