Find the HCF and LCM of 160 and 252 by prime factorisation method and verify that HCF x LCM = Product of the two given numbers.

Answer:

See below :)

Step-by-step explanation:

We know that these traingles are all similar. We can see the angle NMK is 60 degrees so we also know that JNK is 60 degrees. Now we know that all of the triangles are 30-60-90 triangles. JN is 3, so from the "leg opposite to 30 degree theorem", we know that NK is two times JN which is 6. Then from the same theorem, we know that NM is NK divided by the square root of 3

[tex]\frac{6}{\sqrt3}[/tex]

We can't have fractions that have irrational numbers in the denominator of a fraction so we multiply it by root3 over root3

[tex]\frac{6}{\sqrt3}[/tex] * [tex]\frac{\sqrt3}{\sqrt3}[/tex]

This then makes it 6 times root 3 over 3

[tex]\frac{6\sqrt3}{3}[/tex]

We then get [tex]2\sqrt{3}[/tex]

Answer:

its 1

Step-by-step explanation:

1/1=1

The value of k is proved to be -8

The equation is given as

-4k + 2(5k - 6) = 3k - 36

Open the bracket in the above equation

So, we have

-4k + 10k - 12 = 3k - 36

Collect the like terms in the above equation

So, we have

-4k + 10k - 3k = 12 - 36

Evaluate the like terms in the above equation

So, we have

3k = -24

Divide both sides of the above equation by 3

So, we have

k = -8

Hence, the value of k is proved to be -8

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Answer:

9/7

Step-by-step explanation:

-24/35 ÷ -8/15

=-24/35 × -15/8

=9/7

Answer:

9/7

Step-by-step explanation:

when dividing with a fraction, the -8/15 reciprocates to 15/-8. Then, -8 cancels out -24 remaining with 3 since they are both negative while 15 and 35 have a common of 5 giving them a remainder of 3 and 7 respectively. you then multiply what you have which is 3/7 * 3/1 giving you 9/7.

Answer:

12

Step-by-step explanation:

Let's list what we know.

We know 6 + d is the same as 21

We can use this.

6+d=21

Subtract 6 from both sides

d=15

So d=15

Answer:

21-6=15

Step-by-step explanation:

That helps weigh it down

Answer:

1/2

Step-by-step explanation:

When you have two points you need to use the slope formula:

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_1}[/tex]

x1 and y1 is the first point and x2 and y2 is the second point, remember that the first number is X and the other is Y so...

[tex]m=\frac{5-4}{3-1} \\m=\frac{1}{2}[/tex]

1/2 is the slope of the points

Answer:

X 2 + Y 2 − 6 x + 8 y = 7

Step-by-step explanation:

Step-by-step explanation:

What I Have Learned?

Part 1

Direction. Determine whether each system of linear equations is consistent and

dependent, consistent and independent, or inconsistent. Answer on the

separate sheet

(2x+y = 3

12x + y = 6

3.

(6x-27=

2y 8

ly=3x – 4

1.

4.

3x + y = 10

4x + y - 7

(3x + 5y = 15

14x - 7y = 10

2.

1

Answer:

4/3

Step-by-step explanation:

Using proportions, the amount of acres that each children will be is given by:

9 and 4/5 acres.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For this problem 49 acres will be split evenly across 5 children, hence the amount that each will get is:

A = 49/5.

The quotient of 49 and 5 is of 9 with a remainder of 4, hence as a mixed number, the amount is:

9 and 4/5 acres.

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Answer:

step 2

Step-by-step explanation:

Mark didnt do 5×5

Answer: 82:73

Step-by-step explanation:

To find an equal ratio, you can either multiply or divide each term in the ratio by the same number (but not zero). For example, if we divide both terms in the ratio 3:6 by the number three, then we get the equal ratio, 1:2. Do you see that these ratios both represent the same comparison?

Answer:

13 cups

Step-by-step explanation:

1.5 pint=  3 cups

8 fluid ounces = 1 cup

4 bottles of milk with 1.5 pint each= 3x 4= 12 cup

8 fluid ounces of strawberry syrup= 1 cup

12+1=13 cups

Answer:

500,000,000,000,000,000,000

Step-by-step explanation:

Answer:

C (x = 2)

Step-by-step explanation:

Since x is a non-negative number, A and B are eliminated.

This leaves C and D.

C: x = 2,

2 + 3 < 2^2

5 < 4 is false.

So C would be a counterexample.

Hope this helps!

The value of x is a counterexample to the student's conjecture (x = 2). The correct option is C.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that x is a non-negative number, a student conjectured that x + 3 < x².

Since x is a non-negative number, A and B are eliminated.

This leaves C and D at the value of x = 2,

2 + 3 < 2²

5 < 4 is false.

Therefore, the value of x is a counterexample to the student's conjecture (x = 2). The correct option is C.

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Answer:

<1 = <5 ( because it is a corresponding angle and corresponding angles are always equal )

hope this answer will help you

have a great time

Answer:

The corresponding angles

Step-by-step explanation:

A proof for angle1=angle5

<1=<5

this rule is called

The corresponding angles

when 2 lines are crossed by another line this line is called transversal

when 2 lines are both parallel corresponding angles are congruent.

If two corresponding angles are congruent, then the two lines cut by the transversal must be parallel. Meaning If <1=<5 then, n||p

I put out a pdf to help you out

Brainliest please.

4x - (x + 1) < 5x - 7

4x - x - 1) < 5x - 7

3x - 5x < -7 + 1

-2x < -6

2x > 6

x > 3

Answer:

its a and d

Step-by-step explanation:

70+4+.05+.002

Answer:

$0.185

Step-by-step explanation:

since there are 2000 pounds in a ton, this isn't really possible. But the number is correct.

When the non-refundable fee increases to $15, the y-intercept is also increased to 15. The graph are parallel to each other but only touches the y-axis at 10 and 15 respectively

Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable. A linear equation can have more than one variable.

Linear equations are generally represented in the form

y = mx + c

The y-intercept is the point at which the graph touches the y - axis

In the question, we are given an equation f(h) = 8h + 10

The slope and y - intercept here are 8 and 10 respectively.

However, when the non-refundable deposit is increased to 15, the y - intercept is increase by 5 units to becomes 15.

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