In the diagram, the measure of angle 9 is 85°.


4 lines intersect to form 16 angles. The angles created, clockwise from top left are 1, 2, 3, 4; 5, 6, 7, 8; 9, 10, 11, 12; 13, 14, 15, 16.


Which angle must also measure 85°?

Angle2

Angle5

Angle11

Angle12

Answer:

b = -a

Step-by-step explanation:

We know that:

On a number line, the distance between 0 and b is the same distance that between 0 and a (but b and a are in opposite sides of zero).

And we know that, for example, when:

b = 2,  a = -2

Remember that the distance between two values is given by:

|n - m|

Then the distance between 0 and b is:

|0 - b|

and the distance between 0 and a is:

|0 - a|

we have:

|-b| = |-a|

|b| = |a|

But the numbers are in opposite sides of the zero, so one must be positive and the other negative, then we can conclude that:

b = -a

or

-b = a

(these are equivalent)

Then the correct option is the first option:

b = -a

Answer: x= -5+ 2 squared.

Step-by-step explanation:

Answer:

67

Step-by-step explanation:

Answer.

67°

Step-by-step explanation:

the two lines are parallel so,

angle on line XY 67° is alternate angle on BD so, angle will be opposite angle y.

therefore, angle y= 67°

i got help from an awesome app called Gauthmath you can check it out on play store and app store. in my opinion avery good app with tutors and concept videos.

Answer:

a. Alternate exterior angles.

b. <A and <B are congruent. This diagram involves a line intersecting two parallel lines, forming the congruent angles <A and <B on opposite sides of the transversal.

c. They are alternate exterior angles like <A and <B, but because it is not guaranteed that the transversal is intersecting parallel lines in this case, we cannot prove that <C and <D are congruent alternate exterior angles.

Answer:

to prevent tyranny

Step-by-step explanation:

the government was weak so the founding fathers decided to write it.

Answer:

Its the last one

Step-by-step explanation:

-1/2 y(2y^3+8) is

-1 y^4 + 4 y

Answer:

x ≈ 16.5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 70°

Opposite Leg = x

Adjacent Leg = 6

Step 2: Solve for x

Answer:

6:22

Step-by-step explanation:

original time minutes when they both started - 47

47+ natalie's time

47+27 =74

minus 60 minutes to account for the hour (6 o'clock)

74-60=14

natalie finished at 6:14

warren finished 8 minutes after natalie's time

14+8=22

the hour did not finish so it will remain at 6

which leaves your final answer for the time that warren finished as 6:22

Answer and explanation:

Assuming Edmund has $0

From Edmund, we know the toy costs $40(assuming it's in dollars)

Lucy gives him $40 and has $10 less($40-$10) to buy her own toy

Therefore Lucy had $40+$30= $70 before giving Edmund $40 for his toy.

Lucy currently has $70-$40 =$30, therefore needs $10 more to buy her own toy

Answer:

148.91

Step-by-step explanation:

hope it helps<333

Answer:

8f² + 11f

Step-by-step explanation:

there are no expressions listed

This is the expression simplified

8f² + 11f

7/10= 28/40

5/8=25/40

0.8=4/5=32/40

32>28>25

So 0.8>7/10>5/8

Answer:

1/4

Step-by-step explanation:

pitches >3

pitches=4,5

P=(15+10)/(15+20+40+15+10)=1/4

Answer:

L DAC

Step-by-step explanation:

__________________

Answer: easy

Step-by-step explanation: 0.25 there

Given:

Consider the below figure attached with this question.

To find:

The domain of the graphed function.

Solution:

Domain is the set of input values or x-values.

From the given graph it is clear that the function has one end point at (0,9) and an arrow at (8,1). It means it is not a line because it is a ray that moves further from point (8,1) in the downward direction.

The minimum value of x is 0 and their is no maximum value of x because  graph of the function is a ray. So, the domain of the given function is:

[tex]\text{Domain}=\{x|x\geq 0\}[/tex]

Therefore, the correct option is A.

