Answer:
See pictures attached
Step-by-step explanation:
The conjunction is given by the intersection of 2 inequalities
-5 < x (or x > -5)
that is the set of real number such that x greater than -5, graphically is represented by picture 1 attached (the parentheses means that -5 IS NOT included)
and the inequality
x ≤ 7
which is the set of real number such that x less than or equal to 7, represented in picture 2 attached (the bracket means that 7 IS included)
When we intersect the two sets we obtain
– 5 < x ≤ 7
that is the set of numbers x such that x is greater than -5 AND x less than or equals to 7, which graphically is represented in picture 3 attached.
Since a triangle equals 180°
We know that x and y angles are the same.
And that 55° + 30° + y = 180°
We just subtract!
sooo
180 - 55 - 33 = 95
So this means y = 95°
And x and y equal the same measurement.
sooo you answer is...
<span>x = 95°
</span>
love, the Pineapple <3
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<span>(_)
:D</span>
Answer:
The door has a width of 6.26 feet, with a height of 12.52 feet.
Step-by-step explanation:
You can solve this by taking two pieces of information we're given:
1) the diagonal size of the doorway is 14 feet
2) the height of the doorway twice its width
First lets describe the width and height using the diagonal length. We can do that with the Pythagorean theorem:
w² + h² = 14²
Now we can use the relationship between the width and height to eliminate one variable:
w² + (2w)² = 14²
w² + 4w² = 14²
5w² = 196
w² = 39.2
w ≈ 6.26
So the door has a width of 6.26 feet, with a height of double that, 12.52 feet.
.4=2/5
80=2
X =5
2x=400
X=200
