Answer:
Obtuse triangle
Step-by-step explanation:
<em>The longest side of the triangle is 26 in, so that will be the hypotenuse</em>.
By an extension of the Pythagorean theorem:
- <em>Right triangle: a² + b² = c²</em>
- <em>Acute triangle: a² + b² > c²</em>
- <em>Obtuse triangle: a² + b² < c²</em>
Where a and b are the legs, and c is the hypotenuse.
Plug in: 3.5² + 25² ₙ 26²
Powers: 12.25 + 625 ₙ 676
Add: <em>637.25 < 676</em>.
That means that this triangle is obtuse.
<u>Given</u><u> </u><u>:</u><u>-</u>
- A triangle is given to us .
- The two sides of the triangle are equal .
<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u>
<u>Solution</u><u> </u><u>:</u><u>-</u>
As we know that the angles opposite to the equal sides are equal . Hence the measure of two base angles will be 8x - 23° . Also we know that the angle sum property of a triangle is 180° . So ,
8x - 23° + 8x -23° +34°=180°
16x -12° = 180°
16x = 180° + 12°
16x = 192°
x = 12°
<u>Hence</u><u> the</u><u> </u><u>required</u><u> answer</u><u> is</u><u> </u><u>1</u><u>2</u><u>°</u><u> </u><u>.</u>
5. The contrapositive is the equivalent one.
If P then Q
becomes
If not Q then not P.
We have P: student plays basketball and Q: student is over 6 feet so we're looking for
If the student isn't over 6 feet then the student doesn't play basketball
Answer: 2nd one
6.
That's the addition property of equality, second choice. We add 4 to both sides of an equation to get an equally valid equation.
It's also technically the subtraction property because we could subtract -4 from both sides. They're probably looking for the other answer.
Answer:
.45<.66
Step-by-step explanation:
If its greater than or less than