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professor190 [17]
3 years ago
7

Given: ΔABC, m∠C = 90º, m∠B = 30º CM - angle bisector Find: m∠AMC

Mathematics
1 answer:
SashulF [63]3 years ago
3 0

Answer:

75°

Step-by-step explanation:

1. Consider right triangle ABC. In this triangle

m∠C = 90º and CM - angle bisector.

If CM is angle C bisector, then

m∠ACM = m∠MCB = 45º

2. Consider triangle CMB. The sum of the measures of all interior angles of the triangle is always 180°, then

m∠MCB + m∠CBM + m∠BMC = 180°,

m∠BMC = 180° - 45° - 30°

m∠BMC = 105°

3. Angles AMC and BMC are supplementary angles, so

m∠AMC + m∠BMC = 180°

m∠AMC = 180° - 105°

m∠AMC = 75°

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Answer:

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Step-by-step explanation:

Given: Height of a student= 65.0 inch.

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Solution:

We know that 1 inch=2.54 cm, then

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65.0 inch will be=165.2 cm

Also, we know that 1cm=\frac{1}{100} m, then

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3 years ago
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garri49 [273]

Answer:

B:  (x - 4)² = 44

Step-by-step explanation:

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Then x^2 - 8x = 28.

Now identify the coefficient of x.  It is -8.  

Take half of this, obtaining -4.

Square this result, obtaining 16.

Add 16, and then subtract 16, to x^2 - 8x:

x^2 - 8x + 16 - 16 = 28.

Add 16 to both sides:

x^2 - 8x + 16 = 28 + 16 = 44

Rewrite x^2 - 8x + 16 as (x - 4)², so that we have:

(x - 4)² = 44.  This is in the form (x - p)² = 44, and matches Answer B.

Note:  Please use " ^ " to indicate exponentiation:  (x - 4)^2 = 44

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3 years ago
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Answer:

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Harlamova29_29 [7]
<h2>Answer:</h2>

  • option (c) = -19 + x = -21

<h2>Step by step explanation:</h2>

<u>Question</u> : A number added to -19 is -21

<h3><u>Solution</u> ↓</h3>

First of all to make equation

Equation means LHS = RHS

For eg we take :-

50 - 20 = 10 + 20

30 = 30

Therefore, LHS = RHS

<h3>According to the question :</h3>

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Make an equation

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x = -21 + 19

x = -2

Add -2 in the variable of x

Variable means any unknown value we used in maths. For eg :- x,y,z,a,b,c,p,q,r etc.

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6 0
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