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Anit [1.1K]
3 years ago
7

∠ABD is formed by a tangent and a secant intersecting outside of a circle. If minor arc AC = 78° and minor arc CD = 124°, what i

s the measure of ∠ABD? A) 23° B) 39° C) 40° Eliminate D) 46°+-

Mathematics
2 answers:
lana [24]3 years ago
4 0
Minor arc AD is 360° -124° -78° = 158°. Then angle ABD is
  (158° -78°)/2 = 40°

The appropriate selection is
  C) 40°

salantis [7]3 years ago
4 0

Answer:

40°

Step-by-step explanation:

First, find minor arc AD.

minor arc AD = 360 - 78 - 124 = 158

then,

∠ABD =

1

2

(minor arc AD - minor arc AC)

∠ABD =

1

2

(158 - 78)

∠ABD =

1

2

80

∠ABD = 40°

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A coin dealer buys <br> a coin for $850 and sells it for $1190. Find the percent of change.
grin007 [14]
(percent change) = ((new value)/(old value) -1)*100%
.. = (1190/850 -1)*100%
.. = 40%

The coin was sold for a price 40% higher than its purchase price.
4 0
4 years ago
As a fraction in simplest terms, what would you multiply the first number by to get the second? First number: 62 Second number:
polet [3.4K]

We will multiply by 26 / 31 in the first number to get second number for fraction in simplest form.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts.

Given that;

In the fraction,

The first number = 62

The second number = 52

Let the number which can be multiply by the fraction = x

Since, The given condition is,

Multiply the first number by to get the second number.

So, We can formulate;

⇒ 62 × x = 52

Solve for x, as;

⇒ 62 × x = 52

⇒ 62x = 52

Divide by 62, we get;

⇒ x = 52 / 62

Multiply and divide by 2;

⇒ x = 26 / 31

Therefore,

We will multiply by the number 26 / 31 in the first number to get second number for fraction in simplest form.

Learn more about the fraction visit:

brainly.com/question/21428159

#SPJ1

5 0
2 years ago
8) 20% of 80 =<br> 40% of
pickupchik [31]
20/100 x 80
0.20 x 80
= 16
4 0
4 years ago
One leg of a 45 - 45 - 90 triangle measures 12 centimeters what is the length of the hypotenuse
adelina 88 [10]
The angles of the triangle are given as to have measures of 45°-45°-90°. This entails that the triangle is an isosceles triangle where the 2 legs of the triangle are of equal length. We calculate as follows:

c² = a² + b²

c² = 2a²

4² = 2a²

a = 2√2

Hope this answers the question.


5 0
4 years ago
Read 2 more answers
The radius of the cone is 1.25 inches, and its height is 2.75 inches. If the diameter of the bubble gum ball is 0.5 inches, what
nasty-shy [4]
<h2>Explanation:</h2><h2></h2>

The volume of a cone can be found as:

V=\frac{1}{3}\pi r^2 h \\ \\ \\ Where: \\ \\ V:Volume \\ \\ r:radius \ of \ base \\ \\ h:height

Given the radius and height, we can find the volume of the cone:

V=\frac{1}{3}\pi r^2 h \\ \\ V=\frac{1}{3}\pi (1.25)^2(2.75) \\ \\ V=\frac{1}{3}\pi(1.5625)(2.75) \\ \\ V\approx 4.5in^3

The volume of a sphere is:

V=\frac{4}{3}\pi r^3 \\ \\ \text{Each gum ball has a diameter of 0.5in, so the radius is:} \\ \\ r=\frac{0.5}{2}=0.25in

So, for each gum ball the volume is:

V=\frac{4}{3}\pi r^3 \\ \\ V=\frac{4}{3}\pi (0.25)^3 \\ \\ V=0.065in^3

Therefore, the he closest approximation of the volume of the cone that can be filled with flavored ice is:

4.5-0.065=4.43in^3

Conclusion: The volume of the cone that can be filled with flavored ice is 4.43 cubic inches.

3 0
4 years ago
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