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:

Can anyone agree this image is blurry? Can you send it again but not blurry this time? Sorry!

Step-by-step explanation:

Step-by-step explanation:

Root of the function, where y = 0

f(x) = x² + 2x - 1

0 = x² + 2x - 1

x² + 2x - 1 = 0

x² + 2x = 1

x² + 2x + 1 = 1 + 1

(x + 1)² = 2

x + 1 = ±√2

x = -1 ± √2

Roots → x = -1 ± √2

Answer:

6 inches

Step-by-step explanation:

25/15 = 10/6

:))

Answer:

6in.

Step-by-step explanation:

Step-by-step explanation:

according to angle sum property of triangle

sum of all 3 angles of triangle is 180°

and here it is given that the Pentagon is divided in 3 triangles,

now,

3×180 = 540°

therefore, option C 540° is correct

hope this answer helps you dear! take care

Answer:

540

Step-by-step explanation:

Each triangle only has 180 degrees

We have 3 triangle, 180 + 180 + 180 = 540 degrees

we have cos135° = -√2/2

so B is the correct answer

ok done. Thank to me :>

Answer: T=16 ± 0.12 ° CA Aw

Step-by-step explanation:

Answer:Arms: 6 – 8 sets per week. Core: 10 – 12 sets per week. These set guidelines are a really good starting point for building muscle after 50. Remember, more is not always better

Step-by-step explanation:

Answer:

Step-by-step explanation:

50.594

204.3251

47.1138

Answer:

Step-by-step explanation:

Aaliyah wants her accumulated points to be at least 125. Her accumulated points will be ...

  (reward points) + (visit points)×(number of visits)

  30 +12.5v ≥ 125 . . . . . the inequality

__

  12.5v ≥ 95 . . . . . . . subtract 30

  v ≥ 7.6 . . . . . . . . divide by 12.5; the solution to the inequality

Aaliyah will need to make 8 visits to earn her first free ticket.

Answer:

Step-by-step explanation:

Parking charge for 2 hours = $ 9

Parking charge for 1 hour = 9/2 = $ 4.50

c = 4.50*p

c = 4.5p

9514 1404 393

Answer:

  (d)  The y-intercept of the graph of the relationship is ( 0, 1).

Step-by-step explanation:

The y-intercept of a proportional relation is always zero. If it is 1, the relationship must be non-proportional.

Answer:

d.

took the test

Step-by-step explanation:

Answer:

3/7*2 5/6= 17/14 = 1 3/14 ≅ 1.2142857

Step-by-step explanation:

Conversion a mixed number 2 5/6 to a improper fraction: 2 5/6 = 2 5/6 = 2 ·6+ 5/6 = 12 + 5/6 = 17/6 1) Multiply the whole number 2 by the denominator 6. Whole number 2 equally 2 * 6/6 = 12/6

2) Add the answer from previous step 12 to the numerator 5. New numerator is 12 + 5 = 17

3) Write a previous answer (new numerator 17) over the denominator 6.

Two and five-sixths is seventeen sixths Multiple: 3/7 * 17/6 = 3 · 17/7 · 6 = 51/42

= 17 · 3/14 · 3 = 17/14. then you simplify.

I hope this helps

Answer:

your answer would be 31.4 :)

Step-by-step explanation:

Answer:

x=28

Step-by-step explanation:

So first slove for the right angle triangle

a²+b²=c²

a=12 and c=15

12²+b²=15²

144+b²=225

b²=225-144

b²=81

b=√81

b=9

so now that you know the top two sides add 10 due to the lenght given on the bottom

9+10+9=28

Answer:

Yes, the point (4,10) satisfies the inequality.

Step-by-step explanation:

In order to answer this question, we can plug the values x = 4 and y = 10 into the inequality:

y ≥ 2x + 2

10 ≥ 2(4) + 2

Then solve:

10 ≥ 8 + 2

10 ≥ 10

Since the value 10 is greater than or equal to itself, the inequality is true at the point (4,10).

Answer: 0.6 Liters of powdered milk can produce 60 cups of milk.

Explanation: 120 grams of powdered milk makes 12 cups of milk. 120 divided by 12 is 10. 60 times 10 is 600. So 600 grams of powdered milk to make 60 cups of milk. That is equal to 0.6 kilograms and that is equal to 0.6 liters.

Answer:

The perfect square lockers are the only ones left open.

Step-by-step explanation:

Here is a legit link to an explanation of this old puzzle problem!

https://36university.com/act-math-locker-problem-solution/

Quoting from that page:

Method 2: Who Touches Which Lockers

Identifying which students touch which lockers is a little less of a brute-force approach and would likely have gotten you to the solution a little more quickly.

Here’s what I mean:

Consider locker #1. The only student who touches locker #1 is student #1. Student 1 opens the locker, and since no one else touches it, it will be left open at the end.

Consider locker #2. Student 1 opens the locker, and student 2 closes it. No one else touches the locker, so it will be closed.

Consider locker #10. Students 1 opens the locker. Student 2 closes it. Students 3 and 4 skip right by it. Student 5 opens it. Students 6, 7, 8, and 9 skip right by it. And student 10 closes it. Locker #10 will be closed.

Mental Milestone 1: After looking at several lockers, you should notice that lockers are only changed by student numbers that are factors of the locker number. In other words, locker 12 is changed by students 1, 2, 3, 4, 6, and 12.

Mental Milestone 2: You should also have noticed that factors always come in pairs. This means that for every student who opens a locker, there is another student who closes it. For locker #12, student 1 opens it, but student 12 closes it later. Student 2 opens it, but student 6 closes it later. Student 3 opens it, but student 4 closes it later.

By this logic, every locker would be closed.

But there are exceptions!

Consider locker #25. Student 1 opens it. Student 5 closes it. Student 25 opens it. The locker will be left open, but why? In this case, the factors do not come in pairs. One and 25 are a pair, but five times five is also 25. Five only counts as one factor. This causes the open-close pattern to be thrown off. Locker #25 is left open.

Mental Milestone 3: When factors don’t come in pairs, the locker will be left open. And factors don’t come in pairs when numbers are multiplied by themselves. Perfect squares (1, 4, 9, 16, 25, 36, 49, 64, 81, 100,…) are the only numbers whose factors don’t come in pairs because one set of factors, the square root, is multiplied by itself. This means that only perfect square lockers will be left open.

Locker #s 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100 are left open!

Answer:

  0

Step-by-step explanation:

The slope of D street on this graph is "undefined." A perpendicular will have a slope that is zero. That is, D is a vertical line on the map, so the perpendicular will be a horizontal line.

The slope of the new road should be zero.

[tex]2x = \frac{x+2}{2} => 4x = x + 2 => 3x = 2 => x = 2/3[/tex]

ok done. Thank to me :>

Answer:

£40 : £24

Step-by-step explanation:

sum the parts of the ratio, 5 + 3 = 8 parts

Divide the amount by 8 to find the value of one part of the ratio

£64 ÷ 8 = £8 , then

5 parts = 5 × £8 = £40

3 parts = 3 × £8 = £24

£64 in the ratio 5 : 3 is £40 : £24

Answer:

24:40

Step-by-step explanation:

Let the ratio be 3x and 5x

3x+5x=64

8x=64

X=8

ratio=3(8):5(8)

24:40

Answer:

1.) 38.2

2.) -62.8

4.) -38.2

Answer:

The area of a rectangle is the length multiplied by its breadth.

Since the length is [tex]3(n-1)[/tex] and the breadth is [tex]n+2[/tex] and the area is 54, you can form an equation as followed:

[tex]3(n-1)*n+2=54[/tex]

[tex]3n(n-1)+2=54[/tex]

Expand:

[tex](3n*n)-(3n*1)+2=54[/tex]

[tex]3n^2-3n+2=54[/tex]

Subtract both sides by 54:

[tex]3n^2-3n+2-54=54-54[/tex]

[tex]3n^2-3n-52=0[/tex]

Answer:

4000 mg

Step-by-step explanation:

4grams · 1000 = 4000 milligrams

Answer:

4000 mg

Step-by-step explanation:

Answer:

4(2x + 3) - x = 7x + 12

Explanation:

That's what T4L/Edge said

Answer:

You should use 3 1/5 cups of sugar.

Step-by-step explanation:

Answer:

[tex]m=\frac{4}{5}[/tex]

Step-by-step explanation:

You can calculate the slope with just 2 points, so find 2 points on the line that land perfectly on the grid.

I'll use (-2, 0) and (3, 4) here

To calculate slope:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

where (x1, y1) is your first point and (x2, y2) is your second. Technically they can go in any order, but I think its generally easier to consider first-to-last as left-to-right.

Plug in those 2 points and solve:

[tex]m=\frac{4-0}{3--2}\\m=\frac{4}{5}[/tex]

Think of slope as rise over run. A slope of [tex]\frac{4}{5}[/tex] means it rises 4, and goes over 5. It's also literally rise over run, as the top number (rise) is over the bottom number (run).