Answers
Answer:
<M = 50
Step-by-step explanation:
The sum of the angles of a triangle is 180. 52+ 78+x = 180. Combine like terms. 130 +x = 180.
The value of m for the given combination of two right-angle triangles will be 7√5.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
In the bigger right-angle triangle suppose the missing length is x.
By Pythagora's theorem,
(28 + 7)² = x² + m²
x² = 35² - m² (1)
In the smaller right-angle triangle,
x² = 28² + n² (2)
By comparing equations (1) and (2).
35² - m² = 28² + n²
m² + n² = 35² - 28²
In the smallest right-angle triangle,
m² = n² + 7²
n² = m² - 7²
By substitution,
m² + m² - 7² = 35² - 28²
2m² = 35² - 28² + 7²
m² = 245
m² = 7² x 5
m = 7√5.
Hence "The value of m for the given combination of two right-angle triangles will be 7√5".
For more about triangles,
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Related Questions
A brand new vehicle costs $25,399. It decreases in value by 8.5% each year after its purchase.
Which function models the value of the vehicle in dollars x years after its purchase?
f(x)=1.085(25,399)x
f(x)=0.915(25,399)x
f(x)=25,399(0.915)x
f(x)=25,399(1.085)x
Answers
The cost after x years is the initial cost minus the amount of decrease after the duration of x years
Percentage DecreaseGiven Data
Initial Cost of vehicle = $25,399Rate of decrease = 8.5%Duration = yearlyLet us find 8.5% of $25,399
= 8.5/100*$25,399
= 0.085*25399
= 2158.915
Cost after x years will be
Final cost = 25,399 - 2158.915*x
Learn more about percent decrease here:
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a rectangle has an area of 54 square inches the width of the rectangle is 9 inches what is the langth
Answers
Answer:
As per Provided Information
Area of rectangle is 54 square inchesWidth of the rectangle is 9 inches.We have to calculate the length of rectangle .
As we know the formula to find the Area of rectangle .
[tex] \boxed{\bf \: Area_{(Rectangle)} = length \: \times width}[/tex]
On substituting the value we obtain
[tex] \sf \qquad \: \longrightarrow 54 = length \times 9 \\ \\ \\ \sf \qquad \: \longrightarrow \cfrac{54}{9} = length \\ \\ \\ \sf \qquad \: \longrightarrow \: length \: = \cfrac{54}{9} \\ \\ \\ \sf \qquad \: \longrightarrow \: length \: = \cancel \cfrac{54}{9} \\ \\ \\ \sf \qquad \: \longrightarrow \: length \: = 6 \: inches[/tex]
Therefore,
Length of the rectangle is 6 inches .Bert looks around at an assembly. He notices his younger sister to his right and his older
brother 3 meters ahead of him. If Bert's brother and sister are 5 meters apart, how far apart
are Bert and his younger sister?
meters
Answers
Step-by-step explanation:
From how Bert, his sister and older brother are standing, they form a triangle. Since we are not told anything else we can assume they form a right angled triangle. Use theorem of pythagoras to get the missing side.
Bert and his sister are 4 meters apart.
Find the surface area of the shape
Answers
Answer:
7.888.9999999.758375848
Step-by-step explanation:
yes, yes this is the answer
Here’s one of the answer options
Answers
Answer: (x - 2)^2 + (y + 3)^2 = 18 3(2^(1/2)) (2,-3)
Step-by-step explanation:
7x^2 - 28x + 7y^2 + 42y - 35 = 0
divide 7 out
x^2 - 4x + y^2 + 6y - 5 = 0
add 5 to other side
x^2 - 4x + y^2 + 6y = 5
solve by completing the square
take b values divide them by 2 square and add to both sides
-4/2 = -2
-2^2 = 4
6/2 = 3
3^2 = 9
X^2 - 4x + 4 + y^2 + 6y +9 = 4 + 9 +5
(x - 2)^2 + (y + 3)^2 = 18
(x - k)^2 + (y - h)^2 = r^2
r^2 = 18
r = [tex]\sqrt{18}[/tex] = 3[tex]\sqrt{2}[/tex] = 3(2^(1/2))
center of circle = (2,-3)
>>)
What types of angles are in each of these quadrilaterals?
Answers
Answer:
all the quadrilaterals have acute angles!
Please help ASAP. Will give brainliest if correct!
What is 0.15...(repeating decimal) as a fraction in simplest form?
Clearly show your work.
Answers
Answer:
0.15 as a fraction in simplest form is 3/20.
Step-by-step explanation:
0.15 is the same thing as 15/100, divide both the numerator and denominator by 5 and your result is 3/20.
