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Vika [28.1K]
4 years ago
12

Which best describes the structure outlined in the bridge.

Mathematics
2 answers:
laila [671]4 years ago
6 0
<span>It is a trapezoid because it has exactly one pair of opposite sides that is parallel.</span>
S_A_V [24]4 years ago
5 0

Answer:  The correct option is:

(D) It is a trapezoid because it has exactly one pair of opposite sides that is parallel.

Step-by-step explanation:  We are given to select the statement that best describes the structure outlined in the bridge.

The definitions of a parallelogram and a trapezoid are as follows:

<u>PARALLELOGRAM: </u> A  Parallelogram is a quadrilateral having opposite sides parallel and congruent.

<u>TRAPEZOID: </u> A trapezoid is a quadrilateral having one pair of opposite sides parallel.

We can see in the given figure,

the structure outlined in the bridge has only one pair of opposite sides parallel.

So, it must be a TRAPEZOID.

Therefore, the given structure is a trapezoid because it has exactly one pair of opposite sides that is parallel.

Thus, (D) is the correct option.

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What is the area of ABC?
notsponge [240]

Let D be the Intersection of Height of the Triangle and Base of the Triangle BC

From the Figure, We can notice that Triangle ADB is a Right angled Triangle.

We know that, In a Right angled Triangle :

\bigstar  (Hypotenuse)² = (First Leg)² + (Second leg)²

In Triangle, ADB : AB is the Hypotenuse, AD is the First leg and BD is the Second leg

Given : AB = 15 and BD = 9

Substituting the values, We get :

:\implies  (15)² = (AD)² + (9)²

:\implies  225 = (AD)² + 81

:\implies  (AD)² = 225 - 81

:\implies  (AD)² = 144

:\implies  (AD)² = (12)²

:\implies  AD = 12

We know that, In a Right angled Triangle :

\bigstar\;\;\boxed{\mathsf{Tan\theta = \dfrac{Opposite\;Side}{Adjacent\;Side}}}

Now, Consider Triangle ADC : With respect to 45° Angle, AD is the Opposite Side and DC is the Adjacent Side

:\implies \mathsf{In\;Triangle\;ADC,\;Tan45^{\circ} = \dfrac{AD}{DC}}

\mathsf{:\implies 1 = \dfrac{12}{DC}}

:\implies  DC = 12

:\implies  Total Length of the Base (BC) = BD + DC

:\implies  Total Length of the Base (BC) = 9 + 12

:\implies Total Length of the Base (BC) = 21

We know that, Area of the Triangle is given by :

\bigstar\;\;\boxed{\mathsf{Area = \dfrac{1}{2} \times Base \times Height}}

In Triangle, ABC : AD is the Height and BC is the Base

:\implies \mathsf{Area\;of\;the\;Triangle\;ABC = \dfrac{1}{2} \times BC \times AD}

:\implies \mathsf{Area\;of\;the\;Triangle\;ABC = \dfrac{1}{2} \times 21 \times 12}

:\implies \mathsf{Area\;of\;the\;Triangle\;ABC = (21 \times 6)}

:\implies \mathsf{Area\;of\;the\;Triangle\;ABC = 126}

7 0
4 years ago
An object that is translated 5 units to the right would be written as y + 5. True False
Sveta_85 [38]
This is false. the answer should be x+5 
3 0
4 years ago
Keenan backed 25 cookies with 5 scoops of flour. how many scoops of flour does Keenan need in order to bake 40 cookies?Assume th
marshall27 [118]

Answer:

8 scoops of flour

Step-by-step explanation:

Set up a proportion so,

(5/25)=(x/40) *Solve for X*

25x = 200

x = 8

5 0
3 years ago
Please Help 6th Grade Math! Box Plots! 2 questions (Image attached)​
tangare [24]

Answer:

First answer is 14

Second answer is 25

Step-by-step explanation:

Median is the middle ( 1 2 3 4 5 the median would be 3)

You start at 2 and end at 27

List all the numbers from 2 to 27 and come from both ends until you get to the middle number(s)

In this case there are two 14 & 15

14+15=29 29÷2=14.5

Since there are no decimal answers you are left with 14

Range you take the two end numbers and subtract them (27 & 2)

27-2=25

Hopefully this helps!

4 0
3 years ago
HELP WILL GIVE BRANLIEST!
Vesna [10]

Answer:

I'm pretty positive it's All real answers?

7 0
3 years ago
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