Answer:
2. Substitution property
3. Given
4. Definition of congruent angles
5. Substitution property
6. Subtraction property of equality
7. Definition of congruent angles
8. Given
9. Definition of equilateral triangle
11. SAS (10, 7, 9)
Step-by-step explanation:
Answer:
![\frac{2}{\sqrt{5} }](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B%5Csqrt%7B5%7D%20%7D)
Step-by-step explanation:
To solve this, all we need to do is draw a triangle.
From the
we can deduce that ![tan(x)=\frac{2}{1}](https://tex.z-dn.net/?f=tan%28x%29%3D%5Cfrac%7B2%7D%7B1%7D)
From that, we can draw our triangle as we know that tan(x) is the opposite side over the adjacent side. Attached is that triangle. Through the Pythagorean Theorem, we can find that the hypotenuse of this right triangle is ![\sqrt{5}](https://tex.z-dn.net/?f=%5Csqrt%7B5%7D)
Now all we need to do is take the sin of this triangle, which is the opposite side over the hypotenuse
This gives us the value of
which is our answer.
<span>Benchmark fractions are created when we make two different fractions have the same numerator or denominator. In thisi case, we will produce the same denominator. The LCM of 10 and 12 is 60. So the fractions become 42/60 and 25/60. Since the fraction with the larger numerator has a larger value when the denominators are the same, 7/10 is larger than 5/12.</span>
Factor the polynomial:
4u² – 20u + 25
Rewrite – 20u as – 10u – 10u, and then factor it by grouping:
= 4u² – 10u – 10u + 25
= 2u * (2u – 5) – 5 * (2u – 5)
= (2u – 5) * (2u – 5)
= (2u – 5)² <––– this is the answer.
I hope this helps. =)
X=- 115/24
hope this helps :)