Answers
Answer:
The SSS theorem
Step-by-step explanation:
Answer:
SAS Theorem
Step-by-step explanation:
You can tell that the triangles are similar because of the SAS (side-angle-side) theorem.
This is because you already know that two of the sides are congruent since AB and CD were shown to be congruent in the image, and AC and CA are congruent because they're shared. You know that there are similar angles because of the Alternate Interior Angles Theorem*: because of it, you know ∠ACD and ∠CAB are similar because the lines that their transversal intersects are parallel.
*The Alternate Interior Angles Theorem states that if two lines are parallel, the alternate interior angles formed by a transversal are congruent.
Related Questions
Together Mike and Sara ran 42 laps on the
track. Sara ran twice as many laps as
Mike did. Write a system of equations and
solve it to see how many laps they each ran.
Answers
Answer:
i dont know the system of equations since i only calculated it until i got the right answer but sara did 28 laps and mike did 14
plz help me I only have 5 minutes left winner gets brainliest
In what year did the Apartheid Laws in South Africa end?
1990
1972
1994
1958
Answers
Answer:1994.
Step-by-step explanation:I need brainliest I helped with your other questions in comments pls
1. What is the decimal equivalent of 3/
9? 0.2 0.3 0.4 0.5
Answers
Find the values of x and y that make these triangles congruent by the HL Theorem
Answers
Answer:
number 3
because because because because because because because because because
Step-by-step explanation:
because because because because
Find the apothem or height of the triangle. Round your answer at the end to the nearest tenth.
Answers
Answer:22.4
Step-by-step explanation:
Yea I'm bad at explaining
Help, Help, Please
[tex] \sf find \: the \: value \: of \: \theta \: when \: \theta \: is \: acute\: angle[/tex]
[tex] \sf \cos^{2}(\theta) - \sin^{2}(\theta) =2-5 \cos(\theta) [/tex]
[tex]\text{note:explanation is a must}[/tex]
Answers
Answer:
θ = [tex]\frac{\pi }{3}[/tex] (60° )
Step-by-step explanation:
Using the identity
sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x
Given
cos²θ - sin²θ = 2 - 5cosθ
cos²θ - (1 - cos²θ) = 2 - 5cosθ
cos²θ - 1 + cos²θ = 2 - 5cosθ
2cos²θ - 1 = 2 - 5cosθ ( subtract 2 - 5cosθ from both sides )
2cos²θ + 5cosθ - 3 = 0 ← in standard form
(cosθ + 3)(2cosθ - 1) = 0 ← in factored form
Equate each factor to zero and solve for θ
cosθ + 3 = 0
cosθ = - 3 ← not possible as - 1 ≤ cosθ ≤ 1
2cosθ - 1 = 0
cosθ = [tex]\frac{1}{2}[/tex] , so
θ = [tex]cos^{-1}[/tex] ([tex]\frac{1}{2}[/tex] ) = [tex]\frac{\pi }{3}[/tex] ( or 60° )
Answer:
[tex] \huge \boxed{ \boxed{\blue{ { \theta = 60}^{ \circ} }}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:trigonometryPEMDASlet's solve:[tex] \sf \: rewrite \: \sin ^{2} ( \theta) \: as \: 1 - \cos ^{2} ( \theta) : \\ \sf \implies \: \cos ^{2} ( \theta) - (1 - \cos ^{2} ( \theta)) = 2 - 5 \cos( \theta) [/tex][tex] \sf \: remove \: parentheses \: and \: change \: its \: sign : \\ \sf \implies \: \cos ^{2} ( \theta) - 1 + \cos ^{2} ( \theta)) = 2 - 5 \cos( \theta) [/tex][tex] \sf \: add : \\ \sf \implies \: 2\cos ^{2} ( \theta) - 1 = 2 - 5 \cos( \theta) [/tex][tex] \sf \: move \: left \: hand \: sides \: expression \: to \: right \: hand \: sides \: : \\ \sf \implies \: 2\cos ^{2} ( \theta) + 5 \cos( \theta) - 1 -2 = 0[/tex][tex] \sf \: rewrite \: 5\cos( \theta) \: as \: 6 \cos( \theta) - \cos( \theta) : \\ \sf \implies \: 2\cos ^{2} ( \theta) + 6 \cos( \theta) - \cos( \theta) - 3 = 0[/tex][tex] \sf \:factor \: out \: 2 \cos( \theta) \: and \: - 1 : \\ \sf \implies \: 2\cos ( \theta)( \cos( \theta) + 3 ) -1( \cos( \theta) + 3) = 0[/tex][tex] \sf \: group: \\ \sf \implies \: (2\cos( \theta) - 1) ( \cos( \theta) + 3 ) = 0[/tex][tex] \sf \: rewrite \: as \: two \: seperate \: equation: \\ \sf \implies \: \begin{cases}2\cos( \theta) - 1 = 0\\ \cos( \theta) + 3 = 0 \end{cases} [/tex][tex]\sf add \: 1 \: to \: the\: first \: equation \: and \: substract \: 3 \: from \: the \: second \: equation: \\ \sf \implies \: \begin{cases}2\cos( \theta) = 1\\ \cos( \theta) = - 3 \end{cases} [/tex][tex] \sf the \: second \: eqution \: is \: false \: \\ \sf because \: - 1 \leqslant \cos( \theta) \leqslant 1 \: \\ \sf but \: we \: can \: still \: work \: with \: the \: second \: equation[/tex]
[tex] \sf substract \: both \: sides \: by \: 2 : \\ \implies\frac{ 2\cos( \theta) }{2} = \frac{1}{2} \\ \implies\cos( \theta) = \frac{1}{2} \\ \therefore \: \theta \: = {60}^{ \circ} [/tex]The base of a 14-foot ladder is 2 feet from a building. If the ladder reaches the flat roof , how tall is the building
Answers
a^2 + b^2 = c^2
14^2 + 2^2 = 200
squareroot 200 is abt 14.14
Answer:
Step-by-step explanation:
The height of the building is 8 rad 3
Approximately 13.9 ft
Find the total surface area of this cone.
