Q.10). ABC is a triangle right angled at C. A line through mid point M of hypotenuse AB and parallel to BC intersects AC at D.
Show that:
(I) D is the mid point of AC.
(ii) MD ⏊ AC.
(iii) CM = MA = 1/2 AB​

Answer:

a = - 5/3

Step-by-step explanation:

Answer:

-11/16

Step-by-step explanation:

1) Find the Least Common Denominator (LCD) of [tex]\frac{15}{32} ,\frac{7}{31}[/tex] In other words, find the Least Common Multiple (LCM) of 32,31.

Method 1: By Listing Multiples

1. List the multiples of each number.

Multiples of 32: 31,64,96,... 928, 960 ,992,...

Multiples of 31: 31, 62, 93 , ... , 930, 961 , 992, ...

Find the smallest number that is shared by all rows above. This is the LCM.

LCM = 992

Method 2: By Prime Factors

1. List the prime factors of each number.

Prime Factors of 32: 2,2,2,2,2

Prime Factors of 31: 31

2.  Find the union of these primes.

2,2,2,2,2,31

3. Multiply these numbers: 2 * 2 * 2 * 2 * 2 * 31 = 992. This is the LCM.

LCM = 992

2) Make the denominators the same as the LCD.

[tex]-\frac{15*31}{32*31} +\frac{7*32}{31*32}[/tex]

3) Simplify. Denominators are now the same.

[tex]-\frac{465}{992} +\frac{224}{992}[/tex]

4) Join the denominators.

[tex]\frac{-465+224}{992}[/tex]

5) Simplify

[tex]-\frac{241}{992}[/tex]

Decimal Form: -0.242944

Answer:

The numbers can be 2,4,6,8,0

Step-by-step explanation:

Apparently, using these numbers, the last 3 digits become divisible with 8. Therefore, 2,4,6,8,0 is the numbers that can fit in the hundredth's place.

Hoped this helped.

Answer:

56/100

Step-by-step explanation:

The decimal place has 2 digits which indicates two zeros. So the denominator will be 100. And 56 will become the numerator.

Answer:

20000

Step-by-step explanation:

Answer:

20000

Step-by-step explanation:

Answer:

8(3x + 1)

Step-by-step explanation:

8 and 24 are multiples of 8

(8/8) + (24x/8) = 1 + 3x

The equation with distributive property is 8(1 + 3x)

-Chetan K

Answer:

Integration is the act of bringing together smaller components into a single system that functions as one. These links usually are established between the components of the process and control layer of each system to promote the free flow of data across systems.

Answer:

Integration is the action or process of integrating.

Step-by-step explanation:

Answer:

5/10 or 1/2 is the answer I think

Answer:

[tex]p = - 5 {x}^{2} + 1000x + 5000 \\ 5500000 = - 5 {x}^{2} + 1000x + 5000 \\[/tex]

solve for x

Step-by-step explanation:

55,000,00=-5x²+1000x+5000

collect like terms

5x²-1000x= -55,000,00+5000

5x²-1000x = -45000

x²=-45000/5=-9000

x²=square root of 9000=3000

recall

5x²-1000x=3000

-1000x=3000

divide both side by coefficient of x

x= -3

Answer:

Too tired to go into detail so I just showed steps

Step-by-step explanation:

5mi = 8km ~~ Original

5/8mi = 1km ~~ Get 1km isolated

250/8mi = 50km ~~ Get 50km now

Answer:

$47.50

Step-by-step explanation:

75 times 30 is 2,250, so then we put back the decimal and its 22.50, add that to 25.00, your answer is 47.50

Answer:

d.

took the test

Step-by-step explanation:

Answer:

thanks for the points new comer you will get use to it

Answer:

5. w ≠ 8

Step-by-step explanation:

#1 is the expression for "The amount of water is greater than eight ounces."  This technically means it differs from eight ounces, but it's too specific for what the question is asking.

#2 is the expression for "The amount of water is greater than or equal to eight ounces." It doesn't necessarily differ from eight ounces.

#3 is the expression for "The amount of water is less than eight ounces."  Same issue as #1.

#4 is the expression for "The amount of water is greater than eight ounces."  Same issue as #2.

#5 is the expression for "The amount of water is not equal to eight ounces." This is the correct expression as the only information we know is that it's not eight ounces.

Answer:

117 units

Step-by-step explanation:

Step-by-step explanation:

y = 4x + 3

subtract 3 on both sides of equation

y - 3 = 4x + 3 - 3

y - 3 = 4x

divide the equation by 4 on both sides

\frac{y - 3}{4} = \frac{4x}{4}4y−3=44x

x = \frac{y - 3}{4}4y−3

DONE.

