Answers
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Related Questions
The diagram shows a square ABCD
M is the midpoint of AB
N is the midpoint of AD
The area of the shaded triangle AMN is 8cm^2
Work out the area of triangle MCN
Answers
The area of the triangle, Δ AMN is 8 cm², so the area of the triangle, ΔMCN is 24 cm².
A triangle is one of the most basic geometric figures with 3 sides, 3 angles, and 3 vertices.
The area of a triangle is half of the product of the base and height.
Given that
ABCD is square and M and N are mid-points of lines AB and AD respectively.
Area of triangle, ΔAMN = 8 cm²
[tex]\dfrac{1}{2} \times AN \times AM = 8\\AN \times AM = 8 \times 2\\AN \times AM = 16[/tex] ...(i)
Since ABCD is square, therefore AB = AD.
Also, as M and N are mid-points of lines AB and AD, so
AN = AM.
Substitute AN = AM in equation (i),
[tex]AN \times AN = 16\\AN^2 = 16\\AN = \sqrt{16}\\AN = 4\ cm[/tex]
So,
AD = 2 × AN
= 2 × 4
= 8 cm
As ABCD is square,
AB = BC = CD = AD = 8 cm.
Area of the square ABCD = 8² = 64.
Since CD = BC, ND = MB, ∠D = ∠B.
Therefore by SAS property of similarity,
ΔCDN ≅ ΔCBM
Area of the triangle, ΔCDN = Area of the triangle, ΔCBM.
[tex]= \dfrac{1}{2} \times CB \times BM\\= \dfrac{1}{2} \times 8 \times 4\\\\= 16\ cm^2[/tex]
Area of the triangle, ΔCMN = Area of ABCD - Area of ΔAMN - Area of ΔCDN - Area of ΔCBM
Area of the triangle, ΔCMN = 64 - 8 - 16 - 16
= 24 cm²
Therefore, the area of ΔCMN is 24 cm².
Learn more about Triangles here:
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Why did my mom leave my dad.
Answers
Answer:
uh im sorry
Step-by-step explanation:
uh
Answer:
because she found me
Step-by-step explanation:
quite simple.
pls help meeeeeeeeeeeeee
Answers
Answer:
the right answer is:
(A) [tex]2+\frac{1}{2}a[/tex]Step-by-step explanation:
You take the equations that the exercise give you:
x + y = 4x - y = aNow you clear the "y" variable in any equation you want, in this case, I'm gonna use the second equation:
x - y = a-y = a - x3. y = x - a
And now, you'll replace this third equation in the equation you didn't take (the first in this case).
x + y = 4x + (x - a) = 4x + x - a = 4Add the x variables:
2x - a = 42x = 4 + ax = (4 + a) / 2That's the answer of the exercise, but you can represent this in this form:
x = (4 + a) / 2 ↔ [tex]x = \frac{4}{2} + \frac{1}{2} a[/tex]x = (4 + a) / 2 ↔ [tex]x = 2+ \frac{1}{2} a[/tex]By this reason, the right answer is [tex]x = 2+ \frac{1}{2} a[/tex].
The distance from Kim's house to NYC is 100 miles more than the distance from her house to LA. If the sum of the distances is 3,000 miles, how far is it from Kim's house to New York City?
Please help and show how you solved it!!
Answers
Answer:
1550miles
Step-by-step explanation:
assume her house to LA has x miles, therefore her house to NYC is x+100miles
x+x+100=3000
2x=2900
x=1450
x+100=1550miles
Select the number that is a solution to the inequality t > 6.
A 2
B 6
C 5.2
D 6.01
E 0.6
Answers
Answer:
D. 6.01
Step-by-step explanation:
6.01 is greater than six.
Answer: D
Step-by-step explanation:
“>” means greater than. So, T has to be bigger than 6. 6.01 is bigger.
60 cars to 24 cars what is the decrease percentage
Answers
Answer:
It decreased 60%
Step-by-step explanation:
TO figure this out we must first find 1% of 60
60/100 = .6
Now we find the difference between 60 and 24
60 - 24 = 36
Now that we know how much it decreased we must now find out what percent 36 is of 60.
