Answer:
The answer is B and D
Step-by-step explanation:
Answer:
c = 127°
Step-by-step explanation:
∡c and ∡a are supplementary angles.
Supplementary angles sum 180°
∡a = 53°
Then:
53° + c = 180°
c = 180° - 53°
c = 127°
13x + 1 = 11x + 8
First, subtract 1 from both sides. / Your problem should look like: 13x = 11x + 8 - 1
Second, simplify 11x + 8 - 1 to 11x + 7. / Your problem should look like: 13x = 11x + 7
Third, subtract 11x from both sides. / Your problem should look like: 13x - 11x = 7
Fourth, simplify 13x - 11x to 2x. / Your problem should look like: 2x = 7
Fifth, divide both sides by 2. / Your problem should look like: x =
Answer:
x = Answer in decimal form: 3.5
Answer:
Step-by-step explanation:
x²+6x = 18
coefficient of the x term: 6
divide it in half: 3
square it: 3²
add 3² to both sides to complete the square and keep the equation balanced:
x²+6x+3² = 18+3²
(x+3)² = 27
x+3 = ±√27 = ±3√3
x = -3±3√3
Answer:
x = 44°
Step-by-step explanation:
The sum of the exterior angles of any polygon my be 360°, so just add all the angles up, and subtract this from 360°.
Given a pentagon with exterior angles: 102°, 47°, 34°, and 133° with the missing angle x°.
To find the missing angle, first write an equation representing the given rule:
102° + 47° + 34° + 133° + x° = 360°
(316°) + x° = 360°
316° + x° - 316° = 360° - 316°
x° = 44°.
This way, because the rule must be true, the missing angle with this value will satisfy this:
102° + 47° + 34° + 133° + <u>44°</u> = 360°
For this topic, here are some general angle rules for polygons:
- n is the number of sides
- 180° (n – 2) = sum of interior angles of any polygon.
- 180° (n – 2) / n = each interior angle of a regular polygon [all sides and or angles the same measure / congruent].
- 360° = sum of exterior angles of any polygon.
- 360° / n = each exterior angle of a regular polygon. [all sides and or angles the same measure / congruent].