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3 years ago

Given the similar triangles shown in the diagram below :

Mathematics

2 answers:

Nesterboy [21]3 years ago

6 0

Answer:

a.) (x-3)(x-3) = 25 + (x-4)(x-4)

x^2 - 6x + 9 = 25 + x^2 - 8x + 16

-6x + 9 = -8x + 41

2x + 9 = 41

2x = 32

x = 16

b.) 16 - 4 = 12

AB = 12

c.) 16 - 3 = 13

AC = 13

[btw I don't know if this is the method your teacher wants as it does not use the similar triangle :/ but it is still correct :) so good luck bro]

Elden [556K]3 years ago

3 0

B is the correct answer

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Transforme em π rad :<br>a)30°<br>b)40°<br>c)45°<br>d) 50°

Roman55 [17]

Answers:

a) $\frac{1}{6} \pi rad$

b) $\frac{2}{9} \pi rad$

c) $\frac{1}{4} \pi rad$

d) $\frac{5}{18} \pi rad$

Step-by-step explanation:

In this case we are dealing with angles, which can be expressed in degrees ( $\°$ ) or radians ( $rad$ ).

Now, before making the conversions we have to know the equivalence between degrees and radians:

$180 \°=1 \pi rad$

Taking this information into account, let's begin with the answers:

a) $30\° \frac{1 \pi rad}{180 \°}=\frac{1}{6} \pi rad$

b) $40\° \frac{1 \pi rad}{180 \°}=\frac{2}{9} \pi rad$

c) $40\° \frac{1 \pi rad}{180 \°}=\frac{1}{4} \pi rad$

d) $50\° \frac{1 \pi rad}{180 \°}=\frac{5}{18} \pi rad$

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4 years ago

Write an equation of the line passing through the point (4, 2) that is perpendicular to the line 4x + 3y = 7

Dafna1 [17]

Answer:

can you be my new master?

Step-by-step explanation:

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3 years ago

∠abc measures 115° and ∠dbc measures 70°. What is the measurement of ∠abd?

olasank [31]

Answer:

45 °

Step-by-step explanation:

m< ABC = m< DBC + m< ABD

= 115 _ 70

= 45 °

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3 years ago

Can somebody help with this ?

Igoryamba

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4 years ago

Arte-miy333 [17]

Answer:

Yes, it is a function because domain ( x value) is not repeated

Domain: {7, 1, -1, 0}

Range: { 1, 1, 7, -1}

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4 years ago