Sum of all interior angles in a triangle = 180
let missing angle = x
x + 144 + 13 = 180
x + 157 = 180
x = 23
answer
23 degrees
Answer:
(x+2) (x+3) (x-5)
Step-by-step explanation:
x³-19x-30 = (x+2) (x²+ax-15) ... x³=x*(1*x²) while -30= (2)*(-15)
x³ +<u> 0</u>*x² - 19x -30 = x³ + (<u>2+a</u>)x² + (2a-15)x -30
2+a = 0
a = -2
x³-19x-30 = (x+2) (x²-2x-15) = (x+2) (x+3) (x-5)
Answer:
Therefore the Correct option is First one
SAS, ∠A ≅ ∠C, AB ≅ CB , ∠ABD ≅ ∠CBD
.
Step-by-step explanation:
Given:
∠BDA ≅ ∠BDC
AD ≅ CD
TO Prove
ΔADB ≅ ΔCDB
Proof:
In ΔADB and ΔCDB
AD ≅ CD ....……….{Given}
∠BDA ≅ ∠BDC …………..{Given}
BD ≅ BD ....……….{Reflexive Property}
ΔADB ≅ ΔCDB ….{By Side-Angle-Side Congruence Postulate}
∴ ∠A ≅ ∠C ......{Corresponding Parts of Congruent Triangle are Congruent}
AB ≅ CB ......{Corresponding Parts of Congruent Triangle are Congruent}
∠ABD ≅ ∠CBD {Corresponding Parts of Congruent Triangle are Congruent}
Answer:
The correct options are;
1) The shape maps unto itself after a rotation of 270 degrees
2) The smallest angle of rotational symmetry is 90 degrees
3) The shape maps unto itself after a rotation of 180 degrees
Step-by-step explanation:
We note that the shape of a cross which consists of two equal members (segments) bisecting each other at right angles such that when a member is placed vertically upright, the other member will be horizontal, therefore we have;
After rotation by 90 degrees, the vertical member will become horizontal and vice versa
After rotation by 180 degrees, the vertical member will become horizontal and vice versa again
Similarly, after rotation by 270 degrees, the once vertical member will become horizontal and the horizontal member will become vertical
Answer:
7 × 10²
Step-by-step explanation:
→ The first digit has to be above 1 and below 10
