<h3>
Answer: x = 4</h3>
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Explanation:
Use the remote interior angle theorem. This says a pair of interior angles always add to the measure of the exterior angle that is not adjacent to any of the interior angles, so basically what your diagram is showing.
(interior angle C) + (interior angle D) = exterior angle
(46) + (-1+8x) = 18x+5
8x+45 = 18x+5
8x-18x = 5-45
-10x = -40
x = -40/(-10)
x = 4
Answer:
It depends on the situation being modeled.
Step-by-step explanation:
Assuming the vertex (8.33,236.67) is on a quadratic curve modeling height of an object in feet after t seconds.
Then t=8.33s is the time the object reached the maximum height.
The maximum height is the y-value of the vertex, which is 236.67 feet.
In this case the quadratic curve opens downwards.
The vertex is then the maximum point on this curve.
Answer: =17⁄50
Step-by Step by step Explanation:
Step 1: 0.34 = 34⁄100
Step 2: Simplify 34⁄100 = 17⁄50
Given: £90 is divided among Aahil, James and Merav in the ratio 1:3:5.
To find: How much Merav gets.
Answer:
Let's assume the shares of each to be 'x'.
This implies that 1x + 3x + 5x = 90.
9x = 90
x = 90/9
x = 10
Substituting this value of x in the ratio,
- 1 × 10 = 10 [<em>Aahil's share</em>]
- 3 × 10 = 30 [<em>James' share</em>]
- 5 × 10 = 50 [<em>Merav's share</em>]
Therefore, Merav gets £50.
Hope it helps. :)
Answer:
Clyde is 49.74 away from the harbor
Step-by-step explanation:
Here in this question, we are interested in knowing the distance of Clyde from the harbor.
The key to answering this question is having a correct diagrammatic representation. Please check attachment for this.
We can see we have the formation of a right angled triangle with the distance between Clyde’s ship and the harbor the hypotenuse.
To calculate the distance between the two, we shall employ the use of Pythagoras’ theorem which states that the square of the hypotenuse is equal the sum of the squares of the two other sides.
Let’s call the distance we want to calculate h.
Mathematically;
h^2 = 25^2 + 43^2
h^2 = 625 + 1849
h^2 = 2474
h = √2474
h = 49.74 miles