Leave your answer in terms of .
4ft
3ft
SA = [?] ft2
Enter
Answers
Total surface area is: 21 ft²
Lateral area is: 12π ft²
The total surface area of this cone is 21π square feet.
What is the total surface area of the cone?The total surface area of the cone is given by the following formula;
[tex]\rm Surface \ area=\pi r(r+l)[/tex]
Where h denotes the height of the cone and r is the radius and l is the slant height.
The radius of the cone = 3
The height of the cone = 4
Substitute all the values in the formula
[tex]\rm Surface \ area=\pi r(r+l)\\\\\rm Surface \ area=\pi 3(4+3)\\\\\rm Surface \ area=3\pi \times 7\\\\\rm Surface \ area=21\pi[/tex]
Hence, the total surface area of this cone is 21π square feet.
Learn more about the surface area here;
https://brainly.com/question/20759327
#SPJ2
Carlos has 2.6 meters of wire. He has 3 projects for which he needs 0.9 meters each. Does carlos have enough wires?
Answers
Answer: Carlos does not have enough wires by 0.1 meters
Step-by-step explanation:
To determine if Carlos has enough wires, you need to find out the total amount of wires needed and then compare this to the amount of wires that Carlos has already.
= 0.9 + 0.9 + 0.9
= 2.7 meters
Carlos has 2.6 meters of wire but needs 2.7 meters.
Carlos therefore, does not have enough wires.
Please look at the picture and answer my question I need help!
Answers
Answer:
64oz=4lb
Step-by-step explanation:
When converting ounces to pounds there is a 16:1 ratio, or there is 16 ounces in every pound.
To solve this, simply do 64/16 and you'll get your answer of 64oz=4lb.
64/16=4
64oz=4lb
slope of 1/2 and y-intercept is -5.
Answers
Answer:
Y= 1/2x-5
Step-by-step explanation:
happy april fools day you nerds now take my points
Answers
Answer:
WOW THANK YOU SO MUCH!
Step-by-step explanation:
I'm more of a dog lover and not a nerd, but hey I'll take what I can get!
If your like dogs, can you guess what kind of dog this is?
(yes they are all the same breed just different coat colors)
License plates in the tiny country of Venn follow a unique pattern. The first character is one of 41 Egyptian hieroglyphs, the second is one of 39 emojis, and the third character is one of 10 polygons. How many 3 character license plates are available to the people of Venn?
Answers
Answer:
12710 license plates
Step-by-step explanation:
Given that :
First character = one of 41 different hieroglyphs
Second character = one of 31 emojis
Third character = one of 10 polygons
A license plate consists of 3 characters
Number of 3-character license plates available :
Number of hieroglyphs * Number of emojis * number of polygons
41 * 31 * 10 = 12710 license plates.
How many solutions does the system of equations 5x−4y=8 and 5x−4y=2 have?
A)no solutions
B)1 solution
C)2 solutions
D)an infinite number of solutions
Answers
Answer:
1 solution. y= 5/4x - 1/2
Which of the following correctly completes the square for: x^2+2x=48
A. (x+2)^2=52
B. (x+1)^2=49
C. (x+2)^2=47
D. (X-1)^2=26
Answers
Answer:
(x+1)²= 49, the answer is B
Step-by-step explanation:
x² + 2x = 48
x² + 2x + (2/2)² - (2/2)²= 48 --[what we are trying to do is to complete a square by adding (2/2)² - (2/2)²]
(x+1)²= 49, the answer is B
Answer:
hey I'm pretty sure it's B. (x+2)²=49
Step-by-step explanation:
x²+2x+(2\2)²=48 + (2\2)²
(x+1)²=49
2 over 2 by the power of 2 = 1
Is parallelogram BCDE a rectangle?
