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storchak [24]
3 years ago
14

A circle is centered on point B. Points A, C and D lie on its circumference.

Mathematics
2 answers:
saul85 [17]3 years ago
8 0

Answer:

Step-by-step explanation:

70

Firlakuza [10]3 years ago
6 0

Answer:

<h2>The angle ABC is 70°.</h2>

Step-by-step explanation:

You can observe a representation of the problem in the image attached.

According to the inscribed angle theorem, the angle created by two chords is half of its subtended arc, that means

\angle ADC = \frac{1}{2}(AC)\\ 35\°=\frac{1}{2} (AC)\\AC=70\°

Now, observe that the arc AC has as central angle the angle ABC, according to the theorem, the subtended arc and its central are congruent.

\angle ABC \cong arc(AC)

Therefore, the angle ABC is 70°.

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Elanso [62]
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3 years ago
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Please help I’ll mark as brainliest if correct!
coldgirl [10]

Answer:

Step-by-step explanation:

Move the top stick on the plus sign to the 5 to make a 6 so it would be 6-4=2

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3 years ago
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Why does a horizontal line have a slope of zero, but a vertical line have an undefined slope?
shusha [124]
Refer to the diagram shown below.
Define two positions on each line as A (x₁, y₁) and B(x₂, y₂).
Then the slope is
m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Horizontal line:
Define A (0, 1) and B (1,1).
The slope is
m= \frac{1-1}{1-0}=0

Vertical line:
Define A( (1,0) and B(1,1).
The slope is
m= \frac{1-0}{1-1}= \frac{1}{0}  (undefined)

8 0
3 years ago
The measure of one interior angle of a regular polygon is two times the measure of one of its exterior angles. How many sides do
ivann1987 [24]

Answer:

6 sides

Step-by-step explanation:

The measure of one interior angle of a regular polygon is two times the measure of one of its exterior angles. How many sides does this polygon have?

Let us represent:

Sum of Exterior angle as x

Sum of Interior angle as y

Note that:

The sum of the exterior angles of a polygon = 180 - The sum of the interior angles

Hence,

The sum of the exterior angles of a polygon + The sum of the interior angles = 180

x + y = 180

The measure of one interior angle of a regular polygon is two times the measure of one of its exterior angles.

2x = y

Substituting

x + 2x = 180°

3x = 180°

x = 180/3

x = 60°

Solving for y

2x = y

2 × 60° = y

120° = y

Hence,

Sum of Exterior angle as x = 60°

Sum of Interior angle as y = 120°

The number of sides of a polygon is

360°÷ Sum of Exterior angles

= 360° ÷ 60

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6 0
2 years ago
A construction crew must build 4 miles of road in one week. On Monday, they build 12 mile of road. On Tuesday, they build 13 mil
Julli [10]

\frac{19}{6} many more miles of road are left to build .

<u>Step-by-step explanation:</u>

Here we have , A construction crew must build 4 miles of road in one week. On Monday, they build 1/2 mile of road. On Tuesday, they build 1/3 mile of road.  We need to find that  How many more miles of road are left to build . Let's find out:

  • On Monday, they build 1/2 mile of road.
  • On Tuesday, they build 1/3 mile of road.  

Let Miles of road left to build is x So,

⇒ \frac{1}{2} +\frac{1}{3} +x = 4

⇒ x = 4 - (\frac{1}{2} +\frac{1}{3})

⇒ x = 4 - (\frac{1(3)+1(2)}{6} )

⇒ x = 4 - (\frac{5}{6} )

⇒ x =  (\frac{4(6)-5}{6} )

⇒ x =  \frac{24-5}{6}

⇒ x =  \frac{19}{6}

Therefore, \frac{19}{6} many more miles of road are left to build .

5 0
3 years ago
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