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irina1246 [14]
2 years ago
7

Find the length of the missing side. Leave your answer in simplest radical form.

Mathematics
1 answer:
lana66690 [7]2 years ago
7 0

Answer:

\sqrt{69}

Step-by-step explanation:

from the pythagorean theorem:

a^2 + b^2 = c^2\\10^2 + b^2 = 13^2\\100 + b^2 = 169\\b^2 = 69\\b = \sqrt{69}

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Misha Larkins [42]

Answer:

C and B

Step-by-step explanation:

The correct option is option B and C. The necessary condition to prove that the opposite angles of a parallelogram are congruent:

C. Angle Addition Postulate.

B. Opposite sides are congruent

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3 years ago
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Step-by-step explanation:

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Write an equation of the line that is perpendicular to 2x + 4y = 6 and passes through the point (6, 4) ). es A ) y = 2x + 4 B) y
netineya [11]

Answer:

B - y = 2x - 8

Step-by-step explanation:

Step 1: find slope

2x + 4y = 6

4y = -2x + 6

Make y the subject of the formula

y =( -2x + 6)/4

We can separate to get the slope

y = -2x/4 + 6/4

y = -x/2 + 3/2

Slope m = -1/2

Step 2: using a point slope form equation

y - y1 = m ( x - x1)

Note: if two lines are perpendicular to the other, it is always a negative reciprocal of each other

ie m = 2

Substitute m into the equation

y - y1 = 2(x - x1)

Step 3: sub the point

( 6 , 4)

x1 = 6

y1 = 4

y - 4 = 2( x - 6)

Step 4 : using a slope intercept form equation

Open the bracket

y - 4 = 2x - 12

y = 2x - 12 + 4

y = 2x - 8

The equation of a line is

y = 2x - 8

5 0
3 years ago
an electrician charges $55 per hour of electrical work plus a flat fee of 25$ as a service charge . if a customer's bill 190 whi
zhenek [66]

Answer:

\large \boxed{\text{A. 3.0 h}}

Step-by-step explanation:

The bill          = $190

Less flat fee  =    25

Work done   = $165

\text{Hours worked} = \$165 \times \dfrac{\text{1 h}}{\$55} = \textbf{3.0 h}\\\\\text{The electrician was on the job for $\large \boxed{\textbf{3.0 h}}$}

7 0
3 years ago
Write the slope intercept form of the equation of the line through the given point with the given slope.
MatroZZZ [7]

Answer:

1) y = 2x-2

2) y = -6/5+1

Step-by-step explanation:

6 0
3 years ago
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