Can someone help me on this pls? It’s urgent, so ASAP (it’s geometry)
Write formal proofs using HL Theorem.
Answers
Question 2
1) [tex]\overline{PR} \perp \overline{QS}[/tex], [tex]\overline{PQ} \cong \overline{PS}[/tex] (given)
2) [tex]\overline{PR} \cong \overline{PR}[/tex] (reflexive property)
3) [tex]\angle PRQ[/tex] and [tex]\angle PRS[/tex] are right angles (perpendicular lines form right angles)
4) [tex]\triangle PRQ[/tex] and [tex]\triangle PRS[/tex] are right triangles (a triangle with a right angle is a right triangle)
5) [tex]\triangle PRQ \cong \triangle PRS[/tex] (HL)
Question 3
1) [tex]\angle C[/tex] is a right angle, [tex]\overline{AC} \cong \overline{AE}[/tex], [tex]\overline{DE} \perp \overline{AB}[/tex] (given)
2) [tex]\angle DEA[/tex] is a right angle (perpendicular lines form right angles)
3) [tex]\triangle ACD[/tex] and [tex]\triangle DAE[/tex] are right triangles (a triangle with a right triangle is a right angle)
4) [tex]\overline{AD} \cong \overline{AD}[/tex] (reflexive property)
5) [tex]\triangle ACD \cong \triangle AED[/tex] (HL)
6) [tex]\angle CAD \cong \angle DAE[/tex] (CPCTC)
7) [tex]\overline{AD}[/tex] bisects [tex]\angle BAC[/tex] (if a segment splits an angle into two congruent parts, it is an angle bisector)
Related Questions
dos numeros sumados dan como resultado 5 y el doble de uno mas el doble del otro da como resultado 15 ¿cuales son esos numeros?
Answers
Answer:
Sean dos números A y B.
Sabemos que la suma de estos dos números es igual a 5, entonces:
A + B = 5
Y sabemos que el doble de uno mas el doble del otro da como resultado 15.
entonces:
2*(A + 2*B) = 15
esta es la única forma de interpretar esta ecuación, si en lugar de esta expresión tuviéramos 2*A + 2*B = 15 (pues tambien se puede interpretar como esto), entonces:
tenemos dos ecuaciones:
A + B = 5
2*A + 2*B = 15
Ahora, si sacamos el 2 como factor común en la segunda ecuación tenemos:
2*(A + B) = 15
si dividimos ambas partes por 2:
(A + B) = 15/2 = 7.5
(A + B) = 7.5
Esto se contradice con la primer ecuación:
(A + B) = 5.
Entonces podemos concluir que dichos números no existen.
Dejando esto de lado, nuestras ecuaciones van a ser:
A + B = 5
2*(A + 2*B) = 15
Para resolver esto, el primer paso es aislar una de las variables en una de las ecuaciones, yo voy a aislar A en la primera:
A = 5 - B
Ahora podemos reemplazar esto en la otra ecuación:
2*(5 - B + 2*B) = 15
2*(5 + B) = 15
10 + 2*B = 15
2*B = 15 - 10 = 5
B = 5/2 = 2.5
Y con la primer ecuación:
A + B = 5
reemplazamos el valor de B:
A + 2.5 = 5
A = 5 - 2.5 = 2.5
Ambos números son 2.5.
The distance traveled at a constant speed is directly proportional to
the time spent traveling. If Lynnell traveled 70 miles in 3.5 hours, how
many miles will Lynnell travel in 4 hours at the same constant speed?
Answers
Answer:
80 mi.
Step-by-step explanation:
There are a couple ways to solve this problem. I will show you one. First, let's find the rate of travel.
D = RT
70 = 3.5R
R = 70/3.5 = 20
Using that speed, we now get
D = 20(4) = 80 mi.
What is s??
A 44°
B 35.3°
C. 37.9°
D. 22°
Answers
Answer: Choice B) 35.3 degrees
======================================================
Work Shown:
Apply the law of sines
sin(S)/s = sin(R)/r
sin(S)/16 = sin(120)/24
sin(S) = 16*sin(120)/24
sin(S) = 0.57735026918962
S = arcsin(0.57735026918962)
S = 35.2643896827542
S = 35.3
Make sure your calculator is in degree mode.
