Answer:
hypotenuse leg theorem or OHL
Step-by-step explanation:
Since the congruent angle is a right angle and it is not included, the two congruent sides of the triangles must include their hypotenuses and one of their legs.
The triangles would be congruent by the hypotenuse leg theorem, which states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, the triangles are congruent.
The congruence theorem that can be used to prove both triangles are congruent is: AAS
What is congruence theorem?As per this theorem the two triangles are congruent if two angles and a side not between these two angles of one triangle are congruent to two corresponding angles and the corresponding side not between the angles of the other triangle.
What is AAS Congruency Theorem?This one denotes Angle - Angle - Side and it means that if 2 angles and the non-included side of a triangle are equal to corresponding 2 angles and the non-included side of another triangle, then they are both congruent.
When we have two triangles in which the two angles and a non-included side of one is congruent to the corresponding two angles and corresponding non-included side of the other, both triangles can be proven to be congruent by the AAS Congruence Theorem.
Since the two sides and the non-included side of one triangle is congruent to the corresponding two sides and the non-included side of the other, the congruence theorem that can be used to prove both triangles are congruent is: AAS
Find out more information about congruence Theorem here
https://brainly.com/question/19258025
#SPJ3
Carter answered 5% of the questions
on a math test incorrectly, or 1
question. What fraction of the
questions did Carter answer correctly?
Answer:19/20
1-20=19
1÷20=0.05
0.05=5%
I hope this is good enough:
if a sprinkler waters 1/14 of a lawn in 1/2 hour, how much time will it take to water the entire lawn
Answer:
7 hours
Step-by-step explanation:
1/14 * 14 = 1 whole lawn
1/2 hours = 30 minutes
14 * 30 = 420 minutes to water entire lawn
420 minutes = 7 hours
rewrite the function f(x)=3(x-1)^2+9 in the form f(x)=ax^2+bx+c
Answer:
f(x) = 3x² - 6x + 12
General Formulas and Concepts:
Order of Operations: BPEMDAS Expand by FOIL (First Outside Inside Last) Standard Form: f(x) = ax² + bx + c Vertex Form: f(x) = a(bx + c)² + dStep-by-step explanation:
Step 1: Define function
Vertex Form: f(x) = 3(x - 1)² + 9
Step 2: Find Standard Form
Expand by FOILing: f(x) = 3(x² - 2x + 1) + 9Distribute 3: f(x) = 3x² - 6x + 3 + 9Combine like terms (constants): f(x) = 3x² - 6x + 12If p(x) = x2 – 1 and q (x) = 5 (x - 1), which expression is equivalent to (p – q)(x)?
Answer:
x2 – 1) – 5(x – 1)Step-by-step explanation:
The graph shows the speed of sally the sloth. How long would it take Sally to travel 9 feet
Answer:
dude wheres the choices
Step-by-step explanation:
Terrence is learning how to play the piano. Each lesson costs $18.50, and he usually pays for a whole month in advance. If he has 4 lessons scheduled for next month, how much will he pay?
Answer:
$74
Step-by-step explanation:
If each lesson is 18.50 and he has 4 lessons next month, you multiply 18.50 by 4 which you will get 74. So he has to pay $74
Answer:
$74
Step-by-step explanation:
Jill is factoring the expression 13 x y minus 52 y. Her work is shown below.
Factors of 13 x y: 1, 13, x, y
Factors of 52y: 1, 2, 26, 52, y
GCF: y
Factored expression: y (13 x minus 52)
Which best describes the accuracy of Jill’s solution?
Jill’s solution is accurate.
Jill omitted a factor pair, which affected the GCF and factored expression.
Jill made an error when determining the GCF from her list of factors.
Jill made an error when writing the factored expression.
Answer:
the answer is the last choice
Answer:
d
Step-by-step explanation:
7 4/10 greater than 7.421
Answer:
False
Step-by-step explanation:
7 4/10= 7.4
7.4<7.421
Can any of the experts help me on my new question for math? PLEASE!!!
Answer:
yes I can
but wheres the question
why dont you type it in the comments
Which of these equations represents the graph below?
y = 2x + 3
y = 3x - 2
y = 3x + 2
y=2x - 3
kx^2+k=8x-2xk
Find the range of values of k- there are two distinct roots.
I’m pretty sure you need to use the discriminate but i’m stuck so pls could somebody show me step by step
Answer:
i cant understans the quedtoion its worng bro
Find the derivative of the function.
3
f(x) = 4x + 20x4
f'(x)=
Answer:
f'(x) = 4 + 80x³
General Formulas and Concepts:
Calculus
The definition of a derivative is the slope of the tangent line.
We can take the derivative/distribute it over addition and subtraction.
