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3 years ago

6

Work out the lowest common multiple of 42 and 63

2 answers:

Tomtit [17]3 years ago

4 0

The lowest common multiple, I think is 7?

Andru [333]3 years ago

3 0

7 would be your answer if im not mistaking

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Select the postulate or theorem

Ilia_Sergeevich [38]

Answer: SAS Similarity theorem.

Explanation.

SAS stands for Side - Angle - Side.

SAS theorem states that if two triangles have corresponding angles that are congruent and corresponding sides with identical ratios, then the triangles are similar.

And that is what the figure shows:

1) The angle at M is the same for both triangles.

2) The ratios of the sides are: 2/3 and 4 /6. Given that 2/3 = 4/6 you have that the two corresponding sides have identical ratios.

7 0

3 years ago

in the figure below trianglePQM and triangleQRP are right triangles. the measure of lineQM is 6 and the measure of lineQP is 8.

Kipish [7]

Answer:

Option 4 is correct. The length of PR is 6.4 units.

Step-by-step explanation:

From the given figure it is noticed that the triangle PQR and triangle MQR.

Let the length of PR be x.

Pythagoras formula

$hypotenuse^2=base^2+perpendicular^2$

Use pythagoras formula for triangle PQM.

$PM^2=QM^2+PQ^2$

$PM^2=(6)^2+(8)^2$

$PM^2=36+64$

$PM^2=100$

$PM=10$

The value of PM is 10. The length of PR is x, so the length of MR is (10-x).

Use pythagoras formula for triangle PQR.

$PQ^2=QR^2+PR^2$

$(8)^2=QR^2+x^2$

$64-x^2=QR^2$ .....(1)

Use pythagoras formula for triangle MQR.

$MQ^2=QR^2+MR^2$

$(6)^2=QR^2+(10-x)^2$

$36=QR^2+x^2-20x+100$

$36-x^2+20x-100=QR^2$ .... (2)

From equation (1) and (2) we get

$36-x^2+20x-100=64-x^2$

$20x-64=64$

$20x=128$

$x=6.4$

Therefore length of PR is 6.4 units and option 4 is correct.

3 0

3 years ago

Briana invested $12,500 into a fund that is expected to grow by 5.25% per year. How long with it take the fund to be worth $25,0

Anastaziya [24]

The answer is C) 14 years.
Plug it in to check:
12500(1+0.0525)^14
12500(2.05) = 25,587.01 (rounded to 25000)

5 0

3 years ago

Read 2 more answers

Fine slope intercept form <br> y = x+7 (2, 3)<br> Help please and thanks

Dimas [21]

Answer:

y=x7 X 5

Step-by-step explanation:

6 0

3 years ago

You roll a six-sided die. Find the probability of each of the following scenarios

romanna [79]

Answer:

a) $1/2$

b) $5/6$

c) $2/3$

Step-by-step explanation:

a)

Rolling a number greater than 3 means you can roll a 4, 5, or 6, which contains rolling a 6. So, the probability is $(1+1+1)/6=3/6=\boxed{1/2}$

b)

Rolling a number less than 5 means you can roll a 1, 2, 3, or 4, but because you could also roll an even number, so you could also roll a 6.

So, the probability is $(1+1+1+1+1)/6=\boxed{5/6}$

c)

Rolling a 4 or an odd number means you can roll a 1, 3, 5, or 4. So, the probability is $(1+1+1+1)/6=4/6=\boxed{2/3}$

6 0

2 years ago