Answer:
See below.
Step-by-step explanation:
All statements of congruent angles and congruent segments are correct.
A similarity statement can be written ...
Write a similarity statement ...
ABCD ~ HJKL
The reason written in the problem is incorrect. The polygons are similar, not congruent, so you cannot state that they are congruent as a reason for them to be similar.
This is the correct reason:
"The reason as why the two shapes are similar is that each angle A, B, C, D is congruent to each corresponding angle H, J, K, L, respectively, and the lengths of corresponding sides are proportional."
"A similarity ratio is a ratio that compares the lengths of the corresponding sides of two similar polygons. The ratio is written in the same order as the two
polygons."
For the similarity ratio, we use two corresponding sides.
AB = 8; HJ = 12
AB/HJ = 8/12 = 2/3
The similarity ratio of ABCD to HJKL is 2/3.
Can somebody plz help!!
Answer:
A
Step-by-step explanation:
there are 4 columns and 1 drama so it equals 1/4
Simplify y ^2 over 6y^5.
Answer:
1/6y^3
Step-by-step explanation:
Answer:
1/6y^3
Step-by-step explanation:
cancel the common factor of y^2 and y^5
I really need help with this so plz give a good answer
If a man is driving at a rate of 80 km per hour, how many kilometers will he travel in 30 minutes? A. 30 km B. 40 km C. 60 km D. 240 km
i guss d is the answer of it
Nancy has worn a blue skirt on 8 of the last 20 days.
What is the probability that Nancy will wear a blue skirt tomorrow?
Shade the probability as a fraction of the circle.
HELP
Answer:
it's just 8/20 so shade 8/20 of the circle
The figure below is a square with dimensions given.
Part A: What is the perimeter of the square in terms of x?
2x - 1 in
Perimeter = ________
Part B: If the length of each side of the square is doubled, what would be the perimeter of this new square, in terms of x?
Perimeter = ________
Part C: If x = 5, what would be the ratio of the area of the original square to the area of the new square?
Answer: ____________________
Answer:
A: 8x-4
B: 16x-8
C: 1:2
Step-by-step explanation:
Which rule describes the translation?
O (x, y) = (x – 8, y - 3)
O (x, y) - (x - 3, y+8)
O (x, y) = (x + 8, y-3)
O (x, y) - (x + 3, y + 8)
Answer:
c
Step-by-step explanation:
translations assignment
Using the rational root theorem, identify all the possible rational roots of the equation x^4+25x^3-14x^2-19x+30
Answer: D on Edg
Step-by-step explanation:
Please solve -6+7x=50
Answer:
x = 8
Step-by-step explanation:
Let's solve your equation step-by-step.
−6+7x=50
Step 1: Simplify both sides of the equation.
7x−6=50
Step 2: Add 6 to both sides.
7x−6+6=50+6
7x=56
Step 3: Divide both sides by 7.
7x/7 = 56/7
x=8
have a wonderful day
if I use the bathroom 17 times then I use the bathroom 5 more times how many times have I gone to the bathroom
Answer:
22
Step-by-step explanation:
17+5
Answer:
you have a whiz problem LOL
Step-by-step explanation:
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 5.0 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 6 engines and the mean pressure was 5.4 pounds/square inch with a standard deviation of 0.7. A level of significance of 0.025 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
Answer:
Do no reject null hypothesis.
Conclusion:
there is no sufficient statistical evidence at 0.025 level of significance to support the claim.
Step-by-step explanation:
Given that;
mean x" = 5.4
standard deviation σ = 0.7
n = 6
Null hypothesis H₀ : μ = 5.0
Alternative hypothesis H₁ : μ > 5.0
∝ = 0.025
now,
t = ( 5.4 - 5.0) / ( 0.7/√6) = 0.4 / 0.2857 = 1.4
degree of freedom df = n-1 = 6 - 1 = 5
T critical = 2.571
Therefore; t < T critical,
Do no reject null hypothesis.
