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3 years ago

If the mLD = 3x - 8 and mZL = 2x + 17, find the value of x that would make ZDE ZL.

Mathematics

1 answer:

lys-0071 [83]3 years ago

3 0

Answer:

x = 25

Step-by-step explanation:

For ∠ D and ∠ L to be congruent, then

3x - 8 = 2x + 17 ( subtract 2x from both sides )

x - 8 = 17 ( add 8 to both sides )

x = 25

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How do you find percent of a number mentally

olga55 [171]

It isn't easy really but you can always divide the number out. For example 50% of 200 is 100 by dividing 200 by 2 or 25% of 100 is 25 by dividing 100 by 4 since 25% is equivalent to 1/4

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3 years ago

Read 2 more answers

In a game of poker a hand of five cards is dealt to each player from a deck of 52 cards. find the probablility of a hand contain

aalyn [17]

Answer:

0.00597

Step-by-step explanation:

Given,

Total number of cards = 52,

In which flush cards = 20,

Also, the number of spade flush cards = 5,

Since,

$\text{Probability}=\frac{\text{Favourable outcomes}}{\text{Total outcomes}}$

Thus, the probability of a hand containing a spade flush, if each player has 5 cards

$=\frac{\text{Ways of selecting a spade flush card}}{\text{Total ways of selecting five cards}}$

$=\frac{^{20}C_5}{^{52}C_5}$

$=\frac{\frac{20!}{5!15!}}{\frac{52!}{5!47!}}$

$=\frac{15504}{2598960}$

= 0.00597

7 0

3 years ago

Consider the function f ( x ) = − 2 x 3 + 27 x 2 − 108 x + 9 . For this function there are three important open intervals: ( − [

Darya [45]

Answer:

A=3 and B=6

Step-by-step explanation:

Increasing and Decreasing Intervals of Functions

Given f(x) as a real function and f'(x) its first derivative.

If f'(a)>0 the function is increasing in x=a

If f'(a)<0 the function is decreasing in x=a

If f'(a)=0 the function has a critical point in x=a

As we can see, the critical points may define open intervals where the function has different behaviors.

We have

$f ( x ) = - 2 x^3 + 27 x^2 - 108 x + 9$

Computing the first derivative:

$f' ( x ) = - 6 x^3 + 54 x - 108$

We find the critical points equating f'(x) to zero

$- 6 x^3 + 54 x - 108=0$

Simplifying by -6

$x^2 -9 x +18=0$

We get the critical points

$x=3,\ x=6$

They define the following intervals

$(-\infty,3),\ (3,6),\ (6,+\infty)$

Thus A=3 and B=6

3 0

3 years ago

Natalie had 64 beads. She used 24 beads to make a bracelet. She used 7/8 of the remaining beads to make a necklace. How many bea

Eddi Din [679]

Answer:

Natalie have left with 5 beads.

Step-by-step explanation:

Given:

Natalie had 64 beads. She used 24 beads to make a bracelet. She used 7/8 of the remaining beads to make a necklace.

Now, to find the beads does Natalie have left.

Total beads Natalie had = 64 beads.

And beads she used to make a bracelet = 24 beads.

So, the remaining beads are = $64-24=40\ beads.$

Now, the beads she used to make a necklace = $40 of \frac{7}{8}$

= $40\times \frac{7}{8}$

= $\frac{280}{8}$

= $35\ beads$

Hence, the beads Natalie have left = remaining beads - beads used to make necklace.

$The\ beads\ Natalie\ have\ left\ =\ 40-35$

$The\ beads\ Natalie\ have\ left\ =\ 5\ beads.$

Therefore, Natalie have left with 5 beads.

8 0

3 years ago

18.

Andru [333]

Answer:

E. 19

Step-by-step explanation:

z = (5)(11)(2·2·7)(2·19)

z = 2³·5·7·11·19

The greatest prime factor is 19.

4 0

3 years ago