Problem solving with fractions

What is m4+m5+m6 A. 180 B. 270 C. 300 D. 360

dezoksy [38]

D any angle no matter how many there totally degree is 360

8 0

4 years ago

Read 2 more answers

Fill in the blanks to complete this proof of theorem 2-3.

Basile [38]

Answer:

Therefore.

angle 1 is congruent to angle 3 ...Proved

The proof with steps are below with Fill in the blanks

Step-by-step explanation:

Complementary Angles:

Two angles are Complementary when they add up to 90 degrees.

Example 40° and 50° are Complementary Angles.

If 'x' and 'y' are Complementary Angles the we have

$x+y=90\°$

Here,

Given:

angle 1 and angle 2 are complementary

angle 3 and angle 2 are complementary

To Prove:

angle 1 is congruent to angle 3

Proof:

Step 1:

angle 1 and angle 2 are complementary and angle 3 and angle 2 are complementary because it is Given.

Step 2:

By the definition of complementary angles,

m of angle 1 + m of angle 2 = _90°__ and m of angle 3 + m of angle 2 = _90°_.

Step 3:

Transitive Property of Equality.

Then m of angle 1 + m of angle 2 = m of angle 3 + m of angle 2 by the Transitive Property of Equality.

Step 4:

Subtract m of angle 2 from each side. By the Subtraction Property of Equality, you get

$m\angle 1 +m\angle 2-m\angle 2=m\angle 3+m\angle 2-m\angle 2$

$m\angle 1=m\angle 3$

m of angle 1 = _measure of angle_3_.

Step 5:

Angles with the same measure are _Congruent__,

Step 6:

so angle 1 is congruent to angle 3.

Therefore.

angle 1 is congruent to angle 3 ...Proved

6 0

3 years ago

4) There are 4 marbles and 3 cubes in a board game. The marbles are black, blue, yellow, and red. The cubes are numbered 1, 2, a

krek1111 [17]

Answer:

Here is the sample space, its size is 4*3 = 12:

Black 1
Black 2
Black 3
Blue 1
Blue 2
Blue 3
Yellow 1
Yellow 2
Yellow 3
Red 1
Red 2
Red 3

3 0

3 years ago

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Layla has 25 toys in her toy box, and she adds 4 new toys every month. Based on this information, which equation best shows the

mafiozo [28]

Y=4x+25
You’re multiplying 4 toys per month and adding in what you already have

5 0

3 years ago

The human population of a remote island is given by the formula p=kr^t the Where t is the time in years from when records were f

sattari [20]

Answer:

Part 1) $k=1,000,r=1.2,p=1,000(1.2^t)$

Part 2) The population after 10 years is about 6,192 humans

Step-by-step explanation:

Part 1) Find the values of k and r

Let

p ----> the human population of a remote island

t ----> the time in years

we have

$p=k(r^t)$

This is a exponential function of the form $y=a(b^x)$

where

a is the initial value or y-intercept

b is the base of the exponential function

In this problem

The initial population is 1,000

so

$k=1,000\\p=1,000(r^t)$

Remember that

the population is 1200 after one year

we have the ordered pair (1,1,200)

substitute in the equation and solve for r

$1,200=1,000(r^1)\\1,000r=1,200\\r=1.2$

therefore

$p=1,000(1.2^t)$

Part 2) What is the population after 10 years?

For x=10 years

substitute the value of x in the exponential function

$p=1,000(1.2^{10})\\p=6,192$

therefore

The population after 10 years is about 6,192 humans

5 0

3 years ago