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irinina [24]
3 years ago
9

Consider the diagram below, CD is tangent to circle A at point B. EB bisects triangle ABC. Select all of the statements that are

true about the diagram.

Mathematics
1 answer:
kolbaska11 [484]3 years ago
5 0

Answer:

<em>m∠ABC = 90° , m∠ABE = 30° , m∠EBC= 45°</em>

Step-by-step explanation:

If I were to remember correctly;

m∠ABC = 90°

m∠ABE = 30°

m∠EBC= 45°

Hope you're doing alright during the quarantine. Best of luck!

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Which relation is a direct variation that contains the ordered pair (2, 7)?
Tasya [4]
Lets write equation of a function:

y = kx + n

Direct variation in simple is equation of a line which has n=0 or in other words which y to x ratio is k.

First option gets 7=7 but it isnt direct variation because n is not equal to 0

third option is indeed correct. once we implement coordinates (2,7) we get 7=7

Answer is 
y = 7/2x
8 0
3 years ago
out of 420 students enrolled in a recreational soccer program, 40% are sixth graders. How many students in the program are sixth
Juliette [100K]

0.4(420) = 4(420)/10

(0.4 is essentially 4/10)

1680/10 = 168

There are 168 sixth graders

5 0
3 years ago
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Determine whether the equation below has a one solutions, no solutions, or an
lesantik [10]

The equation below does not have one solution, or no solutions, but instead it has an infinite number of solutions

<h3>How to determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions?</h3>

The equation is given as:

x + 2 = 2 + x

Collect the like terms

x - x =2 - 2

Evaluate the like terms

0 = 0

An equation that has a solution of 0 = 0 has an infinite number of solutions

Possible values of x are x = 8 and x = -8

Hence, the equation below does not have one solution, or no solutions, but instead it has an infinite number of solutions

Read more about number of solutions at

brainly.com/question/24644930

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4 0
2 years ago
Use the image below to answer the following question. Find the value of sin x° and cos y°. What relationship do the ratios of si
stiks02 [169]

The relationship that sin x° and cos y° share is that; cos x = sin y and sin x = cos y = 12/13

<h3>How to work with Pythagoras Theorem?</h3>

From the definitions of trigonometric ratios, we know that;

sin x = opposite leg/hypotenuse

cos y = adjacent leg/hypotenuse

From the Pythagorean theorem, we can find the hypotenuse as;

6² + 8² = hypotenuse²

The cosine is the sine of the complementary angle. Since x and y are complementary angles as they sum up to 90°, we have cos x = sin y and sin x = cos y = 12/13

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7 0
2 years ago
Find the volume of a hemisphere that has a diameter of 48 inches and leave your answer in terms of pie
marin [14]

<u>Given</u>:

Given that the diameter of the hemisphere is 48 inches.

We need to determine the volume of the hemisphere.

<u>Radius:</u>

The radius of the hemisphere can be determined using the formula,

r=\frac{d}{2}

Substituting d = 48, we get;

r=\frac{48}{2}

r=24

Thus, the radius of the hemisphere is 24 inches.

<u>Volume of the hemisphere:</u>

The volume of the hemisphere can be determined using the formula,

V=\frac{2}{3} \pi r^3

Substituting r = 24, we get;

V=\frac{2}{3} \pi (24)^3

V=\frac{2}{3} \pi (13824)

V=9216 \pi \ in^3

Thus, the volume of the hemisphere is 9216π cubic inches.

8 0
4 years ago
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