Answers
Answer:
∠C and ∠F are right angles
Step-by-step explanation:
To prove that two triangles are congruent using HL, one must have:
a right angle congruent,a leg congruent, and the hypotenuse (the side across from the right angle) congruent.For this problem, there are two sides of the triangle already congruent: one could be the hypotenuse (if the right angle were across from it), and the other congruent side could be a leg. So, if we can prove either that angles C & F are right angles, or that angles A & D are right angles, that would be enough to use HL congruence.
Hence, from the answer choices provided, proving that angle C and angle F are both right angles would be sufficient to prove the triangles are congruent via HL congruence.
Side note: Proving angles B and E would not be enough to use HL congruence, because the hypotenuse is always across from the right angle. So, if angle B were a right angle, it would mean that side AC was the hypotenuse (which hadn't yet been proven or stated to be congruent).
While not enough to prove triangle congruence via HL, if angle B and E were congruent at all (right angles or not), it would be enough to prove that the triangles were congruent by SAS (side-angle-side) because it would have proven that two sides and the included angle were congruent.
Related Questions
If the measure of angle 4 is 130° what is the measure of angle 7
Answers
4 and 8 will equal the same since they are corresponding angles
So since 8 and 7 make a line they equal 180
180= 132+"7
Subtract both sides by 132
48=angle 7.
PLS MARK ME AS BRAINLIEST.
Select the correct answer.
Which equation is equivalent to the formula below?
y = a (x − h)² + k
PADED
HODIN BARISTLE
DEKKING
y k
-
OA G = (1²=51²
(I h)²
-
OB.
h = x = ( ² = ²)²
a
O C.
* = ± √/² = ²
X
OD. k = y + (x - h)²
- h
-
Answers
Answer:
a.
Step-by-step explanation:
a= y-k/ (x-h)^2
Make me a brain list
One week Grace spent 16% of her
weekly wage on a new bookshelf
that cost $184. What is her weekly
wage?
Answers
Answer:
$1150 will be the weekly wage
Step-by-step explanation:
184 = 16%*x
184 = 0.16*x
184/0.16 = x
x = $1150
Here, "x" is her weekly wage.
Jesse had $80 in his checking account. A month
later, his checking account balance was -30. Which
expression represents the difference between the
two checking account balances?
Answers
Answer:
80 - 30
Step-by-step explanation:
I'm just guessing
Find the sum of the first ten prime numbers. Find the sum of the first ten prime numbers .
Answers
The sum of the first ten prime numbers is 129.
What is a prime number?The prime numbers are those numbers that have only one factor namely 1 and the number itself.
The first 10 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29.
Their sum is
2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29
= 129
Hence, the sum of the first ten prime numbers is 129.
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An adult female elephant weighs about 8000 pounds. a newborn baby elephant weighs about 200 pounds. write the ratio of the baby elephants weight to the adult female elephants weight as a fraction in simplest terms and as a decimal
Answers
See the attached image for the explanation.
Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.
Answer:
1/40 or 0.025
Step-by-step explanation:
the weight of baby el is 200
the weight of mama el is 8000
take 200/8000 and simplify.
if you divide the top by 200 then divide the bottom by 200
200 divided by 200 is 1
8000 divided by 200 is 40
so the simplest fraction is 1/40
if you type this in to a calculator, you will find that it equals 0.025
Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.
The cube of the sum of a number and 3.
Answers
Answer:
(x+3)^3 exponent is 3
i need help please and thank you
Answers
Answer: The last, bottom, or 4th option.
Step-by-step explanation:
See attached.
By looking through the details of the information given, we can narrow down the correct answer to option 4.
Tan0=
A)1/cos
B) 1+sec^2 0
C) 1- cot^2 0
Answers
The measure of major arc TBU is.
46°
U
T
degrees.
B
?
Answers
Answer:
arc TBU = 268°
Step-by-step explanation:
the measure of the tangent- chord angle TUV is half the measure of its intercepted arc UT , then
UT = 2 × 46° = 92°
the sum of the arcs in a circle = 360° , that is
TBU + UT = 360°
TBU + 92° = 360° ( subtract 92° from both sides )
TBU = 268°
What transformation of the parent function f(x) is made to get −f(x−2)−3?
