Answer: ABCD is a quadrilateral
To prove : ∠AOB=
2
1
(∠C+∠D)
AO and BO is bisector of A and B
∠1=∠2∠3=∠4...(1)
∠A+∠B+∠C+∠D=360
(Angle sum property)
2
1
(∠A+∠B+∠C+∠D)=180...(2)
In △AOB
∠1+∠3+∠5=
2
1
(∠A+∠B+∠C+∠D)
∠1+∠3+∠5=∠1+∠3+
2
1
(∠C+∠D)
∠AOB=
2
1
(∠C+∠D)
Explanation: In a quadrilateral ABCD. AO and BO are bisectors of angle A and angle B respectively. Prove that ∠AOB=
2
1
{∠C+∠D}.
Answer: Choice C) 10.5
The distance from A to C is 7 units (count out the spaces between the two points, or subtract y coordinates 4-(-3) = 4+3 = 7)
Let AC = 7 be the base of the triangle. You might want to rotate the image so that AC is laying horizontally rather than being vertical.
Now move to point P. Walk 3 spaces to the right until you land on segment AC. This shows that the height of the triangle is 3 when the base is AC = 7.
base = 7, height = 3
area of triangle = (1/2)*base*height
area of triangle = 0.5*7*3
area of triangle = 10.5 square units
Answer:
A) 1,492
B) 1,908
Step-by-step explanation:
A) The equation set up for this part is 1,542-50=1,492 We know that we're subtracting 50 from 1,542 because it say that the plane starts below sea level.
B) The equation set up for this part is 3,400-1,492=1,908 We know that we're subtracting the answer from part A from 3,400 because the plane will need to climb the difference in order to reach 3,400.
Y = 6 + x
We can use this equation to find the total amount of flour that Otto used in the recipe.
The constraints on 'x' and 'y' are that they must both be positive, because we cannot have a negative amount of flour.
<span>And a restraint something like 50 cups of flour total because one person making a recipe won't use that many cups of flour.</span>
Answer:
Samuel has $336 and Zander has $56
Step-by-step explanation:
Samuel = 6x because he has 6 times Zander
Zander = x
Together they have 392
6x + x = 392
7x = 392
Divide both sides by 7
x = 56
Samuel = 6 x 56 = 336
Zander = 56
336 + 56 = 392
