For determining the period of a function, you pick two recognizable tops of the graph and calculate the time difference between them. In this situation the period is 5-1=4, by picking the first two tops

7 0

2 years ago

Given the following diagram, find the missing measure. *

BigorU [14]

Option C:

x = 30

Solution:

The given image is a triangle.

angle 1, angle 2 and angle 3 are interior angles of a triangle.

angle 4 is the exterior angle of a triangle.

m∠4 = 2x°, $m\angle2=\frac{4}{3}x^\circ$ , m∠3 = 20°

Exterior angle theorem:

In triangle, the measure of exterior angle is equal to the sum of the opposite interior angles.

By this theorem,

m∠4 = m∠2 + m∠3

$$2x^\circ=\frac{4}{3}x^\circ+20^\circ$

Subtract $\frac{4}{3}x^\circ$ on both sides of the equation.

$$2x^\circ-\frac{4}{3}x^\circ=20^\circ$

To make the denominator same and then subtract.

$$\frac{6}{3}x^\circ -\frac{4}{3}x^\circ=20^\circ$

$$\frac{2}{3}x^\circ =20^\circ$

Multiply by $\frac{3}{2}$ on both sides of the equation.

x° = 30°

x = 30

Hence option C is the correct answer.

6 0

3 years ago

In 2000, a total of 531,285 live births were recorded in state of California. In 2006, the total number of live births rose to 5

zhannawk [14.2K]

Percent increase
find increase
then divided that by original

562157+531285=30872=increase

now put that over original
30872/531285=0.05810817/1
percent means partst out of 100
make bottom number 100
0.05810817/1 times 100/100=5.810817/100=5.810817%
thousanth
5.811%

6 0

3 years ago

mandie is making 15 cups of fruit salad what is the ratio of grapes to blueberries should she use? 6:9 , 8:7 , 12:3 , 10:5

statuscvo [17]

Answer:

god help you

Step-by-step explanation:

i think we should add all the ratio together.......

4 0

2 years ago