Answers
Answer:
reflection over the x-axistranslate right 2 unitstranslate down 3 unitsStep-by-step explanation:
Horizontal translation of the graph of a function is accomplished by replacing x with (x-h) for translation h units to the right. Vertical translation of the graph is accomplished by adding the amount of translation to the function value: f(x)+k translates the graph k units upward.
Reflection of a function over the x-axis is accomplished by changing the sign of every function value: -f(x).
ApplicationWe observe that f(x) has been transformed by ...
multiplying by -1 to get -f(x)replacing x with (x -2) to get -f(x -2)adding -3 to the function value to get -f(x -2) -3The effect of these transformations is (correspondingly) ...
reflection over the x-axistranslate right 2 unitstranslate down 3 units__
The attached graph shows a function f(x) (red) and the transformed function (blue).
Fewer births and increased survival rates are changing the shape of the population from a pyramid to a(n):
Answers
Fewer births and increased survival rates are changing the shape of the population from a pyramid to a(n): Rectangle
It is given that fewer births and increased survival rates are changing the shape of the population from a pyramid.
Survival rates is the percentage of people in a study or treatment group who are still alive for a certain period of time after they were diagnosed with or started treatment for a disease, such as cancer.
A population pyramid is a way to visualize two variables: age and sex. They are used by demographers, who study populations. A population pyramid is a graph that shows the distribution of ages across a population divided down the center between male and female members of the population.
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The name brand of a certain chain of coffee shop has a 57% recognition rate in the town of Coffleton. An executive from the company wants to verify the recognition rate as the company in interested in opening a coffee shop in town. He selects a random sample of 10 residents. a. Identify X, n, p, and q. b. Use the formula to find the probability that the number of residents that recognize the brand is not 4. c. Find the probability that at least 7 people will recognize the brand. d. Use normal distribution to estimate the probability that at most 5 people will recognize the coffee shop bran
Answers
The probability that the number of residents that recognize the brand is not 4 is 0.86 , the probability that at least 7 people will recognize the brand is 0.29 and the probability that at most 5 people will recognize the coffee shop is 0.39.
Given Recognition rate of brand in town of Coffleton is 57% and sample size is 10.
We have to use binomial distribution:
P(X=x)=[tex]C_{n,x} p^{x} (1-p)^{n-x}[/tex]
[tex]C_{n,x} =C!/r!(C-r)![/tex]
A) The parameters are as under:
x is the number of successes.
n is the number of trials which is 10 in this question.
p is the probability.
In this problem :
The brand name of a certain chain of coffee shops has 57% recognition rate in the town of coffleton , hence p=0.53.
There is a sample of 10 residents, n=10.
Probability that the no. of people that recognize the brand name is not 4 is as under:
P(X≠4)=1-P(X=4)
P(X=4)=[tex]C_{10,4}(0.53)^{4} (0.43)^{6}[/tex]
=0.1395
P(X≠4)=1-0.1395
=0.8605
B) P(X>=7)=[tex]C_{10,7} (0.57)^{7} (0.43)^{3} +C_{10,8} (0.57)^{8} (0.43)^{2} +C_{10,9} (0.57)^{9} (0.43)^{1} +C_{10,10} (0.57)^{10} (0.43)^{0}[/tex]
=0.18012+0.081+0.0258+0.0036
=0.29
C)P(X<=5)=[tex]C_{10,1} (0.57)^{1} (0.43)^{9} +C_{10,2} (0.57)^{2} (0.43)^{8} +C_{10,3} (0.57)^{3} (0.43)^{7} +C_{10,4} (0.57)^{4} (0.43)^{6} +C_{10,5} (0.57)^{5} (0.43)^{5}[/tex]
=0.00285+0.0146205+0.0432+0.126+0.21168
=0.3983.
Hence the probability that the number of residents that recognize the brand is not 4 is 0.86 , the probability that at least 7 people will recognize the brand is 0.29 and the probability that at most 5 people will recognize the coffee shop is 0.39.
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the nth term of another sequence is given by an bn 2 + the third term is 9 and the sixth term is 126. find the value of a and the value of b
Answers
The values of a and b of the given sequence are; a = 6 and b = -15
How to find the Nth Term of a Sequence?
