Answer:
Three-fourths
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
∠QSR≅∠XZY ---> given problem
∠QRS≅∠XYZ ---> given problem
so
△QRS ~ △XYZ ----> by AA Similarity theorem
Remember that, if two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
That means
∠Q≅∠X
∠R≅∠Y
∠S≅∠Z
<em>In the right triangle XYZ</em>
Find the tangent of angle X
---> opposite side angle X divided by adjacent side angle X
substitute the given values
Simplify
Remember that
∠Q≅∠X
so
therefore
---->Three-fourths
Answer:
The conversion of 2 yards into centimeter is 183 centimeter .
Option (D) is correct .
Step-by-step explanation:
As given
1 yard = 3 feet
1 foot = 12 inches
1 inch = 2.54 cm
Take
1 inch = 2.54 cm
Mutiply above by 12.
1 × 12 inch = 2.54 × 12 cm
12 inch = 30.48 cm (As 1 foot = 12 inches )
Thus
1 foot = 30.48 cm
Multiply above by 3
1 × 3 foot = 30.48 × 3 cm
3 foot = 91.44 cm (As 1 yard = 3 feet )
1 yard = 91.44 cm
Thus the relationship between the yard and centimeter is given by.
1 yard = 91.44 cm
Now convert 2 yards to centimeters .
2 yards = 2 × 91.44 centimeters
= 182.88
= 183 centimeter (Approx)
Therefore the conversion of 2 yards into centimeter is 183 centimeter .
Option (D) is correct .
Answer: After 16 seconds the boats will be traveling the same speed.
Step-by-step explanation:
Given: Mike is driving a boat at 12 mph and is increasing his speed by 0.2 mph each second.
Mike's spewed after x seconds = 12 + 0.2x
Hank is driving a boat at 26.4 mph and is decreasing his speed by 0.7 mph each second.
Hank's speed after x seconds = 26.4 -0.7 x
As per given,
12 + 0.2x = 26.4 -0.7 x
Subtract 12 from both sides
0.2x= 26.4-12-0.7x
⇒ 0.2x= 14.4-0.7x
Add 0.7xn on both sides , we get
0.2x+0.7x= 14.4
⇒ 0.9x = 14.4
Multiply 10 on both sides, we get
9x=144
Divide both sides by 9 , we get x= 16
Hence, after 16 seconds the boats will be traveling the same speed.
W - y > h/p
h < (w - y)p
*All you have to do is subtract y from both sides and multiply both sides by p to get the answer, answer is in bold.
