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.)
Answer:
A. 24+24+120+160+200
Step-by-step explanation:
Surface area of the triangular prism= addition of the area of each shape that forms the prism
There are two triangles
Area of a triangle=1/2*base*height
=1/2*8*6
=1/2*48
=24
Area of two triangles=24+24
There are 3 rectangles with different dimensions
Back rectangle=length×width
=20×6
=120
Bottom rectangle=length ×width
=20x8
=160
Top rectangle=length × width
=20×10
=200
Surface area =Area of two triangles + Back rectangle + Bottom rectangle + Top rectangle
=24+24+120+160+200
Answer: a = 3
Step-by-step explanation: since M is in between the two points you can look at the x and y coordinates respectively and find the difference between the the given points and then add it to the midpoint
49: 1 7, 49
84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
The GCF is 7
<span>12 <span>1/2</span></span><span> miles that the answer I'm probably late
</span>
