Answer:
Step-by-step explanation:
Draw a triangle and label the sides (picture below):
● the length is 2x+2
● and the width or the height is 6x
The perimeter of a rectangle is the sum of the sides
● P = 2x+2 + 6x + 2x+2 + 6x
Isolate the similar terms
● P = (2x+2x+6x+6x) + (2+2)
● P = 16x + 4
9514 1404 393
Answer:
D. 86°
Step-by-step explanation:
Points D and F divide the circle into two arcs. The long arc is labeled 274°, and the short arc is the one you're asked to find. You know the total of these two arcs is the full circle, 360°.
274° + DF = 360°
DF = 360° -274°
DF = 86°
__
There are other relationships you can use to find arc DF. One of the simpler ones is ...
DF and the external angle at E are supplementary:
DF = 180° -94° = 86°
Answer:
<em><u>First</u></em><em><u> </u></em><em><u>Column</u></em><em><u> </u></em><em><u>top</u></em><em><u>:</u></em>
5. 3. 10
<em><u>Second</u></em><em><u> </u></em><em><u>Column</u></em><em><u> </u></em><em><u>middle</u></em><em><u>:</u></em>
9. 7. 2
<em><u>Third</u></em><em><u> </u></em><em><u>Column</u></em><em><u> </u></em><em><u>bottom</u></em><em><u>:</u></em>
4. 8. 6
<em><u>Hence</u></em><em><u>,</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>grid</u></em><em><u> </u></em><em><u>would</u></em><em><u> </u></em><em><u>be</u></em><em><u>,</u></em>
5. 3. 10
9. 7. 2
4. 8. 6
The answer to the question is -x-7
If you're only provided with the lengths of a triangle, and you're asked to determine whether or not the triangle is right or not, you'll need to rely on the Pythagorean Theorem to help you out. In case you're rusty on it, the Pythagorean Theorem defines a relationship between the <em>legs</em> of a right triangle and its <em>hypotenuse</em>, the side opposite its right angle. That relationship is a² + b² = c², where a and b are the legs of the triangle, and c is its hypotenuse. To see if our triangle fits that requirement, we'll have to substitute its lengths into the equation.
How do we determine which length is the hypotenuse, though? Knowledge that the hypotenuse is always the longest length of a right triangle helps here, as we can clearly observe that 8.6 is the longest we've been given for this problem. The order we pick the legs in doesn't matter, since addition is commutative, and we'll get the same result regardless of the order we're adding a and b.
So, substituting our values in, we have:
(2.6)² + (8.1)² = (8.6)²
Performing the necessary calculations, we have:
6.76 + 65.61 = 73.96
72.37 ≠ 73.96
Failing this, we know that our triangle cannot be right, but we <em>do </em>know that 72.37 < 73.96, which tells us something about what kind of triangle it is. Imagine taking a regular right triangle and stretching its hypotenuse, keeping the legs a and b the same length. This has the fact of <em>increasing the angle between a and b</em>. Since the angle was already 90°, and it's only increased since then, we know that the triangle has to be <em>obtuse</em>, which is to say: yes, there's an angle in it larger than 90°.