Vera claimed the solution set on the number line represents the inequality Negative 78.9999 greater-than-or-equal-to x.
A number line going from negative 83 to negative 77. A closed circle is at negative 79. Everything to the left of the circle is shaded.
Which error did Vera make?
Vera wrote the inequality with the variable on the left side of the relation symbol.
Vera wrote a relation symbol that does not represent the direction of the ray.
Vera selected an inequality that does not include –79 in its solution set.
Vera used the wrong number in her inequality.
Answers
Answer:
Step-by-step explanation:
Vera used the wrong number in her inequality.
Please note this question was very confusing for me.
Answer:
D
Step-by-step explanation:
The person above me is right, but if you wanted to know the letter, it's D
:D
A submarine travels 12 km due West from its base and then turns and travels due South for 14.8 km. How far away is the submarine from its base? .
Answers
Answer:
the submarine travels 26.8 km. from its base
Answer:
The answer is 19.1
Step-by-step explanation:
[tex]z = \sqrt{ {x}^{2} + {y}^{2} } = \sqrt{ {12}^{2} + {14.8}^{2} } = 19.1[/tex]
Albert mixes 10 grams of 15% sugar syrup and 25 grams of 10% sugar syrup. C What is the concentration of sugar in the mixture? D If Albert adds x grams of pure sugar to his mixture, how many grams of sugar will the mixture contain now? E After Albert adds the x grams of sugar, how many grams of mixture does Albert have? F Suppose we know that after he adds the x grams of sugar, Albert's mixture is 25% sugar syrup. Write an equation. G Solve the equation from part (f) to find how many grams of pure sugar Albert needs to add to achieve 25% concentration. A How many grams of sugar does the mixture contain? B How many grams of mixture does Albert have now?
Answers
Answer: 14a is 4 grams 14 b is 35 grams
Step-by-step explanation:
12.- En una fábrica 15 obreras cubren un pedido de faldas en nueve dias de
trabajo, ¿cuántas obreras más tendrán que contratarse para que el pedido sea
entregado en tres días?
A) 5
B) 15
C) 25
D) 30
Answers
Answer:
I speak englush
Step-by-step explanation:
I speak English
I slept the correct operator for the following exponential expression*
Answers
Answer:
b is the answer(>)
Step-by-step explanation:
hope this helps
I did this myself, but I kept getting negative numbers can someone else try and do this and see what you get
Answers
Answer:
6
Step-by-step explanation:
Answer:
67
Step-by-step explanation:
4x = 2x + 12
4x - 2x = 2x - 2x + 12
2x = 12
2x ÷ 2 = 12 ÷ 2
X = 6
Plug into HI
9 × 6 + 13 = 67
n the diagram, the measure of angle 9 is 85°.
4 lines intersect to form 16 angles. The angles created, clockwise from top left are 1, 2, 3, 4; 5, 6, 7, 8; 9, 10, 11, 12; 13, 14, 15, 16.
Which angle must also measure 85°?
Angle2
Angle5
Angle11
Angle12
Answers
Answer:
The real answer is angle 5
Step-by-step explanation:
The angle 11 must measure the angle 85. The correct option is C.
What are lines and angles?An infinitely long row of evenly spaced dots that extends in both directions makes up a line. Its length is the only dimension it has. An illustration of a line is a horizontal mark made on a piece of paper. A figure made by two rays that intersect at the same endpoint is referred to as an angle.
Given that in the diagram, the measure of angle 9 is 85°. 4 lines intersect to form 16 angles. The angles created, clockwise from the top left are 1, 2, 3, 4; 5, 6, 7, 8; 9, 10, 11, 12; 13, 14, 15, 16.
The measure of angle 9 is equal to the measure of angle 11. it means that angle 9 and angle 11 are equal to 85 degrees. The image is attached with the answer below. Shows the angle 9 and angle 11 are vertically opposite angles.
To know more about lines and angles follow
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please help! I will give brainlist
Answers
Answer:
A= Yes, it's the equation
B= it's what the problem equals
Step-by-step explanation:
I think this is right I'm not to sure but I think it is
hope this helps :)
Step-by-step explanation:
the process shown in the picture.
Which value is in the domain of f(x)?