.6 x 60 = 36
So 36 out of 60 is 60%
So it decreased 60%
(っ◔◡◔)っ ♥ Hope It Helps ♥
Please Consider giving Brainliest
simplify the expression below (3³-3²)+2³=
Answers
Answer:
1^1+2^3 I believe
Step-by-step explanation:
=3³-²+2³
=3¹ + 2³
= 3+ 8
=11
A suitcase is a rectangular prism whose dimensions are 1 1/4 feet by 1 1/2 feet by 2 1/4 feet.Find the volume of the suitcase.
Answers
Answer:
The answer is "[tex]\bold{\frac{135}{32}}[/tex]".
Step-by-step explanation:
[tex]Volume= length \times width \times height\\\\\to 1\frac{1}{4}= \frac{5}{4}\\\\\to 1\frac{1}{2}=\frac{3}{2}\\\\\to 2\frac{1}{4}=\frac{9}{4}\\\\\to Volume= \frac{5}{4} \times \frac{3}{2}\times \frac{9}{4} = \frac{135}{32}[/tex]
Which is greater, -9/20 or -0.5?
Answers
Answer and Step-by-step explanation:
If we put [tex]-\frac{9}{20}[/tex] into decimal form, we get -0.45.
-0.45 is greater than -0.5, so,
[tex]-\frac{9}{20}[/tex] is greater than -0.5.
#teamtrees #PAW (Plant And Water)
Using the markings below, determine which of the following is the measure of angle 2
Answers
Answer:
4. 132°Step-by-step explanation:
Both the triangles on the left and right are isosceles
The top angle of the triangle on the left:
180° - 2*69° = 42°The top angle of the triangle on the right:
90° - 42° = 48°This is the same angle as supplementary with angle 2:
∠2 = 180° - 48° = 132°Correct choice is 4
Find the term indicated in the expansion.
(x + 2y)*; fourth term
Helppppppp
Answers
Answer:
wish that will help u
Mrs. Crawford is making sugar cookies. She had thirteen already made, and each batch can make eleven more cookies. How many batches does she need to make if she needs a total of 167 cookies?
Answers
Longer Answer If she already has 13 then minus 13 in 167 cookies and you get 154 then 154÷11 = 14
I hope that makes sense and I hope it helps
lf 60% of a number is 90, what is it number? a)30 b)54 c)150 d)180
Answers
Where is the mistake in the following problem?
1) 3/12
2)9/12
3)3/4
4)1/3
Answers
Because 1/3 would have changed to 4/12,
1x4= 4
3x4=12
You need to multiply them by the same number and 1) was multiplied by three on the numerator and four on the denominator.
7/20X5/5 equals? Any help
?
Answers
Question 2 of 10
What is the area of the triangle below?
No links please
Answers
60
Explanation
Height x length then divide by 2
Mrs. Thomas is planning to prepare dinner. She needs 0.075 L of soy milk
for one recipe and 0.2 L of soy milk for another recipe. Find the total
amount of soy milk she needs using significant digits.
OA) 0.27 L
OB) 0.275 L
OC) 0.28 L
OD) 0.3 L
Answers
Answer:
B
Step-by-step explanation:
0.075 l+
0.200 l
=0.275 l
Answer:
B.)
Step-by-step explanation:
I took the test
5÷
2
1
plz, help!!!!!!!!!!!!!!!
Answers
Answer:
5÷ 21 = 0.23809523809
A ball is thrown into the air from the top of a building. The height, h (t), of the ball
above the ground t seconds after it is thrown can be modeled by the function
h (t) = -16t+64t + 80. Explain the meaning of h (0) = 80 in the context of
the problem.
Answers
Answer:
See below
Step-by-step explanation:
h(0) is the height of the ball when it is thrown. h(0) = 80 ft. The top of the building is 80 ft. above ground.
Brainliest goes to whoever answers/explains this correctly
Answers
Answer: (-5,0) will be your answer hope this helps
Step-by-step explanation:
Plz Help Me
Students were surveyed about their favorite food. Here are the results:
34% of the students like pizza
24% of the students like hamburgers
58% of the students like chicken
8% of the students like all three
12% of the students like pizza and hamburgers
22% of the students like pizza and chicken
8% of the students like only hamburgers
What percent of the students did not like pizza, hamburgers or chicken?
Answers
Answer:
0%
Step-by-step explanation:
They all liked one type of food.
The percent of the students which does not like pizza, hamburgers or chicken in the result of survey of favorite food are 22%.
Percentage of a number is the part of the whole number which is expressed in the fraction of hundredth. It is represented with "%" symbol.
