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°.
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<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.)
3/2x - 4 = 16
Add 4 to both sides.
3/2x = 20
Multiply by 2/3.
x = 13 1/3
Answer:
Total area of the two rooms = (width1length1) + (width2length2)
Step-by-step explanation:
The area of the rectangular shape is given by = Length * breadth
Therefore the area of the two rooms can be calculated using the above formula when the variables lengths and widths are given.
Area 1= Area of the first room = length * breadth= (width1length1)
Area 2=Area of the second room = length * breadth= (width2length2)
Total area of the two rooms = Area1 + Area 2
= (width1length1) + (width2length2)
Answer:
Step-by-step explanation:
The first term of the sequence is
To find the second term add 
to the first term;
To find the third term add to the second term;
To find the fourth term add to the third term;
The first four terms are
Answer:
80%
Step-by-step explanation:
7/9 = 77.777777777778%.
80% > 77.777777777778%
