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3 years ago

Can someone help with this please

Mathematics

1 answer:

VladimirAG [237]3 years ago

5 0

Answer:

GH = 9

Step-by-step explanation:

Note:

GI = GH + HI

Plug in the corresponding terms to the corresponding variables:

3x + 8 = (x + 6) + (x + 5)

First, simplify. Combine like terms:

3x + 8 = (2x) + (11)

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 2x and 8 from both sides:

3x (-2x) + 8 (-8) = 2x (-2x) + 11 (-8)

3x - 2x = 11 - 8

x = 3

Plug in 3 for x in the length of GH.

GH = x + 6

GH = 3 + 6

GH = 9

9 is the numerical length of GH.

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Read 2 more answers

If each of the following represents the slope of a line (or line segment), give the slope a line that is perpendicular to it. (a

Crank

Answer:

$m_2 = -\frac{3}{4}$ -- (a)

$m_2 = -\frac{7}{3}$ -- (b)

$m_2 = -\frac{1}{4}$ --- (c)

$m_2 = -3$ -- (d)

Step-by-step explanation:

Given

$a.\ m = \frac{4}{3}$

$b.\ m = \frac{3}{7}$

$c.\ m = 4$

$d.\ m = \frac{1}{3}$

Required

Determine the slope of a perpendicular line

In geometry, the condition for perpendicularity is:

$m_2 = -\frac{1}{m}$

This formula will be applied in solving these questions.

$a.\ m = \frac{4}{3}$

$m_2 = -\frac{1}{m}$

Substitute 4/3 for m

$m_2 = -\frac{1}{4/3}$

Express as a proper division

$m_2 = -1/ \frac{4}{3}$

Convert to *

$m_2 = -1* \frac{3}{4}$

$m_2 = -\frac{3}{4}$

$b.\ m = \frac{3}{7}$

$m_2 = -\frac{1}{m}$

Substitute 3/7 for m

$m_2 = -\frac{1}{3/7}$

Express as a proper division

$m_2 = -1/ \frac{3}{7}$

Convert to *

$m_2 = -1* \frac{7}{3}$

$m_2 = -\frac{7}{3}$

$c.\ m = 4$

$m_2 = -\frac{1}{m}$

Substitute 4 for m

$m_2 = -\frac{1}{4}$

$d.\ m = \frac{1}{3}$

$m_2 = -\frac{1}{m}$

Substitute 1/3 for m

$m_2 = -\frac{1}{1/3}$

Express as a proper division

$m_2 = -1/ \frac{1}{3}$

Convert to *

$m_2 = -1* \frac{3}{1}$

$m_2 = -\frac{3}{1}$

$m_2 = -3$

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3 years ago