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yanalaym [24]
3 years ago
12

Basic geometry help!!!!!

Mathematics
1 answer:
son4ous [18]3 years ago
4 0
It is a paralellogram 

and the sum of angles of any quadrelateral = 360

14 x+ 14 x + 6x +6x = 360
40 x = 360  

x= 360/40= 9 
 14x =  14* 9 =  126

6x = 6 * 9 = 54 

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Given that a = -2 and b = 7 ,evaluate the following algebraic expression <br><br> (1) a(b2 -a)
marishachu [46]

Answer:

-2(14--2)

-2*19

38.

I think this is the correct answer. Thanks

8 0
3 years ago
Read 2 more answers
The three sides of a triangle are 4cm, 6cm and 8cm.
yarga [219]

Answer:

In bold below.

Step-by-step explanation:

(a) The largest angle is opposite the largest side.

So by the Cosine Rule:

8^2 = 4^2 + 6^2 - 2*4*6 cos x

cos x =  (8^2 - 4^2 - 6^2) / (-2*4* 6)

= -0.25.

x = 104.48 degrees.

(b) Area of the triangle = 1/2 * 4 * 6 sin 104.48

= 11.62

= 3 √15.

(c)  The shortest altitude will have the longest sides as the base.

Area = 1/2 * altitude * base

3√15 = 1/2 * 8 * a

a = 3√15 / 4 cm

= 0.75√15 cm.

6 0
3 years ago
Tan2(θ) − 3 = 0<br> Find all solutions for the given equation.
kondaur [170]
Hello :
tan²(θ) = 3.. equi : tan(θ) = √3  or tan(θ) = -√3
1 ) tan(θ) = √3
tan(θ) = tan(<span>π/3)
</span>θ = π/3 +kπ  k in Z
2)tan(θ) = -√3
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4 0
2 years ago
My brain stopped. Please help
Over [174]

Answer:

∠1 = 90°

∠2 = 66°

∠3 = 24°

∠4 = 24°

Step-by-step explanation:

Usually the diagonals of a rhombus bisect each other at right angles.

Thus; ∠1 = 90°

Since they bisect at right angles, then;

∠R1S = 90°

Now, sum of angles in a triangle is 180°

Thus;

66° + 90° + ∠4 = 180°

156 + ∠4 = 180

∠4 = 180 - 156

∠4 = 24°

Now, also in rhombus, diagonals bisect opposite angles.

Thus; ∠4 = ∠3

Thus, ∠3 = 24°

Similarly, the diagonal from R to T bisects both angles into 2 equal parts.

Thus; ∠2 = 66°

6 0
2 years ago
What is the surface area of this right prism?
Amiraneli [1.4K]

Answer:

Since the 'base' and 'top' of any prism have the same shape, the surface area can be found by

surface area of prism = 2 * area of base + perimeter of base * H

So for the rectangular prism in your example..

surface area = 2LW + 2(L+W)H

= 2 * 7 * 4 + 2*(7+4)*5

= 56 + 2 * 11 * 5

= 56 +110

= 166 sq cm

Hope this helps

5 0
2 years ago
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