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Ksivusya [100]
3 years ago
10

What is the value of x in the diagram?

Mathematics
1 answer:
cestrela7 [59]3 years ago
5 0

Answer:

x = 5

Step-by-step explanation:

x² + (2x+2)² = (2x+3)²

x² + 4x² + 8x + 4 = 4x² + 12x + 9

x² - 4x - 5 = 0

(x - 5)(x + 1) = 0

x = -1  This can be discounted as the answer because you cannot have a negative length

answer: x = 5

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Leslie invests $2500 in a savings account for 10 years. The account accrues interest at a rate
sveta [45]

Answer:

You make $32,000 a year and want to save 10% of your income every year. How much should you put into savings every month?

$32$,000 x 0.10 = 3,200

You want to save $3200 a year.

You should be saving $266.67 a month or $133.33 a paycheck if you are paid

Step-by-step explanation:

7 0
3 years ago
Someone help me determine whether the statement is true or false
enyata [817]

Answer:

The Statement D⊆B  is False.

Step-by-step explanation:

Given:

A = {1, 3, 5, 7 }

B = {5, 6, 7, 8}

C = {5, 8}

D = {2, 5, 8}

U = {1, 2, 3, 4, 5, 6, 7, 8}

To Check:

D⊆B = True or False

Solution:

The sign '⊆' symbolize  SUBSET

So D⊆B means D is the Sub Set of B

That means All the element of Set D must be there in the SET of B Then it comes True.

Or else it is False

D = {2, 5, 8}

B = {5, 6, 7, 8}

Therefore D⊆B is a FALSE statement

For it to be TRUE we must have set B as

D = {2, 5, 8}

B = {2,5, 6, 7, 8}

Now D⊆B is a TRUE statement

4 0
4 years ago
Assume that X is Normal with mean $ 240 and standard deviation $60 . the probability that , in a randomly selected week , Dan wi
enyata [817]

Answer:

The probability of Dan making less than $255 is 0.5987 or 59.87%

Step-by-step explanation:

Given that:

Mean = μ = $240

SD = σ = $60

We have to find the probability that Dan will make less than $255

First of all, we have to find the z-score of 255

z-score is denoted by z and is given by the formula

z = \frac{x-mean}{SD}

Here,

x = 255

Putting the values

z = \frac{255-240}{60}\\z = \frac{15}{60}\\z = 0.25

Now we have to look at the z-score table to find the probability of 0.25

P(x<255) = 0.5987

Converting into percentage

59.87%

Hence,

The probability of Dan making less than $255 is 0.5987 or 59.87%

3 0
3 years ago
When you divide a whole number by a decimal less than 1, the quotient is greater than the whole number. why?
Viktor [21]
Well if you get back to the definition of a division, diving X by Y is finding out how many Ys you can have in a X.

It is clear that you will have more than X times Y if Y is less than 1 since dividing X by 1 is exactly X.

If you think of 10 and 1, you can divide 10 in exactly 10 portions of 1.
But you can divide it into 100 portions of 0,1.
And 100 is bigger than 10 of course.
Hope this helps.
4 0
3 years ago
Read 2 more answers
Help please if u can answer!:)
pentagon [3]

Answer:

ANGLE K IS 75 DEGREES

All the interior angles of a triangle ADD up to 180 degrees

lets add the angles!

6x-11+8x-29+3x-1

add like terms. all the x terms add up and all the constants as well

8x+6x+3x = 17x

-29-1-11 = -41

17x-41= 180 (-41 + 41 = 0 we do this to remove -41 from the left side of the equation to isolate x)

41+180 = 221

17x=221

221/17 = 13

x=13

so..

8 * 13 - 29 is the angle..

8*13 = 104

and 104-29 = 75

Angle K is 75 degrees! hope that helps..

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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