Answer:
AAS since if one of the side has a right angle that is one a straight line, then the other should be a right angle too. Since they also share a side, they must be congruent also, making it AAS.
Step-by-step explanation:
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.
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 :)
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
Two trains leave stations 324 miles apart at the same time and travel toward each other. One train travels at 100 miles per hour while the other travels at 80 miles per hour. How long will it take for the two trains to meet? Do not do any rounding.
Answer: The first train gets to the station in 3 hours 14 minutes, and 40 seconds if it is a consent speed of 100 mph The second train gets to the station in 4 hours and 3 minutes if it is a consent speed of 80 mph, so they would meet in 4 hours and 3 minutes.
Step-by-step explanation:
A home improvement store advertises 60 square feet of flooring for $287.00, which includes an $80.00 installation fee. Write an equation to represent the cost of one square foot of flooring
Given :
A home improvement store advertises 60 square feet of flooring for $287.00, which includes an $80.00 installation fee.
To Find :
Write an equation to represent the cost of one square foot of flooring.
Solution :
Fee of one square feet, p = $287/60 = $4.783 .
So, slope of equation will be 4.783 .
Price of installation is $80 dollar.
Therefore, equation to represent the cost of one square foot of flooring is :
C = 4.783n + 80
Here, C is total cost and n is number of square feet.
Hence, this is the required solution.
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.
Find the slope of the line.
Answer:
4
Step-by-step explanation:
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
how to use the pythagorean theorem on a rectangle that is missing a side and its represented by a letter?
Answer:
Wrong
Step-by-step explanation:
Pythagorean theorem is not used for rectangles but only for triangles
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.
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
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 :)
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
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:
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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:
what is the rule for gallons
Answer:
Many aquarists swear by the standard rule of “one inch of fish per gallon” rule.
Step-by-step explanation:
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
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
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
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! :)
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
The difference of the squares of two positive consecutive integers is 991. Find the integers.
Answer:
The numbers are 495 and 496.
Step-by-step explanation:
[tex](x+1)^{2} -x^{2} =991\\x^{2} +2x+1-x^{2} =991\\2x+1=991\\2x=990\\x=495[/tex]
Solve 15x +2=17
Please help me. It’s superrrr important
Answer:
15x +2=17 so the first thing you want to do is minus 2 then divide by 15 which gives you x=1
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.
A cake recipe contains sugar and flour in the ratio 3 : 2.
How much of each ingredient is needed to make 600 gram of such a cake?
Answer:
360 g of sugar and 240 g of flour
Step-by-step explanation:
add the parts of the ratio, 3 + 2 = 5 parts
Divide the total by 5 to find the value of one part of the ratio.
600 g ÷ 5 = 120 g , thus
3 parts = 3 × 120 g = 360 g ← amount of sugar required
2 parts = 2 × 120 g = 240 g ← amount of flour required
Answer:
360 grams of sugar and 240 grams of flour
Step-by-step explanation:
First, find the sum of the parts of the ratio: 3 + 2 = 5
Divide the total amount (600) by the amount of parts:
600/5 = 120
Now multiply 120 by the amount of each part of the ratio:
210 * 3 = 360
360 * 2 = 240
360 grams of sugar and 240 grams of flour are needed to make 600 grams of a cake.
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
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 value of y varies directly with the value of x. If x = 8 then y = 320. What is the value
of x when y = 52?
Answer:
1.3
Step-by-step explanation:
I believe this is correct because if you divided 320 by 52 you get 6.15384615385 (or just 6.1) and since we did it to the Y operation we do it to the X operation and x, aka 8, divided by 6.1 equals 1.3.
I'm not 100 percent sure about this, this was very rushed. xx
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 y value of the solution to the system of equations given? y=5x-3 3x-2y=27
Answer:
y = -18
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
y = 5x - 3
3x - 2y = 27
Step 2: Rewrite systems
Define: 3x - 2y = 27Add 2y on both sides: 3x = 2y + 27Divide 3 on both sides: x = 2/3y + 9Step 3: Redefine
y = 5x - 3
x = 2/3y + 9
Step 4: Solve for y
Substitute in x: y = 5(2/3y + 9) - 3Distribute 5: y = 10/3y + 45 - 3Combine like terms: y = 10/3y + 42Subtract 10/3y on both sides: -7/3y = 42Divide -7/3 on both sides: y = -18