Which pair of triangles can be proven congruent by the HL theorem?
DA
40 Intro
A

The expression is equivalent to 1/3(9x + 12) + 4x + 6 will be 7x + 10. Then the correct option is B.

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ 1/3(9x + 12) + 4x + 6

Simplify the expression, then we have

⇒ 1/3(9x + 12) + 4x + 6

⇒ 3x + 4 + 4x + 6

⇒ 7x + 10

The expression is equivalent to 1/3(9x + 12) + 4x + 6 will be 7x + 10. Then the correct option is B.

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Answer: 65

Step-by-step explanation: VT•5= v’T’

13•5= V’T’ 13•5=65

Correct answer is D. For the numerical equation, If m = 8 and n = 4, all of the following represent the same value except mn.

Numbers and their operations are used to represent a numerical equation. Statements can also be used to create mathematical expressions.

On calculating, the following values,

If m = 8 and n = 4;

For 1/2m, the value will be -

1/2 × 8 = 4                                                    .......(1)

For n/1 the value will be -

4/1 = 4                                                          .......(2)

For m-n the value will be -

8 - 4 = 4                                                       .......(3)

For mn, the value will be -

8 × 4 = 32                                                     ......(4)

From (1), (2), (3), (4) it can be seen that the value is same instead for mn.

Complete question -

If m = 8 and n = 4, all of the following represent the same value except _____.

1/2 m

n/1

m-n

mn

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Answer:

b^20/a^12

Step-by-step explanation:

b to the power of 20 over a to the power of 12

The equation of the circle with radius 9 and center ( -1,-8 ) is( x + 1 )² + ( y + 8  )² = 81.

The standard form equation of a circle with center (h, k) and radius r is:

( x - h )² + ( y - k )² = r²

Given that the circle has a center of (-1, -8) and the radius is 9.

Hence; from the standard form of the equation of the circle:

Center ( h , k ) = ( -1, -8 )

h = -1

k = -8

And radius r = 9

Plug these values into the above formula and simplify.

( x - h )² + ( y - k )² = r²

( x - ( -1 ) )² + ( y - ( -8 ) )² = 9²

Simplify

( x + 1 )² + ( y + 8  )² = 81

Therefore, the equation of the circle is ( x + 1 )² + ( y + 8  )² = 81.

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b = speed of the boat in still water

c = speed of the current

when going Upstream, the boat is not really going "b" fast, is really going slower, is going "b - c", because the current is subtracting speed from it, likewise, when going Downstream the boat is not going "b" fast, is really going faster, is going "b + c", because the current is adding its speed to it.

Now, the boat goes Upstream 48 miles, so Downstream must be travelling the same 48 miles back.

\({\Large \begin{array}{llll} \underset{distance}{d}=\underset{rate}{r} \stackrel{time}{t} \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Upstream&48&b-c&3\\ Downstream&48&b+c&2 \end{array}\hspace{5em} \begin{cases} 48=(b-c)(3)\\\\ 48=(b+c)(2) \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{using the 1st equation}}{48=(b-c)3}\implies \cfrac{48}{3}=b-c\implies 16=b-c\implies \boxed{16+c=b} \\\\\\ \stackrel{\textit{using the 2nd equation}}{48=(b+c)2}\implies \cfrac{48}{2}=b+c\implies 24=b+c\implies \stackrel{\textit{substituting}}{24=(16+c)+c} \\\\\\ 24=16+2c\implies 8=2c\implies \cfrac{8}{4}=c\implies \boxed{2=c}~\hfill~\stackrel{ 16~~ + ~~2 }{\boxed{b=18}}\)

Answer:

B) Years of drought and no rain

Step-by-step explanation:

What circumstances conspired to cause the Dust Bowl? Economic depression coupled with extended drought, unusually high temperatures, poor agricultural practices, and the resulting wind erosion all contributed to making the Dust Bowl. The seeds of the Dust Bowl may have been sowed during the early 1920s.

Based on the information we can infer that 5/8 between 6 people is equal to 15/24.

To calculate the part that corresponds to each person, divide the fraction 5/8 by the number of people, which in this case is 6. To simplify the fraction, you can reduce the numerator and denominator by dividing both by their maximum common factor, which is 3.

5 ÷ 3 = 1 and 2 remainder8 ÷ 3 = 2 and 2 remainder

So the fraction can be simplified to 1 2/8, which can also be expressed as 1 1/4 or 5/4 in its most simplified form. This means that each person would receive 5/4 of the original share, and since there are 6 people in total, you can multiply 5/4 by 6 to get the total share that corresponds to all 6 people:

(5/4) x 6 = 30/4 = 15/2 = 15/24

So each person would receive 15/24 of the original amount.

Note: Here is the question in English:

5/8 divided in 6 people

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Answer:

40 cm

Step-by-step explanation:

Answer:

9t +7 = 0

t-1 =0

solve for both giving

t = -7/9

t = 1

then we have to plug that back in to u which is x^2

so x^2 = (-7/9)^2 = -1

x^2 = 1

if any doubt leave a comment

Answer:

50 C = 122 F

Step-by-step explanation:

50°C × 9/5 +32

There are 5 consecutive odd nos.

To find : no . of terms in a series of consecutive nos .

To proceed ,

Let the series start from 7 which is an odd numbers [we can start the series from any odd number and go up to next 8 numbers]

the odd consecutive series 7 , 9 , 11 , 13 , 15 .

There are 5 numbers in total .

The 1st number is 7 and the last number is 15 .

Therefore , difference between the 1st and the last number is 15 - 7 = 8 .

Hence , there are 5 consecutive odd nos .

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Answer: It depends on how you put it in the calculator

Step-by-step explanation:

11x10=110

110-12=98

93/3 = 32.66

Answer:

73.5

Step-by-step explanation:

HOYAAAAAAAAJIIJUJJ

Answer:

........the answer is 73.5

We have:

Let x = new monthly comined salary

1/4x for bills

1/5x for car payment

$1100 leftover each month

Then, the sum of all these payments plus savings should give us your new salary. So:

And solve for x

Therefore, her new monthly salary must be $2000

Answer: $2000

The domain of the question is expressed as; 0 ≤ x ≤ 4

The range of the question is expressed as; 100 ≤ f(x) ≤ 207.36

The domain of a graph is defined as the set of all possible input values that makes the function possible while the range is defined as the set of all possible output values that can result from the possible input values.

Now, we are told that the insect population increases by 20% each month from May 1 to September 1.

The function that represents the insect population after x months is;

f(x) = 100(1.2)ˣ

Thus, the domain is from x = 0 to 4 months inclusive. 0 ≤ x ≤ 4

f(0) = 100(1.2)⁰

f(0) = 100

f(4) = 100(1.2)⁴

f(4) = 207.36

100 ≤ f(x) ≤ 207.36

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Answer:

200 cubic inches

Step-by-step explanation:

all you have to do is multiply.

The expression which is not equivalent to the provided expression is expression number 1, x²(-4x+1)-2(3x-4).

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

The expression given in the problem is

f(x)=-4x³+x²-6x+8

The option given as,

From the given expression, if we take out x from the first three terms, it looks like option 2.

f(x)=-4x³+x²-6x+8

f(x)=x(-4x²+x-6)+8

From the given expression, if the last three terms factored, it looks like option 3.

f(x)=-4x³+x²-6x+8

f(x)=-4x³+x^2-4x-2x+8

f(x)=-4x³+x(x-4)-2(x-4)

f(x)=-4x³+(x-4)(x-2)

Rearrange the given expression, and make it looks like option 4.

f(x)=-4x³+x²-6x+8

f(x)=-4x²+8+x²-6x

f(x)=-4(x³-2)+x(x-6)

Thus, the expression which is not equivalent to the provided expression is expression number 1, x²(-4x+1)-2(3x-4).

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Answer:

Step-by-step explanation:

Tina is training for a biathlon. To train for the running portion of the race, she runs 7 miles each day over the same course. The first 4 miles of the course is on level ground, while the last 3 miles is downhill. She runs 3 miles per hour slower on level.

Answer:

yes 8x is a coefficient

Step-by-step explanation:

because I know but if I'm wrong than sry

Answer:

(x y) (y x) reflexive, (y x) (y -1) anti symmetry

Answer:

\(a(1) = 144\)

\(a(n) = 144{( - \frac{1}{6} )}^{n - 1} \)

\(a(n) = - \frac{1}{6} a(n - 1)\)

Answer:

The answer is 2 eggs per brownie.

Step-by-step explanation:

Answer:

a = 60

b = 60

Step-by-step explanation:

We know that BC is 90°, because of the square thingy.

YB is 30°.

Now we do 180 - 30 - 90 = 60 (180 is the straight angle)

60  = b

Then a is the same.

9514 1404 393

Answer:

  a) S(p) = -97.78p +2977.78

  b) about 98 fewer shirts per week will be sold for each $1 increase in price

  c) 533 shirts per week

  d) $15.63

Step-by-step explanation:

a) You are given two ordered pairs: (p, s) = (10, 2000) and (19, 1120). The two-point form of the equation for a line can be used.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  s = (1120 -2000)/(19 -10)(p -10) +2000

  s = -97.78(p -10) +2000

  S(p) = -97.78p +2977.78

__

b) The slope is shirts/dollar, meaning about 98 fewer shirts will be sold for each dollar increase in price.

__

c) S(25) ≈ 533

At a price of $25, the store would sell about 533 shirts per week.

__

d) 1450 = S(p) = -97.78p +2977.78

  -1527.78 = -97.78p

  15.625 = p ≈ 15.63

The store should charge $15.63 per shirt to maintain sales of 1450 shirts per week.

Answer:

d + 85

Step-by-step explanation:

Look at it like this,

suppose you have 1 DVD, and the mother buys 85 DVDs then you have 1 + 85 = 86 DVDS

or when you have 2 DVDs, then you have 2 + 85 = 87 DVDs afterwards.

notice that you always take the number of DVDs you already have, and add 85 to it.

d is just a number, but you just don't know it yet. you can change d by any number, and you know d+85 is the number of DVDs afterwards

Answer:

Step-by-step explanation:

The present value of the annuity is approximately `7032.08. The correct answer is option (d) None of these.

To find the present value of an annuity, we can use the formula:

PV = PMT * (1 - (1 + r)^(-n)) / r

Where PV is the present value, PMT is the periodic payment, r is the interest rate per period, and n is the number of periods.

In this case, the periodic payment is `200, the interest rate is 5% (or 0.05) converted quarterly, and the number of periods is 10 years, which equals 40 quarters.

Plugging in these values into the formula, we get:

PV = 200 * (1 - (1 + 0.05)^(-40)) / 0.05

Simplifying the equation, we find:

PV ≈ 200 * (1 - 0.12198) / 0.05

PV ≈ 200 * 0.87802 / 0.05

PV ≈ 35160.4 / 0.05

PV ≈ 7032.08

Therefore, the present value of the annuity is approximately `7032.08.

None of the provided answer options (a), (b), or (c) match this result. The correct answer is (d) None of these.

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