Answer: x = 28
method: You have to get the three missing sides of each shape, one of which you can get straight away because there's a rectangle in the middle and in a rectangle, opposite lines are equal, therefore, the missing length is 10. The other two lengths are the same because the dimensions of each triangle is the same, so you can just find one and multiply it by 2. To find one, you need to use Pythagoras' Theorem (c^2 - b^2 = a^2), so 15^2 - 12^2 = 81, and the square root of 81 is 9. 9 × 2 = 18, so added to the 10 you get your final answer as 28. I hope this helps! Let me know if you need me to explain it more :)
75% is $135
<span>1% is $135/75 </span>
<span>So, 100% is (135/75) x 100 </span>
<span>So, the answer will be: $180 </span>
Answer:
bottom left
Step-by-step explanation:
1) The measure of angle L is 70°<span>
The measure of all the angles of a triangle add up to 180</span>°. You're given two angle measurements: 90° (aka the right angle) and 20° (measure of ∠M). The third angle must be 180°-90°-20°= 70°.
2) The <span>
trigonometric ratio is</span>When you have a right triangle, you can use sine, cosine, and tangent to figure out the lengths of the sides or angle measurements if given enough information.
Remember SOHCAHTOA!
sinθ =
cosθ =
tanθ =
where θ is the angle you determine your adjacent and opposite sides from.
The adjacent side is next to the angle θ (and isn't the hypotenuse) and the opposite side is across from the angle θ. The hypotenuse is the longest side of the triangle and directly across from the 90° angle.
If you look at your picture, LN is opposite ∠M and NM (the angle you're looking for) is adjacent to ∠M, because it isn't the hypotenuse. That means the
trigonometric ratio you need is tangent, since tangent uses both opposite and adjacent.
3) The length of NM is 57.7.Finally solve for the length of NM using tanθ =
. You will be solving for the adjacent side, so start off by rearranging the tangent equation to solve for adjacent:
tanθ =
adjacent(tanθ) = opposite
adjacent =
Now, just plug in the values for θ and the length of the opposite side LN: