Which equation exemplifies the Associative property of addition?

Mathematics

2 answers:

Irina18 [472]3 years ago

8 0

Answer:

Equation which exemplifies the associative property of addition is:

4+(2+1) = (4+2)+1

Step-by-step explanation:

The associative property of addition says that:

if a,b and c are the three terms

Then,

a+(b+c)=(a+b)+c

which is given in the equation:

4+(2+1) = (4+2)+1

Hence, equation which exemplifies the associative property of addition is:

4+(2+1) = (4+2)+1

Elanso [62]3 years ago

3 0

1) C(2
2) A(-4
3) B(4+(2+1)=4+2)+1
4) D(3(2x4)=(3x2)4
5) A(5+6=6+5
6) C(12x1=1x12
7) D(Exponents
8) A(addition and subtraction
9) A(55
10) B(19

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Za and Zb are complementary angles. Za measures 28<br>What is the measure of Zb?

trasher [3.6K]

Answer:

Zb=62

Step-by-step explanation:

Two angles are complementary when they add up to 90 degrees.

90-28=62

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3 years ago

Solve each triangle using the information provided. If necessary, round to the<br> nearest tenth.

Goryan [66]

Answer:

1) B = 66.5° c = 10.9

Step-by-step explanation:

I will do question one as an example. In general, for these questions you want to use the appropriate trigonometric ratios to solve for the variables and/or apply logic using rules regarding triangles. See attached image for all solving steps.

For side c, we can use Cosine of angle A for a ratio between 10 and c. When we write out the equation, we can solve for side c. So when we write it out, we get the equation:

cos23.5 = ¹⁰⁄c

c = ¹⁰⁄cos₂₃.₅

c = 10.9044 (make sure to round to the nearest tenth, which is one decimal place)

For angle B, since they have given two angles, you can solve for B since all angles of a triangle add up to 180 degrees.

So b = 180 - (90 + 23.5) = 180 - 113.5

b = 66.5

It is also possible to solve this using sine of angle B and solve it from there, but applying the theory this way is much simpler. (this is on the image if you're curious about it)

I hope this helps you with the other 3 questions.