A. f(x)=x+2 is a linear function.
Answer:
A
Step-by-step explanation:
A is a linear function because, x^2 would be a parabola, 2^x would also result in a parabola, and |2x| would be a v shape.
State whether the triangles could be proven congruent, if possible, by SSS or SAS.
Include a congruency statement for all congruent triangles.
Answer:
1. SSS
2. SAS
3. SAS
4. SSS
5. SAS
6. SAS
Step-by-step explanation:
1) Side FY ≅ Side CW Given
Side FP ≅ Side CM Given
Side YP ≅ Side MW Given
∴ΔMCW ≅ ΔFPY by the Side-Side-Side (SSS) rule of congruency
2) ∠CBD ≅ ∠BCA given that both are alternate interior angles
Side EB ≅ Side EC and Side DB ≅ Side CA Given
ΔBED ≅ ΔAEC by Side-Angle-Side (SAS) rule of congruency
3. ∠SVU ≅ ∠SVT Given
Side SV ≅ Side SV by reflexive property
Side VT ≅ Side VU Given
∴ ΔVSU ≅ ΔVST by Side-Angle-Side (SAS) rule of congruency
4. Side MN ≅ Side QP Given
Side MQ ≅ Side NP Given
Side NQ ≅ Side NQ by reflexive property
∴ΔQNM ≅ ΔQNP by the Side-Side-Side (SSS) rule of congruency
5. Indirect proof
Side GL ≅ Side HL Given
Side GJ ≅ Side HK Given
∠JLG ≅ ∠HLK vertically opposite angles
By sine rule
GJ/sin(∠JLG) = GL/n(∠GJL)
Similarly
HK/sin(∠HLK) = HL/n(∠HKL)
∴ ∠GJL ≅ ∠HKL
∴ ∠LGJ ≅ ∠LHK third angle of two triangles given the other two angles are congruent
∴ΔQNM ≅ ΔQNP by the Side-Angle-Side (SAS) rule of congruency
6. ∠XZY ≅ ∠XZW Supplementary ∠s with ∠XZY = 90°
Side XZ ≅ Side XZ by reflexive property
Side ZW ≅ Side ZY Given
∴ ΔXYZ ≅ ΔXWZ by Side-Angle-Side (SAS) rule of congruency.
The congruence theorems that can be used for each of the given pair of triangles are;
1) SSS
2) SAS
3)SAS
4) SSS
5) SAS
6) SAS
1) From the image we see that;
FY ≅ CW
FP ≅ CM
YP ≅ MW
This means that 3 corresponding sides of the 2 triangles are congruent and as such it means ΔMCW ≅ ΔFPY using the Side-Side-Side (SSS) congruency theorem.
2) From the image we see that;
∠CBD and ∠BCA are both alternate interior angles and are therefore congruent. Thus;
∠CBD ≅ ∠BCA
Also, we see that;
EB ≅ EC
DB ≅ CA
This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;
ΔBED ≅ ΔAEC using the Side-Angle-Side (SAS) congruency theorem.
3) From the image, we see that;
∠SVU ≅ ∠SVT
Using reflexive property, the shared sides give;
SV ≅ SV
VT ≅ VU
This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;
ΔVSU ≅ ΔVST using Side-Angle-Side (SAS) congruency theorem.
4) From the image, we see that;
MN ≅ QP
MQ ≅ NP
Using reflexive property, the shared sides give;
NQ ≅ NQ
This means that 3 corresponding sides of the 2 triangles are congruent and as such it means ΔQNM ≅ ΔQNP using the Side-Side-Side (SSS) congruency theorem.
5) From the image, we see that;
GL ≅ HL
GJ ≅ HK
∠JLG and ∠HLK are vertically opposite angles and as such;
∠JLG ≅ ∠HLK
This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;
ΔQNM ≅ ΔQNP using Side-Angle-Side (SAS) congruency theorem.
6) We observe from the given triangles that;
∠XZY ≅ ∠XZW (They are both right angles = 90°)
Using reflexive property, the shared side is congruent to itself and so;
XZ ≅ XZ
Also;
ZW ≅ ZY
This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;
ΔXYZ ≅ ΔXWZ using Side-Angle-Side (SAS) congruency theorem.
