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2 years ago

Lines r and s are parallel.

Mathematics

1 answer:

slamgirl [31]2 years ago

3 0

Answer:

Step-by-step explanation:

Since r and s are parallel lines, then

The angle adjacent to 1 is corresponding to 158 and are congruent, thus

adjacent angle to 1 = 158°

1 and 158° are adjacent and supplementary, so

∠ 1 + 158° = 180° ( subtract 158° from both sides )

∠ 1 = 22° → B

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kupik [55]

Answer:

$360\ cm^2$

Step-by-step explanation:

Step 1: Determine the area of the bottom rectangle

$A = l * w$

$A = 10\ cm * 12\ cm$

$A = 120\ cm^2$

Step 2: Determine the area of the back rectangle

$A = l * w$

$A = 10\ cm * 5\ cm$

$A = 50\ cm^2$

Step 3: Determine the area of the top rectangle

$A = l * w$

$A = 10\ cm * 13\ cm$

$A = 130\ cm^2$

Step 4: Determine the area of the triangle

$A = \frac{h*b}{2}$

$A = \frac{5\ cm * 12\ cm}{2}$

$A = \frac{60\ cm^2}{2}$

$A = 30\ cm^2$

Step 5: Determine the surface area

$120\ cm^2 + 50\ cm^2 + 130\ cm^2 + 2(30\ cm^2)$

$360\ cm^2$

Answer: $360\ cm^2$

4 0

2 years ago

Darryl left the White House and traveled toward the ferry office at an average speed of 25 mph. Some time later Jacob left trave

DanielleElmas [232]

Answer:

2 hours

Step-by-step explanation:

Given the following :

Darryl :

Speed = 25mph

Jacob:

Traveled in opposite direction

Speed = 35mph

After Darryl had traveled for 4 hours, Distance between them was 170 miles

Distance traveled by Darryl :

Speed * time = (25 * 4) = 100 miles

Total distance = distance traveled by Darryl + distance traveled by Jacob

170 miles = 100 miles + distance traveled by jacob

Distance traveled by Jacob = 170 - 100

Distance traveled by Jacob = 70 miles

Time = distance / speed

Time traveled by Jacob = 70 miles / 35mph

Time traveled by Jacob = 2 hours

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Step-by-step explanation:

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3 years ago