Answer:
0.15 as a fraction in simplest form is 3/20.
Step-by-step explanation:
0.15 is the same thing as 15/100, divide both the numerator and denominator by 5 and your result is 3/20.
If ABCD is dilated by a factor of }, the
coordinate of D' would be:
3 2
B
-2
2
3
10
D
D' = ([?], [ ]
Help please!
Answers
Calculate the surface area of the object above.
Answers
SA is the area of all the faces added together so you would do
2(8x4) + 2(2x4) + 2(8x2) = 112
All digits in a dropdown number are different and one of its digits is the average of all its digits. It has at least two digits. For example, 5021 is a dropdown number, but neither 4389 nor 6033 is a dropdown number. a Find the smallest dropdown number.
Answers
The dropdown numbers is an illustration of combination
The smallest dropdown number is 1025
How to determine the smallest dropdown number?From the question, we have the following parameters:
The dropdown number is 4-digitThe digits are different.We start counting from 1023, 1024, 1025, 1026...........
The sum of digits in 1023 is 6, and the average is 1.5The sum of digits in 1024 is 7, and the average is 1.75The sum of digits in 1025 is 8, and the average is 2The number 1025 satisfies the given conditions
Hence, the smallest dropdown number is 1025
Read more about combination at:
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Spencer cut a square cake vertically to make two rectangle slices. Each rectangle had a perimeter of 27 inches. How long is each side of the original square cake?Solve on paper.Each side of the original square cake is 9 in. What is the area of the original square cake?
Answers
Answer:
81 square inches. square have equal length for all sides area for square is any side times another side so 9x9=81
this question is too hard
Answers
Answer:270
Step-by-step explanation:180/2=90
90*3=270
Hope this helps :)
Answer:
270
Step-by-step explanation:
You can do 180/2 and that gives you 90. Since we know 90:1, we can do 90x3. And that gives 270
Find the error in the calculations below, if there is one:
Line (1): -5 ≤ 2x +7<9
Line (2):-12 ≤ 2x < 2
Line (3): -6 ≤ x < 1
Line (4):
-6
1
The error ocurred from Line (1) to Line (2).
O The error ocurred from Line (3) to Line (4).
There are no errors.
O The error ocurred from Line (2) to Line (3).
Answers
A restaurant sells chicken nuggets in 6-piece and 9-piece cartons. in one day they sell a total of 162 nuggets in 23 cartons. how many of each size carton did the restaurant sell?
Answers
27 six piece cartons
Explanation:you would divide 162 by each number
Apples cost $1.99 per pound how much do 3 1/4 pounds of apples cost
Answers
(3 1/4 =3.25)
Cross multiply
X=(1.99)(3.25)=$6.47
Answer:
6.47
Step-by-step explanation:
1.99/1 lb= x/3.25lb
3 1/4=3.25
Cross multiply
X=(1.99)(3.25)=6.47
Are the triangles similar? If so, how do you know?
Answers
solve for x -3(x + 5) = -9
Answers
Answer:
[tex]\tt x=-2[/tex]
Step-by-step explanation:
[tex]\tt -3(x + 5) = -9[/tex]
Step (1) :- Distribute
[tex]\tt -3x-15=-9[/tex]
Step (2) :- Add 15 to both sides
[tex]\tt -3x-15+15=-9+15[/tex]
Step (3) :- Simplify
[tex]\tt -3x=6[/tex]
Step (4) :- Divide both sides by -3:-
[tex]\tt \cfrac{-3x}{-3}=\cfrac{6}{-3}[/tex]
[tex]\tt x=-2\;\; \bf Answer[/tex]
____
[tex] \sf:\implies \quad {\pmb{\sf x = -2}} [/tex]
Solution:Let's solve the given problem step by step :
[tex]:\implies \quad \sf - 3(x + 5) = - 9[/tex]
First, distribute the given problem :
[tex]:\implies \quad \sf - 3(x + 5) = - 9[/tex]
[tex] \sf:\implies \quad - (3 \times x) - (3 \times 5) = - 9[/tex]
Add 15 to both sides :
[tex] \sf:\implies \quad - 3x - 15 = - 9[/tex]
[tex] \sf:\implies \quad - 3x - 15 + 15 = - 9 + 15[/tex]
On simplifying :
[tex] \sf:\implies \quad -3x-15+15 = -9+15[/tex]
[tex] \sf:\implies \quad - 3x = 6[/tex]
Dividing both sides with same factor :
[tex] \sf:\implies \quad - 3x = 6[/tex]
[tex] \sf:\implies \quad \dfrac{ - 3x}{ - 3} = \dfrac{6}{ - 3} [/tex]
[tex] \sf:\implies \boxed{ \pmb{ \sf\quad x = - 2}}[/tex]
Welcome to the brainiest championship answer the question and you win a brainiest.
