Answer:
-2x² - 8x - 15
Step-by-step explanation:
-(2x² + 4x + 11) + (-4)
-2x² - 8x - 11 - 4
-2x² - 8x - 15
300-3x=33
Subtract 300 on both sides.
-3x=-273
Divide both sides by -3.
x=91
I hope this helps!
~kaikers
Answer: m∠CAD = 81°
Step-by-step explanation: <u>Diagonal</u> is a line that unites opposite sides.
ABCD is a prallelogram. One property of diagonal in a parallelogram is it separates the parallelogram in 2 congruent triangles.
The figure below shows ABCD with its diagonals.
Since diagonal divides a parallelogram in 2 congruent triangles, it means the internal angles are also congruent. So
m∠BAC = m∠CAD
4x + 5 = 5x - 14
x = 19
Then, m∠CAD is
m∠CAD = 5(19) - 14
m∠CAD = 81
The angle m∠CAD is 81°.
Answer:
110 yards of string
Step-by-step explanation:
Converting the feet of the string of 1 balloon to yard
1 foot = 1/3 yard
6 feet = x
x = 6 × 1/3 yard
x = 2 yard
Hence 1 balloon uses 2 yard of string
Since:
1 balloon = 2 yard of string
55 ballons = x
x = 55 × 2 yard of string
x = 110 yards of string
Hence, for 55 balloons he would need 110 yards of string.
Let's assign a variable x to the number of multiples for each pound of dry mix and water. With that being the said, the question for finding the total pounds would be:
Total pounds = x*Pounds of dry mix + x*Pounds of water
Total pounds = 60x + 8x = 68x = 14 + 1/6 = 85/6
x = 85/6 / 68
x = 5/24
Thus, the pounds of dry mix is 60*5/24 = 25/2 lbs, while the pounds of water is 8*5/24 = 5/3 pounds.
