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3 years ago

Hi. I was confused on how to solve for x in this problem

Mathematics

1 answer:

Nostrana [21]3 years ago

7 0

It is 70° because the other triangle has the same angle and it is labeled 70° in the other triangle.

Answer: 70°

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Please Help Identify each angle pair. Choose from the list below.

Slav-nsk [51]

Answer:

The answer is given below.

Step-by-step explanation:

Alternate exterior angles: I is a pair of angles on the outer side of the each of two parallel lines but on opposite side of the transversal.

Vertically opposite angles: They are angles opposite each other when two lines intersect each other or cross each other.

Corresponding angles: The angles which occupy the same relative position at each intersection where a transversal intersect the two parallel lines.

Same side interior angles: These are the angles between the parallel lines with the transversal.

Alternate interior angles: These are those angles that are alternate to each other and lie inside the parallel lines forming in Z shape.

Linear pair angles: It is a pair of adjacent angles formed by two intersecting lines

$\angle 1\ and\ \angle 6:\ \textrm{alternate exterior angles}\\\angle 1\ and\ \angle 3:\ \textrm{Vertical opposite angles}\\\angle 3\ and\ \angle 6:\ \textrm{corresponding angles}\\\angle 4\ and\ \angle 8:\ \textrm{same side interior angles}\\\angle 4\ and\ \angle 5:\ \textrm{alternate interior angles}\\\angle 5\ and\ \angle 6:\ \textrm{linear pair angles}$

4 0

3 years ago

Can someone tell me how to find the Radius, Diameter, And Circumference Of a Circle?

irakobra [83]

<h2>Answer:</h2>

<h3>Radius:</h3>

radius is always half the length of its diameter. For example, if the diameter is 4 cm, the radius equals 4 cm ÷ 2 = 2 cm.

<h3>Diameter:</h3>

2 times the radius is the circle's diameter.

<h3>Circumference:</h3>

The formula is simply this: C = πd. In this equation, "C" represents the circumference of the circle, and "d" represents its diameter. That is to say, you can find the circumference of a circle just by multiplying the diameter by pi.the formula for circumference of a circle is 2 x pi x r(radius).

3 0

3 years ago

Please help anybody I need to fast please

elena55 [62]

Answer:
D. t = -1

step-by-step explanation:
that side should be 180 degrees and the whole is 360 but we are only measuring half
so (20t + 5) = 15t
-20t -20t
5 = -5t
/-5 /-5
-1 = t

4 0

2 years ago

Write 19/9 as a mixed number

Iteru [2.4K]

Answer:

2 1/9

Step-by-step explanation:

Divide 19 by 9 and get a number with a remainder

Take remainder and put it as the numerator with 9 and the denominator and with 2 as the whole number

7 0

3 years ago

What are the measurements of the sides of a pentagon that has the area of 32?

LenaWriter [7]

Answer:

4.31 units

Step-by-step explanation:

A pentagon is a polygon with five straight sides.

The formula to apply here will be finding area from side length, assuming that this is a regular pentagon with five sides of equal length.

Lets take each side length to be x units

Divide the pentagon into five triangles by joining a line from the center to any vertex of the pentagon.

Now you have five equal triangle.Take the base triangle and divide it into two(take a line from center of pentagon to hit the base at 90°)

This will divide the base triangle of length x unit into two equal triangles with base length x/2 units.

The angle at the pentagon center for the small formed triangle will be 36°. Here you have a triangle with base x/2 units and angle 36° at top center.

To get the height of the triangle you apply formula for tangent of an angle;

height, h=0.5x /tan 36°

Find area of the small triangle;

Area=1/2 *b*h

where b is base length=0.5x and h is height = 0.5x/tan 36°

Area=1/2*0.5x * (0.5x /tan 36°) Area for one small triangle.

However, you notice that you will have 10 small triangles for the whole pentagon, hence multiply this area by 10 which should be equal to the area of the pentagon given 32.

32=1/2 * 0.5x *(0.5x /tan 36°) *10

32=1.25x² /tan 36°

32*0.7265=1.25x²

18.60=x²

√18.60=x

4.31=x

Measurement of one side is 4.31 units

3 0

3 years ago