Answer:
The length of side <em>b</em> is 9.
Step-by-step explanation:
Triangles are similar if they have the same shape, but can be different sizes.
When two figures are similar, the ratios of the lengths of their corresponding sides are equal.
If you know that two objects are similar, you can use proportions and cross products to find the length of an unknown side. We know that the triangle 
is similar to the triangle 
. Therefore the following relation must be true:
We know that side 
is equal to 8, side 
is equal to <em>b, </em>side 
is equal to 
, and side 
is equal to 3.
Substituting these values into the above relation and solving for <em>b</em> we get that:
First substitute
(3)(4)/4
then simplify.
12/4
then solve
3
Answer:
Step-by-step explanation: Since the given problem states that the two angles, angle 1 and angle 2 form a linear pair, this means that they form a 180° line, so that:
measure angle 1 + measure angle 2 = 180°
Since measure of angle 2 is six more than twice the measure of angle 1, therefore:
measure angle 2 = 2 (measure angle 1) + 6
hence, substituting this into the first equation:
measure angle 1 + 2 (measure angle 1) + 6 = 180
3 (measure angle 1) = 174
measure angle 1 = 58°
Therefore,
measure angle 2 = 2 (measure angle 1) + 6
measure angle 2 = 2 (58°) + 6
measure angle 2 = 122*
Given multiplication:
(3√6 - √2)(4√2 - √6)
= 3√6(4√2-√6)-√2(4√2-√6)
= 3√6*4√2 - 3√6*√6 - √2*4√2 + √2*√6
= 12√12 -3√(6*6) -4√(2*2) + √(2*6)
= 12√(4*3) - 3√(36) - 4√(4) + √(12)
= 12*2√3 - 3*6 - 4*2 + 2√3
= 24√3 - 18-8 +2√3
= 24√3 + 2√3 - 18-8
= 26√3 - 18-8
= 26√3 - 26
= 26(√3-1).
<u>Answer</u><u>:</u><u>-</u> (3√6 - √2)(4√2 - √6) = 26(√3-1)
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Hello there!
A C method : you multiply the A and C -> find the factors of AC that can add up to B. (a² + bx + c)
15a² + 14a - 8
you multiply 15 and -8 = -120
Find the two factors of -120 that adds up to 14.
We could used 20 and -6.
So we can split the original equation to this:
15a² + 20a - 6a - 8
Now, we use grouping method.
Let's group 15a² + 20a and -6a - 8.
15a² + 20a can be factored like this :
5a(3a + 4)
-6a - 8 can be factored like this :
-2(3a + 4)
So it is 5a(3a + 4) × -2(3a + 4)
We can simplify this into this :
(5a - 2)(3a + 4)
So your final answer is (5a - 2)(3a + 4).
Hope this helped! :)
