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3 years ago

Find the measure of angle x in the figure below: A.) 35° B.) 48° C.) 69° D.) 78°

Mathematics

2 answers:

MA_775_DIABLO [31]3 years ago

8 0

Answer:

Step-by-step explanation:

From supplementary angles, y = 180 - 52 - 59 = 69. From sum of angles in a triangle, x = 180 - 63 - 69 = 48.

prisoha [69]3 years ago

3 0

Answer:

x = 48

Step-by-step explanation:

First find y

52+y+59 = 180 since they from a straight line

y = 180-59-52

y = 69

Then we know the angles of a triangle add to 180

x+y+63 = 180

x+69+63 = 180

x = 180-69-63

x =48

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A line includes the points (1, 9) and (0, 5). What is it’s equation in the slope-intercept form?

scoundrel [369]

Equation is y = 4x + 5

Step-by-step explanation:

Step 1: Find the slope of the line by m = (y2 - y1)/(x2 - x1). Here y2 = 5, y1 = 9, x1 = 1 and x2 = 0

⇒ m = (5 - 9)/(0 - 1) = 4

Step 2: Find y-intercept, b. Since the line passes through (0, 5) b = 5
Step 3: Write the equation in slope-intercept form

⇒ y = 4x + 5

5 0

3 years ago

1. An outdoor art is a metal cube with edge length 39 feet. What is the volume of the cube in feet? In cubic yard? ( Can someone

Law Incorporation [45]

The volume of a cube is just the side length cubed...

V=s^3 in this case:

V=39^3=59319 ft^3

and in cubic yards it is:

59319 ft^3*(yd^3/27 ft^3)=2197 yd^3

5 0

3 years ago

Erica is a sheep farmer. She is having a problem with wolves attacking the flock. She starts with an initial 200 sheep and notic

Free_Kalibri [48]

The equation for the situation is $y=200(\frac{2}{3})^{x}$

It will take around 9 years for her to have around 5 sheep

Step-by-step explanation:

The exponential decay growth/decay equation is $y=a(b)^{x}$ , where

a is the initial value
b is the growth/decay factor
If b > 1, then it is a growth factor
If 0 < b < 1, then it is a decay factor

Erica is a sheep farmer. She is having a problem with wolves attacking the flock. She starts with an initial 200 sheep and notices that the population is two-thirds of the previous year

∵ The population is decreased

∴ The equation is decay

∵ The population is two-thirds of the previous year

∴ The decay factor is $\frac{2}{3}$

∵ She starts with an initial 200 sheep

∴ the initial value is 200

∵ The decay equation is $y=a(b)^{x}$ , where y represent the

population in x years

∵ a = 200

∵ b = $\frac{2}{3}$

∴ $y=200(\frac{2}{3})^{x}$

The equation for the situation is $y=200(\frac{2}{3})^{x}$

∵ The population after x years is around 5 sheep

- Substitute y by 5 to find x

∵ $5=200(\frac{2}{3})^{x}$

- Divide both sides by 200

∴ $0.025=(\frac{2}{3})^{x}$

- Insert ㏒ for both sides

∴ $log(0.025)=log(\frac{2}{3})^{x}$

∴ $log(0.025)=xlog(\frac{2}{3})$

- Divide both sides by $log(\frac{2}{3})$

∴ 9.098 = x

∴ x is around 9 years

It will take around 9 years for her to have around 5 sheep

Learn more:

You can learn more about the equation in brainly.com/question/10666510

#LearnwithBrainly

8 0

3 years ago

Can someone help me find the length of b of the unknown side in this triangle? Thanks! :)

creativ13 [48]

Answer: 4

Step-by-step explanation:

Using pythagoras theorem =>

b= $\sqrt{c^2-a^2$

b= $\sqrt{5^2-3^2}$

b= $\sqrt{25-9}$

b= $\sqrt{16}$

b=4

7 0

2 years ago

Read 2 more answers

Three numbers have absolute values of 2,4 and 9. The product of all the numbers is positive.

Margaret [11]

The absolute value of a number is how far away it is from 0 on a number line.
Example) 2 is two numbers away from 0, but neg. 2 (-2) is also two numbers away from 0

So basically. A positive number has the absolute value of itself. (2= a value of 2) and negative numbers have the absolute value of the positive form of that number. (-9= a value of 9)

Numbers that have the absolute value of 2: 2 and -2
Numbers that have the absolute value of 4: 4 and -4
Numbers that have the absolute value of 9: 9 and -9

You are looking to add your numbers together to make a positive.

So the answer is the positive answers to the absolute values: 2,4,9

2+4+9=15

15 is a positive number.

8 0

3 years ago