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2 years ago

Use the given angle measures to answer the following questions.

Mathematics

2 answers:

emmainna [20.7K]2 years ago

6 0

Answer:

Step-by-step explanation:

40÷5=8

ra1l [238]2 years ago

3 0

Answer:

$\Huge\boxed{A.8}$

Step-by-step explanation:

Hello There!

If you didn't know vertical angles are congruent

That being said we can use this equation to solve for x

40 = 5x

Objective: Isolate the variable using inverse operations

To get rid of the 5 we divide each side by 5

40 / 5= 8

5x/5=x

we're left with x=8

To check our answer we can plug in 8 to x and if it equal 40 then the answer is correct

5(8) = 40

So the answer would be 8

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Complete the square to rewrite y = x2 - 6x + 3 in vertex form. Then state

Vladimir [108]

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Given

y = x² - 6x + 3

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² - 6x

y = x² + 2(- 3)x + 9 - 9 + 3

= (x - 3)² - 6 ← in vertex form

• If a > 0 then vertex is a minimum

• If a < 0 then vertex is a maximum

Here a = 1 > 0, thus

(3, - 6 ) is a minimum

3 0

3 years ago

The average annual salary for a teacher nationally is $58,353. This is projected to increase 2% per year for the next 4 years. W

mario62 [17]

Answer:

$\$63,163.16$

Step-by-step explanation:

we know that

The equation of a exponential growth function is equal to

$y=a(1+r)^x$

where

y is the average annual salary

x is the number of years

r is the rate of change

a is the initial value

In this problem we have

$a=58,353\\r=2\%=2/100=0.02$

substitute

$y=58,353(1+0.02)^x$

$y=58,353(1.02)^x$

For x=4 years

$y=58,353(1.02)^4=\$63,163.16$

4 0

3 years ago

If a is a solution of abs(x+3)>4, then is a also a solution of x+3>4?

Alexandra [31]

Answer:

Yes

Step-by-step explanation:

After solving for the two values of a, the second inequality gives a value inside the range of the first inequality.

7 0

3 years ago

this spinner below is divided into 10 equal sections. what is the probability of spinning it and landing on a number that is div

enyata [817]

20% because there are 10 numbers and 2 of them are a multiple of 5. :)

5 0

3 years ago

Read 2 more answers

In 2017 the population of Rexburg, Idaho was 28,337 people. The population was expected to grow at a rate of about 1.26% per yea

frez [133]

Answer:

30,122

Step-by-step explanation:

This probably isn't the fastest way to solve but....

28,337x1.26%= 357

357x5=1785

28,337+1785=30,122

The 5 came from the # of years the population is increasing

6 0

2 years ago