Answer:

D: 9.041 × 10^(10)

Step-by-step explanation:

The correct expression is;

(9.84 × 10^(10)) - (7.99 × 10^(9))

To subtract this, we need to ensure that both terms have the same powers.

Thus, (7.99 × 10^(9)) = (0.799 × 10^(10))

Lets now solve;

>> (9.84 × 10^(10)) - (0.799 × 10^(10))

Collecting like terms we have;

(9.84 - 0.799) × 10^(10)

>> 9.041 × 10^(10)

Answer:

Picture Below

Step-by-step explanation:

You can simplify it by dividing it into

y = -1.5x-1

Answer:

Rs. 20246

Step-by-step explanation:

According To the Question,

Thus, the third payment, he has to make to clear the entire loan.

First-Payment = ( 50000 x 1.06 ) - 18000  ⇔  35000 Rs.

Second-Payment = (35000 x 1.06) - 18000  ⇔ 19100 Rs.

Third-Payment = (19100 x 1.06 ) ⇔ 20246 Rs. the third payment, he has to make to clear the entire loan.

Answer:

3, 5, 7, 7, 8

Step-by-step explanation:

3, 5, 7, 7, 8

the mean = (3+5+7+7+8)/5 = 30/5= 6

the mode = 7

Answer:

Hi, there the answer is 8.29308689E11

Step-by-step explanation:

Answer:

C is your correct answer

Step-by-step explanation:

just multiply it together  then you get  70.51

Answer:

the cost of Roy's ride is $23.05

Step-by-step explanation:

According to the Question,

Let, Cost of per minute charge is 'x' & Cost Of Per Kilometre charge is y .

⇒ Judy's ride costs $16.75 . but the actual cost after deducting the fixed charge is 16.75-2.55 = $14.20, took 8 minutes & The distance travelled was 10 km. Thus, the equation for the journey is 8x+10y=14.20 ⇒ Equ. 1

⇒ Pat's ride costs $30.35 . but the actual cost after deducting the fixed charge is 30.35-2.55 = $27.80, took 20 minutes & The distance travelled was 18 km. Thus, the equation for the journey is 20x+18y=27.80 ⇒ Equ. 2

Now, on Solving Equation 1 & 2, We get

x=0.4(Cost of per minute charge) & y=1.1(Cost Of Per Kilometre charge)

Now, Roy's ride took 10 minutes & The distance travelled was 15 km . Thus, the cost of Roy's Ride is 10x+15y ⇔ 10×0.4 + 15×1.1 ⇔ $20.5

Hence, the total cost of Roy's ride is 20.5 + 2.55(fixed cost) = $23.05

Answer:

Step-by-step explanation: example:

Problem: You deposit some money into a bank account paying 2% simple interest per 6 months. You received $15 in interest after 9 months. How much the deposit (principal) was?

Result: The principal was $500.

STEP 1: Convert interest rate of 2% per 6 months into rate per year.

STEP 2: Convert 9 months

STEP 3: Find principal by using the formula , where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.

In this example I = $15, i = 4% and t = 0.75 years, so

Answer:

See explanation

Step-by-step explanation:

A

x + 3y = 5

(x, y) = (2,1)

x + 3y = 5

2 + 3(1) = 5

2 + 3 = 5

5 = 5

The equation is true

B.

y = –x + 3

(x, y) = (2, 1)

y = –x + 3

1 = -2 + 3

1 = 1

The equation is true

Answer:

2nd option

Step-by-step explanation:

Given

3x³ - 15x² - 4x + 20

step 1 ( group the first/second and third/fourth terms )

(3x³ - 15x² ) + (- 4x + 20)

step  2 ( factor each group )

3x² (x - 5) - 4(x - 5) ← note factor of - 4 ( not + 4 )

step 3 ( factor out (x - 5) from each term )

(x - 5)(3x² - 4)

Answer:

ITS D !!!!

Step-by-step explanation:

got it right on test