Tamika wants to predict the outcome of next Tuesday’s game, between the Nets and the Warriors.
She believes that the Warriors will score 19 points less than the Nets. Tamika also predicts that the total amount of points scored for both teams will be 207 points.

How many points does Tamika think that the Warriors will score? How many points will the Nets score?

Given:

ΔONP and ΔMNL.

To find:

The method and additional information that will prove ΔONP and ΔMNL similar by the AA similarity postulate?

Solution:

According to AA similarity postulate, two triangles are similar if their two corresponding angles are congruent.

In ΔONP and ΔMNL,

[tex]\angle ONP\cong \angle MNL[/tex]       (Vertically opposite angles)

To prove ΔONP and ΔMNL similar by the AA similarity postulate, we need one more pair of corresponding congruent angles.

Using a rigid transformation, we can prove

[tex]\angle NOP\cong \angle NML[/tex]

Since two corresponding angles are congruent in ΔONP and ΔMNL, therefore,

[tex]\Delta ONP\sim \Delta MNL[/tex]        (AA postulate)

Therefore, the correct option is A.

Similar triangles may or may not be congruent.

The additional information to prove ΔONP and ΔMNL are similar by AA similarity postulate is (a) Use a rigid transformation to prove ∠NOP ≅ ∠NML.

From the question, we have:

[tex]\mathbf{\triangle ONP \sim \triangle MNL}[/tex] --- ONP and MNL are similar triangles

Because the similarities of the triangles are to be proved by AA postulate, the following angles must be corresponding and congruent

[tex]\mathbf{\angle ONP \cong \angle MNL}[/tex]

[tex]\mathbf{\angle NOP \cong \angle NML}[/tex]

[tex]\mathbf{\angle PON \cong \angle LMN}[/tex]

Option (b) is incorrect because angles NOP and ONP are not corresponding angles

Options (c) and (d) are incorrect, because they prove the similarities by lines segments.

Hence, the correct option is (a).

This is so because, it proves the similarities of both triangles by using corresponding angles.

Read more about similar triangles at:

https://brainly.com/question/20502441

Answer:

(0, -2)

Step-by-step explanation:

You are correct: x = 0 at the y-intercept, and the y-intercept is show with the y-coordinate of -2

Answer:

8. $52.85 you'll save $22.65

9. $30.74 you'll save $10.25

10.$18.00 you'll save $12.00

Step-by-step explanation:

Answer:

8. $52.85 saved$19.65

9. $30.74 saved$10.25

10. $18.00 saved$12.00

Answer:

Jenny James would need to have a score of 97 out of 100 points in order to have an average of 90.

Step-by-step explanation:

Given that:

Scores of four tests

78, 89, 90 and 96

Let,

x be the score on fifth test.

Average is the sum of quantities divided by total number of quantities.

Average = 90

Average = [tex]\frac{Sum\ of\ scores}{No.\ of scores}[/tex]

Putting the values in the formula;

[tex]90=\frac{78+89+90+96+x}{5}\\90=\frac{353+x}{5}\\90*5=353+x\\450=353+x\\450-353=x\\x=97[/tex]

Hence,

Jenny James would need to have a score of 97 out of 100 points in order to have an average of 90.

Answer:

F = C/59 + 32

Step-by-step explanation:

Answer:

There are five possible types of solutions to the system of nonlinear equations representing an ellipse and a circle

Step-by-step explanation:

P.S Can I have brainliest?

Answer:

Step-by-step explanation:

Depends on how many points on the graph

its either A or B

Step-by-step explanation:

its not C or D because it has to be an acute angle

Step-by-step explanation:

A. Where do you see circles and semicircles in the world around you?

1. Ring.

2. Earing

3. Coin

4. Hockey puck

5. Car tyre

6. Dartboard

7. Wreath

8. Plate

9. Hula hoop

10. Mercedes logo

11. Bass drum

12. Drain

B. Why could finding the area or circumference be helpful?

Finding the area or circumference can help us estimate the size of these circular shape/figures, it can tell us the amount of space they can occupy or the amount of materials needed to produce them

Answer:

you move up and across then write it as a fraction rise over run

So the formula is (y2 - y1) / (x2 - x1)

Answer:

2 time s=two then minus the neighbors kids

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

30/90 is 1/3.   1/3 is equal to 6/18

Hope that helpsssss :DD

Answer:

6

Step-by-step explanation:

30/90 = 1/3

If you multiply 6 by 3, you get 18

Answer:

22.5 miles

Step-by-step explanation:

15 miles every hour, and there is 1.5 hours, so cut 15 in half, 7.5 and add that the 15

Answer:

n=2 dont add your -6n and 21 together only variables can go with variables and you learn this in 6th-7th grade anyway.