We are given the formula for nth term of a sequence as;
an² + bn
We are given that;
Third term = 9
Sixth term = 126
Thus;
a₃ = 9 = a(3)² + b(3)
9a + 3b = 9 ------(1)
Similarly for the 6th term;
a(6)² + b(6) = 126
36a + 6b = 126 ------(2)
Multiply eq 1 by 2 to get;
18a + 6b = 18 ------(3)
Subtract eq 3 from eq 2 to get;
18a = 108
a = 6
18(6) + 6b = 18
6b = 18 - 108
6b = -90
b = -90/6
b = -15
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One day on Sesame Street, a friendly rabbit brought big bird a tube of toothpaste that contained one gallon of toothpaste. If a regular toothpaste cost $1.39 for 2.7 ounce tube what is the value of the sesame steeet tube to the nearest cent?
Answers
The sesame street tube bought by the blue bird costs $177.92 which contained one gallon of toothpaste.
Given,
cost of regular toothpaste = $1.39 for 2.7 ounce tube
But the bird took a tube of toothpaste that contained one gallon of toothpaste.
One gallon = 128 ounces
∴the total price at which the toothpaste is brought = price of normal toothpaste × one gallon(128 ounces)
= 1.39 × 128
=$177.92
Here we can observe that a gallon contains 128 ounces. so we need to multiply to the initial cost of the toothpaste to get the final amount of the toothpaste bought by the bird.
Hence the price at which the bird bought the toothpaste is $177.92
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tan 45°. tan² 30° tan 60°
slove it
Answers
Answer:
[tex]\frac{\sqrt{3} }{3} or \frac{1}{\sqrt{3} }[/tex]
Step-by-step explanation:
We can break the problem into three parts,
tan45 = sin(45)/cos(45)=[tex]\frac{\frac{\sqrt{2}}{2} }{\frac{\sqrt{2}}{2} } =1[/tex]
[tex]tan^{2}30 =(tan30))^{2}=(sin30/cos30)^2=((1/2)/(\sqrt{3}/2))^2 =(1/\sqrt{3})^2[/tex]
[tex]tan60=sin60/cos60=\frac{\sqrt{3}/2 }{1/2} =\sqrt{3}[/tex]
Then, [tex]tan45*tan^230*tan60=1*(1/sqrt(3))^2*sqrt(3)=1/sqrt(3)=sqrt(3)/3[/tex]
Therefore, the solution is sqrt(3)/3
Hi I need help with this question
2 1/7+3/7(3x-5)=-4
Answers
An equation is formed of two equal expressions. The value of x is -28/9.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The given expression can be simplified as,
[tex]2 \frac17+\dfrac37(3x-5)=-4\\\\\dfrac{15}{7} + \dfrac{9x-15}{7} = -4\\\\ \dfrac{15+9x-15}{7} = -4\\\\9x = -28\\\\x = \dfrac{-28}{9}[/tex]
Hence, the value of x is -28/9.
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The students at Midtown Middle school sold flowers as a fundraiser in September and
October. In
October, they charged $1.50 for each flower. The October price was a 20%
increase of the September price.
Part A
What was the price of the flowers
in September?
Enter your answer in the box.
L.25
Part B
The seventh-grade class earned 40% of the selling price of each flower.
In September, they sold 900 flowers.
In October, they sold 700 flowers.
Select a choice from each drop-down menu to make a true statement.
The seventh-grade class earned more money in September
by Choose one.
Help with part b pls
Answers
The price of flowers in September exists $1.25.
Total money released in October = $420.
The class gained more money in September and they gained $30 better than in October.
How to estimate the price of the flowers in September or October?Part A
Let the cost of flowers in September be x, then
(100 + 20)/100 [tex]*[/tex] x = $1.50
120/100 [tex]*[/tex] x = $1.50
1.2x = $1.50
x = $1.50/1.2 = $1.25
The price of flowers in September exists $1.25
Part B
Total money released in September = $1.25 [tex]*[/tex] 900 = $1,125
40% earned = 0.4 [tex]*[/tex] $1,125 = $450
Total money released in October = $1.50 [tex]*[/tex] 700 = $1,050
40% earned = 0.4 [tex]*[/tex] $1,050 = $420
The class gained more money in September and they gained $30 better than in October.
