The statement "the square of the longest side is equal to the sum of the squares of the two shorter sides" is true for a right-angled triangle.
(a) 5 cm, 12 cm and 13 cm
The statement is represented as:
[tex]\mathbf{13^2 = 12^2 + 5^2}[/tex]
[tex]\mathbf{169= 144 + 25}[/tex]
[tex]\mathbf{169= 169}[/tex]
Hence, the statement is true for triangle (A)
(b) 4 cm, 5 cm and 7 cm
The statement is represented as:
[tex]\mathbf{7^2 = 5^2 + 4^2}[/tex]
[tex]\mathbf{49 = 25 + 16}[/tex]
[tex]\mathbf{49 = 41}[/tex]
Hence, the statement is not true for triangle (B)
(c) 3 cm, 4 cm and 5 cm
The statement is represented as:
[tex]\mathbf{5^2 = 4^2 + 3^2}[/tex]
[tex]\mathbf{25 = 16 + 9}[/tex]
[tex]\mathbf{25 = 25}[/tex]
Hence, the statement is true for triangle (C)
(d) 9 cm, 12 cm and 15 cm
The statement is represented as:
[tex]\mathbf{15^2 = 12^2 + 9^2}[/tex]
[tex]\mathbf{225 = 144 + 81}[/tex]
[tex]\mathbf{225 = 225}[/tex]
Hence, the statement is true for triangle (D)
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Is this correct people?
Answer:
Yes
Step-by-step explanation:
Answer:
Yes that answer is correct :)
in the given figure triangle abc is similar to triangle ADB write down the corresponding sides with their relation
[tex]\\ \sf\longmapsto ∆AED=∆ABO[/tex]
[tex]\\ \sf\longmapsto \dfrac{AE}{AB}=\dfrac{AD}{AO}[/tex]
[tex]\\ \sf\longmapsto \dfrac{AD}{AE}=\dfrac{AB}{AO}[/tex]
Explanation:
Given that
In ∆ ABC, DE is a line drawn on AB and AC
In ∆ ADE and ∆ ABC
∠ AED = ∠ ABC = 70°
∠ AED = ∠ BAC (Common vertex angle )
By AA similarity criteria
∆ ADE and ∆ ABC are similar triangles
⇛ ∆ ADE ~ ∆ ABC
We Know that
If two polygons of same number of sides are said to be similar,
If the corresponding angles are equal.
If the corresponding sides are in the same ratio or in proportion.
So, The corresponding angles are mist be in proportion
⇛ AD / DB = AE/EC
Key Knowledge:-
If two polygons of same number of sides are said to be similar, If the corresponding angles are equal.If the corresponding sides are in the same ratio or in proportion.Note :-
If DE || BC then by Basic Proportionality Theorem, AD / DB = AE/ECIf a line drawn parallel to one side of a triangle intersecting other two sides at two different points and the line divides the other sides in the same ratio.4. Evaluate the expression:-32 - (-59) - (15-33).
O A. 16
O B. 52
C. -2
O D. 34
Answer:
well the answer would be 45?
Step-by-step explanation:
-1/3(4+z)=-5/6 I need answer ASAP
Answer:
-2/3
Step-by-step explanation:
:)
Answer:
z = - 1.5Step-by-step explanation:
Given equation:
-1/3(4 + z) = -5/6Multiply both sides by - 3 and simplify;
(-3)(-1/3(4 + z)) = (-3) (-5/6) 4 + z = 5/24 + z = 2.5z = 2.5 - 4z = - 1.5Giải phương trình nghiệm nguyên 14x+26y-714=0
Answer:
7
Step-by-step explanation:
bc
HELP ASAP A vector starts at point (-3, 4) and ends at point (6, -3). What is the magnitude of the vector? Answer to two decimal places.
The magnitude of the vector to two decimal places is 11.40 units
The formula for calculating the magnitude of the vector is expressed as:
[tex]D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2 }[/tex]
Given the coordinate points (-3, 4) and (6, -3)
[tex]D=\sqrt{(-3-4)^2+(6+3)^2 }\\D=\sqrt{(-7)^2+9^2}\\D=\sqrt{49+81}\\D=\sqrt{130}\\D= 11.40[/tex]
Hence the magnitude of the vector to two decimal places is 11.40 units
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2(x-3)< 8 or x+5> 6
Solve the compound inequality
Answer:
1 < x < 7
Step-by-step explanation:
1. Solve for 2(x - 3)
Step 1: Simplify both sides of the equation.
[tex](2)(x)+(2)(-3)<8[/tex] [tex]2x - 6 < 8[/tex]Step 2: Add 6 to both sides.
[tex]2x - 6 + 6< 8 + 6[/tex] [tex]2x < 14[/tex]Step 3: Divide both sides by 2.