Read more at; https://brainly.com/question/14399801
The perimeter of a square with side length s
Answer:
4s
Step-by-step explanation:
The perimeter of a square is 4 times it's side length.
Formula for a perimeter of a square: [tex]4s[/tex]
s - side length
Hope this helps.
Tickets to a baseball game cost $22 each and parking costs $10. What is the equation of the line that represents the cost of attending the game?
y-22=10x y=22x-10 y=22x+10 22x+y=10
Using the equation y = 3x – 5, what would the output be for an input of 4
Answer:
output(y)=7
Step-by-step explanation:
y=3(4)-5
<=> y= 12-5
<=> y= 7
Please help!
If we write [tex]\sqrt{2} + \frac{1}{\sqrt{2}} + \sqrt{3} + \frac{1}{\sqrt{3}}[/tex] in the form [tex]\frac{a \sqrt{2} + b \sqrt{3}}{c}[/tex], such that [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are positive integers and [tex]c[/tex] is as small as possible, then what is [tex]a+b+c[/tex]?
Answer:
[tex]a+b+c=9+8+6=23[/tex]
Step-by-step explanation:
Let’s first simplify our expression. We have:
[tex]\displaystyle {\sqrt2+\frac{1}{\sqrt2}+\sqrt3+\frac{1}{\sqrt{3}}[/tex]
For the second term, multiply both the numerator and denominator by √2. This yields:
[tex]\displaystyle \frac{1}{\sqrt{2}}\cdot\frac{\sqrt{2}}{\sqrt{2}}=\frac{\sqrt{2}}{2}[/tex]
Similarly, for the fourth term, multiply both the numerator and denominator by √3. This yields:
[tex]\displaystyle\frac{1}{\sqrt{3}}\cdot\frac{\sqrt{3}}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]
Hence, our expression is now:
[tex]\displaystyle =\sqrt{2}+\frac{\sqrt{2}}{2}+\sqrt{3}+\frac{\sqrt{3}}{3}[/tex]
Let’s combine them. First, we will need common denominators.
Our denominators are 2 and 3. So, our common denominator will be its LCM.
The LCM of 2 and 3 is 6.
Hence, let’s make each term’s denominator 6.
For the first term, we can multiply both layers by 6. Hence:
[tex]\displaystyle \sqrt{2}=\frac{6\sqrt{2}}{6}[/tex]
For the second term, we can multiply both layers by 3. Hence:
[tex]\displaystyle \frac{\sqrt{2}}{2}=\frac{3\sqrt{2}}{6}[/tex]
For the third term, we can multiply both layers by 6. Hence:
[tex]\displaystyle \sqrt{3}=\frac{6\sqrt{3}}{6}[/tex]
And for the last term, we can multiply both layers by 2. Hence:
[tex]\displaystyle \frac{\sqrt{3}}{3}=\frac{2\sqrt{3}}{6}[/tex]
So, our expression is:
[tex]\displaystyle =\frac{6\sqrt{2}}{6}+\frac{3\sqrt{2}}{6}+\frac{6\sqrt{3}}{6}+\frac{2\sqrt{3}}{6}[/tex]
Add:
[tex]\displaystyle =\frac{6\sqrt{2}+3\sqrt{2}+6\sqrt{3}+2\sqrt{3}}{6}[/tex]
Combine like terms:
[tex]\displaystyle=\frac{9\sqrt{2}+8\sqrt{3}}{6}[/tex]
This cannot be simplified. So, c is as small as possible.
Hence: a=9, b=8, and c=6.
Therefore:
[tex]a+b+c=9+8+6=23[/tex]
A. an angle measures . What is the measure of its supplement?
B. An angle measures . What is the measure of its complement?
there are 2 parts plz answer both.
Answer:
Fkgjjgjvvkvkkv
Step-by-step explanation:
Mcmvvnvnvfngnfkkfkfkfxkcjccnvnvnvvn
Hhh
Is this a Right Triangle 9 m, 15 m, 17 m
Yes or No?
Answer:
No it would not be because two sides added up would not equal the other side
Step-by-step explanation:
Answer:
No it is not.
