<h3>
Answer: x = 55</h3>
Explanation:
For any right triangle, the two acute angles add to 90 degrees. This means the angles are complementary.
x+35 = 90
x = 90-35
x = 55
Or you could use the idea that all three angles of a triangle add to 180
x+35+90 = 180
x+125 = 180
x = 180 - 125
x = 55
Either way we get the same result.
Answer:
b = 1/4
Step-by-step explanation:
- Take the given fractions : 3/2 and 7/4 and find a common denominator.
We will use 4 as a common denominator.
- In order for the denominator of 3/2 to get to 4, you need to multiply by 2.
3 × 2 = 6 2 × 2 = 4
<em>Now we have the equation 6/4 + b = 7/4</em>
<em />
Answer:
4 plants
Step-by-step explanation:
In this problem, we are given the total area of the garden, which is:
The number of plants that can fit inside the garden is given by the equation:
where:
n is the number of plants
a is the area of each plants
In this problem, the area of each plant is
Therefore, we can re-arrange the equation to find the number of plants that can fit:
Answer:
Step-by-step explanation:
By the definition of a square, all the sides are the same. Our figure is marked as such. Because of this characteristic, that congruency makes the top segment of the square parallel to the bottom segment. That makes x and the vertex (top) angle in the triangle on the right congruent (these are called alternate interior angles and they are congruent when they lie on opposite sides of a transversal that cuts a pair of parallel lines).
Also, due to the nature of this type of triangle which is an isosceles triangle, both the acute angles in each triangle are congruent and the other angle is a right angle. The Pythagorean Triple for the sides in this type of triangle, which is a 45-45-90, is, from shortest side to longest side, (x, x, x√2). That means that x is a 45 degree angle.
To find the value of y, we use the Pythagorean Triple. If the side is 10.9, then the hypotenuse is 10.9√2
Choice A is the one you want.
Answer:
A)
Step-by-step explanation: