Answers
Answer:
Step-by-step explanation:
Since, ΔBCM ≅ ΔZYR,
∠B ≅ ∠Z
∠C ≅ ∠Y
∠M ≅ ∠R
And BC ≅ ZY
CM ≅ YR
BM ≅ ZR
a). CM = YR = 11 m
b). BM = RZ = 15 m
c). YZ = BC = 8 m
d). m∠B = m∠Z = 45°
e). m∠M = 180° - [m(∠B) + m(∠C)]
= 180° - (45 + 103)°
= 180° - 148°
= 32°
f). m∠Y = m∠C = 103°
Congruent triangles have equal corresponding sides and angles
The measure of the side lengths are:[tex]YZ =8[/tex], [tex]BM =15[/tex] and [tex]CM = 11[/tex]The measure of the angles are [tex]\angle B =45[/tex], [tex]\angle Y =103[/tex] and [tex]\angle M = 32[/tex]The given parameter is:
[tex]\triangle BCM \cong \triangle ZYR[/tex]
This means that triangle BCM and ZYR are congruent.
So, we have the following congruent sides
[tex]YZ =CB[/tex]
[tex]BM =ZR[/tex]
[tex]CM =YR[/tex]
So, the measure of the side lengths are:
[tex]YZ =8[/tex]
[tex]BM =15[/tex]
[tex]CM = 11[/tex]
Also, we have the following congruent angles
[tex]\angle B = \angle Z[/tex]
[tex]\angle C = \angle Y[/tex]
[tex]\angle M = \angle R[/tex]
So, the measure of the angles are
[tex]\angle B =45[/tex]
[tex]\angle Y =103[/tex]
The measure of angle M is calculated using:
[tex]\angle M + \angle C + \angle B = 180[/tex]
So, we have:
[tex]\angle M + 103 + 45= 180[/tex]
[tex]\angle M + 148= 180[/tex]
Subtract 148 from both sides
[tex]\angle M = 32[/tex]
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Related Questions
HELP ME PLS ITS DUE SOON
Answers
Answer:
B
Step-by-step explanation:
HELP ASAP!
Imagine two lines intersect how can the properties of linear pairs and vertical angles help determine the angle measures created by the intersecting lines explain
Answers
Because vertical angles always equal each other. linear pairs always equals 180 degrees always. hope this helps :)
Help pls
10 - 3x = 22
Answers
Answer:
its 7
Step-by-step explanation:
Which statement correctly describes the relationship between the graph of f(x) and the graph ofg(x)=f(x)−1 ?
A.The graph ofg(x)is the graph of f(x) translated 1 unit right.
B.The graph of g(x)is the graph of f(x) translated 1 unit left.
C.The graph ofg(x)is the graph of f(x) translated 1 unit down.
D.The graph ofg(x)is the graph of f(x) translated 1 unit up.
Answers
Answer:
Your answer is going to be c The graph ofg(x)is the graph of f(x) translated 1 unit down.
Step-by-step explanation:
I just took the k12 4.08 quiz
The graph of g(x)is the graph of f(x) translated 1 unit down. Therefore, option C is the correct answer.
We need to find the relationship between the graph of f(x) and the graph of g(x)=f(x)−1.
What is the translation?A translation moves a shape up, down or from side to side but it does not change its appearance in any other way.
Translation Rules:
When the shape is moved towards the left by k units, then replace x with x - k.When the shape is moved towards the right by k units, then replace x with x + k.When the shape is moved up by k units, then replace y with y + k.When the shape is moved down by k units, then replace y with y - k.From the translation rule, g(x)=f(x)−1 is f(x) translated 1 unit down.
The graph of g(x)is the graph of f(x) translated 1 unit down. Therefore, option C is the correct answer.
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A number x plus 36 is no more than 40. Write this sentence as an inequality
Answers
Answer:
When we say 'as many as' or 'no more than', we mean 'less than or equal to' which means that a could be less than b or equal to b. But, when we say 'at least', we mean 'greater than or equal to'. Here a could be greater than b or equal to b.
The point (4, 1) is reflected over the line y = –x to create Point B. What are the coordinates of B?
Answers
Answer:
(-4,-1) You flip them both and switch the signs.
