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Alex Ar [27]
3 years ago
12

What is the length of the the midsegment of a trapezoid with bases of length 14 and 24​?

Mathematics
2 answers:
krek1111 [17]3 years ago
6 0

Step-by-step explanation:

Length \: of \: midsegment \\  =  \frac{1}{2}  \times sum \: of \: lengths \: of \: bases \\  \\  = \frac{1}{2}  \times(14 + 24) \\  \\  = \frac{1}{2}  \times38 \\  \\  = 19  \: units

lesya [120]3 years ago
5 0

Answer:19

Step-by-step explanation:The midsegment of a trapezoid connects the midpoints of the two congruent sides of the trapezoid, and is parallel to the pair of parallel sides.Therefore , to find the length of the midsegment , all we need do is to add the two bases together and divide by two , that is :

Length of mid segment = \frac{14+24}{2}

Length of mid segment = \frac{38}{2}

Length of mid segment = 19

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FG ∥ CB, A ∈ FG, D ∈ AB, E ∈ AC
andrey2020 [161]

Answer:

The value of x is 31^{\circ}.

Step-by-step explanation:

Please look at the figure attached to get more clear solution.

We have given:

FG||CB

And the line that cut the parallel line is transversal so, here BA is transversal

And alternate interior angles on transverse line are equal

So, ∠1=∠4

And ∠4=28^{\circ}

Hence,  ∠1=∠4=28^{\circ}

And On FG the sum of angles will be 180^{\circ}

∠3+∠2+∠1=180^{\circ}

90^{\circ}+∠2+28^{\circ}=180^{\circ}

Hence, ∠2=62^{\circ}

Now, we know that the sum of interior angles is equal to the exterior angle:

Therefore, ∠2+∠5=∠6+∠7

62^{\circ}+3x=x+4x

On simplification we get:

2x=62^{\circ}

x=31^{\circ}

Hence, the value of x is 31^{\circ}.

3 0
3 years ago
Solve for y. Answer to the nearest tenth
AysviL [449]

Answer:

y = 11.5

Step-by-step explanation:

Given 2 secants from an external point to the circle.

Then the product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

6(6 + y) = 5(5 + 16)

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7 0
2 years ago
TRUE OR FALSE: <br> An isosceles trapezoid is a trapezoid with congruent legs.
dem82 [27]

Answer:

True

Step-by-step explanation:

If a quadrilateral (with one set of parallel sides) is an isosceles trapezoid, its legs are congruent.

4 0
2 years ago
Read 2 more answers
Solve -2/3x &gt; 8 or -2/3x &lt; 4.
vekshin1
<h3>Answer: Choice C</h3>

{x | x < -12 or x > -6}

=========================================================

Explanation:

Let's solve the first inequality for x.

(-2/3)x > 8

-2x > 8*3

-2x > 24

x < 24/(-2)

x < -12

The inequality sign flips when we divide both sides by a negative value.

Let's do the same for the second inequality.

(-2/3)x < 4

-2x < 4*3

-2x < 12

x > 12/(-2)

x > -6

The conclusion of each section is that x < -12 or x > -6 which points us to <u>choice C</u> as the final answer.

Side note: The intervals x < -12 and x > -6 do not overlap in any way. There's a gap between the two pieces. We consider these intervals to be disjoint. The number line graph is below.

8 0
2 years ago
Connor earns $23 every 1.5 hours. How many dollars would he earn after working 3 hours and 6 hours
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92 for 6 hrs, and 46 for every 3.
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