Conclusion:
there is no sufficient statistical evidence at 0.025 level of significance to support the claim.
What is the slope of the line that passes through the points
10, -8) and
(-8, -16)? Write your answer in simplest form.
Step-by-step explanation:
(10, -8) (-8, -16)
(-16+8)/(-8-10) = -8/-18= 4/9 is the slope
The number line graph below is the graph of which of the following
inequalities?
-2
B
-2 5x and 5 X
C
-2 sx or 5 x
D
-2 x or 5 SX
E
-2 2 x or 5 X
Step-by-step explanation:Graph inequalities or systems of inequalities with our free step-by-step math ... This system is composed of two number lines that are perpendicular at their zero points. ... You can usually find examples of these graphs in the financial section of a ... and below the line while all the points that will not are above and to the right.
3. The value of a painting rises from £120,000 to £192,000. Work out the percentage increase in the value of the painting. *
Answer:
The value of a painting rises from £120,000 to £192,000. Work out the percentage increase in the value of the painting. 72000.
Another virus starts spreading on July 1st, 2020. No one
was infected prior so there is no constant. But it does spread at a rate of 11
people per day
Write an equation to solve for the number of days it would take to reach 1,000 cases
How many days will it take to reach 1000 cases?
On what date will Gotham City reach 1000 cases?
THE PICTURE SHOWS ABOUT THE FIRST VIRUS
Answer:
1000÷11=90.9
So,29th September
write 56
as the product of prime factors
[tex]56 = 28 \times 2 \\ 56 = (14 \times 2) \times 2 \\ 56 = (7 \times 2) \times 2 \times 2[/tex]
(05.05 LC)
If you were to use the substitution method to solve the following system, choose the new
equation after the expression equivalent to x from the second equation is substituted into
the first equation. (5 points)
3x + 2y = -21
x-3y=4
3(3y + 4) + 2y = -21
O 31-3y + 4) + 2y = -21
3x + 2(3y + 4) = -21
3x + 21-3y + 4) = -21
Yes it is yep correct 1000% 10000000000000%
Write an equation for the description.
A number x increased by 17 is 112.
Answer:
x+17 = 112
Step-by-step explanation:
Vocabulary:
Increased = Addition
Is = Equal Sign
x+17 = 112
witch expression represents a number 5 times the difference of 6 and 2
Answer:
i think it is 20
Step-by-step explanation:
6-2=4
4×5=20
1. What is the 15th partial sum of the geometric sequence (262,144; 32,768; 4,096; 512; ...)? Round to the nearest whole number, if needed.
Answer:
[tex]S_{15} = 299593[/tex]
Step-by-step explanation:
Given
[tex]262144,\ 32768,\ 4096,\ 512; ...[/tex]
Required
Determine the 15th partial sum
The nth partial sum of a geometric series is:
[tex]S_n = a* \frac{1 - r^n}{1 - r}[/tex]
In this case:
[tex]a = 262144[/tex]
[tex]n = 15[/tex]
r is calculated as:
[tex]r = \frac{32768}{262144}[/tex]
[tex]r = 0.125[/tex]
Substitute values for a, r and n in [tex]S_n = a* \frac{1 - r^n}{1 - r}[/tex]
[tex]S_{15} = 262144* \frac{1 - 0.125^{15}}{1 - 0.125}[/tex]
[tex]S_{15} = 262144* \frac{1}{0.875}[/tex]
[tex]S_{15} = \frac{262144* 1}{0.875}[/tex]
[tex]S_{15} = \frac{262144}{0.875}[/tex]
[tex]S_{15} = 299593.142857[/tex]
[tex]S_{15} = 299593[/tex] -- approximated
Write an equation in slope-intercept form for the table.
Answer:
y=4x+3
Step-by-step explanation:
y=mx+c where m is the slope and c is the intercept.