Students were surveyed about their favorite food. Here are the results:
34% of the students like pizza24% of the students like hamburgers58% of the students like chicken8% of the students like all three12% of the students like pizza and hamburgers22% of the students like pizza and chickenonly 8% of the students like hamburgersThe vann diagram which represent this result is attached below. 8% of the students like all three, so 4% like chicken and hamburger and 4% pizza and hamburger.
14% of the students like pizza and chicken. Thus, the percent of the students did not like pizza, hamburgers or chicken is,
[tex]100-(32+14+8+4+4+8+8)=22\%[/tex]
Thus, the percent of the students which does not like pizza, hamburgers or chicken in the result of survey of favorite food are 22%.
Learn more about the percentage here;
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(Will Give Brainliest) What is the slope of the line? −4x + 7 = 2y − 3
Answers
Answer:
m=-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
-4x + 7 = 2y - 3
7 = 2y - 3 + 4x
0 = 2y - 3 + 4x - 7
-2y = -3 + 4x - 7
-2y = 4x - 10
y = -2x + 5
As the slope of the line is equal to the value of x, the slope of this line is -2
Which number is a constant in the algebraic expression? Negative x squared minus 6 y + 13 x + 7
Answers
Answer: 7
Step-by-step explanation:
-x^2 -6y+13x+7
The constant is the term with no variable attached to it
7 is the constant
Answer:
7
Step-by-step explanation:
One of the legs of a right triangle measures 14 cm and the other leg measures 5 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answers
Answer:
14.9cm
Step-by-step explanation:
hope it helps you good day.
Can someone help me with this question please
Answers
Answer:
the answer for both of them is x=4/5y-4
Step-by-step explanation:
Step 1: Add 8y to both sides.
10x−8y+8y=−40+8y
10x=8y−40
Step 2: Divide both sides by 10.
10x/10=8y−40/10
x=4/5y−4
Answer:
x=4/5y−4
hope this helped :)
What is m∠N?
A. 19°
B. 68°
C. 95°
D. 112°
Answers
I hope this help!
Ruby is building a pentagon-shaped garden and a hexagon-shaped garden.
.the perimeter of the pentagonal garden is 47 1/2ft
.The perimeter of the hexagonal garden is 61 1/2ft
Witch statement is false about this scenario?
A) the equation to find the length of each side of the pentagonal garden is 6x=47 1/2
B) The length of each side of the pentagonal garden 9 1/2 ft
C) The equation to find the length of each side of the hexagonal garden is 6x=61 1/2
Answers
9514 1404 393
Answer:
A
Step-by-step explanation:
If x is the side length of the regular pentagon, the perimeter is the sum of its 5 side lengths: 5x. To find the side length, we can use the formula that sets this equal to the known perimeter:
5x = 47 1/2 . . . . . . mismatch with statement A
Statement A is false.
How to solve: 1/3 x 23,26 x 7
Answers
Answer:
54.27333333
Step-by-step explanation:
just put them all into a calculator and multiply them
1/3*23.26*7=54.27333333
Answer:
around 54.27
Step-by-step explanation:
Just multiply the numbers or change them to decimals (1/3 = 0.333 , 23.26, and 7 = 7.0)
1/3 * 23.26 * 7 = 54.273 (repeating)
7. Marcy is taking part in a summer movie club. She will
earn 3 points for each movie she attends throughout the
summer. Which equation represents the relationship
between y, the total points, and x the number of movies?
A y=3x
B. y = 3+x
C. x= 3y
D. x=y+3
Answers
Answer:
The equation that represents the relationship between 'y' the total points, and 'x' the number of movies is option A;
A y = 3·x
Step-by-step explanation:
The information required in the question is an equation that represents the the relationship between the number of movie attended and the total number of points Marcy has given that she earns a fixed amount of points for attending each movie
The number of points she will earn for attending each movie = 3 points
The total number of points she will earn 'y' when she attends 'x' number of movies is given as follows;
y = 3 + 3 + 3 + ... + 3, 'x' number of times, and we can write
[tex]y = \sum\limits_{i =1}^x 3 = 3 \times x[/tex]
Therefore the equation that represents the relationship between 'y' the total points, and 'x' the number of movies is y = 3·x.
Find mean of the following data.
X 5 10 15 20
F 3 6 3 4
25
4
Answers
Answer:
14.1
Step-by-step explanation:
Mean = sum of the items/ no. of items = ∑fx÷∑f = 705÷ 50 = 14.1