Answer:
A=8x-8
B=5x+25
A=B(BEING corresponding angles)
8x-8=5x+25
8x-5x=25+8
3x=33
x=33/3
x=11
now 8x-8= 8×11-8
= 88-8
=80
5x+25= 5×11+25
=55+25
= 80
A=B#
Answer:
B. -90
Step-by-step explanation:
a1=9; d=-3
a34=9-3(33-1)=-90
Answer:
0.6
Step-by-step explanation:
2×3x+4+4=12
6X+8=12
6x=12-8
6x=4
Divide by 6
X=0.6
Answer:
Answer 1; Angles forming a linear sum to 180°
Answer 2; Substitution
Answer 3; Definition of perpendicular lines
Step-by-step explanation:
The two column proof is presented as follows;
Statement
Reason
1. ∠SWT ≅ ∠TWU
Given
2. m∠SWT + m∠TWU = 180°
Angles forming a linear sum to 180°
3. m∠SWT + m∠SWT = 180°
Substitution
4. m∠SWT = 90°
Algebra
5.
⊥
Definition of perpendicular lines
Perpendicular lines are defined as lines that are at right angles (90°) to each other, therefore given that the angle formed by the lines
and
m∠SWT = 90°, therefore, the lines
and
are perpendicular to each other.
Answer:
First number = 22
Second number = 24
Step-by-step explanation:
Let the first number = x
Let the second number = x + 2
According to the question ,
The sum of two even consecutive ingers = 46.
so,
x + x + 2 = 46
2x + 2 = 46
2x = 46 - 2
2x = 44
x = 44 / 2
x = 22
∴ FIRST NUMBER = X
= 22
SECOND NUMBER = X + 2
= 22 + 2
= 24.