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define function
f(x) = 4x + 20x⁴
Step 2: Find 1st derivative
Basic Power Rule (1st term): f'(x) = 4 · 1x¹⁻¹ + 20x⁴Basic Power Rule (2nd term): f'(x) = 4 · 1x¹⁻¹ + 20 · 4x⁴⁻¹Simplify: f'(x) = 4 + 80x³When a polynomial f(x) is divided by 2x-3,the quotient is x^2-x+2 and the remainder is -1. Find the f(x)
Answer:
f(x) = 2x³ - 5x² + 7x - 7
Step-by-step explanation:
In the division statement: m ÷ n = q + [tex]\frac{r}{n}[/tex]
m is the dividendn is the divisorq is the quotientr is the remainderm = q × n + rLet us use the fact above to solve the question
∵ f(x) is divided by (2x - 3), the quotient is x² - x + 2 and the remainder is -1
∴ f(x) is the dividend ⇒ m
∴ (2x - 3) is the divisor ⇒ n
∴ (x² - x + 2) is the quotient ⇒ q
∴ -1 is the remainder ⇒ r
→ Use the rule above to find f(x)
∵ f(x) = (x² - x + 2) × (2x - 3) + -1
∴ f(x) = (x² - x + 2)(2x - 3) - 1
→ Multiply the 2 brackets at first
∵ (x² - x + 2)(2x - 3) = x²(2x) + x²(-3) + -x(2x) + -x(-3) + 2(2x) + 2(-3)
∴ (x² - x + 2)(2x - 3) = 2x³ - 3x² - 2x² + 3x + 4x - 6
→ Add the like terms
∴ (x² - x + 2)(2x - 3) = 2x³ + (-3x² - 2x²) + (3x + 4x) - 6
∴ (x² - x + 2)(2x - 3) = 2x³ + (-5x²) + 7x - 6
∴ (x² - x + 2)(2x - 3) = 2x³ - 5x² + 7x - 6
→ Substitute it in f(x)
∴ f(x) = 2x³ - 5x² + 7x - 6 - 1
→ Add the like term
∵ f(x) = 2x³ - 5x² + 7x + (- 6 - 1)
∴ f(x) = 2x³ - 5x² + 7x + (-7)
∴ f(x) = 2x³ - 5x² + 7x - 7
A recent telephone poll of 1000 randomly selected adults revealed that 2 in 10 adults believe there has been progress in finding a cure for cancer in the last 28 years. Describe the population, sample, population parameters, and sample statistics.
Answer:
Explained below.
Step-by-step explanation:
A population is the set of all the data that can be collected and from which a smaller set of data is drawn for further examination. A population may denote to a group of individuals, articles, trials or measurements. A population can thus be called as a collection of information regarding subjects combined together by a common characteristic.
In this case, the population consists of all people in the country.
A sample denotes a smaller, controllable form of a larger cluster. It is a subset comprising of the characteristics of a bigger population. Samples are used in statistical experiments when the population under consideration is too large for the test to include all the members.
In this case, the sample consists of 1000 randomly selected adults.
A parameter is a valuable element of statistical analysis. It denotes the characteristics that are used to define a given population. It is used to define a particular attribute of the population. For instance, population mean, population standard deviation, population proportion and so on.
In this case, the population parameter is the proportion of adults who believe there has been progress in finding a cure for cancer in the last 28years.
A statistic is the value of the characteristics that are computed using this sample. For instance, sample mean, sample standard deviation, sample proportion and so on.
In this case, the sample statistic is the 0.20 proportion of adults believe there has been progress in finding a cure for cancer in the last 28 years.
X intercept for -3x+10
Answer:
(10/3, 0)
Step-by-step explanation:
Dennis has made a purchase of $50,000
Really? On what? Man thats a lot of money.
solve...
16= k/11
help
Answer:
k = 176
Step-by-step explanation:
16 = [tex]\frac{k}{11}[/tex]
11 × 16 = [tex]\frac{k}{11} *11[/tex]
176 = k
Answer:
k = 176
Step-by-step explanation:
16 = k/11
16x11 = k/11 x 11
176 = k
Please help
What is 1. answer abc
What is 2. abcd
What is E and F
Also what is x
Help
Answer:
Step-by-step explanation:
1 × a = a
a² = a*a ; a³ = a*a*a .....
[tex](\frac{a}{b}) ^{n} = \frac{a^{n} }{b^{n} }[/tex]
(1).
(a). [tex]7^{5}[/tex]
(b). [tex](\frac{1}{7}) ^{6}[/tex] = [tex]\frac{1}{7^{6} }[/tex]
(c). [tex](9.3)^{9}[/tex]
(2).
