<h2>
<u>Sol</u><u>ution</u><u>:</u></h2>
Equation: x² + 10x + 21
<u>Step</u><u> </u><u>1</u><u>:</u> Find two numbers that can add up to 10 and be multiplied to 21. We have: 7 & 3, in the sense that 7+3=10, and 7×3=21. Replacing 10 with 7+3, the equation is now → x² + 7x + 3x + 21
<u>Step</u><u> </u><u>2</u><u>:</u> Get the new equation bracketed → (x² + 7x) (+3x + 21)
<u>Step</u><u> </u><u>3</u><u>:</u> Use 'x' in the equation. For the first part, we have 'x'. x² = x × x so, bring out one x out side the bracket, divide 7x by = 7 → x (x +7). Do the same for the second part by dividing 21 by 3 = 7, and then bringing out 3 from the bracket → 3 (x + 7).
Bringing everything together, we have: x(x+7) +3(x+7) → (x+3) (x+7)
<h3>
<u>Final</u><u> </u><u>ans</u><u>wer</u><u>:</u></h3>
(x+3) (x+7)
<h3 />
The vertices of the quadrilateral ABCD lie on the sides of quadrilateral PQRS then the sum of the degree of measures of the eight indicated angles would be 360.
answer:
1. second choice
2. i'm not sure about this one, but i know it's not the second choice :)
3. first choice
4. second choice
i attached a image example if you need more help on it. hope this helps! ❤ from peachimin.
Answer:
<em>No, there are no inscribed angle in this diagram; Option D</em>
Step-by-step explanation:
<em>~ Let us apply process of elimination to solve this problem ~</em>
Option 1. This first example states firstly that m∠SRT is an inscribed angle. That is not true, by definition an inscribed angle is an angle created by two chords that share a common endpoint. Neither RS nor RT are chords, in fact they each are radii, creating a central angle instead.
Option 2. m∠RST is not created by two chords, instead by arc ST and radii RS ⇒ and I believe I am not familiar with what angle it is reffered to, if at all it is named.
Option 3. As stated before, ∠SRT is not an inscribed angle; by definition an inscribed angle is an angle created by two chords that share a common endpoint, and neither RS nor RT are chords.
Option 4. Through elimination, Option D is the only possible answer left: <em>Answer: No, there are no inscribed angle in this diagram</em>