(+5
2x + 5, -6 < X 0
f(x) =
-2x + 3,0 < x < 4
) -7
0 -6
4
05
Answers
Answer:
it's 4 on edge
Step-by-step explanation:
I got it right
The value is in the domain of f(x) is 4, the correct option is C.
What is the domain and range of the function?
The domain of a function is defined as the set of all the possible input values that are valid for the given function.
The range of a function is defined as the set of all the possible output values that are valid for the given function.
We are given that;
f(x) =-2x + 3,0 < x < 4
Now,
The domain of a function is the set of all possible input values for which the function is defined. In this case, the function f(x) is defined by two different expressions depending on the value of x. The first expression, 2x + 5, applies when -6 < x < 0. The second expression, -2x + 3, applies when 0 < x < 4. Therefore, the domain of f(x) is the union of these two intervals:
Domain of f(x) = (-6, 0) U (0, 4)
Therefore, by the domain the answer will be 4.
Learn more about the domain and range of the function:
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allison read 4/8 of an hour everyday of the week. How many hours does she read each week
Answers
Answer:
3 1/2 hours
Step-by-step explanation:
Multiply 4/8 by 7 and you get 28/8 whihc reduces to 3 4/8 and 4/8 can be simplified to 1/2
Answer:
Step-by-step explanation:
Hi! So I am not sure if when you mention for the week if she is talking about the school week(5Days) or a regular week (7 days). So we'll do both.
We know that 4/8 hour can be simplified to 1/2 hour. We also know that 1 hour is 60 minutes ... so 1/2 hour is 30 minutes. This means she reads 30 minutes per day.
School Week: 5 Days
30 minutes x 5 Days = 150 minutes or 2 hours and 30 minutes (2 1/2 hours) (20/8 of an hour)
Regular Week: 7 Days
30 minutes x 7 days= 210 minutes or 3 hours and 30 minutes (3 1/2 hour) (28/8 of an hour)
Please mark me the brainliest or not ! I hope this answers your question
Solve for x. 3 - √x = 0
Answers
Answer:
x = 9
Step-by-step explanation:
3 - √x = 0
Subtract 3 from both sides of the equation
3 - 3 - √x = 0 - 3
-√x = -3
Divide both sides by -1
-√x / -1 = -3 / -1
√x = 3
Take the square of both sides
(√x) ² = 3²
X = 9
please help me , I don't understand how to do this
Answers
Answer:
10 more eggs
Step-by-step explanation:
If each egg equals 5 eggs then
pen 3 has a total of 25 eggs
Pen 2 has a total of 5
pen 5 has a total of 10
10 + 5=15
25-15= 10
Hope this helps ^-^
Answer:
10
Step-by-step explanation:
First I would convert all the egg drawings to the actual number:
Pen 3: 25 eggs
Pen 2: 5 eggs
Pen 5: 10 eggs
Then I would add pens 5 and 2 together, this would sum up to 15.
Lastly, I would subtract 15 from 25 = 10 eggs
I won a sweepstakes and will receive money every week for 52 weeks. The first week, I will receive $500 and every week after that I will receive $50 more than I received the previous week. How much money will I receive over the course of the 52 Weeks?
25 Points.
Answers
Answer:
$3100
Step-by-step explanation:
You can determine this by multiplying 52 by 50, because you get 50 dollars for 52 weeks, then add 500 to it, because you get 500 dollars at first. 52 times 50 is equal to 2600, and 2600 + 500 is equal to 3100. You will receive $3100 over the course of 52 weeks.
You are walking in the woods when you spot a bald eagle high up in a tree. You measure the angle of elevation to the eagle to be 67 degrees. You then walk directly to the tree and determine that you were standing 150 ft from the tree when you saw the bald eagle. How high up in the tree was the bald eagle?
Answers
Answer:
Step-by-step explanation:
infinite
The height of up in the tree was the bald eagle is, 352.5 feet
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
You measure the angle of elevation to the eagle to be 67 degrees.
And, The angle of elevation to the eagle to be 67 degrees.