To find m, get two points and plug them into the formula (y2-y1)/(x2-x1):
(0,3) and (2,11)
m=(11-3)/(2-0)
=8/2
=4
y=4x+c
To find c, plug in one of the points, eg. (3,15)
15=4(3)+c
15=12+c
c=3
y=4x+3
The two trapezoids below are similar. What is the length of EF
Answer:
answer is 6
Step-by-step explanation:
i know answer is 2 weeks late
A man borrowed $3500 from a bank for 6 months. The bank collected 7-1/2% simple interest on the date of maturity. How much did the man pay for use of the money and what was the amount he repaid the bank on the due date of the note
Answer:
$3762.50
Step-by-step explanation:
From the problem, we can see our initial loan is 3500. On the return date, the interest of the loan is collected 7.5%. To find out how much the man paid for the loan, we need to find out how much he paid in interest, which is the percentage of the interest converted to a decimal x the initial loan. We get $262.5, and then we need to pay back the interest plus the initial loan we borrowed from the bank, so we need to add those together to get:
$3762.50
Can I get some help on this
Answer:
the first one, 2.5x
Step-by-step explanation:
Hope this helps!
HELP! Below is the graph of a polynomial. Which statement about this graph is true?
A. The point (-2,1) is a maximum
B. The point (5,0) is an extreme
C. The point (2,-1.12) is a minimum
D. The point (2,-1.12) is a maximum
Keith buys 6 pencils for 90p how much would 11 pencils cost
Answer:
keith buy 11 pencils at the cost of 165 paise
Step-by-step explanation:
6 pencils cost = 90 paise
so 1 pencil cost = 15 paise
A circle has a diameter of
18
m. Find the area of the sector
whose central angle is 135°
Answer:
[tex]\boxed {\boxed {\sf \frac{ 243}{8} \pi , 95.3775, or \ 95.42587686 \ m^2 }}[/tex]
Step-by-step explanation:
When given the central angle in degrees, the formula for sector area is:
[tex]A=\frac{ \theta}{360} * \pi r^2[/tex]
where θ is the central angle and r is the radius.
We are given the diameter, so we must calculate the radius. The radius is half the diameter.
r= d/2The diameter is 18 meters.
r= 18 m/2 r= 9 mNow we know all the variables:
θ=135 r= 9 mSubstitute the values into the formula.
[tex]A=\frac{ 135}{360} * \pi (9)^2[/tex]
Solve the exponent first.
(9)²= 9 m *9 m= 81 m²[tex]A=\frac{ 135}{360} * (81 \ m^2) \pi[/tex]
Solve the fraction.
[tex]A=\frac{ 3}{8} * (81 \ m^2) \pi[/tex]
Multiply the two rational numbers.
[tex]A=\frac{243}{8} \pi \ m^2[/tex]
The answer can be left like this, in terms of pi, or can be multiplied.
Using 3.14 as pi[tex]A=\frac{243}{8} *3.14 \ m^2[/tex]
[tex]A= 95.3775 \ m^2[/tex]
Using the pi button as pi[tex]A= 95.42587685 \ m^2[/tex]
The area is 243/8 π, 95.3775, or 95.42587685 square meters.
Factor the trinomial. Factor out the GCF first.
11x^2 + 33x + 22
Step-by-step explanation:
11x² + 33x + 22
= 11(x² + 3x + 2)
= 11(x + 1)(x + 2).
2/4 < ?/6
I dont get it.
Answer:
4
Step-by-step explanation:
This is wanting you to put a numerator that will make this fraction bigger then 2/4.
2/4 is greater then 1/6, so that won't work
2/4 is greater then 2/6, so that won't work either
2/4 is equal to 3/6 because they reduce to 1/2, so it won't work
2/4 is less then 4/6, this will work
any number bigger then 3 can be put in the ? spot
A mathematical phrase represented by numbers, variables, and operations is a(n)
pls help:)
Answer:
Expression
Step-by-step explanation:
Answer: Expression
Got this right!!!
Hope this helps!!!