Answer: 46 years old
Step-by-step explanation: If Devaughn is 13 years younger than Sydney,
we can represent Sydney's age as x and Devaughn's age as x - 13.
Since the sum of their ages is 79, we have x + x - 13 = 79.
This simplifies to 2x = 92.
Dividing both sides by 2, we have x = 46.
So sydney is 46 years old.
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.
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!!
Can someone help me please?
Answer:
about 6000π
Step-by-step explanation:
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
Select all equations that can result from adding these two equations or subtracting one from the other.
x+y=12
3x-5y=4 PLZ
HELP QUICK I WILL GIVE BRAINLYIEST
Answer:
If the equation is in the form, ax + b = c, where x is the variable, you can solve the equation as before. First “undo” the addition and subtraction, and then “undo” the multiplication and division. Solve 3y + 2 = 11. Subtract 2 from both sides of the equation to get the term with the variable by itself.
Step-by-step explanation:
hope this helps, sorry if late
Martin correctly answered 90% of the questions on a math test that contained exactly 40 questions. How many of the questions did he answer incorrectly? explain
A) 4
B) 10
C) 44
D) 90
Answer:
A. 4
Step-by-step explanation:
90% of 40 is = 36
40 - 36 = 4
Since he got 36 right out of 40, he got 4 wrong.
Help me out please !!!
Answer:
rate of change = 1.75 over 1 or just 1.75
Step-by-step explanation:
this represents the cost of each cantaloupe. This basically means that each cantaloupe is $1.75.
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
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:
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 :)
i need help ASAP ill mark u a brainiest i need an answer thats it
Answer:
I think it's 7.5 correct me if i'm wrong
Step-by-step explanation:
7.5 is half of 15
Use the midsegement theorem
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 :)
Select all of the numbers that are greater than -5.
1.) 1.3
2.) -6
3.) -12
4.) -1
5.) -4
Answer:
1.3,-1, and -4
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.
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.
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! :)
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]
I NEED HELL LIKE RIGHT NOW !!!
Which equation represents the graph?
Answer:
ummm im pretty sure its d
Step-by-step explanation:
Answer:
im pretty sure its last option y=2x
Step-by-step explanation:
on the graph it touches all even numbers
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.
PLEASE HLEP WITH QUESTION ONE PLS
1. Given the diagram to the right and information below, determine
which lines, if any, are parallel. State the converse that justifies
your answer.
199
10
0
10
b
c
Glven
Parallel Lines
Converse
a. 213a 217
b. 24 a 29
c. m219+ m222 180°
d. 8210
e. 210
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
a .
Parallel lines → a & c
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
b .
Parallel lines → d & e
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
c .
I couldn't read it....
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
d .
Parallel lines → ---
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
e .
Parallel lines → b & c
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
f .
Parallel lines → a & c
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
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
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
Find the slope of the line.
Answer:
4
Step-by-step explanation:
WILL GIVE BRAINLIST!!!!! Select the correct answer. Which graph represents this function? f (x) = 1/2x -5 A. B. C. D.
Answer:
B
Step-by-step explanation:
The y-int. is -5 like the equation and the slope is positive
PLEASE PLEASE PLEASE HELP I WILL GIVE XTRA POINTS AND BRAINALIST TO FIRST PERSON
Answer:
the answer is A because it has all numbers less than 15
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
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
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
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
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