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3 years ago

Please help me. Thank you.

Mathematics

1 answer:

coldgirl [10]3 years ago

7 0

Answer:

33) BD = 5.36

34) x = 67

* Don't forget to put a degree sign with 34)

Step-by-step explanation:

33)

In this problem, it is given that 2 of the sides are congruent, this means that the given triangle, by definition is isosceles. Yet if one adds up the given angle measures;

m< BAC = m<BAD + m<DAE + m<EAC -> Parts whole postulate

m<BAC = 15 + 30 + 15

m<BAC = 60

An isosceles triangle with a 60 angle is an equilateral triangle, therefore, one can say that all the sides and angles are congruent.

BA = AC -> sides equliateral triangle

m<B = m<C -> angles in an equilateral triangle

m<BAD = m<EAC -> given

ΔBAD ≅ ΔEAC -> side-angle-side

Therefore one can say that;

BD = EC ->corresponding parts of congruent triangles are congruent

Hence;

BD + DE + EC = BC

2BD + 9.28 = 20

2BD = 10.72

BD = 5.36

34)

1) m<PQL = y -> naming

2) m<PQL = m<LQN -> definiton of angle bisector

3) m<PQL + m<QLP + m<LPQ = 180 -> sum angles in a triangle

y + 70 + x = 180

x = 110 - y

4) m<PQL + m<LQM = 2y = m<PQM -> parts-whole-postulate

5) m<QLM = 180 - m<LQN + m<M -> sum of angles in a triangle

m<QLM = 126 - y

6) m<QLM + m<PLQ + m<NLP = 180 -> definition of a straight angle

126 + 70 + m<NLP = 180

m<NLP = y - 16

7) ΔPNL - isosceles -> deinfion of isosceles; Pn = NL

8) m<NPL + m<QPL = m<P -> parts-whole posulate

9) m<PQM + m<P = 180 -> two parralell lines intersected by a transversal

(110 - y) + (y - 16) + 2y = 180

94 + 2y = 180

2y = 86

y = 43

10) 110 - y = x -> substitution

110 - 43 = x

67 = x

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denis-greek [22]

<h2>Hello!</h2>

The answer is:

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So, finding which piecewise satisfies the function shown, we have:

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We have the first line,

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The variable has positive coefficient, meaning that the function (line) is increasing.

Hence, since the second line is not decreasing, the piecewise function is not the piecewise function shown in the picture.

- Second piecewise function,

$f(x)=\left \{ {{-x-2,x$

First line,

We have the first line,

$-x-2$

The variable has a negative coefficient (-1), meaning that the function (line) is decreasing, also we can see that the function does exist from all the numbers less than 0, to 0.

Second line,

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