(2x + 3) + (x+1) + (3x-10) = 180
6x - 6 = 180
6x = 186
x= 31
Given:
The angle of H=90°, HF=91 feet, and GH = 50 feet.
The objective is to find the measure of angle<em> F.</em>
In the given right angled triangle, the side opposite to the requierd angle is called opposite side, and the other smaller side is called adjacent side.
The trigonometry formula which relates with the opposite and adjacent side is,

Now substitute the value of opposite and adjacent in the above formula to find the value of angle <em>F</em>.

Hence, the value of angle <em>F</em> is 29 degree.
To start, we're given the range that x lies in: from -1 to 4. We know from the fact that

that -1 will be <em /><em>included</em> in that range, so we mark -1 on the number line with a solid circle. We also know from

that, while x can be any value <em>up to</em> 4, it does not <em>include </em>4. We indicate this by drawing a hollow circle around 4 on the number line. Since x can be <em>any value within this range</em>, we make that fact clear by drawing a bold line between the points -1 and 4 on the number line. I've attached an image of what our final graph would look like.
Answer:
There are 9 boys in the choir
Step-by-step explanation:
To solve this, create two equivalent fractions with the information given
boys 3 x
------- = ------ = ------
girls 4 12
Then, cross-multiply
4x = 3(12)
4x = 36
x = 9