[tex]\frac{2x}{2} <\frac{14}{2}[/tex] [tex]x< 7[/tex]2. Solve for x + 5 > 6
Step 1: Subtract 5 from both sides.
[tex]x + 5 - 5 > 6 - 5[/tex] [tex]x > 1[/tex]3. Now that we know x is more than one but less than 7, we can write the solution as this: 1 < x < 7.
Therefore, the answer is 1 < x < 7.
Answer: 1. Solve for 2(x - 3) Step 1: Simplify both sides of the equation. Step 2: Add 6 to both sides. Step 3: Divide both sides by 2. 2. Solve for x + 5 > 6. Step 1: Subtract 5 from both sides.
Step-by-step explanation:
Helpppppppppppppppppppppp!!!!!!! Plzzzzzzzzzzzzzzz
Step-by-step explanation:
The sum of the interior angles of a triangle is equal to 180° so we can write
[tex]y + 2y + 3y = 180° \Rightarrow 6y = 180°[/tex]
Solving for y, we get
[tex]y = 30°[/tex]
So the other two angles of the triangle are
[tex]2y = 2(30°) = 60°[/tex]
and
[tex]3y = 3(30°) =90°[/tex]
find the surface area 5 in 7 in 3 in
Answer:
Step-by-step explanation:
If theses are the edges of a prism then
Surface area = 2(5*7 + 5*3 + 7*3)
= 2 * 71
= 142 in^2.
I don’t know how to do this promise or start it
Answer:
Where is the question ?
Step-by-step explanation:
simplify (-7b2)(-2b3)
Answer: 145
Step-by-step explanation:
(−72)(−23)
−72(−23)
1423
Combine any like terms in the expression. If there are no like terms, rewrite the expression.
2b ^ 3 + 2
Answer:
There are no like terms.
Step-by-step explanation:
Answer: if i remember correctly you’re just supposed to add 2 to the exponent so it’s be 2b^5 if that’s not the case then there are no like terms
Step-by-step explanation:
Brad baked 36 muffins. Adam baked 8 more muffins than Brad.
Fred baked 2 times as many muffins as Adam. How many muffins
did Adam bake? How many muffins did Fred bake?
Answer:
Adam baked 44 muffins.
Fred baked 88 muffins.
Step-by-step explanation:
Adam) Do 36 + 8 = 44
because it says Adam baked 8 more than Brad.
Fred) Do 44 x 2 because it says
He baked 2 time more than Adam
-kiniwih426
Triangle ABC, with A = (-2,3) B = (-4,1) and C = (-3,5), is rotated 90- clockwise about the origin to make Triangle A'B'C'. What are the y-coordinates of B'?
Answer:
Step-by-step explanation:
-1
HELP PLS I NEED THIS DONE BY 1:00 help me
What's the area of the orange running track going around the field?
Answer:
NO IDEA
Step-by-step explanation:
Sun company has studied the collection pattern of sales for the past year and management has developed the following collection schedule:
55 percent in the month of sale with a 1 percent discount
30 percent in the month of sale
15 percent in the second month following the sale
Actual sales for past six months are:
January $200,100
February 220,450
March 300,700
April 251,200
May 275,890
June 180,460
Expected sales for the next six months are:
July $175,800
August 194,500
September 186,300
October 210,750
November 349,000
December 375,900
A) Determine the expected cash receipts by the month for July through September
B) Determine the expected cash discounts by month for July through September
C) Determine the expected ending balance of accounts receivable by the month of July through September
A) The determination of the expected cash receipts from July to September is as follows:
July Aug. Sept.
Expected Sales $175,800 $194,500 $186,300
Cash (55%) 96,690 106,975 102,465
1% discount 967 1,070 1,025
Net cash sales 95,723 105,905 101,440
30% month 1 52,740 58,350 55,890
15% month 2 27,069 26,370 29,175
Total cash receipts $175,532 $190,625 $186,505
B) The determination of the expected cash discounts from July to September is as follows:
July Aug. Sept.
Expected Sales $175,800 $194,500 $186,300
Cash (55%) 96,690 106,975 102,465
1% Cash Discounts $967 $1,070 $1,025
C) The determination of the expected ending balance of accounts receivable from July to September is as follows:
July Aug. Sept.
Expected Sales $175,800 $194,500 $186,300
Ending balance of
Accounts Receivable $26,370 $29,175 $ 27,945
= 15% of July, August, and September Sales
Data and Calculations:
July Aug. Sept. Oct. Nov. Dec.
