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3 years ago

In the figure below, ΔGHF≅ΔEHD. Which statement is true by CPCTC?

Mathematics

2 answers:

Andreyy893 years ago

3 0

Answer:

b is the answer I just took the test

Step-by-step explanation:

Artemon [7]3 years ago

3 0

Answer:

Step-by-step explanation:

angle DHE = angle GHF

Let's call it X

Then DHG = EHF = 180-X

(supplementary angles)

angle HFG = angle HDE

(alternate angles)

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Line g passes through points (5, 9) and (3, 2). Line h passes through points (9, 10) and (2, 12). Are line g and line h parallel

icang [17]

For this case we find the slopes of each of the lines:

The g line passes through the following points:

$(x_ {1}, y_ {1}) :( 3,2)\\(x_ {2}, y_ {2}) :( 5,9)$

So, the slope is:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {9-2} {5-3} = \frac {7} {2}$

Line h passes through the following points:

$(x_ {1}, y_ {1}) :( 9,10)\\(x_ {2}, y_ {2}) :( 2,12)$

So, the slope is:

$m = \frac {y_ {2} -y_ {1}}{x_ {2} -x_ {1}} = \frac {12-10} {2-9} = \frac {2} {- 7} = - \frac {2} {7}$

By definition, if two lines are parallel then their slopes are equal. If the lines are perpendicular then the product of their slopes is -1.

It is observed that lines g and h are not parallel. We verify if they are perpendicular:

$\frac {7} {2} * - \frac {2} {7} = \frac {-14} {14} = - 1$

Thus, the lines are perpendicular.

Answer:

The lines are perpendicular.

8 0

3 years ago

PLEASE HELP!

Mariana [72]

-----------------------------------------------
Information Given:
-----------------------------------------------
ON = 7x - 9
LM = 6x + 4
MN = x - 7
OL = 2y - 7

-----------------------------------------------
Since it is a parallelogram:
-----------------------------------------------
ON = LM and
MN = OL

-----------------------------------------------
ON = LM:
-----------------------------------------------
7x - 9 = 6x + 4

-----------------------------------------------
Subtract 6x from both sides:
-----------------------------------------------
x - 9 = 4

-----------------------------------------------
Add 9 to both sides:
-----------------------------------------------
x = 13

-----------------------------------------------
MN = OL:
-----------------------------------------------
x - 7 = 2y - 7

-----------------------------------------------
Sub x = 13:
-----------------------------------------------
13 - 7 = 2y - 7

-----------------------------------------------
Simplify:
-----------------------------------------------
6 = 2y - 7

-----------------------------------------------
Add 7 on both sides:
-----------------------------------------------
13 = 2y

-----------------------------------------------
Divide by 2:
-----------------------------------------------
y = 13/2

-----------------------------------------------
Answer: x = 13, y = 13/2 (Answer D)
-----------------------------------------------

6 0

3 years ago

Two lines are intersected by a third line. If 2 6, which must be true about 2? 2 5 2 is complementary to 5. m2 = m8 2 is supplem

sineoko [7]

If this scenario is a pair of parallel lines intersected by a transversal then it is true that
2 = 6
Then, among the choices, the statement that is true is
2 is supplementary to 8 since 6 is supplementary to 8
By transitivity property, 2 is supplementary 8

4 0

3 years ago

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torisob [31]

170 cm. The unknown length on the left is 21 cm

5 0

3 years ago

HELP <br> what is the equation of the lines in slope - intercept form

34kurt

Answer:

y=7x

Step-by-step explanation:

slope intercept form is y=mx+b.

m is the slope (rise over run) and b is your y- intercept. you leave y as it is. if the line is going down, you have a negative slope. hope this helped :)

3 0

2 years ago