Because LP and NP are the same measure, that means that MP is a bisector. It bisects side LN and it also bisects angle LMN. Where MP meets LN creates right angles. What we have then thus far is that angle LMP is congruent to angle NMP and that angle LPM is congruent to angle NPM and of course MP is congruent to itself by the reflexive property. Therefore, triangle LPM is congruent to triangle NMP and side LM is congruent to side NM by CPCTC. Side LM measures 11.

3 0

3 years ago

Two numbers have these properties both numbers are greater than 6 their highst common factor is 6 there lowest common factor is

levacccp [35]

Answer:

The two numbers are 12 and 30

Step-by-step explanation:

Both numbers are greater than 6

Their HCF is 6 and their LCM is 60.

A possible guess of the two numbers will be 6 and 60, which were given in the question, because they satisfy this HCF and LCM values, but the question also tells us that both numbers are greater than 6.

Now, we will obtain the answer using what we have.

Since the HCF is 6, that means that both numbers that we seek are a multiple of 6.

Next, the LCM is 60. We can divide the LCM by the HCF, that is $\frac{60}{6}$ = 10

This tells us that the two numbers are within 6 and (6 × 10).

Next we write out the factors of the 10 that we got by dividing the LCM by the HCF.

Factors of 10 are: 1, 2, 5 and 10.

We multiply each of this by 6 (which is the HCF, recall that we had said that HCF means that the numbers are a multiple of 6), to get the numbers; <em>6, 12, 30 and 60</em>

Since 6 and 60 are already the given LCM and HCF, the two numbers that we seek are 12 and 30.

4 0

3 years ago

Find the slope on the coordinate plane (slope is rise/run).

MatroZZZ [7]

Answer:

-4/2 or -2/1

Step-by-step explanation:

the second answer is just simplified

3 0

3 years ago

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