Expected
Sales $175,800 $194,500 $186,300 $210,750 $349,000 $375,900
Cash (55%) 96,690 106,975 102,465 115,913 191,950 206,745
1% discount 967 1,070 1,025 1,159 1,920 2,067
Net cash sales 95,723 105,905 101,440 114,754 190,030 204,678
30% month 1 52,740 58,350 55,890 63,225 104,700 112,770
15% month 2 27,069 26,370 29,175 27,945 31,613 52,350
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whats 3/4+1/8 i dont know how to add them help im not cheating i promise i just need it to answer the question that i have and i couldn't ask it because it has a picture and i dont know how to take a picture on it because im on my personal chromebook
Answer:
7/8
Step-by-step explanation:
You multiply 3/4 by 2 to get a common denomerater, then you get 6/8, after you add 1/8 + 6/8 and get 7/8
please help me with this sum
Answer:
First column 107
Second Column 135
Third Column 104
Fourth Column 109
Fifth Column 160
Is this what you were needing? A sum of the numbers in each column?
Please allow me to know if I helped by clicking thank you, rating or brainly.
Miss Hawaii
Which graph represents the function f(x)=4⋅3x?
Answer: Bottom right corner (southwest corner)
Explanation:
Plug in x = 0 to find that
[tex]f(x) = 4*3^x\\\\f(0) = 4*3^0\\\\f(0) = 4*1\\\\f(0) = 4\\\\[/tex]
This shows that the y intercept is (0,4).
Of the four answer choices, only the bottom right corner has this y intercept. Note that the curve goes uphill when moving to the right. This function is increasing which matches with f(x) being an increasing function. In other words, f(x) represents exponential growth.
What is 5.521 rounded to the nearest whole number?
Answer:
6
Step-by-step explanation:
If the first number (in this case, behind the decimal) is 5 or more, you round up. If it is 4 or less, you round down. since 2 and 1 are less than 4, you round down making them both 0. Then, you round up making the answer 6. I hope this makes sense! I wasn't entirely sure how to explain this.
Question 5 of 10 What is the domain of the function in this table? х y 1 2 2 6 3 10 4 14 O A. (1,2,3,4) B. (1.2).(2.6), (3,10), (4,14) O C. (1.2) O D. (2,6,10,14)
will you please help me
Answer:
sure if im able, with what?
Step-by-step explanation:
I have more question then this one
Answer:
option b
Step-by-step explanation:
have a great day
draw a square and its diagonals how many angles are formed by the intersection of the diagonals?
A square has 2 diagnals. imagine 2 lines connecting every opposite angle of the square. that leaves 2 intersecting lines. Sinse the two lines are intersecting, they form angles. Because there are only 2 lines, there are 4 angles. The answer is 4.
A square is a four-equal-sided figure with the diagonals of the square cut perpendicular to each other as shown below and the number of angles formed by diagonals is 4.
What is a square?A square is a geometrical figure in which we have four sides each side must be equal and the angle between two adjacent sides must be 90 degrees.
Area of square = Side²
The perimeter of the square = 4× side
A square is a geometrical figure in which we have four sides each side must be equal and the angle between two adjacent sides must be 90 degrees.
There are two diagonals in every square.
The angle of intersection between both diagonals is 90 degrees.
The number of angles formed by diagonals = 4
Hence "A square is a four-equal-sided figure with the diagonals of the square cut perpendicular to each other as shown below and the number of angles formed by diagonals is 4".
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Two movies, an action movie and a drama, were released on the same day. The producers of the action movie claimed that their movie would be better received by audiences than the drama. To test the producers' claim, CinemaScore randomly selected 100 people and showed them both movies. Then the viewers were asked whether they liked or disliked each movie. The results are shown in the table.
Answer:
C is the correct answer.
If you need an explanation tell me.
More people like the action movies.
What is comparison of two numbers?
Comparison of two numbers, means to examine the differences between numbers, quantities or values to decide if it is greater than, smaller than or equal to another quantity.
According to the given question
We have a data in which
Number of people who liked action movie = 78
Number of people who liked action movie = 60
Number of people who disliked the action movie = 22
And, number of people who disliked the drama movie = 40
From the given data we conclude, that action movie is liked by more people as compared to drama movie because 78 > 60.
Hence, the action movie is better received by the audience than the drama.
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Solve: multiplying decimals with powers of 10, complete this and get brainliest
Answer:
1. 79,210
2. 6,231
3. 23.4
Step-by-step explanation:
1. 7.921 * 10^4
10 ^ 4 = 10000
move the decimal point four places to the right
= 79,210
2. 6.231 * 10^3
10 ^ 3 is 1000
move the decimal point three places to the right
6,231
3. 0.234 * 10^2
10 ^ 2 is 100
move the decimal two places to the right
23.4
Can anyone help me solve these ?
Answer:
try using demos its a great app for creating and reading maps
FIND THE MESURES OF THE ANGLES. FIND TWO. ANSWER CHOICES:
A: 131
B: 180
C: 90
D: 49
Answer:
d . 49
Step-by-step explanation:
180-131 ( supplementary angle)
= 49°
Answer:
=D 49
.......................
Fractions
9/4 = ?/28 can u help me solve this explination please