In triangle JKL, m of angle J = 90, m of angle K = 30, and m of angle L = 60. Which of the following statements about triangle JKL are true? Check all that apply.A) KL= root 3 (JL)
B) KL= 2(JL)
C) JK= root 3 (JL)
D) JK= 2(JL)
E) JL= root 3/2 (KL)
F) JK= root 3/2 (KL)
Answers
Answer:
# Answer B is true ⇒ KL = 2(JL)
# Answer C is true ⇒ JK = √3(JL)
# Answer F is true ⇒ JK = √3/2(KL)
Step-by-step explanation:
* Lets explain the ratio between the sides of the triangle
- In Δ JKL
∵ The measure of angle J is 90°
∴ KL is the hypotenuse
∵ The measure of angle K is 30°
∴ JL is the opposite side to angle 30°
∵ The measure of angle L is 60°
∴ JK is the opposite side to the angle 60°
- There is a fact in the triangle which has angles 30° , 60° , 90°
# The length of the side opposite to the angle of measure 30° is
half the length of the hypotenuse
∵ KL is the hypotenuse
∵ JL is the opposite side to the angle of measure 30°
∴ JL = 1/2 KL OR KL = 2 JL
# The length of the side opposite to the angle of measure 60° is
√3 the length of the opposite side to the angle 30°
∵ JK is the opposite side to the angle of measure 60°
∵ JL is the opposite side to the angle of measure 30°
∴ JK = √3 JL
# The length of the side opposite to the angle of measure 60° is also
half √3 the length of the hypotenuse
∵ JK is the opposite side to the angle of measure 60°
∵ KL is the hypotenuse
∴ JK = √3/2 KL
- From the relation above
# Answer B is true ⇒ KL = 2(JL)
# Answer C is true ⇒ JK = √3(JL)
# Answer F is true ⇒ JK = √3/2(KL)
Answer:
It is a and B in C & D
Step-by-step explanation:
These are the closest answers
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Answer:
Area of the bookmar = 68.56 sq.cm.
Step-by-step explanation:
It is given that the diameter of each circle is the width of the rectangle.
Therefore, each radius = = 2 cm.
Area of the 2 semi circles = 2 × 0.5 × 3.14 ×
= 4 × 3.14
= 12.56 sq.cm.
Now, area of the rectangle = length × width
= 14 × 4
= 56 sq.cm
Area of the bookmark = Area of the rectangular part + 2 × (area of the semicircular part)
= 56 + 12.56
= 68.56 sq.cm.
Answers
Answer:
0 ≤ x ≤183
Step-by-step explanation:
Originally there were 245 tickets available. After the sale of 62 tickets, 183 are left to sell. There cannot be a negative number of tickets sold; but, there could be from zero up to and including 183 sold in the future.
There is a possibility that is zero tickets to be sold up to all the rest of the tickets (245-62=183.
Choice c shows all of these possibilities. This choice basically says the remaining number of tickets sold could be 0 all the way up to 183.
Answers
4/9 7/15
Answers
Answer:
20/45 & 21/45
Step-by-step explanation:
Find a common denominator. What you do to the denominator, you do to the numerator. In this case, the smallest denominator is 45.
(4/9)(5/5) = 20/45
(7/15)(3/3) = 21/45
The two fractions you have is:
20/45 for 4/9
21/45 for 7/15
~
Answer:
20/45 for 4/9 and 21/45 for 7/15
Step-by-step explanation:
The least common denominator of 4/9 is 20/45.
The least common denominator of 7/15 is 21/45.
Answers
96 inches = x feet
12/96 = 1/x
Cross multiply
12x = 96 * 1
12x = 96
x = 96/12
x = 8
96 inches = 8 feet