Question 8 (4 points)
Find all missing angles.
25°
50
2
1
42°
mZ1 =
mZ2 =
mZ3 =

Answer: y = -1/3x - 1

Step-by-step explanation:

Slope-intercept = y = Mx + b

M = slope

B= y

Answer:D

Step-by-step explanation:

Answer:

one circle has a total angle of 360. Hence, 360-101= 3x+2+x-35

259=4x-33

292=4x

x=73 degrees

Answer:

10

Step-by-step explanation:

The measure of an angle∠I  is 10 degrees between the 450 cm and 640 cm sides.

The Law of Cosines (also called the Cosine Rule) is defined as it relates all three sides of a triangle with an angle of a triangle.

c² = a² + b² − 2ab cos(C)

The cosine rule, also known as the law of cosines, relates all 3 sides of a triangle with an angle of a triangle. it relates the lengths of the sides of a triangle to the cosine of one of its angles.

In the given triangle ΔHIJ,

Sides:

h = 450 m

i = 210 m

j = 640 m

The angle of ∠I  is 10 degrees between the 450 cm and 640 cm sides.

According to the cosine rule,

j² = h² + i² − 2ab cos(I)

Substitute the values in the Cosine Rule,

450² = 210² + 640² - 2(210)(640)cos(I)

After solving we get the value of  angle ∠I :

∠I = 9.56038°

Rounded to the nearest degree.

∠I = 10°

Thus, the measure of an angle∠I  is 10 degrees.

Learn more the cosine rule here:

https://brainly.com/question/29717637

#SPJ2

Answer:

63.8ft

Step-by-step explanation:

Answer:  B. $15.68

Step-by-step explanation:

Given: Selling price of album = $16.00

Discount = 10% off

Sales tax = 8%

Discount = 10% of ( Selling price of album)

= 10% of $16

= 0.1 ($16)

= $1.6

Sales tax = 8% of ( Selling price of album)

= 8% of $16

= 0.08 ($16)

= $ 1.28

Total price of the album including tax = Selling price of album +Sales tax  - Discount

= $ 16 + $1.28 - $1.6

= $ 15.68

Hence, B. is the correct option.

Answer:

a + b

Step-by-step explanation:

3(a + b) - 2a - 2b

open the parenthesis

3 * a + 3 * b - 2a -2b

3a + 3b - 2a - 2b

combine like terms

3a - 2a + 3b - 2b

a + b

Answer:

-1/2 and -1

Step-by-step explanation:

Our system of equations is:

y = 2x²

y = -3x - 1

We can set the y's equal to each other:

y = 2x² = -3x - 1

Now, we have:

2x² = -3x - 1

Move all the terms to one side by adding both sides by 3x and 1:

2x² + 3x + 1 = 0

We must factor this quadratic. Note that the factoring is:

(2x + 1)(x + 1) = 0

Our solutions are now:

2x + 1 = 0           OR           x + 1 = 0

x = -1/2                                x = -1

.

Thus, our solutions are -1/2 and -1.

Answer:

54ft of fence for the PUPPY

Step-by-step explanation:

Answer: -1/10

Step-by-step explanation:

Y2- Y1 over X2 - X1

-4 - - 3 over 5 - - 5

-4 + 3 over 5 + 5

-1 over 10

Answer:

27.72

Step-by-step explanation:

Answer:

12 pounds of oranges would cost $27.72

PLEASE CHECK, THANK YOU

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Answer:

4 bottles of Water

Step-by-step explanation:

First, we need to find how much each water costs. So, I created this equation below.

9/12=?

The answer to the equation is .75, or 75 cents.

So, we can now make yet another equation to find the amount to buy with 3 dollars.

3/.75=?

The answer to that equation is 4.

Thus, the answer is 4 bottles of water.

Answer:

C

Step-by-step explanation:

Since the lines make a linear pair,

(5x+10)+(2x-5)=180

7x+5=180

7x=175

x=25

now, we just plug in

5(25)+10

125+10

135

Answer:

4.35/5= 0.87 liters

you divide the total by how many to find out what the unit rate is for each sample

Step-by-step explanation:

Answer:

A circle inscribed inside a triangle is called the incenter, and has a center called the incenter. A circled drawn outside a triangle is called a circumcircle, and it's center is called the circumcenter.

Step-by-step explanation:

Answer:

M=54.62

O=59.69

N=65.68

Step-by-step explanation:

M is the smallest, and N is the largest:)

you can use cossincalc . com !!

Answer:

Here's how to subtract 3/8 from 8/12:

8

12

−

3

8

Step 1

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 8 by 8, and get 64.

Then we multiply 3 by 12, and get 36.

Next we give both terms new denominators -- 12 × 8 = 96.

So now our fractions look like this:

64

96

−

36

96

Step 2

Since our denominators match, we can subtract the numerators.

64 − 36 = 28

So the answer is:

28

96

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

28

96

÷ 2 =

14

48

Let's try dividing by 2 again...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

14

48

÷ 2 =

7

24

Let's try dividing by 2 again...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

No good. 11 is larger than 7. So we're done reducing.

There you have it! The final answer is: 0.29166666666

Answer:

The number is irrational because it can’t be written as a fraction

Step-by-step explanation:

Here, we want to state why the given number is irrational

Mathematically, an irrational number is one that cannot be expressed as the ratio of two integers

Thus, the reason why the number is irrational is because it can’t be written as a fraction

Answer:

Red

Step-by-step explanation:

Y intercept is 1

Slope is -2 (line is going down so the slope is negative)

Answer:

the yellow box

Step-by-step explanation:

Answer: A, arithmetic

Step-by-step explanation:

An arithmetic sequence has a constant difference between each term. If she spend 36 dollars each week, the first week would be 36 the second week would be 72, and so on.

Answer:

The difference is that in the first equations you multiply the 10 by 4 first because of PEMDAS rule. But in the second equation you add the 4 and 5 before multiplying. Thats the only difference :D

Step-by-step explanation:

I hope this helps!!!!

Answer:

[tex]10*4+5\\By\ applying\ BODMAS, as\ there\ are\ no\ brackets\ we\ directly\ multiply(M)\ 10\\ with\ 4\ and\ add(A)\ the\ product\ with\ 5.\\[/tex]

[tex]Hence,\\10*4+5\\=40+5\\=45[/tex]

[tex]10*(4+5)\\By\ applying\ BODMAS,\ due\ to\ the\ presence\ of\ the\ brackets\ we\ carry\\the\ operations\ inside\ the\ bracket.\\ Hence,\\10*(4+5)\\=10*9\\=90[/tex]

[tex]See\ the\ difference!![/tex]

this is 2 complicated for me

Answer:

x ≤ ∞

Step-by-step explanation:

Let x represent the height of the space probe above sea level in meters.

Initially, before launch, the space probe is launched from a platform that is just above 100 meters below sea level, hence:

x < -100 (the negative sign shows that it is below sea level).

After launch, The probe is expected to travel into deep space indefinitely. Therefore the height of the probe after it is launched is represented by the inequality:

x ≤ ∞

Answer:

E, A, F

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Answer:

[tex]x=35[/tex]

Step-by-step explanation:

[tex]3x-24=81\\3x=105\\x=35[/tex]