Answer:
DE ≅ DG
Step-by-step explanation:
Answer: 1967
Step-by-step explanation:
Ada was 15 years when her sister Ngozi was 18 years.
This means that Ngozi is older than Ada by:
= 18 - 15
= 3 years
If Ngozi is older by 3 years, this means that she must have been born 3 years earlier than Ada
If Ada was born in 1970, Ngozi was born:
= 1970 - 3
= 1967
Answer:
1 = 130° , 2 =50° , 3 = 85°, 4=45°
Step-by-step explanation:
1 =45 + 85 = 130 { sum of opposite interior angle equals exterior angle}
2 = 180 - 1 { angles on a straight line equals 180}
= 180 -130 = 50°
4 = 180 - 135 = 45° { angles on a straight line equals 180}
3 = 135 -2 { sum of opposite interior angles equals exterior angle; 3 + 2 = 135}
3 = 135-50 = 85°
Note : sum of opposite interior angles equals external exterior angle, let's prove it:
If we look at the triangle at the bottom left, we have :
85, 45 and r { let's denote r as the missing angle}
So 85 + 45 + r = 180° { sum of angles of a triangle}
By simple arithmetic
r = 180 - ( 85+45) = 180 - 130 = 50°
but r + 4 = 180° { sum of angles in a straight line equals 180°}
4 = 180 - 50 = 130°
So you see 4 is the exterior angle of the triangle opposite to 85° and 45° interior angles}
The phrase that best completes the student's proof (that quadrilateral ABCD is a parallelogram)? Angle DBC and angle ADB <u>form a pair of alternate interior angles which are congruent.</u> The answer is C.
A symmetric matrix is a square matrix that is equal to its transpose.
<h3>Symmetric matrix</h3>
In order to understand what is meant by a symmetric matrix, we must first understand the following;
- A matrix is an arrangements of elements in rows and columns.
- A square matrix has equal number of rows and columns.
- The transpose of a matrix is a matrix obtained by interchanging rows and columns.
Hence, a symmetric matrix is a square matrix that is equal to its transpose.
Learn more about symmetric matrix: brainly.com/question/26184753