(e). [tex](\frac{1}{2} )^{4} =\frac{1}{2^{4} }[/tex] = [tex]\frac{1}{2*2*2*2}[/tex] = [tex]\frac{1}{16}[/tex]
(f). [tex](\frac{1}{3} )^{2}[/tex] = [tex]\frac{1}{3}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{1}{9}[/tex]
(3).
x² = 30² + 16² = 900 + 256 = 1156 = 34² ⇒ x = 34 units
Factors of 9.52? Please help. Google won’t tell
Answer:
9.52 x 1
4.26 x 2
4 x 2.38
Hope that helps
Parábola donde su directriz eje x
Answer:
umm realmente no lo sé
Step-by-step explanation:
Solve the equation 3(x + 4.5) = 36.
If you get stuck, use the diagram. first one and with an explanation will get brainllest
Answer:
.75
Step-by-step explanation:
there is prof
Simplify 3r(4r-5s)+2r(-6r-9s)
Answer:
-33rs
Step-by-step explanation:
First, distribute in the first part of the equation.
3r(4r-5s)=12r-15rs
Now, distribute in the first part of the equation.
2r(-6r-9s)=-12r-18rs
Combine this together.
12r-15sr-12r-18rs
Combine like terms. (12r and -12r will cancel out to 0.)
-33rs
Hope this helps! Have a wonderful day ^^
Answer:
[tex]\boxed {-33rs}[/tex]
Step-by-step explanation:
Simplify the expression:
[tex]3r(4r - 5s) + 2r(-6r - 9s)[/tex]
-Use Distributive Property:
[tex]3r(4r - 5s) + 2r(-6r - 9s)[/tex]
[tex]12r^{2} - 15rs - 12r^{2} - 18rs[/tex]
-Combine both [tex]12r^{2}[/tex] and [tex]-12r^{2}[/tex]:
[tex]12r^{2} - 15rs - 12r^{2} - 18rs[/tex]
[tex]-15rs - 18rs[/tex]
-Then, combine both [tex]15rs[/tex] and [tex]18rs[/tex]:
[tex]-15rs - 18rs[/tex]
[tex]\boxed {-33rs}[/tex] (final answer)
Find the average rate of change of h(x) = - x ^ 2 + 3x + 3 from x = 2 to x = 6 .
Answer:
The average rate of change is
Δy ÷ Δx = -20 ÷ 4
Δy/Δx = -20/4
= -5
Step-by-step explanation:
Given the function
[tex]h\left(x\right)\:=\:-x^2\:+\:3x\:+\:3[/tex]
Putting x = 6
[tex]h\left(6\right)\:=\:-\left(6\right)^2\:+\:3\left(6\right)\:+\:3[/tex]
[tex]=-36+18+3[/tex]
[tex]=-15[/tex]
Putting x = 2
[tex]h\left(2\right)\:=\:-\left(2\right)^2\:+\:3\left(2\right)\:+\:3[/tex]
[tex]= -4 + 6 +3[/tex]
[tex]= 5[/tex]
The change in y from 2 to 6 is
Δy = -15 - 5
= -20
The interval from 2 to 6 has a width of
Δx = 6 - 2
= 4
Therefore, the average rate of change is
Δy ÷ Δx = -20 ÷ 4
Δy/Δx = -20/4
= -5
PLEASE HELP ME! THANK YOU !!
Doamin of the function
inf
Choose an equivalent expression for 10^6 divided by 10^4
10^2
10^3
10^10
10^24
Answer:
10^2
Step-by-step explanation:
When dividing by powers you subtract the exponent, so 6-4
Answer:
stuff and stuff
Step-by-step explanation:
Plz answer fast I’m on a timer !!!
Answer:
option b is your correct answer
hy if it help you then mark me brilliant
.............
An ice cream factory makes 310 quarts of ice cream in 5 hours. How many quarts can they make per hour?
What is the distance between these set of points?
(0,5) and (-3,0)
sorry i cant add the graph photo but please helppp
Step-by-step explanation:
applying the distance formula,
±√(0-5)^2 + (-3-0)^2 = ±√34 (rej -√34 since distance > 0)
Topic: coordinate geometry
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
22. Find the slope and Y intercept of the line 3x+4y-9=0
hi there! here's my answer for you...
Answer:
slope:
m = -3/4
y-intercept:
y = −3x/4 + 9/4
hope this helped. have a good one!
If 1 inch = 2.54 centimeters, how many inches are in 328 centimeters? Round to the nearest hundredth.
Answer:
2.54 cm in 1 inch......how many inches in 51.78 cm...
51.78 / 2.54 = 20.4 inches <==
or this way...
2.54 / 1 = 51.78 / x....2.54 cm to 1 in = 51.78 cm to x inches
cross multiply
(2.54)(x) = 51.78)(1)
2.54x = 51.78
x = 51.78 / 2.54
x = 20.4 inches <==
Step-by-step explanation:
Answer:
129.134 rounded will be 129.1
Step-by-step explanation:
HOPE THIS HELPS :)
