Answer:
Apply the sine theorem in triangle ABC:
sin C = AB/AC = 4/5
=> C = arcsin(4/5) = 53.13 deg
As shown in picture, AB//CD. Using the same side interior angles theorem:
=> angle BCD = angle ABC = 90 deg
=> angle ACD = 90 - angle ACB = 90 - C = 90 - 53.13 = 36.87 deg
Apply the cosine theorem in triangle ACD:
cos C = AC/CD
=> CD = AC/cos C = 5/cos(36.87) = 5/0.8 = 6.25
=> Option C is correct
Hope this helps!
:)
Answer:
<u>9x² + 42x + 49</u>
Step-by-step explanation:
<u>Identity</u>
In this case, x = 3x and a = 7, so <u>substitute</u> the values.
- (3x + 7)²
- (3x)² + 2(3x)(7) + (7)²
- <u>9x² + 42x + 49</u>
The required value of Arc BC m = 140° Option B is correct.
Given that,
AD is the diameter of the circle,
∠1 = ∠3 = 20°
Arc BC is to be determined.
<h3>What is an arc?</h3>
Arc is the measure of angle on the circumference of circle.
Here,
∠1 = arc AB
∠3 = arc CD
Now, for circle p
Since angle 1 and angle 2 are equal to the composition of the arc,
Arc AD = Arc AB + Arc BC + Arc CD = 180
20 + Arc BC + 20 = 180
Arc BC = 180 - 40
Arc BC = 140°
Thus, the required value of Arc BC m = 140° Option B is correct.
Learn more about arc here:
brainly.com/question/18741430
#SPJ1
5 and 3/4 and 3 and 1/2
5 and 3/4 to 3 and 1/2 is the answer
if y ou want to convert it to whole numbers then
5 and 3/4:3 and 1/2
convert mixed numbers to improper fractions
5 and 3/4=23/4
3 and 1/2=7/2
23/4:7/2
multiply both sides by 4 to clear fractions
23:14
answer is the ratio is 23:14
From the above i got
( .5x+1)+2
Then you plug in 10 hats
( .5*10+1)+2=8
Hope this helps!
