1. ∠ADC is right angle, then 
2. Angles ADB and BDC are complementary, then
3. You know that ∠BDC is 32° greater than ∠ ADB. Let 
then 
Since 
you have that
This gives you:
Answer:
Step-by-step explanation:
P=2a+b
Solve for a.
Divide both sides by 2 to isolate a.
P=2a+b
P/2=a+b/2
When you rewrite the equation, it becomes:
a=P/2-b/2 (The sign changes from a positive to a negative because you need to move P/2 to the other side to get a to one side)
Therefore, your final answer is: a=P/2-b/2
Hope this helped!
Answer:
Option A
Step-by-step explanation:
To find all missing sides of a right triangle we use the sine, cosine or tangent ratio as below,
sinθ = 
cosθ = 
tanθ = 
Now we take an angle measuring 60°
sin(60°) = 
y = 4√3
tan(60°) = 
√3 =
x = 2√3
Therefore, Option A will be the correct option.
Answer: -2(5) over -1(6)
Step-by-step explanation:
1. X^2 - 3x - 10
X + 2 = 0 ⇒ −2
X1 = X − 5 = 0 ⇒ X2 = 5
2. X^2 - 5x - 6
X + 1 = 0 ⇒ X1 = −1
X − 6 = 0 ⇒ X2 = 6
Answer:
2010
Step-by-step explanation:
If the numbers are x and y, you have ...
x +y = 97
x -y = 37
Adding these two equations gives ...
2x = 134
x = 67
y = 67 -37 = 30
The product is then ...
xy = (67)(30) = 2010
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<em>Alternate solution</em>
There is no need to find the actual numbers. We can go directly to their product.
(x+y)² = x² +2xy +y² = 97² = 9409
(x-y)² = x² -2xy +y² = 37² = 1369
Subtracting the second equation from the first gives ...
4xy = 9409 -1369 = 8040
xy = 8040/4 = 2010
Of course the difference of squares can be factored, so we could compute ...
(97² -37²)/4 = (97 +37)(97 -37)/4 = 134(60)/4 = 134(15) = 2010
