9514 1404 393
Answer:
∠CAB = 28°
∠DAC = 64°
Step-by-step explanation:
What you do in each case is make use of the relationships you know about angles in a triangle and around parallel lines. You can also use the relationships you know about diagonals in a rectangle, and the triangles they create.
<u>Left</u>
Take advantage of the fact that ∆AEB is isosceles, so the angles at A and B in that triangle are the same. If we call that angle measure x, then we have the sum of angles in that triangle is ...
x + x + ∠AEB = 180°
2x = 180° -124° = 56°
x = 28°
The measure of angle CAB is 28°.
__
<u>Right</u>
Sides AD and BC are parallel, so diagonal AC can be considered a transversal. The two angles we're concerned with are alternate interior angles, so are congruent.
∠BCA = ∠DAC = 64°
The measure of angle DAC is 64°.
(Another way to look at this is that triangles BCE and DAE are congruent isosceles triangles, so corresponding angles are congruent.)
Simplify step-by-step.
9m−7m+2m
=9m+−7m+2m
Combine Like Terms:
=9m+−7m+2m
=(9m+−7m+2m)
=4m
Answer: 
Step-by-step explanation:
Since, the quotient of 6 and r = 
The sum of two and the quotient of 6 and r
= 
And, Five-sevenths of the sum of two and the quotient of 6 and r
=
Thus, the required expression is,
Answer:55%
Step-by-step explanation:
330/600=0.55
55%
Answer:
12 Squared Units
Step-by-step explanation:
Top length: 4 Units
Side length: 3 Units