Please help i will give you brainlest
Answers
Answer:
8 the answer is 8 if u need help just tell me cuz i just did this quiz and i got a 90 and i dont think urs is diffrent then mine
Step-by-step explanation:
Suppose that a number written as a decimal has an infinite number of non-repeating digits after the decimal point. What is this number called?
Oirational
natural
unnatural
rational
Hell yall
Answers
Answer:
Irrational
Step-by-step explanation:
The number is called an irrational number.
These numbers have some distinct properties. The number of numbers after the decimal point is infinite. What this means is that it does not terminate. It keeps on repeating.
Also, these numbers cannot be represented as a ratio of two integers i.e two whole numbers. This is because they keep on going without termination.
Lastly is that these numbers do not repeat after decimal. What I mean by this is that they do not keep repeating a particular number after the decimal point. For example in cases like 2.33333; these are infinite too, but they can be represented by the ratio of two whole numbers and in such cases, they are not irrational in their own respect
Fiona is completing the square to solve the polynomial
equation.
What should be her first step?
x2 - 4x + 1 = 0
isolating the constant 1
O adding 4 to both sides of the equation
O isolating the second term, 4x
adding 1 to both sides of the equation
Answers
Answer:
isolating the constant 1
Step-by-step explanation:
The first step in solving the equation via completing the square is to isolate the constant.
What is completing the square method?The term completing the square method refers to one of the popular methods of solving quadratic equations that involves the addition of half of the square of the b term to both sides of the equation.
Given that an equation, x²-4x+1 = 0, we need to find the first step to solve this be using completing the square method,
So, according to the definition, we will add first isolate the constant,
Therefore,
x²-4x+1 = 0
x²-4x = -1
Now, we will add 4 to both the side,
x²-4x+4 = -1+4
(x+2)² = 3
x+2 = ±√3
x = √3-2 or x = -√3-2
Hence, the first step in solving the equation via completing the square is to isolate the constant.
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If x + y = 13 and y = 2, then which of the following is true according to the
substitution property?
OA) 2 + y = 13
B) x= 13- y
OC) x+ 2 = 13
OD) y = 13 - x
Answers
Answer:
b
Step-by-step explanation:
After swimming 80 feet below the surface of the water, a whale swims up 40 feet. Use a number line to help you create an equation that shows the new location of the whale in relation to the water's surface.
A) The equation is -80 + (-40) = -120. The whale is 120 ft below the water's surface.
B) The equation is -80 + 40 = -40. The whale is 40 ft below the water's surface.
C) The equation is -80 + (-40) = -40. The whale is 40 ft below the water's surface.
D) The equation is -80 + 40 = -120. The whale is 120 ft below the water's surface.
Answers
Answer:
the answer is d
Step-by-step explanation:
he swims 80 feet below so thats gonna be a negative number. he then swims up 40 feet so you would be adding . so -80+ 40 = -120
The new location of the whale in relation to the equation of water's surface is -80 + 40 = -120 which correct option (D)
What is equation?
Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers are equal.
Whale swims 80 ft below so it be a negative number.
Whale then swims up 40 ft so would be adding .
When the whale is 120 ft below the water's surface so it be a negative number.
-80+ 40 = -120
Hence, the new location of the whale in relation to the equation of water's surface is -80 + 40 = -120
Learn more about equation
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Can you answer 10,11,12,13 for mee please I need ASAP !!!
Answers
Answer:
10. Is 31/4 times 1/3 =31/12 or 2 7/12
11.3/8 times 2/3=1/4 but final answer is 1/16
12. 1/2 times -5/-8 = 15/16
13. 1/3 times 11/16 =11/48
Step-by-step explanation:
PLEASE HELP
find the value of x !
Answers
Answer:
x = 32
Step-by-step explanation:
So we are given the measures of two of the three interior angles. 98° and 50°. We are also given that the value of the third interior angle is equal to x°. Remember, the sum of the interior angles of a triangle is 180°. Knowing this, we can make the equation:
x + 98 + 50 = 180
Now we solve for x. Subtract 50 from both sides.
x + 98 = 130
Subtract 98 from both sides.
x = 32
So the value of x is 32.
I hope you find my answer and explanation to be helpful. Happy studying.
In June, Clarissa used 115 gigabytes of data on her cell phone. Given that June has 30 days, how much data did she use on average per day?
