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daser333 [38]
3 years ago
10

Can someone please explain how to find x in this trapezoid

Mathematics
1 answer:
vladimir1956 [14]3 years ago
6 0

Answer:

5x - 20 is the length of the median

The length of the median = (short side + long side) / 2

5x -20 = (2x +6 + 4x + 2) / 2

5x -20 = (6x +8) / 2

10x -40 = 6x + 8

4x = 48

x = 12

Step-by-step explanation:

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Anything can solve this
prohojiy [21]

Answer:

64.87° = 65°{ to the nearest degree}

Step-by-step explanation:

From the figure Catherine is standing 105m from the point B where the Ballon is; this description fits a= 105 m from the diagram.

Similarly Aisha is standing 95m from the point B where the Ballon is; this description fits c= 95 m from the diagram

A = ? ( The angle of elevation of Aisha towards the balloon)

C = 55°

From Sine rule

It states that the sine of an angle divided by its corresponding side is equal for all corresponding angles and sides along the triangle.

This is expressed mathematically as;

Sin A/ a= SinB/ b= SinC/c

We take the pairs of relevance;

Sin A/ a = SinC/c

There SinA = SinC/c × a

=Sin55/95 × 105

= 0.9053

A = Sin^(-1)[0.9053]

A = 64.87° = 65°{ to the nearest degree}

6 0
3 years ago
In AGHI, h = 300 inches, G=30° and H=29º. Find the length of i, to the nearest<br> inch.
dalvyx [7]

Given:

In triangle GHI, h = 300 inches, G=30° and H=29º.

To find:

The length of i.

Solution:

We have, G=30° and H=29º.

Using angle sum property, we get

m\angle G+m\angle H+m\angle I=180^\circ

30^\circ+29^\circ+m\angle I=180^\circ

59^\circ+m\angle I=180^\circ

m\angle I=180^\circ-59^\circ

m\angle I=121^\circ

According to Law of sines,

\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}

Using Law of sines, we get

\dfrac{h}{\sin H}=\dfrac{i}{\sin I}

\dfrac{300}{\sin 29^\circ}=\dfrac{i}{\sin 121^\circ}

\dfrac{300}{0.4848}=\dfrac{i}{0.8572}

Multiply both sides by 0.8572.

\dfrac{300}{0.4848}\times 0.8572=i

530.44554=i

i\approx 530

Therefore, the length of i is about 530 inches.

6 0
3 years ago
1. Evaluate the following:<br> a) 249 =<br> b) - 100<br> c) 10 + 7169
mario62 [17]

Answer:

a) 249 = 249 or 2.49 × 10²

b) - 100 = - (10)²

c) 10 + 7169 = 7179

Step-by-step explanation:

3 0
4 years ago
Which negative angle is equivalent to 275°?<br> O A. -75°<br> OB. -65°<br> O C. -95°<br> OD. -85
Zarrin [17]

Answer:

-85º

Step-by-step explanation:

275 - 360 = -85

8 0
3 years ago
The house has a form of a rectangle with one side two and a half times as long as the other side.
Studentka2010 [4]

Answer:

A. (x*2.5)*x

B. (32*2.5)*32=2560

Step-by-step explanation:


4 0
4 years ago
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