Now, Let the height of up in the tree was the bald eagle is, x
Hence, We can formulate;
⇒ tan 67° = x / 150
⇒ 2.35 = x / 150
⇒ x = 2.35 × 150
⇒ x = 352.5 feet
Thus, The height of up in the tree was the bald eagle is, 352.5 feet
Learn more about the divide visit:
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True or False: Tamika is having 5 friends over for a birthday party. Each serving of ice cream is of a cup. She would like to double that amount for each serving and have enough ice cream for her and her friends. 4 cups is enough
Answers
Answer:
TRUE
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
False
If you have her and 5 friends that is 6 people.
And her doubled serving is 2 cups.
Enough ice cream would be 12 cups
(6 x 2 = 12)
She only has 4 which is not enough ice cream for everyone given these servings.
I hope this helps.
If you have any questions or concerns please comment or message me. :)
-6(-6x + 1) plz answer
Answers
Answer:
36x - 7
Step-by-step explanation:
X/4-1.2=2
Need this fast
Answers
Answer:
x=12.8Step-by-step explanation:
add 1.2 to the 2
x/4=3.2
multiply 3.2 by 4
x=12.8
PLEASE!! HELP!!
Question
Select the correct location on the number line.
Plot the square root of 3 on the number line.
H
1
2
Answers
Answer:
2nd dot from the left (in the 1.7 column)
Step-by-step explanation:
the square root of 3 is 1.73
each interval on that number line goes by one tenths
(1.1, 1.2, 1.3, etc.)
so counting 7 spaces from the number one should land you at 1.7
(the second red dot from the left)
hope i was able to help!
sebuah kantong berisi 20 kelereng merah dan 15 kelereng putih.toni memiliki 3 kantong yang berisi kelereng dengan jumlah yang sama. jika Toni memberikan 45 kelereng kepada adiknya, sisa kelereng Toni adalah
Answers
Answer:
60
Step-by-step explanation:
The computation of the rest of the marbles is given below:
Since there is 20 red and 15 white marbles
Also the 3 bags contains same marbles
So if he gives 45 marbles, so the remaining would be
= (20 + 15) × 3 - 45
= 35 × 3 - 45
= 105 - 45
= 60
Is my answer correct???
Answers
Answer:
Yes! Great job!
Hope that helps!
Find the unknown side length of these similar triangles using scale factor. Show working out.
Answers
A coupon book has a coupon for 40% off of a lift ticket at Mt. Woodstock. A lift ticket usually costs $70. How much would a skier save?
Answers
Answer:
The Skier would save $28 dollars
Step-by-step explanation:
The answer is 28 because 40% of 70 is 28.
Hope this helps! :)
Answer:
The skier would spend $48 and save $28
Step-by-step explanation: In the attachment
The surface of a rectangular table has an area of 8 square feet and a perimeter of 12 feet. What are the dimensions of the table?
? feet by ? feet
PLS .I really need help.Thank you
Answers
Answer:
4 ft by 2 ft
Step-by-step explanation:
4*2=8
4+4+2+2=12
Please help me again!
Answers
Answer:
144
Step-by-step explanation:
First subtract 180 from 20% of 180.
180 - (20/100 x 180) = 180-36 = 144
Sarah is conducting a science experiment where she initially has a population of 4 fruit flies. Every week the population triples. She writes the function f(x)=4(3)x to predict the population growth. Which rule can also model the function?
Answers
Answer and explanation:
Given that initial population of fruit flies = 4
And population of fruit flies triple every week
If population of fruit flies triple every week then let x represent number if weeks
Therefore function can be modelled thus :
f(x)= 4 + 3x
To demonstrate that the function is correct, we use an example. Now assume population grows for two weeks, using the function:
f(2)= 4+3×2
f(2)= 10
Therefore population grows to 10 fruit flies in 2 weeks based on our function
Jacob has 3 times as many football cards as Eli. Eli has 39 football cards. Tara has 111 football cards. Who has more football cards, Jacob or Tara? How many more?
Answers
Answer:
Jacob
Step-by-step explanation:
39*3 = 117
because it says Jacob has 3 times as many football cards as eli... Eli has 39 so 39*3 is 117 and 117 is more than 111
what special name is given to the domain in a linear programming problem
Answers
Answer:
Mathematics
Step-by-step explanation:
Linear programming (LP, also called linear optimization) is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear relationships. Linear programming is a special case of mathematical programming (also known as mathematical optimization).