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Andre45 [30]
3 years ago
12

Triangle HIJ is dilated by a scale factor of 5 to form triangle H'I'J'. Side I'J' measures 75. What is the measure of side IJ?

Mathematics
1 answer:
love history [14]3 years ago
7 0

Answer:

15

Step-by-step explanation:

I'J' is IJ with the scale factor of 5.

so (IJ) × 5= (I'J)

(IJ) × 5= 75

75 ÷ 5= 15

I am so sorry i did the math wrong in my head, the answer is 15 not 16.

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Answer:

1. -8x² - 16x - 6      a = -8, b = -16, c = -6

1. 4x² - 1                  a = 4, b = 0, c = -1

Step-by-step explanation:

use the 'foil' method:

(4x + 2)(-2x - 3)

F: -8x²     O: -12x       I: -4x       L: -6

-8x² - 16x - 6

(2x + 1)(2x - 1)

F: 4x²     O: -2x       I: 2x       L: -1

4x² - 1

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2 years ago
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8 0
3 years ago
Read 2 more answers
Find the equation of the line that passes through point A (1,7) and B (-3, -1)
amid [387]

Answer:

The equation of the line is 2 x - y + 5 = 0.

Step-by-step explanation:

Here the given points are A( 1, 7) & B( -3, - 1) -

Equation of a line whose points are given such that

( x_{1}, y_{1} ) & ( x_{2}, y_{2} )-

 y - y_{1}  = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }   ( x - x_{1}  )

i.e. <em> y - 7= \frac{- 1 - 7}{ -3-1}  ( x- 1)</em>

<em>       y - 7 =  \frac{- 8}{- 4} ( x -1)</em>

<em>       y - 7 =  2 ( x - 1) </em>

<em>       y - 7  =   2  x - 2</em>

<em>       2 x - y + 5 = 0</em>

Hence the equation of the required line whose passes trough the points ( 1, 7) & ( -3, -1)  is 2 x - y  + 5 = 0.

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22. The measures of the angles of ADEF are in the ratio 2:4:4. What are the
denis23 [38]

The measures of the angles of Δ DEF are 36° , 72° , 72°

Step-by-step explanation:

The sum of the measures of the interior angles in any triangle is 180°

In Δ DEF

The ratio between the measures of its interior angles is 2 : 4 : 4

To find the measure of each angle

1. Find the sum of the ratio between the measures of its angles

2. Divide 180° by the sum of the ratio

3. Multiply the quotient by each ratio

∵ The ratio between the measures of the angles of Δ DEF = 2 : 4 : 4

∴ The sum of the ratio = 2 + 4 + 4 = 10

→    m∠D    :    m∠E    :    m∠F    :   sum of the ratio

→    2          :    4          :    4          :   10

→    ?          :     ?          :    ?          :   180°

Divide 180 by 10, then multiply the quotient by the components of

the ratio to find the measure of each angle

∵ m∠D = (2)\frac{180}{10}

∴ m∠D = 36°

∵ m∠E = (4)\frac{180}{10}

∴ m∠D = 72°

∵ m∠F = (4)\frac{180}{10}

∴ m∠F = 72°

The measures of the angles of Δ DEF are 36° , 72° , 72°

Learn more:

You can learn more about the ratio in brainly.com/question/2707032

#LearnwithBrainly

3 0
3 years ago
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