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Given: ABCD is a parallelogram.
Prove:
Answers
Answer:
ABCD is a parallelogram/Given
Line AB is parallel to line DC/Opposite sides of a parallelogram are equal
Line FD is congruent to Line FD/Reflexive property
Line BE is congruent to line BE/Reflexive property
Line AC is congruent to Line AC/Reflexive Property
Angle A is congruent to Angle BCD by Alternate Interior Angle Theorem
Angle BCD is congruent to Angle FCE by Vertical Angles Theorem
Angle A is congruent to Angle BCD by Transitive Property
Jose bought 750 bags of peanuts for $375.00.he intends to sell each bag for $0.15 more than he paid. How much should he charge for each bag?
Answers
Jose should charge $0.65 for each bag if he intends to sell the bag for $0.15 more than he paid.
How do we solve word problems?Mathematical problems dealing with word problems can be solved by arranging data given into variables and using the appropriate arithmetic operation to solve them.
From the given information:
If Jose bought a 750 bag of peanuts for $375.00. It means that he bought each bag(1 bag) for:
[tex]\mathbf{=\$\dfrac{375}{750}}[/tex]
= $0.5
However, he intends to sell each bag for $0.15 more than he paid; Then the amount he should charge for each bag is:
=$0.5 + $0.15
=$0.65
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A painting measures b meters by 4 meters. a frame shop charges $10 per meter for a wooden frame. how much would it cost to buy a frame for the panting?
Answers
$ (20b + 80) is the cost to buy a frame for the panting given that measures b meters by 4 meters and charges $10 per meter for a wooden frame. This can be obtained by finding the perimeter of the painting and multiplying with the cost of wood per meter.
What is the cost of buying a frame for the painting?
Given that,
length of the painting (l) = b meters
width of the painting (b) = 4 meters
Perimeter of the painting = 2(l+b)
= 2(b+4)
= 2b + 8
Cost of the frame = (2b + 8)× $10 per meter
= $ (20b + 80)
Hence $ (20b + 80) is the cost to buy a frame for the panting given that measures b meters by 4 meters and charges $10 per meter for a wooden frame.
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How many distinct pairs of positive consecutive integers have a product less than 10,000?
Please explain it step-by-step
Answers
Step-by-step explanation:
Let the consecutive positive integer be x , x+1
now, we know that there product is less then 10000
so, x(x+1) = 10000
x² + x - 10000 = 0
On solving the quadractic equation,
we get the roots = (-100.50124999219 ), (99.501249992188)
since we are asked for less then 10000 we can approximate the answer to x = 99.5
Answer:
99.5
Step-by-step explanation:
Let the consecutive positive integer be n , n+1
now, we know that there product is less then 10000
so, n(n+1) = 10000
So, the question asked " Less than 10,000 " so, we get the roots = (-100.50124999219 ), (99.501249992188)
n² + n - 10000 = 0
Let's solve this equation together!
n approximate number is 99.5.
Area=
What is the area? Help me please. Thanks
Answers
The area of the square LMNP is 50 square units
How to determine the area of the square?The circumference of the circle is given as:
C = 10π
Circumference is calculated as:
C = 2πr
So, we have:
2πr = 10π
Divide by 2π
r = 5
This represents the length OM
The length PM is calculated as:
PM = 2 * OM
This gives
PM = 2 * 5
PM = 10
The length (PN) of the square is then calculated as:
PM = PN√2
This gives
10 = PN√2
Square both sides
100 = PN^2 * 2
Divide by 2
50 = PN^2
Rewrite as:
PN^2 = 50
Hence, the area of the square LMNP is 50 square units
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Given: ABCD is a parallelogram.
Prove:
Answers
Answer:
in a quadrilateral, each pair of opposite angles is equal, then it is a parallelogram. Given : ABCD is a quadrilateral in which ∠A = ∠C and ∠B = ∠D . We know that the sum of the angles of a quadrilateral is 360o. Hence, ABCD is a parallelogram.
Find the length of the segment indicated. Round to the nearest tenth if necessary.
Answers
Answer:
3
Step-by-step explanation:
Solve for x HELP PLEASE!!!!!!!!
