Answer:
Firstly, from the diagram we are given that the length of XB is congruent to BZ, and YC is congruent to CZ. Based on this information, we know that B is the midpoint of XZ, and C is the midpoint of YZ. This means that BC connects the midpoints of segments XZ and YZ. Now that we know this, we can use the Triangle Midsegment Theorem to calculate the length of BC. This theorem states that if a segment connects the midpoints of two sides of a triangle, then the segment is equal to one-half the length of the third side. In this scenario, the third side would be XY, which has a length of 12 units. Therefore, the length of BC = 1/2(XY), and we can substitute the value of XY and solve this equation:
BC = 1/2(XY)
BC = 1/2(12)
BC = 6
Step-by-step explanation:
Please support my answer.
Answer:
x ≥ 8
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define inequality</u>
-36x - 24 ≤ -6(5x + 12)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute -6: -36x - 24 ≤ -30x - 72
- Add 36 on both sides: -24 ≤ 6x - 72
- Add 72 on both sides: 48 ≤ 6x
- Divide both sides by 6: 8 ≤ x
- Rewrite: x ≥ 8
Here we see that any number <em>x</em> greater than or equal to 8 would work as a solution.
-8.66667266 is the answer to you question.
Answer:
x° = 83°
Step-by-step explanation:
All angles in a triangle (any kind of triangle: right, isosceles, equilateral etc.) add up to 180 degrees.
So, if we are given the ABC triangle, then:
angle A + angle B + angle C = 180°
In this particular case, we are given values of two angles, so using the previous relation, we can write:
x° + 44° + 53° = 180°
Now, it's easy to find x°:
x° = 180° - 44° - 53°
x° = 83°
11.5 ft2 I’m pretty sure lol