We are told that, of the 50 states, 4 have names that start with letter W, and to figure out what percentage of U.S. states have names that start with the letter W, we need to know what what 4 is what percent of 50.

We figure this out the following way:

Percent = $\frac{4}{50} *100=0.08*100 =8$

Percent = 8%

6 0

3 years ago

The measures of 6 of the interior angles of a heptagon are: 120°, 150°, 135°, 170°, 90°, and 125°. What is the measure of the la

Lilit [14]

1. consider one angle of a (convex) heptagon. From that angle you can construct 7-3=4 diagonals. (-3 because we cannot create diagonals with the adjacent vertices and the angle itself )

2. 4 diagonals create 5 triangular regions. (check the picture)

3. So the sum of the measures of the interior angles of the heptagon is 180°*5=900°.

4. The measure of the remaining 7th interior angle is 900°-(120+150+135+170+90+125)°=110°.

5. The largest exterior angle is when the interior angle is the smallest.

6. The smallest interior angle is 90°, so the largest exterior angle is 180°-90°=90°

Answer: 90°

7 0

3 years ago

The principal at valley elementary school had 840 stickers that he gave to 42 children. 2/3 of the children were boys and each o

STatiana [176]

Answer: each girl received 30 stickers.

Step-by-step explanation:

Let x represent the number of stickers that the boys received.

Let y represent the number of stickers that the girls received.

The total number of children was 42. 2/3 of the children were boys. It means that the number of boys were

2/3 × 42 = 28

The number if girls would be

42 - 28 = 14

The total number of stickers that the school principal shared was 840. It means that

28x + 14y = 840- - - - - - - - -1

Each of the boys received the same number of stickers while each girl received twice as many as each boy. It means that

y = 2x

Substituting y = 2x into equation 1, it becomes

28x + 14 × 2x = 840

28x + 28x = 840

56x = 840

x = 840/56

x = 15

y = 2x = 15 × 2

y = 30

4 0

3 years ago