Answer:
26
Step-by-step explanation:
please help me!!! i will gladly give brainliest :)
Which method and additional information would prove ΔONP and ΔMNL similar by the AA similarity postulate?
A. Use a rigid transformation to prove ∠NOP ≅ ∠NML.
B. Use a rigid transformation to prove ∠NOP ≅ ∠ONP.
C. Use rigid and nonrigid transformations to prove segment LN over segment ON = segment PN over segment MN.
D. Use rigid and nonrigid transformations to prove segment LM over segment ON = segment PN over segment MN.
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
i don't understand this equation -6n+21=12n-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.
A cyclist travels at a speed of 15 miles per hour for 1.5 hours.Find the distance the cyclist travels
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
60 POINTS
Does the following table show a proportional relationship between the variables g and h?
Answer:
Where is the table?
Step-by-step explanation:
Where be it
find x in the given triangle
Y=mx+
finish the equation
Its one of the options
M
B
F
C
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
A family has two cars. The first car has a fuel efficiency of 30 miles per gallon of gas and the second car has a fuel efficiency of 15 miles per gallon of gas. During one particular week, the two cars went a combined total of 825 miles, for total gas cumsumption of 40 gallons. How many gallons were consumed by each car
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
Which of the following graphs contain the vertex and point below?
vertex (-2, 4), point (2, 84)
a) y = 5(x - 2)2 + 4
c) y = 5(x + 2)2 + 4
b) y = 84(x + 2)2 - 4
d) y = 2(x - 2)2 + 4
please help need done before 2
Answer:
130.25ft
Step-by-step explanation:
a^2+b^2=c^2
5.5^2+10^2=
30.25+100=
Solve for y.
y- 1.47 = 8.77
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
How many solutions does this nonlinear system of equaTions have?
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
Have you ever wondered why runners start at different spots on a track instead of lining up together? This is called a staggered start. Since tracks have semicircles (or half circles) on the ends, if all the runners lined up together, runners in outer lanes would need to run farther than runners in inner lanes. Why? Because the circumference of the outer lane is greater than the circumference of the inner lane. Staggering starting positions ensures that all runners run the same distance! Where do you see circles and semicircles in the world around you? Why could finding the area or circumference be helpful?
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
A hang-glider 25 meters above the ground started to descend (go down) at a constant rate of 2 meters per second. Which equation could be
used to determine the height h of the glider after t seconds of descent?
Answer:
Step-by-step explanation: h = -2t + 25
2t = the distance the glider will pass descending with constant speed of 2 m/s (distance = speed*time)
25 = the initial height that will decrease by the distance that the glider will pass while descending during time t
1. y = 5x + 2, (2,7)
y=5x−2 , y=−2x+5
Eliminate the equal sides of each equation and combine.
5x−2=−2x+5
Move all terms containing
x
to the left side of the equation.
Tap for more steps...
7x−2=5y=−2x+5
Move all terms not containing
x
to the right side of the equation.
Tap for more steps...
7x=7y=−2x+5
Divide each term by
7
and simplify.
Tap for more steps...
x=1y=−2x+5
Replace all occurrences of x in y=−2x+5 with 1.
x=1y=−2⋅1+5
Simplify −2⋅1+5.
Tap for more steps...
x=1y=3
The solution to the system of equations can be represented as a point.(1,3)
The result can be shown in multiple forms.
Point Form:(1,3)
Equation Form:
x=1,y=3
First to answer this correctly will get a brainlliest.
WHY DOES NODBODY HELP ME PLZZ HELP
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.
y-intercept = 3slope = -5With 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.
What is the domain of x^2-bx +ax - ab/x2+bx-ax - ab /x2+bx+ax +ab/x2-bx-ax+ab
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]
What’s the answer I need help?
its either A or B
Step-by-step explanation:
its not C or D because it has to be an acute angle
Pls help. A, B, C, or D?
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
What is the name of the most dangerous fault line in the U.S.?
Your
That one in the san Andreas movie?
On a graph, how do you find slope?
Answer:
you move up and across then write it as a fraction rise over run
So the formula is (y2 - y1) / (x2 - x1)
I need help with this question!
Experts only please
Will mark brainliest
What is -5x +81x -15
Answer:
i think its 76x - 15
Step-by-step explanation:
Sorry if its wrong
Answer:
Answer is 76x -15
Step-by-step explanation:
HELP ASAP!!!
The relation given by {(-6, 3), (-2, 4), (1, 5), (4,0)} is a function.
Which ordered pair can be included with this relation to form a new relation that is also
a function?
A. (1,-5)
B. (-2, 19)
C. (4,4)
D. (6,3)
Factor 6x + 30 to identify equivalent expressions. Select all that are equivalent expressions.
2(3x + 15)
6(x + 30)
6(x+5)
3(2x + 10)
PLEASE HELP
Answer:
6(x+5)
Step-by-step explanation:
Can someone help me on this and thanks :)
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
Caden earned $24 for cleaning his neighbor's house 6 times. If Caden charged the same rate and earned $40, how many times did he clean his neighbor's house? Use a unit rate to find the unknown value.
Answer:
2 time s=two then minus the neighbors kids
Step-by-step explanation:
30/90= ?/18 please help i don’t know how to do this.
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
HELP ME PLSS,, I need help
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
Jenny James has score of 78 89 90 and 96 on her first four test what score should she make out of 100 points in order to have at least an average of 90
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.