1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
laiz [17]
3 years ago
13

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

You might be interested in
Simplify this expression: 7x -3x +4
Pachacha [2.7K]

Answer:

4x+4

Step-by-step explanation:

7x -3x +4

Combine like terms

7x-3x = 4x

Substitute back into the expression

4x+4

5 0
3 years ago
Read 2 more answers
Im in 6th grade and my homwork asks What is 5+6-18+694*88/92+33-11*2,515-55+45*6=? I need help.
just olya [345]

It's -26760.173913043


5 0
3 years ago
Triangle ABC has vertices of A(-6,7) B(4,-1), and C(-2,-9). Find the length of the median from angle B in triangle ABC.
AfilCa [17]

The length of the median from angle B is 8.

4 0
3 years ago
Help Me Please I need help
Neko [114]

Answer:

Step-by-step explanation:

m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }

y - y_{1} = m( x - x_{1} )

y = mx + b

~~~~~~~~~~~

(4, 5)

( - 6, 15)

m = (15 - 5) / ( - 6 - 4 ) = - 1

y - 5 = ( - 1)( x - 4 )

y =<em> (- 1) </em>x + <em>9</em>

8 0
3 years ago
Read 2 more answers
Is the function f(x) =(4)^x -2 an exponential function. If so, identify the base. If not, why not?
Ne4ueva [31]

Answer:

Yes.

Base: 4

Step-by-step explanation:

Since we have 4 to the power of x, we do indeed have an exponent. The -2 just signifies vertical movement down.

7 0
3 years ago
Other questions:
  • Which function below is the inverse of f(x)=7x-1/2
    14·1 answer
  • What is the value of the x variable in the solution to the following system of equations? 4x − 3y = 3 5x − 4y = 3
    8·2 answers
  • Graph the image of rectangle STUV after a reflection across the line x = -2
    10·1 answer
  • An explorer is climbing up and rappelling down a series of cliffs and drop-offs. She starts at her base camp, which is on the mi
    15·1 answer
  • Give a decimal approximation of your answer to the second question using 3.14 to approximate pie. Answer for the second question
    9·1 answer
  • an ideal gas had an intial pressure of 0.03X10^9 atmospheres, an intial pressure of 7000 kelvins and an intial volume of 0.0007X
    13·1 answer
  • 3.45 0.78 0.003 2 1.46 from least to greatest
    5·2 answers
  • Valeria already owns 147 necklaces, and additional necklaces are priced at 2 for a dollar. How
    6·1 answer
  • Find the area in the shape
    11·1 answer
  • I WILL GIVE BRAINLIEST TO WHO ANSWERS RIGHT!!! The measure of A is 100°. Angles A and B are supplementary. What is mB? A.mB = 10
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!