Answer:

5/10

Step-by-step explanation:

1/2 = 2/4 = 3/6 = 4/8 = 5/10

5/10

Answer:

5

Step-by-step explanation

multiply numerator and denominator with constant. 2*5 is 10, so 1*5=5, hence, 5/10

Answer:

1.A

2.D

3.B

4.C

5.D

6.A

7.C

8.C

9.D

Step-by-step explanation:

Answer:

15 very simple

Step-by-step explanation:

im always right

Answer:

170 kg. of parsnips are left

Step-by-step explanation:

Given:

850 kg. of parsnips

30 % to the local market

50 % to a local supermarket

Solution:

First, add the two percentages.

30 + 50 = 80%

That means 80 % of parsnips mass go to the markets.

Now let's find the mass of delivered parsnips.

Change 80% to decimal form.

80% = 0.8

Now multiply it by 850 kg.

850 x 0.8 = 680

The delivered parsnips mass is 680 kg.

Now to find the mass of parsnips left, subtract 680 to 850

850 - 680 = 170 kg.

170kg. of parsnips are left.

Answer:

f(x) = 16*(3/2)^(x-1)

Step-by-step explanation:

See attachment.

Answer:

B

Step-by-step explanation:

Answer:

135

Step-by-step explanation:

27 x 5 =135

Answer:

1 stamp = $0.51

Step-by-step explanation:

20 stamps = $10.20

=> 1 stamp = 10.20/20

=> 1 stamp = $0.51

Hoped this helped.

Answer:

the answer is 100.

Step-by-step explanation:

divide 1000 by 10

The number of boxes required to hold 1000 cans is 100 bags.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, every Monday each student brings in a bag with 10 cans.

They put 10 bags into a box.

So, number of boxes required to hold 1000 cans

= 1000/10

= 100 bags

Therefore, the number of boxes required to hold 1000 cans is 100 bags.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

Step-by-step explanation:

(a○b)(x) is the same as a(b(x)).

it is really that simple.

first you calculate the result of the inner function, and then that result is the input for the outer function.

that's it.

so,

(w○u)(2) = w(u(2))

u(2) = -2 -1 = -3

w(-3) = 2×(-3)² + 1 = 2×9 + 1 = 19

so, 19 is the first answer.

(u○w)(2) = u(w(2))

w(2) = 2×2² + 1 = 2×4 + 1 = 9

u(9) = -9 - 1 = -10

so, -10 is the second answer.

Answer:

if a joke i dont know

Answer:

1. 180°

2. m∠AOB

3. 60° + 90 ° + 30 ° = 180 °

4. x = 15

Step-by-step explanation:

Reason for number 1:

All straight lines are 180°

Reason for number 2:

These angles all add up to 180° and the line with this angle is m∠AOB.

Answer:

F because you cannot prove that any of the angles are the same with only one set of parallel lines

Answer:

Step-by-step explanation:

[tex](-1)^{n} = -1 , if \ n \ is \ a \ odd \ integer\\\\\\\\(-1)^{2003} =-1 \\\\(\dfrac{-3}{4)}^{2}=\dfrac{3}{4}, \ as \ 2 \ is \ even \ number.\\\\(\dfrac{2}{3})^{3}*(\dfrac{-3}{4})^{2}*(-1)^{2003}=\dfrac{2^{3}}{3^{3}}*\dfrac{3^{2}}{4^{2}}*(-1)\\\\\\=\dfrac{2^{3}}{3^{3}}*\dfrac{3^{2}}{2^{4}}*(-1)\\\\\\=\dfrac{-1}{3^{3-2}*2^{4-3}}\\\\\\=\dfrac{-1}{3^{1}*2^{1}}\\\\=\dfrac{-1}{6}[/tex]

[tex](\dfrac{2}{5})^{2}*(\dfrac{-5}{12})^{3}=\dfrac{2^{2}}{5^{2}}*\dfrac{(-5)^{3}}{(2^{2}*3)^{3}}\\\\\\=\dfrac{2^{2}}{5^{2}}*\dfrac{- 5^{3}}{2^{6}*3^{3}}\\\\\\= -\dfrac{5^{3-2}}{2^{6-2}*3^{3}}\\\\\\= -\dfrac{5}{2^{4}3^{3}}\\\\= -\dfrac{5}{16*3}\\\\\\= \dfrac{-5}{48}[/tex][tex]HINT: \dfrac{a^{m}}{a^{n}}=a^{m-n}, m >n\\\\\\\dfrac{a^{m}}{a^{n}}=\dfrac{1}{a^{n-m}}, n >m\\\\\\(a^{m})^{n}=a^{m*n}[/tex]