Answer:

$100 per deposit

Step-by-step explanation:

Answer:

It is very simple all you have to do is take the first two points and figure how far they are apart from each other. Well from 250 to 150 is 100 so every deposit they put 100 dollars in so the answer is.

$100 dollars deposit

That one in the san Andreas movie?

Answer:

Number of gallons consumed by first car = 15 gallons

Number of gallons consumed by second car = 25 gallons

Step-by-step explanation:

Given that:

Fuel efficiency of first car = 30 miles per gallon

Fuel efficiency of second car = 15 miles per gallon

Total distance traveled = 825 miles

Total gas consumption = 40 gallons

To find:

Number of gallons consumed by each car = ?

Solution:

Let the number of gallons consumed by first car = [tex]x[/tex] gallons

As per question statement, number of gallons consumed by second car:

[tex]40-x[/tex]

Number of miles covered by a car = Fuel efficiency [tex]\times[/tex] Number of gallons consumed

Number of miles covered by first car = 30 [tex]\times[/tex] [tex]x[/tex]

Number of miles covered by second car = 15 [tex]\times[/tex] ([tex]40-x[/tex])

Using the given statement:

[tex]30x+15(40-x)=825\\\Rightarrow 30x+600-15x=825\\\Rightarrow 15x=225\\\Rightarrow x =15\ gallons[/tex]

Therefore, Number of gallons consumed by first car = 15 gallons

Number of gallons consumed by second car = 40 - 15 = 25 gallons

Step-by-step explanation:

please see it my step work solution

Answer:

b=1

Step-by-step explanation:

1) Distribute

6+7b-7=5+b

2) Combine like ter,s

7b-1=5+b

3) Isolate variable

6b=6

4) Solve

b=1

Answer:

b = 1

Step-by-step explanation:

6 + 7b - 7 = 5 + b

7b - b = 5 - 6 + 7

6b = 6

b = 1

Answer:

B

Step-by-step explanation:

The equation is y=mx+b

m=slope

b=y-intercept

Answer:

b

Step-by-step explanation:

The slope intercept form of a line  is given by

y = mx+b  where m is the slope and b is the y intercept

Answer:

130.25ft

Step-by-step explanation:

a^2+b^2=c^2

5.5^2+10^2=

30.25+100=

Answer:

The answer is "[tex]\bold{(-\infty, \infty)}[/tex]"

Step-by-step explanation:

Given:

[tex]\to \bold{\frac{\frac{x^2-bx +ax - ab}{x2+bx-ax - ab}}{\frac{x2+bx+ax +ab}{x2-bx-ax+ab}}}[/tex]

[tex]\to \frac{x^2-bx +ax - ab}{x2+bx-ax - ab} \times \frac {x2-bx-ax+ab}{x2+bx+ax +ab}\\\\\to \frac{x(x-b) +a(x - b)}{x(x+b)-a(x +b)} \times \frac {x(x-b)-a(x-b)}{x(x+b)+a(x +b)}\\\\[/tex]

[tex]\to \frac{(x-b) (x+a)}{(x+b)(x-a)} \times \frac {(x-b)(x-a)}{(x+b)(x +a)}\\\\\to \frac{(x-b)}{(x+b)} \times \frac {(x-b)}{(x+b)}\\\\\to \frac{(x-b)^2}{(x+b)^2} \\\\[/tex]

[tex]\to f(x) = \frac{(x-b)^2}{(x+b)^2} \\\\[/tex]

So, the domain are [tex]\bold{(-\infty, \infty)}[/tex]

Answer:

10.24

Step-by-step explanation:

8.77 plus 1.47 = 10.24

Answer:

y = 10.24

Step-by-step explanation:

y - 1.47 = 8.77

=> y = 8.77 + 1.47

=> y = 10.24

Answer:

Where is the table?

Step-by-step explanation:

Where be it

Answer:

x= -3

Step-by-step explanation:

Answer:

3 (x+5) =6 (use the distributive property)

3x + 15 = 6  ( subtract 15 from both sides to isolate the x-term)

3x = -9 (divide both sides by 3 to get x alone)

x= -3 (the answer )

Answer: your answer is A.

From the graph, we can find the y-intercept, or where the line intercepts the y-axis, and the slope of the line to formulate our equation.

With this information, we can write the equation of the line:

C. y = -5x + 3

*Note: the slope-intercept formula for a line is y = mx + b, where m is slope and b is the y-intercept.

Answer:

x= -9

Step-by-step explanation:

-8-3x+8=27

-8+8=0

-3x=27

divide by -3 both sides

27÷-3= -9

x= -9

Answer:

6(x+5)

Step-by-step explanation: