In the figure MN is a midsegment of JKL. Find the value of X

Answer:

Step-by-step explanation:

Question (1)

x² + 10x + 12

= x² + 2(5x) + 5² - 5² + 12

= [x² + 2(5x) + 5²] - 5² + 12

= (x + 5)² - 25 + 12 [Since, a² + 2ab + b² = (a + b)²]

= (x + 5)² - 13

Question (2)

y² - 6y - 15

= y² - 2(3y) - 15

= y² - 2(3y) + 3² - 3² - 15

= [y² - 2(3y) + 3²] - 3² - 15 [Since, a² - 2ab + b² = (a - b)²]

= (y - 3)² - 3²- 15

= (y - 3)² - 9 - 15

= (y - 3)² - 24

Answer:

14) 9.2  15) 12.9

Step-by-step explanation:

14) cos(52) = x/15

x = 15cos(52)

x = 9.2349

x = 9.2

15) cos(22) = 12/x

x = 12/cos(22)

x = 12.9424

x = 12.9

Hey there ..

In ∆PRS and ∆RPQ ,

PS=QR (given)

angle PRS =angle QPR (90°)

PR=PR (common)

therefore, ∆PRS congruent to ∆RPQ. (by RHS congruence )

Hope it helps ..and plz mark me as brainliest if u found it helpful

Answer:

12 hours

Step-by-step explanation:

50/100 x 24 = 12

Answer:

it would be 12 hours.

Step-by-step explanation:

24/2=12

Answer:

13x

Step-by-step explanation:

hope this helps

Answer:

y = 3x + 4

Step-by-step explanation:

Because $4 is your base pay, it is your y-intercept. And because it is $3 per child, then that is your slope. "x" represents how many objects/people/etc. there could be.

Answer:4   : 3

Step-by-step explanation:

32:48

8 : 6

4 : 3

Answer:

20 percent of what

Step-by-step explanation:

Answer:

9.9 feet per second

Step-by-step explanation:

y=9.5+0.4

y=9.9

Marcella's average speed in feet per seconds is,

⇒ y = 9.54 feet

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The equation which represents the line of best fit for the distance in feet) that Marcella traveled over time (in seconds) based on several races she ran is,

⇒ y = 9.50x + 0.4

Hence, Marcella's average speed in feet per seconds is,

y = 9.50x + 0.4

Put x = 1;

y = 9.50 × 1 + 0.4

y = 9.50 + 0.4

y = 9.54 feet

Thus, Marcella's average speed in feet per seconds is,

⇒ y = 9.54 feet

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Answer:

x=−5/2 y+ 3/2

Step-by-step explanation:

Let's solve for x.

2x+5y=3

Step 1: Add -5y to both sides.

2x+5y+−5y=3+−5y

2x=−5y+3

Step 2: Divide both sides by 2.

2x/2

=

−5y+3

2x=

−5y+ 3/2

Answer:

x=−5/2 y+ 3/2

Answer:

x =4 , y = -1

Step-by-step explanation:

I used substitution method.

Hope I was able to help . Good luck!

Answer:

i think it is either 31 or 15.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

pythagoras theorem.

a squared plus b squared equals hypotenuse squared

a=7

b=24

49+576=625

square root is 25

that's your answer. c=25.

Answer:

I think the answer is 18.

Answer:

Step-by-step explanation:

                 Statements                                          Reasons

1). m∠QPS = m∠TPV                                1). Given

2). m∠QPS = m∠1 + m∠3                        2). Angle addition postulate

    m∠TPV = m∠2 + m∠4                                    

3). m∠1 + m∠3 = m∠2 + m∠4                  3). Given

4). m∠1 = m∠2                                          4). Given

5). m∠1 + m∠3 = m∠2 + m∠4                  5). Subtraction property

    m∠3 = m∠4

Since there is no number in the thousandths place which would make the number in the hundredths place round up or down, we keep the number the same:

314.16

Hope it helps! Good luck. :)

Answer:

-4y=40

y=-10

x-3(-10)=17

x-30=17

x=17+30

x=47

Step-by-step explanation:

Answer:

x= 5

y= -4

Step-by-step explanation:

x= 17+3y so you substitute what you got for x in so

17 +3y +7y = -23

10y=-40

y=-4 now you put -4 in for y in the first equation

x = 17 + (3 times -4)

x = 17 - 12

x=5

Answer:

Your answer is -4

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Answer:

x = 5/3

x = -4

-Evaluate the exponent

-Multiply the numbers

-Add the numbers

-Evaluate the square root

-Multiply the numbers

Answer:

B

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

Have a great day! :)

Answer:

200

Step-by-step explanation:

When you add 100 and 100 together, the sum will be 200.

Answer:

see image

Step-by-step explanation:

Answer:

6.2x+4.3y+4.5

Step-by-step explanation:

Answer:

Explanation:

acb − (a + d)

= (-2) (-12) (3) - (-2 + -4)

Parenthesis: (-2 + -4) = -6

= (-2) (-12) (3) - (-6)

Simplify (-2) (-12) (3): 72

72 - (-6)

if a=−2 , b=3 , c=−12 , and d=−4 for expression  acb−(a+d) then its value is 78.

An expression is combination of variables, numbers and operators.

The given expression is acb−(a+d)

a times c times b minus a plus d

The values of a, b, c and d are given.

In the given expression a,b,c and d are variables and plus and minus are operators

a=−2 , b=3 , c=−12 , and d=−4 .

Substitute these values in expression acb−(a+d)

(-2)(-12)(3)-(-2+(-4))

When minus is multiplied two times we get positive, if three times we get negative

72-(-2-4)

72-(-6)

Seventy two plus six

72+6

Seventy eight

78

Hence if a=−2 , b=3 , c=−12 , and d=−4 for expression  acb−(a+d) then its value is 78.

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The number of new Fiji apple trees needed to maintain the same ratio is 40 trees.

Ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

The ratio of Fiji apple to Gala apple = 160 : 120 = 4 : 3

If 30 new gala trees are planted, hence the number of gala trees increases to 150 (120 + 30). To maintain the same ratio:

Number of fiji apple = (4/3) * 150 = 200

New Fiji apple trees = 200 - 160 = 40

The number of new Fiji apple trees needed to maintain the same ratio is 40 trees.

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Answer:

only Katie is right

Step-by-step explanation:

first, find the nth rule using the equation n = a + (n - 1)d

a = first term (here, it's 22)

n = the position of a term

d = the constant difference between each term (here, it's -5 since each term reduces by 5)

put these in and then simplify:

n = a + (n - 1)d

n = 22 + (n - 1)(-5)

n = 22 - 5n + 5

n = -5n + 27

this can be rewritten as n = 27 - 5n, which means therefore that only Katie is right. hope this helps!

Answer: Only Katie

Reason: Only Katie is correct!

Answer:

200

Step-by-step explanation:

200 × 15 = 3000

hope this helps :)

Answer:

m > 12

Step-by-step explanation:

I) Find what m is in 1/4m = 3:

1/4m = 3

Divide by 1/4:

m = 12

II) Make an inequality:

m > 12

Step-by-step explanation:

y=mx +b

b= 5

12.5= 10m+5

10m = 7.5

m= 0.75

y=0.75x +5

..........

at x= 20 , y= 20

at y= 27.5 , x= 30

at x= 40 , y= 35

Answer:

[tex]\boxed{\textsf{ Hence the percentage probability of getting a not odd is \textbf{ 50\% }.}}[/tex]

Step-by-step explanation:

Given that we roll a 6 sided dice . We need to find the probability that the outcome is not a odd number . So , when we roll a dice then the possible outcomes are ,

[tex]\sf\implies Sample\ space = \{ 1,2,3,4,5,6 \}[/tex]

And the total number of possible outcomes is 6 . That is ,

[tex]\sf\implies n(Sample \ space )= 6 [/tex]

Now the total number of non odd numbers that is even numbers is 3 ( 2 , 4 & 6) .

[tex]\sf\implies n(Outcomes_{(even)})= 3 [/tex]

Now , lets use the formula of Probability that is ,

Probability :-

[tex]\qquad\boxed{\boxed{\sf P = \dfrac{Total \ number \ of \ favourable\ outcomes }{Total \ number \ of \ possible\ outcomes }}}[/tex]

Now put on the respective values :-

[tex]\sf\implies P( getting\ a \ not \ odd ) = \dfrac{Total \ number \ of \ favourable\ outcomes }{Total \ number \ of \ possible\ outcomes } \\\\\sf\implies P( getting\ a \ not \ odd ) =\dfrac{3}{6} \\\\\sf\implies \boxed{\sf P( getting\ a \ not \ odd ) = \dfrac{1}{2} }[/tex]

[tex]\rule{200}2[/tex]

Expressing the probability as percentage :-

[tex]\sf\implies \% \ of \ getting \ non \ odd = Probability \times 100 \\\\\sf\implies \% \ of \ getting \ non \ odd = \dfrac{1}{2}\times 100 \\\\\sf\implies \boxed{\pink{\frak{ \% \ of \ getting \ non \ odd = 50\%}}}[/tex]