What should be done to both sides of the equation in order to solve y + 8.5 = 17.2?

Mathematics

2 answers:

Amanda [17]3 years ago

7 0

Answer:

Subtract 8.5

Step-by-step explanation:

To solve the equation, y has to be isolated (only y will be on one side of the equation)

To do this, we have to get rid of the 8.5, so it has to be subtracted from both sides.

So, the correct answer is subtract 8.5

alexgriva [62]3 years ago

4 0

Answer:

<h2>SoluTion :-</h2>

Here we will subtract 8.5

Let see

$\tt \: y + 8.5 = 17.2$

As we know that in an equation

+ => -

$\tt \: y =17.2 - {\bold {\sf \pink {8.5}}}$

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In circle A shown below, Segment BD is a diameter and the measure of Arc CB is 48°:

marshall27 [118]

Answer:

66°

Step-by-step explanation:

See attached picture.

When an angle intercepts an arc, ARC AC, and forms in the center [central angle], the angle has SAME measure as the ARC AC [denoted by x]. When the angle formed is on the opposite side, it has a measure HALF of that ARC AC [denoted $0.5x$ ]

If you look at the problem given, ∠DBC is intercepted by ARC DC and falls in the opposite side of the circle, NOT in the CENTER. Hence ∠DBC has a measure that is HALF of ARC DC.

There are 360 degrees in a circle. ARC DB has 2 endpoints that are the diameter of the circle, so ARC DB has a measure of 180 degrees. Also,

ARC DB = ARC DC + ARC CB

ARC DB = ARC DC + 48

180 = ARC DC + 48

ARC DC = 180 - 48 = 132

Since, ∠DBC = 0.5 * ARC DC, we have:

∠DBC = 0.5 * (132)

∠DBC = 66

Our answer is the second choice of 66°.