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seropon [69]
3 years ago
8

Help!! What is the relationship between the corresponding angle bisectors BD and XZ?

Mathematics
1 answer:
Harrizon [31]3 years ago
8 0

Answer:

XZ = 2.5 BD

Step-by-step explanation:

Comparing the two triangles,

\frac{BD}{BC} = \frac{XZ}{XY}

\frac{6}{8} = \frac{XZ}{20}

⇒ XZ = \frac{20*6}{8}

         = 15

XZ = 15

So that,

BD:XZ = 6:15

           = 1:2.5

Therefore, the relationship between BD and XZ is XZ = 2.5 BD.

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Which is the equation in slope-intercept form of the line that contains points A and C? 
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We have that

point C(-2,-4)
point A(-4,-2)

we know that
the equation of a line in the intercept form is
y=mx+b

Step 1
find slope m
m=(y2-y1)/(x2-x1)
m=(-2+4)/(-4+2)------> 2/-2-------> m=-1

Step 2
find the value of b
with m=-1 and point C(-2,-4)
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7 0
3 years ago
a line passes through the point (-9,7) and has a slope of -4/3 write an equation in point slope form for this line
DENIUS [597]
The answer would be: Y= -4/3x - 5
5 0
3 years ago
Calculate the sum of the first 36 terms of the arithmetic sequence defined in which a36=14 and the common difference is d=1/8
user100 [1]

Answer:

425.25


Step-by-step explanation:

Since we are given 36th term as 14 and we know common difference is \frac{1}{8}, it means that from the first term, we add \frac{1}{8} to each and get 14 on the 36th term. To figure out the first term, thus, we have to subtract \frac{1}{8} 35 times from 14. Let's do it to get first term:

14-35(\frac{1}{8})=\frac{77}{8}=9.625

The sum of arithmetic sequence formula is:

S_{n}=\frac{n}{2}[2a+(n-1)d]

Where,

  • S_{n} is the sum of nth term (we want to figure this out for first 36 terms)
  • a is the first term (we figured this out to be 9.625)
  • n is the term number (36 for our case)
  • d is the common difference (given as \frac{1}{8})

Substituting all the values, we get:

S_{36}=\frac{36}{2}[2(9.625)+(36-1)(\frac{1}{8})]\\S_{36}=18[19.25+4.375]\\S_{36}=18[23.625]\\S_{36}=425.25

First answer choice is right.


7 0
3 years ago
Read 2 more answers
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arsen [322]

Answer: I took a screen shot hope it helps

 

Step-by-step explanation:

5 0
3 years ago
What are the coordinates of Point A after the
Flura [38]

Answer:

A' (-3,7)

B' (0,10)

C' (12,10)

D' (-2,-4)

Step-by-step explanation:

A' (-6+3 , 3+4) = (-3,7)

B' (-3+3 , 6+4) = (0,10)

C' (9+3 , 6+4) = (12,10)

D' (-5+3 , -8+4) = (-2,-4)

5 0
3 years ago
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