Step-by-step explanation:
All right triangles follow the Pythagorean theorem [tex]a^2+b^2=c^2[/tex] where the squares of the two shorter sides of the right angle triangle is equivalent to the square of the longest side.
Squares of the two shorter sides:
[tex]9^{2}+15^{2}=306[/tex]
Square of the longer side:
[tex]17^{2}=289[/tex]
∵ [tex]306\neq 289[/tex], ∴ the triangle is not a right angle triangle.
I hope this helps :)
There are 8 big fish for every
small fish.
There are 4 big fish for every
small fish.
Solve this equation: 12−3(3x−5)=12(2x+1)
Answer:
x = -3/11
Step-by-step explanation:
First, distribute the -3 and 12 within the parenthesis
12 - 9x + 15 = 24x + 12
Now, combine like terms
3 - 9x = 24x + 12
Subtract 24x from both sides of the equation
3 - 33x = 12
Subtract 3 from both sides of the equation
- 33x = 9
Divide both sides by -33
x = -9/33
-9/33 can be simplified to -3/11, so the answer is
x = -3/11
I Hope That This Helps! :)
Find the slope of the line.
Answer:
4
Step-by-step explanation:
Find the length of the diagonal of a square with perimeter 56
Answer:
About 19.8
Step-by-step explanation:
First find the side lengths. In this example, 56/4=14
Next use the Pythagorean theorem, to us it, here's the formula a squared plus b squared equals c squared. For this example use 14 squared plus 14 squared which equals 392.
Finally take the square root of 392 because we still need to take the squared out in c. The square root of 392 rounded to the nearest tenth is 19.8.
One minute after takeoff, a rocket carrying the space shuttle into outer space reaches a speed of 547 m/s. What was the average acceleration of the rocket during that initial minutes
Answer:
8000 meters per second
Step-by-step explanation:
What is the slope of the line that passes through these two points (0, -2) and (3, -4)?
Answer:
2
Step-by-step explanation:
Use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{-4-(-2)}{3-0}[/tex] = [tex]\frac{6}{3}[/tex] = 2
The slope of the line will be "[tex]-\frac{2}{3}[/tex]".
The given points are:
[tex](x_1, y_1) = (0, -2)[/tex]
[tex](x_2, y_2) = (3, -4)[/tex]
As we know,
→ The slope of the line:
= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
By substituting the values, we get
= [tex]\frac{-4-(-2)}{3-0}[/tex]
= [tex]\frac{-4+2}{3}[/tex]
= [tex]-\frac{2}{3}[/tex]
Learn more about slope of line here:
https://brainly.com/question/18891994
can someone explain how to calculate a unit rate
Answer:
It's like 60 miles per (1) hour or 20 mL per (1) second. Independent value has to equal 1.
The sum of 3r2 + 58 - 6 and -r2 + 3x + 9 is?
Answer:
2r ^2 +61+3x
Step-by-step explanation:
1 Collect like terms.
(3{r}^{2}-{r}^{2})+(58-6+9)+3x(3r
2
−r
2
)+(58−6+9)+3x
2 Simplify.
2{r}^{2}+61+3x2r
2
+61+3x
If you factor 27x^3+1 in form (a-b)(a^2+ab+b^2) what is the value of a?
Answer:
3x
Step-by-step explanation:
i took the test and got it right
Help me now!!!!! This is due at 12
Answer:
umm what grade are you in???
144/9= 16!!!!!
Step-by-step explanation:
anyways wont act exactly like you and the answer is 16
Today only every sweatshirt is $5.75 less than normal price. Right now if you buy 5 sweatshirts. The total cost will be $78.75. What is the normal price of the sweatshirt?
Answer:
13.695
Step-by-step explanation:
78.75/5=15.75/5.75=2.739*5=13.695
Sarah's math grade average is 93.3333(repeating)%. What is the repeating decimal part of her grade as a fraction?
Answer:
280/3
Step-by-step explanation:
multiply the number by 10x
subtract it by the original number on both sides
it should give u 9x to whatever answer u got multiply by 10 then divide by 90
In a group of 27 pupils, 7 play the flute only.
5 play the piano only.
10 play both instruments.
A student is chosen at random.