Answers
Answer:
5
Step-by-step explanation:
28 - 12 = 16
28 / 35 = 16 / 4x
28 = 4 * 7
35 = 5 * 7
16 = 4 * 4
4x = 4 * x
( 4 * 7 ) / ( 5 * 7 ) = ( 4 * 4 ) / ( 4 * x )
( 4 / 5 ) = ( 4 / x )
Cross multiply,
4 * x = 5 * 4
Divide 4 on both sides,
x = 5
i don't really get this the one on the bottom but you use the top to solve
Answers
The percentages for each acid are:
0% acid ⇒ percentage disolved = 0%33% acid ⇒ percentage disolved = 1%66% acid ⇒ percentage disolved = 2%100% acid ⇒ percentage disolved = 4.2%How to get the percentages?
Here we just need to use the given formula:
[tex]percent\ disolved = \frac{initial\ mass - \ final \ mass}{initial \ mass}*100 \%[/tex]
For the 0% acid, the initial and final mass are the same:
initial mass = final mass = 10.3g
Then the percent dissolved is:
[tex]percent\ disolved = \frac{10.3g - 10.3g}{10.3g}*100 \% = 0 \%[/tex]
For the 33% acid we have:
initial mass = 10.1gfinal mass = 10gThen:
[tex]percent\ disolved = \frac{10.1g - 10g}{10.1g}*100 \% = 1 \%[/tex]
For the 66% acid:
initial mass = 10gfinal mass = 9.8g[tex]percent\ disolved = \frac{10g - 9.8g}{10g}*100 \% = 2 \%[/tex]
for the 100% acid:
initial mass = 9.9gfinal mass = 9.5g[tex]percent\ disolved = \frac{9.9g - 9.5g}{9.9g}*100 \% = 4.2 \%[/tex]
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Use the Venn diagram shown.
A Venn diagram with overlapping circles A and B. Circle A includes the elements 1, 3, 7, 8, and 11. Circle B includes elements 2, 3, 6, 7, and 12. The area outside the circles is labeled Q, which contains elements 9 and 17.
What are the elements of (A ∩ B)?
{1, 2, 3, 6, 7, 8, 11, 12}
{1, 2, 6, 8, 11, 12}
{9, 17}
{3, 7}
Answers
Since intersection means the element in set A that are also in set B, hence (A ∩ B) = {3, 7}
Unions and Intersection of SetsSets are arrangements of elements in a specific order. Given the following sets.
A = {1, 3, 7, 8, 11}
B = {2, 3, 6, 7, 12}
Determine the intersection of A and B
Since intersection means the element in set A that are also in set B, hence;
(A ∩ B) = {3, 7}
Hence the elements of (A ∩ B) is {3, 7}
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Answer:
D) (3,7)
Step-by-step explanation:
P(AnB) mean intersection, which is (3,7)
P(AUB) mean Union
However. if the question was asking this "What are the elements of P(AUB) then the answer would be A) {1, 2, 3, 6, 7, 8, 11, 12}.
But the question was asking for P(AnB) which is D) (3,7)
AVERE
Given: P(0, -13) and 7(15,-7)
What is the slope of PT?
Answers
Answer:
2/5
Step-by-step explanation:
To find the slope of a line segment, find the difference in y and divide by the difference in x (delta y / delta x)
Delta y: -7 - (-13) = 6
Delta x: 15 - 0 = 15
Slope = delta y / delta x
Slope = 6/15 = 2/5
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Pete is ahead of nick by 11 meters. Oliver is ahead of manny by 10 meters. Oliver is ahead of pete by 5 meters. How far is the runner in first place ahead of the runner
Answers
Answer:
The runner in first place is 16 meters ahead of the runner in last place
Step-by-step explanation:
There are 4 boys racing - Pete, Nick, Manny, and Oliver.
Pete is 11 meters ahead of Nick, Oliver is 10 meters ahead of Manny, and Oliver is ahead of Pete by 5 meters.
This means Oliver is ahead of the other three racers, putting him in first place, and Manny is between Nick and Pete.
So in order to find out the distance between the racer in first place (Oliver) and the racer in last place (Nick), add the distance between Oliver and Pete and the distance between Pete and Nick.
Add the distances: 5 + 11
Therefore, the runner in first place (Oliver) is 16 meters ahead of the runner in last place (Nick).