Step-by-step explanation:
The Triangle Sum Theorem states that the interior angles of a triangle add up to 180 degrees. A square for an angle symbolizes that the angle is 90 °, as is the case with angle ∠ACB.
Therefore, as ∠CAB = 2x and ∠ABC = 3x, and angles ∠ACB, ∠CAB, and ∠ABC make up the interior angles of the triangle, we can say that ∠ACB + ∠CAB + ∠ABC = 180, so 90 + 2x + 3x = 180
90 + 2x + 3x = 180
90 + 5x = 180
subtract 90 from both sides to separate the x and its coefficient
5x = 90
divide both sides by 5 to separate the x
x = 18
(a) ∠CAB = 2x = 18(2) = 36
(b) ∠ABC = 3x = 18(3) = 54
(c) Any triangle with a 90° angle is called a right triangle. This has a 90° triangle, and is therefore a right triangle. Similarly, a 90° angle in a triangle is called a right angle.
Answer:
the answer is -1 its 1 Because you divide
Answer:
1010 base 9 Changing from base to decimal we start from left side digit and multiply by base
1000 * 9^3 = 729
1 * 9 = 9
We sum and get 738
85 base 9 =
8 * 9 = 72
5 = 5
We sum 72 + 5 = 77 decimal
738 - 77 = 661 decimal
and if the answer must be in base 9 then:
661 decimal = 814 base 9
Step-by-step explanation:
Answer:
probability of chosing a student that has a cat and a dog is 9/25
Step-by-step explanation:
And yes the Venn diagram is wrong because you forgot to subtract 9 from 15 and 16
This makes it
[ 3 ( 6 ( 9 ) 7 ) ]
3 + 6 + 9 + 7 = 25
Answer:
<h2>
25metres</h2>
Step-by-step explanation:
Given the area of the garden in terms of the width modeled by the equation A(x) = -(x-25)²+625 where x is the width of the garden. The side with that will produce the maximum garden area is occurs at when d[A(x)]/dx = 0
Given A(x) = -(x-25)²+625
d[A(x)]/dx =-2(x-25) + 0
Since d[A(x)]/dx = 0
-2(x-25) = 0
open the parenthesis
-2x+50 = 0
-2x = 0-50
-2x = -50
Divide both sides by -2;
-2x/-2 = -50/-2
x = 25metres
<em>Therefore the width of the garden that will produce the maximum garden area is 5metres.</em>
<em></em>
