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gtnhenbr [62]
4 years ago
10

Parallel to y=4x+2,y intercept at 4

Mathematics
1 answer:
seraphim [82]4 years ago
4 0

Answer:

<h2>y = 4x + 4</h2>

Step-by-step explanation:

The slope-intercept form:

y=mx+b

m - slope

b - y-intercept

Parallel lines have the same slope.

We have y = 4x + 2 → m = 4.

The slope of parallel line is m = 4 and the y-intercept b = 4.

Therefore we have the equation of a line:

y=4x+4

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4 years ago
ABC is an isosceles triangle with BA=BC
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Explanation:

1. ∠BAC≅∠BCA, ∠ABD≅∠ADB; Reason: definition of isosceles triangles

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3. ∠BAC = 180° -2(∠ABD) = 36°; Reason: Subtraction and substitution properties of equality

4. ∠BAC +∠BCA +∠ABC = 180°; Reason: sum of internal angles is 180°

5. ∠BCA = 180° -2(∠BAC) = 108°; Reason: Subtraction and substitution properties of equality

6. ∠ABD +∠DBC = ∠ABC; Reason: Angle sum theorem

7. ∠DBC = ∠ABC -∠ABD = 108° -72° = 36°; Reason: Subtraction and substitution properties of equality

8. ∠BCA = ∠BAC = 36°; Reason: Substitution property of congruence

9. ΔBCD is isosceles; Reason: Base angles DBC and BCA are congruent.

_____

There may be extra steps involved if you separately use subtraction and substitution properties of equality, or if you separately claim congruence of angles and equality of their measures. We have assumed that the definition of "isosceles triangle" includes the fact of equal side lengths <u>and</u> equal base angles.

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The answer is true...
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4 years ago
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Answer:

50%

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None of these are equivalent to 34; they're all different values.

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