What is the probability the student plays neither instrument?
Answer:
5/27
Step-by-step explanation:
I wrote it as a fraction, but the explanation is, if you're finding out how many who don't play instruments, you first need to find out who many do play instruments, so you add the numbers together.
10+5+7 = 22
So the probability that you'll pick one who does play an instrument would be 22/27 (because 22 out of the 27 pupils play an instrument.) But remember that's not what it's asking us for.
You have to subtract 27 - 22 to get the pupils who don't play instruments, you get 5, so the probability is 5/27 (5 pupils out of 27 don't play instruments.)
To put this in a percent, just divide the top number by the bottom number and move the decimal 2 places over, you get 18.5% or 19% both answers are correct depending on rounding.
Find the length of the missing side. The triangle is not drawn to scale
Answer:10
Step-by-step explanation:Use the Pythagorean theorem a^2 + b^2 = c^2, a is 8 and b is 6 so now you have 8^2 + 6^2 = C^2 this simplifies to 64 + 36 = c^2 those 2 numbers add up to 100 so C^2 is 100 then to get C you take the square root of 100 which is 10
The missing side 10.
Option C is the correct answer.
What is the Pythagorean theorem?Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We can apply this theorem only in a right triangle.
Example:
The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.
Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm
We have,
Applying the Pythagorean theorem.
c² = 6² + 8²
c² = 36 + 64
c² = 100
c = √100
c = 10
Thus,
The missing side is 10.
Learn more about the Pythagorean theorem here:
https://brainly.com/question/14930619
#SPJ1
(10pts) A train left a station at 8:00 am
going at 45 mph. A second train left the station
at 10:00 am going in the same direction at 55
mph. At what time will the second train catch
up with the first train?
Answer:
12:00 i think
Step-by-step explanation:
hope this helps
solve.
1/x = 1/5x = x-1/5x
Answer:
5=x=x-1
Step-by-step explanation:
Mutiply each equation by 5x
You will get 5=x=x-1
Evaluate 2x
2 + y if the values of x = 3, and y = 10
Answer:
6,12
Step-by-step explanation:
i have no idea what to do
do u want me to evaluate 1 problem or 2
The coordinate grid shows three points P, Q, and R:
PLEASE HELP!!!!!!!!
A four-quadrant coordinate grid from negative 10 to positive 10 in increments of 2 is drawn. Point P is plotted on the ordered pair negative 6, negative 2. Point Q is plotted on the ordered pair negative 6, negative 6. Point R is plotted on the ordered pair 4, negative 6.
The distance between Q and R is ______ units.
Answer:
the answer is 10 the other dude is right
Step-by-step explanation:
Answer:
10
Step-by-step explanation:i just took the test and got it right :)
Kendall bought a vase that was priced at $450. in addition, she had to pay 3% sales tax. How much did she pay for the vase?
Answer:
$463.50
Step-by-step explanation:
3% of 450 is 13.50
450+13.50=463.50
hope this helps :3
if it did pls mark brainliest
463.5 idrk
but 3& make it into a decimal so .03 then multipy it by 450 then you get 13.5 you add it to 450 and get 463.5
HELPPPP! ILL GIVE YOU BRAINLIEST!
Answer:Can you put the question?? Thank You
Step-by-step explanation:
Answer:
what can i help with?
Step-by-step explanation:
PLEASE HELP ME 16 POINTS PLEASE HELP
Answer:
Slope: Rise/run
= -2/4
= -1/2
Answer:
-1/2
Step-by-step explanation:
Like I said in your previous question!!
RISE/RUN.
Choose a point, rise how many you need to, then run. Since you run 'backwards' after rising, this slope is negative!
I hope this helps!!
I need this answer ASAP!!!!!!
What is 1 + 2?
Answer:
3
Step-by-step explanation:
What is the length of segment MO?
PHOTO ABOVE
I need to pass!!!!!
Pls try!!!
Answer: 13
Step-by-step explanation: In the picture, you have angle H congruent to angle N, Side MN congruent to side GH, and angle G congruent to angle M. That means that these two triangles are congruent by ASA. Therefore by CPCTC, side GI is congruent to side MO, which means that MO is 13.