Answer for a lot of points! In triangle △ABC, ∠C is a right angle and CD is the altitude to AB . Find the angles in △CBD and △CAD if m∠A = 65°
m∠DBC =
m∠DCB =
m∠CDB =
m∠ACD =
m∠ADC =

Given :

To find :

Solution :

In Right angle △ABC,

we have,

=> ACB = 90°

=> CAB = 65°.

So,

=> ACB + CAB+ZCBA = 180° (By angle sum Property.)

=> 90° + 65° + CBA = 180°

=> 155° +CBA = 180°

=> CBA = 180° - 155°

=> CBA = 25°.

In △CDB,

=> CD is the altitude to AB.

So,

=> CDB = 90°

=> CBD = CBA = 25°.

So,

=> CBD + DCB = 180° (Angle sum Property.)

=> 90° +25° + DCB = 180°

=> 115° + DCB = 180°

=> DCB = 180° - 115°

=> DCB = 65°.

Now, in △ADC,

=> CD is the altitude to AB.

So,

=> ADC = 90°

=> CAD = CAB = 65°.

So,

=> ADC + CAD +DCA = 180° (Angle sum Property.)

=> 90° + 65° + DCA = 180°

=> 155° +DCA = 180°

=> DCA = 180° - 155°

=> DCA = 25°

Hence, we get,

$35.59 in pounds

step-by-step explanation:

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet