Answers
Step-by-step explanation:
let x be the missing side length.We know that hypotenuse is 2x because x is opposite the 30 angle.
Using pythagorean theorem we have that x^2+9^2=(2x)^2
81=4x^2-x^2
81=3x^2
x^2=81/3=27
x=√27
so the missing side is √27
Related Questions
What are the missing parts that correctly complete the proof?
Given: point P is on the bisector of ABC.
Prove: point P is equidistant from the sides of ABC.
1. BP is the bisector of ABC- given
2. ABP≈CBP- ?
3. BXP and BYP are right angles- given
4. ?- all right angles are congruent
5. BP≈BP- ?
6. BXP≈BYP- ?
7. ?- corresponding parts of congruent triangles are congruent
8. Point P is equidistant from the sides of ABC- definition of equidistant
Answers
Answer:
Hello, I just took the test today. I will attach a screenshot. I hope I am not too late answering your question.
This question stumped me too at first. I hope this helps!
The missing parts that correctly complete the proof are;
2) Definition of a bisector
4) ∠BXP ≅ ∠BYP.
5) Reflexive property of congruence.
6) AAS congruence theorem.
7) Corresponding sides of congruent triangles are congruent.
We are given;
Point P is on the bisector of ∠ABC.
2) ∠ABP ≅ ∠CBP; The symbol ≅ means congruent. This means they are equal and it is true because it corresponds with the definition of a bisector means dividing into 2 equal parts.4) All right angles are congruent; Congruent means equal and the two right angles we have in the image are; ∠BXP and ∠BYP. Thus, we can write; ∠BXP ≅ ∠BYP.5) BP ≅ BP; This means that Line BP is congruent and equal to itself and this fulfils the theorem called reflexive property of congruence.6) ΔBXP ≅ ΔBYP; This means ΔBXP is congruent to ΔBYP. Since we have established that ∠BXP ≅ ∠BYP; ∠ABP ≅ ∠CBP; BP ≅ BP. It means we have 2 corresponding angles and one corresponding side equal to each other from the 2 congruent triangles and so we can say this fulfils the AAS congruence theorem.7) PX ≅ PY; This means PX is congruent to PY. From congruence theorem, corresponding sides of congruent triangles are congruent.
Read more at; https://brainly.com/question/11357763
A computer downloads a movie at a constant rate. What does the slope represent?
Answers
Answer:
hope it helps you
Step-by-step explanation:
A computer downloads a movie at a constant rate. What does the slope represent? 2000
Download (megabytes)
000-
400
Time (min)
CLEAR
CHECK
Number of minutes for download completion
Downloading speed in megabytes per minute
Unit rate of minutes per megabyte
Unit rate of megabytes per movie
Answer:
Downloading speed in megabytes per minute
Step-by-step explanation:
did on ttm
What do these (>, ≥, <, ≤) mean
Answers
Answer:
Less Than,Less Than or Equal to,Greater Than,Greater Than or Equal to
Step-by-step explanation:
The line under plays the role of an equal sign and the others are pretty self explanatory
Answer: The first one is a greater sign, the second one is greater than or equal to, the third one is less than, and the last one is less than or equal to.
Step-by-step explanation: hope this helps
What is 5 + 100 + 300,909,786
Answers
Answer:
300909891
Step-by-step explanation:
Answer:
300,909,891
Step-by-step explanation:
2+2+2-2x4x9x2+2+2+4+4x9+1938x3871
Answers
Answer:
7,501,904
I hope this helps!
Answer:
75020220.86 is the answer
he quadrilateral PQRS in the diagram is a parallelogram. Let P'Q'R'S' be the image of PQRS after applying a dilation centered at a point O (not shown) with scale factor 3.
Answers
Answer:
P”Q=3PQ
Step-by-step explanation:
The slope of the line whose equation is 3 x - 2 y = 4 is:
A. 2/3
B. -2
C. 3/2
Answers
Answer:
c 3/2
Step-by-step explanation:
3/5 is equal to what in decimal form?
Answers
Answer:
.60
Step-by-step explanation:
helpp me plzz i really need helppp
thanks!!!!!
Answers
Answer:
-14
Step-by-step explanation:
The sides of a triangle are as follows:
AB = 10 in
BC = 14 in
AC = 8 in
Order the angles of the triangle from smallest to biggest.
<B, <A, <C
<B, <C,<A
<A, <C, <B
<A, <B, C
Answers
Answer:
The order of the angles of Δ ABC from smallest to biggest is
∠B < ∠C < ∠A ⇒ B
Step-by-step explanation:
There is a fact about a triangle
The longest side is opposite to the greatest angleThe shortest side is opposite to the smallest angleLet us use this fact to solve our question
In Δ ABC
∵ AB = 10 inches
∵ BC = 14 inches
∵ AC = 8 inches
→ Find the longest and shortest sides
∴ BC is the longest side
∴ AC is the shortest side
∵ BC is opposite to ∠A
∴ ∠A is the biggest angle in measure
∵ AC is opposite to ∠B
∴ ∠B is the smallest angle in measure
∴ The order of the angles of Δ ABC from smallest to biggest is
∠B < ∠C < ∠A
Write the equation or inequality and solve it.
Enrique’s company pays Salim to advertise on Salim’s website. Salim’s website earns #15 per month plus $0.05 every time a visitor clicks on the advertisement. What is the least number of clicks per month that Salim needs in order to earn $50 per month?
Write an inequality to describe this situation.
Solve the inequality and interpret the solution.
IF YOU DONT KNOW PLZ DONT ANSWER
Answers
Answer:
2000
Step-by-step explanation:
Salim will need to get 2000 clicks in order to get $50 per month or more.
First: 5 cents goes into one dollar 20 times.
Second: You multiply 20 times 50. This is how you get 2000. There is your answer.
Pls Mark Brainliest
Hi madinashakari91 how are you?
I still think you're pretty
Please help!!! Will mark brainliest if you show your work and the answer!
Answers
Answer: Mario
Step-by-step explanation: 8 squared is 64 and 12 squared is 144, 18 squared is 324. According to the Pythagorean theorem, A squared + B squared = C squared but in this case, A squared and B squared doesn't add up to C squared so it is wrong
how do you Factor in algebra 2?
for example:
r^2-r-20
and
x^2+8x+12
Answers
(r-5)(r+4)
(x+6)(x+2)
Step-by-step explanation:
1 r^2 - 1 r - 20
multiply the first and third terms
-20 times 1 equals -20. take the -1
*what are two numbers that multiply together that equals -20 but add to equal -1?
-5 times 4 equals -20
-5 plus 4 equals -1
(r-5)(r+4)
1 x^2 + 8 x + 12
multiply the first and third terms
12 times 1 equals 12. take the 8
*what are two numbers that multiply together that equals 12 but add to equal 8?
6 times 2 equals 12
6 plus 2 equals 8
=(x+6)(x+2)
Choose the best units (liters - l) or (milliliters - ml) to measure each of the following liquids.
The amount of liquid that would fill a test tube
The amount of mouthwash that would fill a travel-sized container
The amount of coffee that would fill a thermos
Answers
ml
L.
Your welcome.
A fish was swimming 3 in a half feet below the water surface at 7:00 a.M. Four hours later, the fish as at a depth that is 5 one fourth feet below where it was at 7:00 a.M. What rational number represents the position of the fish with respectto water surface at 11:00 a.M
Answers
Answer:
8 3/4 below sea level
Step-by-step explanation:
Given that:
Depth of fish at 7:00 A. M = 3 1/2 feets below sea level
Depth at 11:00a.m (4 hours later) = 5 1/4 feets below it's position at 7:00 a. M
Rational number to represent position of fish with respect to the water surface at 11:00 a. M
Position at 11:00 a. M :
Addition of the two depth distances given :
(3 1/2 + 5 1/4)
7/2 + 21/4 = (14 + 21) / 4 = 35 / 4
35/4 = 8 3/4 feets below sea level
Answer:
8.75, 8 3/4 or 35/4
Step-by-step explanation:
3 1/2 + 5 1/4
=(3+5) + (1/2 + 1/4)
=8 + (2/4 + 1/4)
=8 + 3/4= 8 3/4
=8 3/4= 35/4
how do you evaluate cube roots and square roots( in simple words pls)
Answers
Answer:
To evaluate square roots, find the prime factorization. If all the exponents are even, then it is a square root! Just divide the exponents by 2, and multiply them together. To evaluate cube roots, find the prime factorization. If all the exponents are multiples of three, it is a cube root! Just divide the exponents by 3 and multiply them together.
Step-by-step explanation:
1. There are infinite black and white dots on a plane. Prove that the distance between one black dot and one white dot is one unit.
Answers
Answer:
Between each black and white dot equals 1 unit because there are infinite dots, meaning that each dspace between the dots would equal 1 unit.
Step-by-step explanation:
Find the distance between the two points rounding to the nearest tenth (if necessary (8, 7) and (1, - 2)
Answers
Answer: 11.4
Step-by-step explanation:
You would use the distance formula.
(1−8)^2+(−2−7)^2
=(−7)^2+(−2−7)^2
=49+(−2−7)^2
=49+(−9)^2
=49+81
=130
= 11.4
Write the following number in Scientific Notation.
Explain what you did to get your answer
560,000,000,000,000,000
Answers
Answer:
5.6 * 10^17.
Step-by-step explanation:
There are 17 digits after the 5 .
So it's 5.6 * 10^17.
Note that the first number must lie between 1 and 10.
I don't really understand which number we have to write in scientifc notation but I am assuming it is the number 560,000,000,000,000,000.
Ok so, 560,000,000,000,000,000 in scientific notation is 5.6 x 10^17.
This is because if you count the number of spaces behind the decimal point of 5.6 it is equal to 17. So, you would write the answer 5.6 x 10^17.
Transversal / cuts lines a, b, c, and d.
Which two lines are parallel?
Answers
Answer:
A
Step-by-step explanation:
this is the only thing i do not understand about geometry
Answers
Answer:
see explanation
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan40° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{opp}{20}[/tex] ( multiply both sides by 20 )
20 × tan40° = opp , thus
opp = 20 × 0.839 ≈ 16.78 , then
height of traffic light = 16,78 + 5 = 21.78 ft
------------------------------------------------------------------------
Using the tangent ratio in the right triangle
tan42.71° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{150}{d}[/tex] ( d is the distance between store and bank )
Multiply both sides by d
d × tan42.71° = 150 ( divide both sides by tan42.71° )
d = [tex]\frac{150}{tan42.71}[/tex] = [tex]\frac{150}{0.923}[/tex] = 162.5 m
PLEASE HELP I WILL MARK YOU BRAINLIEST
Answers
Answer:
okay so I believe the answer is 30
step-by-step explanation:
So the area is length times width and a parallelogram is Bh so all you would have to do is multiply 10 by 30
if x equals 3 cubed what does this problem equal 2x= If x = 33:
2x = ?
Answers
Answer:
2x = 54
Step-by-step explanation:
The given information;
x = 3^3
solve
x = 27
(beacuse 3^3 = 3 * 3 * 3 = 27
find 2x:
2x = 2 * x
x= 27
2 * 27 = 54
2x = 54
If you were asked to find the total number of tiles covering a circular floor, would you look to find the area or circumference?
Answers
Answer:
The area.
Step-by-step explanation:
The circumference would only cover an outline of the floor. Hope this helps!
Which of the following equations represent linear functions?
y=4(2x)−3
x2+y=1
y=2x√
y=−2
Answers
Answer:
y = 4(2x) − 3 y = −2Step-by-step explanation:
Given functions:
y = 4(2x) − 3 x² + y = 1 y = 2√ xy = −2Linear functions have the form of
ax + by + c = 0 or y = mx + bTherefore functions 1. and 4. are linear functions, the other two aren't
simplify the fraction 15/45
Answers
Answer:
1/3 or .3333333.....
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
you can divide both the numerator and the denominator by 5
15/5=3
45/5=9
then divide by 3 to both sides
hope this helps :3
if it did pls mark brainliest
Write a single transformation that maps ABC onto A' B' C'
Answers
9514 1404 393
Answer:
Either of ...
(x, y) ⇒ (-x, -y)Rotation 180° about the originStep-by-step explanation:
There are at least two ways to express the transformation that maps each coordinate to its opposite.
1. reflection across the origin: (x, y) ⇒ (-x,-y)
2. rotation 180° (either direction) about the origin.
Take your pick.
35 is what percent of 35
Answers
Answer:
100% 35/35 is 1 so 100%
Step-by-step explanation:
100% sure this is right gimme brainliest
PLEASE HELP I WILL GIVE YOU 40 POINTS!!!! make sure you 100 percent corect!
Answers
Answer:
number 1 answer
a saying you have to add all the w's
b saying that you have to add 2w with 2w
c saying it is the simpliyed answer
number 2 answer
a. 2w + 20 + 2w
b. 4w + 20
number 3 we are unable to answer
Step-by-step explanation:
At the movie theatre, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. On Monday 3,000 customers came to the theatre. How many people received both free items?