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professor190 [17]
3 years ago
13

Suppose that the relation H is defined as follows.

Mathematics
1 answer:
9966 [12]3 years ago
3 0
ANSWER:
Domain: {3, 7, 4, a}
Range: {a, b, 4, 0}
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Given: △ABC, BC>AC, D∈ AC , CD=CB Prove: m∠ABD is acute
Aleksandr [31]

Answer:

Step-by-step explanation:

Given: △ABC, BC>AC, D∈ AC , CD=CB

To prove: m∠ABD is acute

Proof: In ΔABC, the angle opposite to side BC is ∠BAC and  the angle opposite to side  AC is ∠ABC.

Now, it is given that  BC>AC, then ∠BAC>∠ABC..                       (1)

In ΔBDC, using the exterior angle property,

∠ADB=∠DBC+∠BCD

∠ADB=∠DBC+∠BCA

⇒∠ADB>∠BAC                            (2)

From equation (1) and (2), we get

∠ADB>∠BAC

⇒∠ADB>∠ABC

⇒DB>AB

Hence,    m∠ABD is acute            

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3 years ago
Two similar cones have heights 5 and 20. What is the ratio of their volumes?
Alex Ar [27]
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3 years ago
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Find the equation of the line perpendicular to y=-4x+3 that also intersects the point (8,1)
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Answer:

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Step-by-step explanation:

They already did the opposite reciprocal for you.

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Let's do that.

1=\frac{1}{4}(8)+b

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L = Length

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3 years ago
12 is 48 percent of what number?
m_a_m_a [10]

Answer:

25

Step-by-step explanation:

12 x 100 = 1200

1200 / 48 = <u>25</u>

8 0
2 years ago
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