First you make -1 and 3/4 have a common denominator. 1 has a fraction of 1/1 so times four it is 4/4. Then you add on both sides in order to isolate x and you get 3/10x = 7/4.
Then you isolate x by multyiplying the reciprocal of 3/10 on both sides, 10/3.
3/10 and 10/3 cancel out and you get an answer of x = 70/4.
You could then simplify it to get 35/6 by finding a greasted common multiple of 12 and 70 which is 2 and dividing both by 2 to get a simpilier answer.
So the answer is x = 35/6
Step-by-step explanation:
<u>Statements Reasons </u>
1 . ∠ABC and ∠CBD are a linear pair Given
2. m∠CBD = m∠EFG Given
3 . ∠ABC and ∠CBD are supplementary Definition of linear pair
4. m∠ABC + m∠CBD = 180° Definition of supplementary
5. m∠ABC + m∠EFG = 180° Substitution property
6. ∠ABC and ∠CBD are supplementary Definition of supplementary
Answer:
$111400
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 5.7%/100 = 0.057 per year,
then, solving our equation
I = 100000 × 0.057 × 2 = 11400
I = $ 11,400.00
The simple interest accumulated
on a principal of $ 100,000.00
at a rate of 5.7% per year
for 2 years is $ 11,400.00.
The interior angles of a 9-agon add up to (9 -2)*180° = 1260°. The sum of the given angles is
.. 1139° +x° = 1260°
.. x = 1260 -1139 = 121
The missing angle measure is 121°.
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The supplement of each interior angle is its corresponding exterior angle. The sum of exterior angles of any convex polygon is always 360°. Another way to approach this problem is to add the exterior angles.
