All categories

3 years ago

AB and EDC are parallel lines.

Mathematics

1 answer:

ohaa [14]3 years ago

3 0

Answer:

x = 125°, y = 55°, z = 70°

Step-by-step explanation:

x and 55 are adjacent angles and are supplementary, sum to 180°, that is

x + 55° = 180° ( subtract 55° from both sides )

x = 125°

∠ ABD and ∠ BDC are alternate angles and congruent , so

y = 55°

Since BD and BC are congruent, then Δ BCD is isosceles, so

∠ BDC = ∠ BCD = 55° and

z = 180° - (55 + 55)° ← angle sum of triangle

= 180° - 110°

= 70°

You might be interested in

What is m24+ m25+ m26?<br> 180°<br> 270°<br> 300°

Volgvan

The answer would be 180 degrees

6 0

3 years ago

Read 2 more answers

Cual es el resultado de esta ecuacion 8x+9=25

Rama09 [41]

25? No entiendo perdón

3 0

3 years ago

Read 2 more answers

9282 divided by 433 with a remainder

Studentka2010 [4]

Step-by-step explanation:

the explanation is pictured

7 0

3 years ago

Which equation matches the table ?

natka813 [3]

B= a+4 because let’s say for the first column, b8/a4 it would be 8=4+4 which is true

7 0

3 years ago

An article suggests the uniform distribution on the interval (6.5, 19) as a model for depth (cm) of the bioturbation layer in se

Rama09 [41]

Answer:

The mean of depth is 12.75cm.

The variance of depth is of 13.02 cm².

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The mean of the uniform distribution is:

$M = \frac{a+b}{2}$

The variance of the uniform distribution is given by:

$V = \frac{(b-a)^{2}}{12}$

Uniform distribution on the interval (6.5, 19)

This means that: $a = 6.5, b = 19$

Mean:

$M = \frac{6.5+19}{2} = 12.75$

The mean of depth is 12.75cm.

Variance:

$V = \frac{(19 - 6.5)^{2}}{12} = 13.02$

The variance of depth is of 13.02 cm².

4 0

4 years ago