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3 years ago

Use deductive reasoning to show that the two triangles are congruent.

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

4 0

Step-by-step explanation:

<FAB = <GED ==> <CAB = <CED (same angles)

C is midpoint AG => AC = GC (same sides)

<ACB = <DCE (back push angles)

so, ∆ABC & ∆EDC are congruent [ angle, side, angle]

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Three-fifths of a party’s guest are children. There are 36 children at the party. Let t be the total number of guests at the par

ivanzaharov [21]

Answer:

t=60

Step-by-step explanation:

$\frac{3}{5}*t=36$

t=(36*5)/3=60

8 0

4 years ago

Tyler has a rectangular garden that measures 10 m wide by 13 m long. He wants to increase the area to 208 m² by increasing the w

Nikitich [7]

Rectangular garden:
length: 13 meters ; width: 10 meters

Area = 13 m x 10 m = 130 m²

Increase area to 208 m²

Find factors of 208 that is greater than 13.
208 / 13 = 16

Length: 13 + 3 = 16
Width: 10 + 3 = 13

The new rectangular garden will have a length of 16 meters and a width of 13 meters.

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3 years ago

In the table below, x represents miles traveled and y represents the cost to travel by train.

Fiesta28 [93]

Answer:

4.00

Step-by-step explanation:

Given

x: 2 , 5 , 8 , 12

y: 8.50, 15.25, 22.00. 31.00

Required

Determine the y intercept

First, we calculate the slope:

$m = \frac{y_2- y_1}{x_2 - x_1}$

Where

$(x_1,y_1) = (2,8,50)$

$(x_2,y_2) = (12,31.00)$

$m = \frac{31.00 - 8.50}{12 - 2}$

$m = \frac{22.5}{10}$

$m = 2.25$

Next, we calculate the equation:

$y - y_1 = m(x - x_1)$

Where:

$(x_1,y_1) = (2,8,50)$

$m = 2.25$

The equation becomes:

$y - 8.50 = 2.25(x - 2)$

$y - 8.50 = 2.25x -4.5$

Make y the subject

$y = 2.25x -4.5+8.50$

$y = 2.25x +4$

Take $x =0$ ; to get the y intercept

$y = 2.25*0 +4$

$y = 4$

<em>Hence, the y intercept is 4.00</em>

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4 years ago

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Answer:

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