Answer:
C, 42 degrees
Step-by-step explanation:
Considering angle BAD is 60 degrees, that makes angle BCD also 60 degrees. Since parallelograms have 360 degrees in total, we're still missing 240 degrees. Since angles BAD and BCD are congruent (equal), that means that angles ABC and ADC also have to be congruent. To find their angles, we do 240 divided by 2, which equals 120. Now that we know all of the angles, lets focus on angle ADC. Since angle 1 has been given to us, all we need to do is subtract 78 from 120 which turns out to be 42 degrees, which is the answer.
See attached picture for better understanding of the problem. In the problem, the given values are the following:
hypotenuse = length of the ladder
adjacent = base of the ladder to base of the wall
Solving the angle x, we have the solution as below:
cos x = adjacent / hypotenuse
cos x = 91 / 350
x = 74.93°
The answer is 74.93°.
The correct answer should be E, The sum of a number and three subtracted from seventy-six.
“A number” represented by x, is added to 3, and is therefore labeled a sum.
(x+3)
This sum is then subtracted from 76.
76-(x+3)
Hi there!
The answer is C.
14 × 32 = (4 × 32) + (10 × 32) = 128 + 320 = 448
In the first step we splitted 14 up into two different parts that are easily multipliable. These two parts are 4 and 10. She must multiply 32 first by 4 and then we must multiply 32 by 10. This way we multiplied it a total of 14 times, just as we should.
14 × 32 = (4 × 32) + (10 × 32)