Answers
Answer:
d
Step-by-step explanation:
Answer: d
Step-by-step explanation:
need some help I'm stuck on this question in the image
thank you
Answers
B=5
C=3
I think this is the right answer
The width of a rectangle with area 55in^2 depends on its length. write the formula that describes the width of the rectangle as a function of its length.
(screenshot attached if you need to see the problem better)
Answers
The formula that describes the width of the rectangle as a function of length is w = 55 / m.
How to find area of a rectangle?area of a rectangle = lw
where
l = lengthw = widthTherefore,
area = 55 inches²
length = m
width = w
Hence,
area = mw
55 = mw
divide both sides by m
55 / m = wm / m
w = 55 / m
learn more on rectangles here: https://brainly.com/question/26306126
X-3y-7=0. 3x-3y-15=0 elimination method
Answers
Answer:
X=−8+3x
y=−5+x
Step-by-step explanation:
Your friend leaves your house. She later calls you on her cell phone, saying that she's been driving at 60 miles an hour directly away from you the whole time and is now 60 miles away. How long has she been gone?
Answers
Answer: 1hr
Step-by-step explanation: Distance = speed × time
Time = Distance / Speed = 60/60
If you help I’ll give brainlist thing pleaseeee
Answers
Answer:
a. y = 10
b. x = 5 - (5y/2)
c. y = 6x - 11
Step-by-step explanation:
a.
2(y - 3) = 4
2y - 6 = 4
2y = 10
y = 5
b.
2x + 5y = 10
2x = 10 - 5y
x = 5 - (5y/2)
c.
6x + 3y = 4y + 11
6x = y + 11
y = 6x - 11
d.
I don't know this one, sorry.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Given data:
1, 2, 2, 2, 2, 2, 3, 3, 3, 4, 81. Determining the range of the line plot:
To determine the range of the data, we need to subtract the biggest value of the data (8) from the smallest value of the data (1).
⇒ Range of a data: Biggest number - Smallest number⇒ Range of a data: 8 - 1⇒ Range of a data: 7Thus, 7 is the range.
2. Determining the mode of the line plot:
The mode of the data is the digit that has repeated the most. In this case, the digit "2" has repeated five times and has repeated the most.
Henceforth, "2" is the mode.
Learn more about range and modes:
https://brainly.com/question/1225785https://brainly.com/question/25775375Answer:
Range = 7
Mode = 2
Step-by-step explanation:
Question (a)
Range = Highest value - Lowest value
= 8 - 1
= 7
Question (b)
The mode is the most common value that appears in the data.
From inspection of the line plot, we can see that 2 is the most common value (the value that appears the most in the data set).
Select the two expressions that equivalent to 4 + w + 12w
A. 4+13w
B. 13w2 + 4
C. 2(2+6w)+w
D. 16 + 2w
W. 2(2+6w2)
Answers
Answer:
A and C :)
Have an amazing day!!
Please rate and mark brainliest!!
What is the recursive rule?
Question 2 options:
an = an+1 + 500; a1 = 30,000
an = an−1 + 30,000; a1 = 500
an = an−1 + 500; a1 = 29,500
an = an−1 + 500; a1 = 30,000
Answers
Mr. Red's salary is an illustration of an arithmetic sequence
The recursive rule of the sequence is (d) an = an−1 + 500; a1 = 30000
How to determine the recursive formula?From the complete question, we have the explicit rule of Mr. Red's salary to be
an = 500n + 29500
Where:
First term, a1 = 30000Common difference, d = 500The above means that:
The difference between a term and the next term is 500.
So, the recursive rule is:
an = an−1 + 500
Recall that:
a1 = 30000
Hence, the recursive rule of the sequence is (d) an = an−1 + 500; a1 = 30000
Read more about arithmetic sequence at:
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answer needed please
Answers
Answer:
the top answer should be stretched
Find the slope and y intercept
Answers
Answer:
find the angle of the 90 and divide by 5
Step-by-step explanation:
how many degrees is 7/9 of a semicircle
Answers
Answer:
140
Step-by-step explanation:
A semicircle is 180 degrees
7/9x180=140
Answer: 7/9 degrees = 0.00216 cir
Step-by-step explanation:
The angle in circles is equal to the degrees divided by 360. ( For example, here's how to convert 500 degrees to circles using the formula above.500° = (500 ÷ 360) = 1.388889 cir)
A group of friends is going ice skating. The price of admission is $3.25. As a group, they spent $14 on refreshments. If they spent a total of $30.25 on refreshments, how many friends went ice skating
