Answer:
Step-by-step explanation:
Chelsea is making a kite in the shape of a triangle. To determine if the triangle is a right triangle, Chelsea completed the following steps.
Step 1:
Find the side lengths of the triangle: 30 inches, 24 inches, 18 inches.
Step 2:
Substitute the values into the Pythagorean theorem: 18 squared + 24 squared = 30 squared.
Step 3:
Combine like terms: (18 + 24) squared = 30 squared.
Step 4:
Evaluate each side: 1764 not-equals 900.
Chelsea says the triangle is not a right triangle. Which best describes the accuracy of her explanation?
The triangle is actually a right triangle. In step 2, Chelsea incorrectly substituted the values into the Pythagorean theorem.
The triangle is not a right triangle, but in step 2 Chelsea incorrectly substituted the values into the Pythagorean theorem.
The triangle is actually a right triangle. In step 3, Chelsea incorrectly rewrote the expression on the left side of the equation.
The triangle is not a right triangle, but in step 3, Chelsea incorrectly rewrote the expression on the left side of the equation.
Solving for y, <span>y=±<span><span>14−2<span>x2</span></span><span>−−−−−−−</span>√</span></span><span>
for y to be a positive integer, (14-2x^2) must be a perfect square.
Any positive integer values chosen for x will not yield a perfect square</span>
Answer:
x = 25°
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180°
The given triangle is a right triangle which means one of its angle has a measure of 90°
since thd other angle is given as 65 to calculate x we just add the given measures and subtract it from 180
90° + 65 + x = 180
155 + x = 180 subtract 155 from both sides
x = 25°
Answer:
- Sara is 10 and Laila is 8
Step-by-step explanation:
- Sara's age = s
- Laila's age = l
<u>The ratios:</u>
- (s + 2)/(l + 2) = 6/5 ⇒ 5(s + 2) = 6(l + 2) ⇒ 5s = 6l + 2
<u>Substitute s into the second equation and solve for l:</u>
- 5(5l/4) = 6l + 2
- 25l = 24l + 8
- l = 8
<u>Fins s:</u>
The correct answer is b, isoceles and right
Hope this helps!