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3 years ago

Find the length of the missing side of the trapezoid below.

Mathematics

1 answer:

Semmy [17]3 years ago

8 0

Answer:

2√10

Step-by-step explanation:

Draw a vertical line through the corner between the side of length 7 and the side of length 5. This line forms a right triangle with hypotenuse 7 and base (8 - 5), or 3.

The Pythagorean Theorem applies here.

(hypotenuse)² = (base)² + (vertical side)² and this becomes:

7² = 3² + (vertical side)²

Solving this for (vertical side)², we get (vertical side)² = 49 - 9 = 40.

Thus, (vertical side) = √40 = √4·√10 = 2√10 (answer)

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3. A survey conducted among a group of 50 students showed that; (APPLYING)

Pani-rosa [81]

Answer:

Step-by-step explanation:

this is a set problem (mathematical set)

30 students played soccer

9 students played cricket and soccer

x students played neither cricket nor soccer

3x students played cricket only.

we can see that in the first set 21 appears and in the middle of the set 9 because it says 30 students played soccer adding x and 3x we have the following formula

30 + x + 3x = 50 where x is equal to 5 then ask us Determine the number of students who played cricket. then the value would be 3x + 9 = (3x5) + 9 = 24

5 0

3 years ago

2(x+1)+3x=37 *what is x??

irina1246 [14]

2(x+1)+3x=37

simplifythe left side:

2x +2 +3x = 37

Combine like terms:

5x +2 = 37

Subtract 2 from both sides:

5x = 35

Divide both sides by 5:

x = 7

5 0

3 years ago

Read 2 more answers

HELP ASAP!!!

artcher [175]

The answer will be d but I am not fully sure.

8 0

2 years ago

What is the slope of the line that passes through the points(7,-9) and (15,-29)?

Alex Ar [27]

(Y-Y1)/(X-X1)
(-9-(-29))/(7-15)
20/-8
-2 1/2
The slope is -2 1/2

3 0

3 years ago

Can somebody help me with this?

Natasha_Volkova [10]

Step-by-step explanation:

Hey there!

By looking through figure, l and m are parallel lines and a transversal line passes through the lines.

Now,

7x + 12° = 12x - 28°( alternate angles are equal)

12°+28° = 12x - 7x

40° = 5x

$x = \frac{40}{5}$

Therefore, x = 8°

Now,

12x - 28° + 9y - 77 = 180° ( being linear pair)

12×8° - 28° + 9y -77° = 180°

96° - 28° + 9y - 77° = 180°

-9 + 9y = 180°

9y = 180° + 9°

y = 189°/9

Therefore, y = 21°

Therefore, X = 8° and y= 21° .

Hope it helps....

4 0

3 years ago