Kyla makes a triangular school pennant. The area of the triangle is 180 square inches. The base of the pennant is z inches long.

Answer:

Step-by-step explanation:

To find x, set the two expressions equal and solve:

8x + 11 = 12x - 1

11 = 4x - 1

12 = 4x

x = 3

Answer:

3,400 in liabilities. I hope this is helpful!

Step-by-step explanation: Start by adding 500 to 900 which equals 1,400

Next, combine 1,400 with the 2,000, resulting in 3,400

The answer is rotated. When dilating figures, we either increase or decrease their dimensions. Knowing the scale factor is crucial as it indicates whether the figure enlarges or reduces; a positive scale factor suggests expansion, while a negative one indicates reduction. The center of dilation is where lines connecting the original and dilated shapes intersect. Conversely, to rotate a shape involves turning it around a designated fixed point known as the center of rotation.

The appropriate conversion should be 0.2. If that's incorrect, please let me know.

Response:

If there are "p" pounds of peanuts and "m" pounds of a mixture containing '20% peanuts and 80% almonds', then we can formulate the following equations:

p + m = 10 -----------(1) and

4m/5 = 4 ------------(2)

The solution yields 5 lb peanuts and 5 lb mixture.

Detailed explanation:

In the mixture that Delaney desires to create, there will be

lb

= 6 lb of peanuts

Thus, there will be (10 - 6) lb

= 4 lb of almonds

If Delaney has "p" pounds of peanuts and "m" pounds of the '20% peanuts and 80% almonds' mixture, then based on the problem statement,

p + m = 10 -----------(1) and

4m/5 = 4 ------------(2)

From equation (2), we derive

m = 5 --------------(3)

From (1) and (3), we find that

p = (10 - 5) = 5