Answers
Micki bought 4 gallons of apple cider. How many quarts did she buy?
Answers
Answer:
16
Step-by-step explanation:
There are four quarts in a gallon. 4x4=16.
Answer:
4 quarts per gallon
4 quarts times 4 gallons= 16 quarts
Ab and cd intersects at e, aec=5x+12 and deb=8x-3
Answers
Answer:
x = 5
Step-by-step explanation:
Angles DEB and AEC are vertical angles, so they are congruent, and their measures are equal.
8x - 3 = 5x + 12
3x = 15
Leslie invest 42,000 into an account that pays 7%compounded weekly. How much is the account worth after 5 years?
Answers
Answer:
$41,998.58
Step-by-step explanation:
The computation of the account worth after 5 years is shown below:
As we know that
Future value = Present value ×(1+ rate of interest)^number of years
= 42,000 × (1 + 0.07 ÷ 52)^5× 52
= 42,000 × (1 + 0.0013461)^260
= $41,998.58
Plz, answer this question plz!
Answers
If a car has tires with a diameter of 28 inches and is traveling at 55 mph, how fast are its tires spinning, in rpm^ prime s (revolutions per minute)? [There are 63,360 inches in 1 mile) Round your final answer to 2 decimal places .
Answers
Answer:
The tires are spinning at 660.49 revolutions per minute.
Step-by-step explanation:
The speed of the tires (v) is the same that the speed of the car, so to find the angular velocity of the tires we need to use the equation:
[tex] \omega = \frac{v}{r} [/tex]
Where:
r: is the radius of the tires = d/2 = 28 inches/2 = 14 inches
[tex]\omega = \frac{55 mph}{14 inches*\frac{1 mile}{63360 inches}} = 2.49 \cdot 10^{5} \frac{rad}{h}*\frac{1 h}{60 min}*\frac{1 rev}{2\pi rad} = 660.49 rpm[/tex]
Therefore, the tires are spinning at 660.49 revolutions per minute.
I hope it helps you!
What is the value of n in the equation below?
StartFraction a Superscript n Over a cubed EndFraction = a Superscript 9
Answers
Answer:
ok ok it it 12
Step-by-step explanation:
stay safe 2021
Answer:
12
Step-by-step explanation:
Edge
QUESTION 6 / 10
Which of the following is not a source of income?
A. Your monthly student loan payment.
B. The stipend you receive for doing an internship.
C. Your annual salary for doing your job.
D. The wages you receive after a work shift.
Answers
Answer:
b. The stipend you receive.
Step-by-step explanation:
It would say paid intern if they were paid.
A survey was conducted on 800 students regarding the number of automobiles in their household. The population mean is 2.7 automobiles with a standard deviation of 0.7.
Which statement is true?
A.
There is a 95% certainty that the sample mean will fall within the interval 2.68 to 2.72.
B.
There is a 95% certainty that the sample mean will fall within the interval 2.67 to 2.73.
C.
There is a 95% certainty that the sample mean will fall within the interval 2.62 to 2.77.
D.
There is a 95% certainty that the sample mean will fall within the interval 2.65 to 2.75.
Answers
In a random sample, 3 of 400 computer chips are defective. Based on
the sample, how many chips out of 100,000 would you expect to be
defective?
Answers
Answer:
750 of 100,000 chips would be expected to be defective.
Step-by-step explanation:
(3/400) and (?/100,000)
100,000 ÷ 400 = 250.
Multiply 250 by 3 to find the number of defective chips.
250 x 3 = 750.
I WILL GIVE BRAINLIEST
Which frequency table shows the test times in minutes) for a reading test?
81, 63, 61, 58, 72, 70, 79, 68, 82, 64, 54, 82, 72, 63, 64, 76, 57, 65, 73, 58
Answers
Which expressions are equivalent to this exponential expression?
6-10
6-4
06-6
0 66
0
1
0
O
1
36
Answers
Answer:
6*6=36
Step-by-step explanation:
6*6. 6 with exponent of 2=36
what is the answer to 7(2x + 9)
Answers
Answer:
14x + 63
Step-by-step explanation:
[tex]7(2x+9)\\\\14x+63\\\\\left \{ {{7*2x=14x} \atop {7*9=63}} \right.[/tex]
Hope this helps.
[AB] is a diameter of center C(O, 3cm). M is a point on (C) such that MA=MB. D is the symmetric of A with respect to M.
What is the nature of triangle AMB? Justify.
Answers
Answer: I dont know AZ
Analyze: 30 + 11 when c=4
Answers
Answer:
23
Step-by-step explanation:
3c + 11
3(4) + 11
12 + 11
23