Answers
Answer:
She used an average of (115/30) gigabytes of data per day
Step-by-step explanation:
To get the average data usage per day, we simply divide the total data used by the number of days
Mathematically, that will be
115 gigabytes/ 30 days = 3.83 gigabytes per day
what is 8+4*5+5-9+2+45-12+95463/8+34/2=?
Answers
Answer:
12008.875
Step-by-step explanation:
Alejandra can husk 8 ears of corn in 24 minutes. At this rate, how many ears of corn can she husk in 33 minutes?
11
17
33
99
Answers
Answer: 11
Step-by-step explanation:
it takes 3 mins to do one husk so we divide 33 by 3 =11
I know I takes 3 mins for one because I divided 24 by 8.
Answer:
99
Step-by-step explanation:
cuz
El equivalente a (x +8)(x-8) es:
Answers
Answer:
x^2 - 64
Step-by-step explanation:
(x + 8)(x - 8) = x^2 - 8x + 8x - 64 = x^2 - 64
The difference
between two and a
number, multiplied by
five
i need help putting it into an equation
example:two added to three x
3x+2
Answers
Which of following statements best describes the differences between a Prokayote Cell and a Eukayote Cell. There can be more than one
answer
b
Prokaryote cells have no cell membrane but more of a capsule while eukaryote cells have a true cell membrane.
Prokaryotic cells have a nucleus while eukaryote cell have no true nucleus.
Eukaryotic cells are found in plants, animals, and fungi while prokaryote cells are found in bacteria and archaea.
Eukaryotes do not have ribosomes while prokaryote cell have larger protein producing ribosomes.
d
Answers
8. Mr. Phillips has to call a plumber to fix a leaky pipe. The company he calls states
that it will cost him $135 for the replacement parts and $65 an hour for labor. If
his total bill was $362.50, how long did it take the workman to finish the repair?
Answers
There are 16 students in a class and 75% of these students passed their test. What number of these students passed their test?
Answers
Answer: 12 students passed their test
Answer:
12 students
Step-by-step explanation:
16 x .75 = 12
Use compositions to verify that g and g^-1 are in fact inverses.
g(x): 1/x+2
g^-1(x): 1/x - 2
Answers
Answer:
as written there, they are not inverses
proof by counter example: since g(1) = 3 , but g^-1(3) = -5/3 != 1
Step-by-step explanation:
g(g^-1(x)) == x if they are indeed inverses
1/(1/x -2) + 2 = x/(1-2x) + 2 != x so, they are not inverses
How to you post a picture of a graph
Answers
Find the product of −3/5 x −1.5.
Answers
Find x and y!! 20 points
Answers
Answer:
x is 75 degrees and y is 43 degrees
Step-by-step explanation:
6.Find the value of x. Don't forget your reasons.
(x-38)
Answers
Answer:
x = 109
Step-by-step explanation:
The figure has one pair of parallel sides and is a trapezoid.
The lower base angle is supplementary to the upper base angle on the same side, thus
x + x - 38 = 180 , that is
2x - 38 = 180 ( add 38 to both sides )
2x = 218 ( divide both sides by 2 )
x = 109
what is the answer to 2a - 3 = -5?
Answers
Answer:
-1
Step-by-step explanation:
get -3 to the other side of the equation. 2a=-2 so a is -1
question:
$1.59 for 12 shells
Answers
Answer:
about $0.13
Step-by-step explanation:
Answer:
13 cents
Step-by-step explanation:
1.59 divided by 12
Which biconditional statement below is true?
Angles are congruent if and only if they are vertical angles.
Angles are congruent if and only if they are vertical angles.
Angles are supplementary if and only if their sum is 180°.
Angles are supplementary if and , only if their sum is 180°.
A number is a whole number if and only if it is a natural number.
A number is a whole number if and only if it is a natural number.
Points are collinear if and only if they are coplanar.
Points are collinear if and only if they are coplanar.
Answers
Answer: Angles are supplementary if and only if their sum is 180° is true.
Step-by-step explanation:
Test by making both parts negative: Angles are not supplementary if and only if their sum is not 180° This is also true.
Your savings account has a balance of $125. You add $22 a month to this balance.
Which equation shows your balance, b, in m months?
bl m) = $125 m + $22
ml b) = $125 b + $22
ml b) = $125 + $22 b
bl m) = $125 + $22 m
Answers
Answer:
D
Step-by-step explanation:
Answer:
i think D but i might be wrong
Step-by-step explanation:
