Answer:
The final degree is 90
Step-by-step explanation:
Because every triangle equals up to 180 degrees.
Answer:
D
Step-by-step explanation:
first find the perimeter of both triangles
Original perimeter: 72 in
scaled perimeter: 24 in
A is wrong since the scaled perimeter is actually smaller.
B is wrong because its not 6 times smaller
C is wrong since it's not 1/9 of the original
D is correct since the scaled is a 1/3 of the original perimeter (72*1/3 = 24)
Answer:
3x² - 12x - 36
= 3(x - 6)(x + 2)
Step-by-step explanation:
3x² - 12x - 36 Find any common factor. All terms are divisible by 3.
= 3(x² - 4x - 12) Find two numbers that sum to -4 and whose product is -12. Replace -4 with these two numbers.
= 3(x² - 6x + 2x - 12) Group the terms splitting from the middle
= 3( (x² - 6x) + (2x - 12) ) Find the common factor in each group.
= 3( x(x - 6) + 2(x - 6) ) The groups have a common factor (x - 6).
= 3( (x - 6)(x + 2) ) Remove the extra brackets
= 3(x - 6)(x + 2) Fully factored
The solution of the equation is x=3 or x=-5.
Given that the equation is (x+2)²-2(x-+2)-15=0 and use u substitution method to solve.
Let's assume that the (x+2)=u.
The given equation is rewritten as u²-2u-15=0.
Factorize the quadratic equation by adding or subtracting two number that gives the sum of -2u and product 15u² as
u²-5u+3u-15=0
u(u-5)+3(u-5)=0
Taking out (u-5) as common and get
(u-5)(u+3)=0
Compare each equation with 0 and get
u-5=0 or u+3=0
u=5 or u=-3
Performing back substitution by substituting the values of u in x+2
when u=5 then x is
x+2=5
x=3
And when u=-3 then x is
x+2=-3
x=-5
Hence, the solutions of the (x+2)²-2(x-+2)-15=0 is x=3 and x=-5.
Learn about the substitution here brainly.com/question/12802700
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