What is 45/70 simplified
2 answers:
You might be interested in
9514 1404 393
Answer:
- x = 19
- x = 34
- x = 39
Step-by-step explanation:
1. A right angle has a measure of 90°. The whole is the sum of the parts.
(2x +3)° +49° = 90°
2x +52 = 90 . . . . . . . . divide by °, collect terms
2x = 38 . . . . . . . . . . . . subtract 52
x = 19 . . . . . . . . divide by 2
__
2. A linear pair measures 180°. The whole is the sum of the parts.
(x -5)° +151° = 180°
x +146 = 180 . . . . . . . divide by °, collect terms
x = 34 . . . . . . . . .subtract 146
__
3. We presume this pair of angles is supposed to be supplementary. That is, their sum is 180°.
64° +(3x -1)° = 180°
3x +63 = 180 . . . . . . . divide by °, collect terms
3x = 117 . . . . . . . . subtract 63
x = 39 . . . . . divide by 3
Based on the properties of similar triangles, the two true statements are:
- ΔAXC ≅ ΔCXB.
- ΔACB ≅ ΔAXC.
In Mathematics, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
Based on the properties of similar triangles, we have the following points:
- ∠A in ΔAXC matches ∠A in ΔABC and ∠C in ΔCXB.
- ∠C in ΔAXC matches ∠B in ΔABC and ∠B in ΔCXB.
- ∠X in ΔAXC matches ∠C in ΔABC and ∠X in ΔCXB.
In this scenario, we can can logically deduce that the two true statements are:
- ΔAXC is congruent to ΔCXB (ΔAXC ≅ ΔCXB).
- ΔACB is congruent to ΔAXC (ΔACB ≅ ΔAXC).
Read more on similar triangles here: brainly.com/question/7411945
#SPJ1
