The sides of a parallelogram are 40 feet and 70 feet long, and the smaller angle has a measure of 36°. find the length of the longer diagonal to the nearest whole number. 44 ft 64 ft 69 ft 105 ft

1. Identify the parallelogram as .

2. The diagonal divides it into two congruent triangles, so let's take only the triangle , where is the diagonal.

3. Now, you must apply the Law of Cosines:

Where and is the angle between and .

4. and are suplementary. Therefore:

5. Substitute values into the formula:

The answer is:

f(x)=2/3x+4/3 is the answer because is whose power in the senate is equal to the power of the speaker of the house?

step-by-step explanation:

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.