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Xelga [282]
3 years ago
14

Find the measure of ∠ABC. Show your work.

Mathematics
2 answers:
tatuchka [14]3 years ago
7 0

Answer:

∠ ABC = 96°

Step-by-step explanation:

The measure of the inscribed angle ABC is one half the measure of its intercepted arc, that is

∠ ABC = 0.5 × 192° = 96°

Dmitry [639]3 years ago
7 0

Answer:

∠ ABC = 96°

Step-by-step explanation:

The measure of the angle is one half of the measure of the whole arc. So it would equal 192° times 1/2 which equals 96°

∠ABC = 0.5 × 192° = 96°

You might be interested in
The sum of two numbers is 14. The first number is 2/5 of the second number. What are the numbers?​
zlopas [31]

Answer:

4 and 10

Step-by-step explanation:

To solve this problem, we need to find all the numbers between 1 and 13 that have a sum of 14. The list is shown below:

1 + 13,   2 + 12,   3 + 11,   4 + 10,   5 + 9,   6 + 8,   7 + 7

Now we must figure out which set of numbers include one number that is 2/5 of the value of the other. We can do that by turning the sets of numbers into fractions as shown below:

\frac{1}{13}\neq \frac{2}{5}

\frac{2}{12}\neq \frac{2}{5}

\frac{3}{11}\neq \frac{2}{5}

\frac{4}{10}= \frac{2}{5}    (answer)

\frac{5}{9}\neq \frac{2}{5}

\frac{6}{8}\neq \frac{2}{5}

\frac{7}{7}\neq \frac{2}{5}

8 0
3 years ago
Two side lengths of a triangle measure 8
olasank [31]

Answer:

Correct option is C)

⇒  The sum of the lengths of any two sides in a triangle is always greater than the length of the third side in the triangle.

⇒  The differnce of the lengths of any two sides in a triangle is always lesser than the length of the third side in the triangle.

⇒  The difference between 4cm and 7cm is

3cm and their sum is 11cm.

⇒  To ensure that the above mentioned rule is not violated, the possible length of the third side has got to be greater than 3cm and lesser than 11cm.

⇒  So from the given options 6cm is less than

11cm and greater than 3cm

∴  The length of the third side of triangle is 6cm

Step-by-step explanation:

5 0
2 years ago
Order the numbers from least to greatest. Put the lowest number on the left.
postnew [5]
-37, -47, 16, 36; this is simple
5 0
3 years ago
What is the axis of symmetry for f(x) = x2 + 4x + 6
mixer [17]

Answer:

x = -2

Step-by-step explanation:

In order to find the axis of symmetry, we will have to find the x-value of the vertex.

Vertex = (-b/2a, f(-b/2a))

In x² + 4x + 6,

a = 1 , b = 4 , c = 6

Vertex = (-4/2,f(-4/2))

Vertex = (-2,f(-2))

We have found the x-value of the vertex which is -2.

Hence, line/axis of symmetry is x = -2

3 0
3 years ago
Read 2 more answers
6. How many of the integers between 20 and 40 are<br>odd?<br>b)11<br>d)12<br>c12​
IRINA_888 [86]

Answer: 10

Step-by-step explanation:

List out the numbers:

20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40

There are 10 odd numbers

Otherwise a faster method:

Odd numbers occur every other number

There are 40 - 20 = 20 numbers between 20 and 40

20/2 = 10

10 odd numbers

7 0
3 years ago
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