Answer:
The given triangle ABC is a SCALENE RIGHT - ANGLED TRIANGLE
Step-by-step explanation:
Here, in the triangle ABC
∠A = 90° , ∠B = y+ 40° and ∠C = 3y - 10°
Now, by ANGLE SUM PROPERTY of a triangle:
∠A + ∠B+ ∠C = 180°
or, 90° + ( y+ 40°) +( 3y - 10°) = 180°
or, 4y + 120° = 180°
⇒ 4y = 180° - 120° = 60°
or, y = 60° / 4 = 15 ⇒ y = 15
⇒ ∠B = y+ 40° = 55°
and ∠C = 3y - 10° = 3(15) -10 = 35°
Now, here ∠A = 90° , ∠B = 55° and ∠C = 35°
Since here ∠B ≠ ∠C ≠ 45°
Hence, the given triangle ABC is a SCALENE RIGHT ANGLED TRIANGLE
Answer:
Which of the following correctly completes the following equation:
Nitrogenous base + sugar + phosphate group =
Step-by-step explanation:
Answer:
1 and -2 (has a multiplicity of 2)
Step-by-step explanation:
so since x=-2 is a root then (x+2) is a factor of the polynomial. This means you can divide the polynomial by (x+2) by using synthetic or long division. So for this example I'll using synthetic division which is much more simple than long division
-2 | 1 3 0 -4
-2 -2 4
1 1 -2 0
(x+2)(x²+x-2)
Now you can factor the quadratic into
(x+2)(x-1)
x+2 = 0
x = - 2
x-1 =0
x = 1
Answer:
<h2>4,8 and 16</h2>
Let the three numbers be a,ar, ar^2 ,
where r is the common ratio.
⇒a+ar+ar^2 =28 and a^3 r^3 =512
⇒ar=8⇒a+ar^2 =20
⇒8r^2 −20r+8=0
⇒r=2,r= 1/2
If r=2,a=4
Therefore, the three numbers are 4,8,16.
Step-by-step explanation:
Hope it is helpful.....
Answer:
assume it's width as 'x'
So, it's length is '2x-3'
and the perimeter is equal to 66m
Step-by-step explanation:
So,equalize the equation
x + (2x-3) + x + (2x-3) = 66
remove the brackets
2x + 4x - 6 = 66
add 6 to both sides
6x = 60
x = 60 ÷ 6
= 10
so, the length is 2x-3 = 20 - 3 = 17 m
and the breadth is x = 10 m
