Answer:
Total length of ribbon to line the long sides will be 22 in
Step-by-step explanation:
In the given figure of kite if we draw a line "h" vertically will form two right angle triangles.
Then by applying Pythagoras theorem in both the triangles.
h²= (3x + 5)² + (2x + 1)² ------(1)
h²= (5x + 1)² + 5² ------(2)
By equating both the equations
(3x + 5)² + (2x + 1)² = (5x + 1)² + 25
9x² + 25 + 30x + 4x² + 4x + 1 = 25x² + 10x + 1 + 25
13x² + 34x + 26 = 25x² + 10x + 26
13x² - 25x² + 34x - 10x + 26 - 26 = 0
- 12x² + 24x = 0
12x² - 24x = 0
x² - 2x = 0
x(x - 2) = 0
x = 2
Now we will put x = 2 in the measure of sides of the kite.
Side 1 = (3x + 5)
= 3×2 + 5
= 11
Side 2 = (5x + 1)
= 5×2 + 1
= 11
Side 3 = (2x + 1)
= 2×2 + 1
= 5
Therefore, Total length of ribbon to line the long sides will be = 11 + 11
= 22 in.
Answer:
15/4 please let me know if this helped you :)
Step-by-step explanation:
0.75*5=3.75 or 15/4
all of your answers are less than 3/4ths of a mile...she is increasing the amount she runs not decreasing.
Answer:
1/12 more pounds of green grapes
Step-by-step explanation:
First, we would need to find a common denominator. 6 and 12 have 12 in common, so lets pick 12 as our common denominator.
Since 1/12 already has 12 for a denominator, we wont have to do anything to it.
So, what times 6 gives you a denominator of 12? 2! If we multiply the denominator by 2, we have to also multiply the numerator by 2. 1/6 times 2/2 is 2/12.
Laslty, we have to subtract them. 2/12 - 1/12 is 1/12. so, Eliana bought 1/12 more pounds of green grapes than red grapes.
Answer:
D. 7
Step-by-step explanation:
LM = 13,
LN = 20,
Since points L, M, and N are collinear, therefore:
(segment addition postulate)
(substitution)
Subtract 13 from each side of the equation
Possible value of MN is 7.
The answer is D. 7.
Answer: ∠A=
Step-by-step explanation:
Since we have given that
CD bisects m∠ACB,
⇒ m∠ACD= m∠DCB =x (say)
And, AB=BC, m∠BEC=90°, and m∠DCE=42°
So,
m∠CAD=m∠ACD
In ΔDCE,
Now, in ΔACD,
Hence , ∠A=