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Tomtit [17]
3 years ago
5

Given: ∆ABC, m∠C = 90° AL - is an angle bisector m∠ABC = 30°, LB = 18m Find: CL

Mathematics
1 answer:
Vikentia [17]3 years ago
4 0

Answer:

60

Step-by-step explanation:

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Solve the system by substitution.<br> [-2.5x+y = 13.5<br> 12.25x - y=-12.25
IrinaK [193]

Answer:

x = 5/39 , y = 539/39

Step-by-step explanation:

Solve the following system:

{y - 2.5 x = 13.5

12.25 x - y = -12.25

In the first equation, look to solve for y:

{y - 2.5 x = 13.5

12.25 x - y = -12.25

y - 2.5 x = y - (5 x)/2 and 13.5 = 27/2:

y - (5 x)/2 = 27/2

Add (5 x)/2 to both sides:

{y = 1/2 (5 x + 27)

12.25 x - y = -12.25

Substitute y = 1/2 (5 x + 27) into the second equation:

{y = 1/2 (5 x + 27)

1/2 (-5 x - 27) + 12.25 x = -12.25

(-5 x - 27)/2 + 12.25 x = 12.25 x + (-(5 x)/2 - 27/2) = 9.75 x - 27/2:

{y = 1/2 (5 x + 27)

9.75 x - 27/2 = -12.25

In the second equation, look to solve for x:

{y = 1/2 (5 x + 27)

9.75 x - 27/2 = -12.25

9.75 x - 27/2 = (39 x)/4 - 27/2 and -12.25 = -49/4:

(39 x)/4 - 27/2 = -49/4

Add 27/2 to both sides:

{y = 1/2 (5 x + 27)

(39 x)/4 = 5/4

Multiply both sides by 4/39:

{y = 1/2 (5 x + 27)

x = 5/39

Substitute x = 5/39 into the first equation:

{y = 539/39

x = 5/39

Collect results in alphabetical order:

Answer: {x = 5/39 , y = 539/39

5 0
3 years ago
A shape is made of 12 right triangles of equal size each right triangle has a base of 4 centimeters and a height a 5-cm what is
mart [117]

Answer:

120\ cm^2

Step-by-step explanation:

The area (A_t) of a triangle is equal to half the product of its length (L) because of its height (h).

A_t = 0.5h*L

The base of the triangles is L = 4\ cm

The height of the triangles is h = 5\ cm

Then the area of one of the triangles is:

A_t = 0.5(4)(5)\\A_t = 10\ cm^2

The figure is formed by 12 equal triangles, then the area of the figure (A_f) is:

A_f = 12(A_t)\\A_f = 12(10)\\A_f = 120\ cm^2

3 0
3 years ago
Read 2 more answers
Solve for x x + 6=18
Verizon [17]
X=12

This is because you subtract 6 from both sides to get the x isolated.

So x=18-6

x=12 :)
6 0
3 years ago
The distance between each base on a baseball field is 90 feet. what is the approximate distance from second base to home plate
Veronika [31]

The answer is 127.3 feet

5 0
3 years ago
Read 2 more answers
-3X + 12 &gt; 48 <br> Answers <br> A)X&gt;12<br> B)X&gt;-12<br> C) c&lt;12<br> D)x&lt;-12
Sever21 [200]

Answer:

d: x less than -12

Step-by-step explanation:

negative times negative equals positive so 12 x 3 equals 36 + 12 = 48. Your welcome (pls give brainliest)

7 0
3 years ago
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